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  5/4, -1/4, -7/12, -1/4, -3/4, -3/2, 1, -5/6, 5/6, 1/6, 5/6, -1/6, -1/3, 
  37/12, 1/12, 5/6, -5/2, -7/6, -2/3, 1/3, -11/6, -1/4, -5/6, -1/6, 1/8, 
  -5/16, 1/4, -1/16, 1/8, -1/2, -3, -21/8, 1/8, 13/24, 31/12, 25/6, 25/24, 
  35/12, 7/8, -8/3, -47/12, 3/2, -3/8, 17/12, 85/24, -3/8, -11/12, -71/24, 
  -7/3, -83/24, 73/24, 7/24, -1, 7/24, 3/8, 11/8, -1/24, -1/24, -1/8, -1/6, 
  59/24, 45/16, -41/24, -49/8, -22/3, 8/3, 251/48, -17/24, 3/8, -13/12, -4, 
  8/3, 169/24, -49/24, -7/24, 4/3, -25/24, 1/24, 2/3, 13/24, -1/4, 0, 25/24, 
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  -31/12, -22/3, 0, 3, 1/4, 121/24, 127/12, -101/24, 131/24, -1/4, 1/12, 
  -19/24, -77/12, -25/24, -71/24, -1/4, 25/24, 2/3, 1/24, 19/24, 35/12, 45/8, 
  -29/8, -139/24, 53/12, 19/12, -17/12, -1/24, -19/24, -33/4, 2, -13/12, 
  -5/24, 95/24, 11/24, -13/24, 2/3, 23/24, -1/2, -5/12, 25/12, -19/12, -1/3, 
  25/24, -19/12, -1/3, -1/4, -1/4, -5/2, -21/4, -2/3, 6, 10/3, 11/8, -209/24, 
  -7/8, 1/8, 0, 49/24, 127/12, 7/6, -151/24, -47/24, -15/8, 101/8, 1, -1/8, 
  1/4, -77/12, 11/12, -35/24, -25/6, -5/24, 25/24, 1/2, 1/24, 1/4, 5/12, 
  -17/24, 45/8, 1/6, -15/2, 37/12, 127/12, -25/24, 65/24, -33/4, 47/12, 
  -43/6, -20/3, -1, 29/8, 3/2, -3/8, -1/6, 37/12, -1/2, -175/24, -5/3, 25/24, 
  11/4, -1/6, -1/8, -5/4, -21/8, -1/8, 3, 5/3, 5/8, -209/48, -7/16, -1/8, 
  31/48, 85/24, 1/8, -27/16, -97/48, 3/4, 25/24, 33/8, 49/16, -8/3, 7/16, 
  3/2, 1/4, -1, -1/4, 5/6, -7/8, -31/48, -185/48, -5/8, -1/24, 1/24, 1/8, 
  15/16, 1/8, -17/48, 45/16, -15/4, 37/24, 127/24, 19/48, -9/4, -1/48, -1/4, 
  -71/16, -1, -9/2, -17/24, 9/16, -1/8, 221/48, 3, -15/16, 77/48, -1/4, 
  -175/48, -29/48, 11/8, 75/16, -19/24, -19/8, -1, 1, 1, 1, -1, -1, 1, -1, 1, 
  1, 1, 1, 1, -1, 2, -1, -1, 1, -1, -1, 1, 3, 3, -3, 0, 0, 1/2, -1, -1, 1, 
  -1, -1/2, 1/2, 1/2, 1/2, 1/2, 1, -2, 1, 1, -2, 1, -2, 2, -1/2, 1/2, 1, 
  -3/2, -2, 2, 2, 0, -6, 13/2, -2, 3/4, 5, -2, -3, 17/2, 5, 0, -1, 0, 1, -1, 
  -1/2, 2, 1, 0, 0, 0, 2, -1, 11/4, -1, 3/4, -5, 2, -1, 3, -2, -3, 4, -2, 
  -1/2, -1/4, -3/4, -1, 1/8, 5/2, -1, 1/4, -1/2, 5/4, -1, 9/4, 1/4, 1/4, 2, 
  1/4, 2/3, 1/2, -1/2, 1/3, -1, 1/2, 1/2, -1/2, -1, 1, 1/2, 1/2, 1, -1/2, 
  -1/2, 1/4, 1/6, 1/6, -1/4, -1/2, -1/4, -1/2, -1/4, 1/2, 1/2, -1, -1, 3/2, 
  -2/3, 3/2, 1/2, -2, -1/2, 9/4, 3/2, -18, -1, -1, -2, -1/2, 2, -1/2, 5/2, 
  -1/2, -1/2, -1/2, -23/12, 7, 3/2, 23/12, -1/2, 4, -4, -8, 49/12, 7, -1, -5, 
  -37/12, -7, -5, 5, 5, -14, -18, 20, 14, 27/2, -18, 5, 1/2, -9/4, 4, -3/4, 
  179/36, -233/12, 55/4, -5/3, -35/4, -1/4, 3/2, 3/2, 1/4, 3/2, 9/4, -11/2, 
  1, 37/6, -1/3, -13/6, -1/4, -3/2, -9/4, -1/2, 5/2, -3/2, 1/2, -5, 1/3, -5, 
  5/2, -47/12, 21/4, -9, -19/4, -5, 3/4, 43/12, 1/4, 1/6, -1/4, -3/4, -21/4, 
  -5, -31/12, 13/4, 49/12, 5/4, -5/4, 1/2, 23/6, 43/12, 7/3, -16/3, -5/6, 
  -1/12, 1/6, 1/3, 1/4, 1/12, 2/3, -1/3, -1/12, -1/3, -9/8, -9/4, -2, -29/8, 
  -1/8, -29/8, 1/2, -9/4, 5/2, -3/8, -13/6, 0, 1/6, -1/2, -29/8, 1/2, -1/2, 
  1/2, 3/8, -11/8, -11/8, -1/8, -79/12, 1/2, 79/12, 1/4, -29/8, 5/4, -9/8, 
  227/24, 1/2, 31/12, 31/3, 1/2, -131/24, -3, 5/2, -7/2, -3/2, -3/8, -25/12, 
  -7/6, -3/8, 25/12, -7/12, -1/4, 1/8, -1/12, -1/6, -13/6, -25/24, 3/4, 
  17/12, 5/6, 5/2, -1/12, 1/12, 1/2, 37/12, -5/6, 1, 2/3, -1/3, 4/3, 1/4, 
  5/6, 5/12, -9/2, -1/4, -11/6, 89/12, -25/3, 3, 3/4, 23/8, -43/8, 7/4, 
  -7/12, -37/12, 5/8, 1/12, 15/8, -5/4, 103/12, -71/12, -17/12, 11/6, -41/2, 
  35/3, 9/4, 39/4, -17/6, -22/3, 55/6, -4/3, 203/12, -137/12, -115/12, -1/4, 
  1/4, 1/4, 15/16, -2, -1/4, -23/24, -175/24, -25/12, 55/16, -71/24, 16/3, 
  -7/2, -3, -5/48, 4/3, 1/2, 2, 41/4, 31/24, 79/16, 5/4, 5/24, -1/3, -1/12, 
  -247/48, -15/8, -1/24, 22/3, 95/8, 1/24, 151/16, 563/48, 2, 17/24, 17/12, 
  -143/24, -259/16, 1, -67/4, -27/4, 65/8, 9/8, 3/4, -41/4, -69/8, -7/2, 
  -7/24, 19/12, -3/2, 25/2, 23/4, 3/4, 1/4, 1/4, -1/4, -3/8, -25/16, 2, 
  91/48, 175/48, -2, -49/48, -25/12, -1/2, 61/48, -5/48, -15/4, -263/48, 
  -5/12, 45/16, -15/16, 5/3, 149/48, 1/24, -31/24, -9/16, -93/16, 9/4, 53/8, 
  61/48, 97/16, -16/3, -17/24, 13/8, 59/16, 45/16, -23/2, -49/12, 19/3, 5/8, 
  -25/8, 39/8, -23/24, -23/6, 7/8, -15/4, 49/12, -11/8, 1/4, 95/12, -1/8, 
  -49/12, -49/12, 3/4, 1/4, -1/4, 3/4, 9/4, -35/24, 29/24, -9/4, 53/24, 
  -47/24, -1/2, 5/8, 43/48, -15/4, -119/24, -5/12, 39/16, -15/16, 5/3, 
  137/48, 1/24, 0, -17/24, -9, 7/2, 10/3, -57/16, 183/16, -19/3, 1/12, 3, 
  31/24, 257/24, 13/16, -32/3, -97/8, 20/3, -2/3, -15/8, 20/3, -23/24, 
  -31/24, 185/16, -49/4, -1/2, -259/24, -7/12, 31/12, 253/24, -3/4, -47/8, 
  1/6, 97/8, -8/3, -14/3, -1/4, 0, 1/4, 7/4, 13/2, 21/2, 43/24, 203/24, 3, 
  -1/4, -133/24, -47/3, -53/12, -103/12, -1/4, 23/4, 13/6, -1/12, -5/4, 
  -247/24, -45/4, 91/24, -53/12, 133/24, 113/6, 23/12, -69/8, 13/4, 1, -19/6, 
  -29/4, 0, 1/4, 5/4, 17/2, 21/2, -9/4, -227/12, -29/24, -1/3, 87/4, 3, 0, 
  -53/8, -47/3, 343/24, 11/4, -149/8, -1/3, 23/4, -31/24, -1/12, 3/2, 103/24, 
  -45/4, 34/3, -29/4, -235/12, -25/4, 167/12, 17/2, -31/6, -17/3, 1, 12, 
  -91/24, 0, -11/2, 14, -17/2, -5, 2, 21/2, 11/2, -17/2, -45/4, 87/4, 45/4, 
  45/4, -1/8, -23/4, -21/4, 34/3, 1/3, -95/24, -53/24, -7/4, 3/4, 97/12, 
  -23/8, 5/12, 91/24, 193/12, -43/24, -259/24, -43/4, -97/12, 87/8, 23/3, 
  -23/24, -67/24, 353/24, -157/24, -139/12, -55/24, 89/24, -7/8, 19/6, 7/24, 
  1/8, 29/24, -69/2, -27/2, -71/24, 45, 5/8, 21/4, 11/2, 20, -187/12, -53/3, 
  77/8, 21/4, -49/8, -9/4, -21/2, -29/24, 851/24, -3/8, 5/24, -375/8, 17/4, 
  91/12, -503/24, -221/24, -39/8, -35/24, 14, -45/8, 43/12, -1/4, -5/2, 
  -21/4, 1/4, 25/4, 35/6, 21/4, 11/6, -353/24, -10/3, -77/24, 209/24, 9/8, 
  -1/4, 37/24, 115/12, 21/4, -11/6, -595/48, -125/12, 427/48, 221/16, 
  -385/48, 3/4, -79/24, -85/12, -191/48, 341/48, -23/6, -7/12, 2, 259/48, 
  1/12, 1/4, -17/24, 45/8, -97/12, 91/24, -45/8, 221/12, -37/12, -127/12, 
  13/24, -91/24, -45/8, 17/12, -85/24, 1/3, 9/2, 71/12, -9/8, 77/24, -1/2, 
  -41/4, 1/2, 169/24, -53/12, 1/2, 33/4, 29/24, 1/4, 5/2, 21/4, -1/2, 11/8, 
  -9/2, 17/12, 77/24, -527/48, 95/16, -191/48, 647/48, 21/8, 1/4, -31/24, 
  -85/12, 5/2, -47/12, -89/48, -29/16, 5/16, -511/48, -1/2, 2, -79/24, 
  121/16, 59/24, 1/12, 9/8, 17/8, 37/12, -45/8, -127/24, 9/2, -9/8, -19/8, 
  -191/24, 1/2, 55/8, 43/12, -9/2, 19/8, -19/8, 3/4, 1/4, -3/4, 3/2, -13/4, 
  9/8, 1, -3/4, 53/48, 91/48, -31/16, 61/48, -115/48, 3/16, -7/2, -1/4, 7/4, 
  -3/4, 307/24, -21/16, -61/16, -26/3, -25/24, 25/4, 35/6, -1/3, -1/2, 
  -275/16, -91/24, 185/48, -25/6, 1/6, 125/16, 13/12, -19/8, -21/8, -27/8, 
  11/6, 107/8, -173/24, 151/24, -79/12, -127/12, 79/12, 77/24, 7/8, -6, 
  -17/6, -217/24, -15/4, 37/24, -31/8, -11/24, 25/8, 35/8, -119/24, 37/6, 
  -47/24, -31/8, -2, -253/24, 3/4, -57/8, -3/4, 1/2, -3/4, 1/2, 5/3, -39/16, 
  -1/16, 31/16, 3/16, 11/4, -5/4, -1/2, -85/24, -31/8, -11/8, -37/12, 1/6, 
  107/16, 13/12, 1/4, 5/2, 21/4, 1/2, -6, -10/3, -9/8, 209/24, 3/4, 13/8, 
  -5/3, -209/24, 47/24, 23/48, -469/48, -53/24, 97/24, 497/48, -41/24, -1/4, 
  17/24, -45/8, 15/2, -37/12, -127/12, -5/3, 41/8, 215/24, -19/4, -37/12, 
  1/2, 89/12, -31/24, 1/4, 5/2, 21/4, 1/4, -25/4, -35/6, -21/4, -3/2, 353/24, 
  10/3, 17/8, -209/24, -7/8, 1/4, -31/24, -85/12, 11/4, 319/48, 65/6, 1/4, 
  -271/16, -25/8, -5/4, 319/24, 1, -1/2, 2, 1/8, -31/16, -221/24, 4/3, -1/12, 
  -101/24, 1/12, -1/4, 43/12, 25/24, 1/24, -1/4, 17/24, -45/8, 31/4, -91/24, 
  45/8, -217/12, 37/12, 127/12, -19/24, 9/2, -69/8, -133/24, -85/12, -9/8, 
  11/4, 67/24, -11/24, -77/24, 1/2, 21/2, -1/2, -175/24, 29/24, -4/3, 41/12, 
  -7/24, 1/4, 1/4, -5/8, -3/4, 3/4, 35/24, -31/12, -1/2, -11/6, 89/24, 1/8, 
  -1/2, 25/24, 3/4, 89/48, 67/24, -51/16, 7/24, -5/12, -161/48, -1/24, 21/8, 
  -1/8, -25/24, 8/3, -3/2, -85/24, 1, 1/24, -1/8, -15/16, 5/16, -29/16, 
  -35/8, -5/12, -25/4, 13/8, 221/24, -7/12, 93/16, -445/48, 9/8, 47/16, -1/2, 
  13/4, 19/16, -1/4, 63/8, 121/16, -13/4, -25/12, -19/48, -83/6, 16/3, -17/8, 
  -3, 47/24, -3/2, 1/2, -431/48, 2, 31/24, 115/12, 5/4, -13/12, -1/12, -1/4, 
  -15/8, 1/8, 29/24, -21/8, 79/16, 21/8, 25/24, -65/24, 251/24, -229/24, 
  -13/3, 65/12, -133/24, 14/3, -16/3, -3/2, -1/4, -341/48, -1/3, 58/3, -1/3, 
  73/12, 139/48, -1/12, 269/48, 13/24, -29/3, -67/24, 1/4, -13/12, 1/12, 
  -1/24, -11/12, 55/24, -65/24, -45/16, 23/12, -53/12, 47/6, -7/4, 33/16, 
  17/24, 5/12, 17/4, -1/12, -109/12, 3/8, -1/12, -21/8, 13/4, 7/12, 0, -5/12, 
  1/4, 5/12, -25/24, 19/24, 0, -7/12, 1/3, 0, -1/4, 5/8, 7/8, 1/8, -35/24, 
  37/12, -19/16, 1/12, -139/48, 1, 1/2, -25/24, -5/4, -89/48, -55/24, 69/16, 
  -9/4, -7/24, -49/12, 377/48, 1/24, -1/8, 1/4, -5/16, -7/8, -11/12, 67/48, 
  -115/48, 7/8, 89/24, -11/6, 65/24, -203/48, 3/16, 25/16, 1/4, -1/4, -5/24, 
  -1/8, 37/48, 89/16, -61/24, -25/24, -77/48, -16/3, 8/3, -17/16, -3/2, 
  -1/24, 1/24, 1/4, -43/24, 1, 31/48, 33/8, 5/8, -1/24, 1/24, -15/16, 1/8, 
  -5/4, 49/48, 133/16, -21/8, 25/24, 235/48, 53/8, -199/48, -1, -107/12, 
  -151/24, -5/3, 77/24, 3/2, -1/2, 25/12, -19/3, 133/24, -143/48, -83/8, 
  17/8, 89/12, 115/8, -67/12, 2/3, -1/3, -11/3, 3, 2/3, -73/12, -1/3, 5/6, 
  -11/48, 1/24, 7/8, -89/24, -809/48, 45/16, -47/12, 241/48, 191/48, 1/3, 
  -67/16, -17/24, -5/8, 117/8, 37/8, 95/24, -113/48, 19/6, -37/24, -79/12, 
  -17/8, 31/24, 11/4, 241/24, -1/4, -2, 31/24, -19/24, -15/2, -211/24, 1, 
  19/4, 1/4, 5/2, 21/4, -3/8, -61/8, -7/3, -3/4, -59/24, 115/12, 19/16, 14/3, 
  -7/16, -3/2, 1/4, -31/24, -85/12, 41/8, 235/48, 43/24, -379/48, -169/48, 
  5/8, -1/2, 2, -65/24, -5/3, 35/16, 1/12, 5/8, 3/8, 17/6, -45/8, 109/24, 
  -245/48, 71/16, -26/3, -5/12, 17/24, -37/12, 23/16, 125/48, -47/48, 23/12, 
  7/6, 11/12, -25/16, -5/8, -25/12, 23/16, 4, -75/16, 19/24, 17/24, -61/24, 
  -5/8, -73/72, -107/8, -13/4, 21/8, -47/72, 43/2, 17/6, 65/12, -319/48, 
  -61/16, -1/4, -19/9, 881/48, -61/24, 2/3, 173/48, -273/16, -5/3, -169/24, 
  5/4, 1/2, 41/24, -1/3, 91/24, 425/48, 1/4, -1/12, 11/24, -57/8, 73/72, 
  53/4, 11/48, -45/16, -89/24, -51/4, 37/12, 17/4, 1/3, 13/9, -395/16, 63/8, 
  59/48, 1237/48, -139/24, -61/12, 37/6, -145/48, 115/24, 1/8, 145/48, 1/4, 
  -45/8, 175/48, 25/12, -131/24, 31/6, -5/24, 1/8, 5/4, 21/8, -1/8, -25/8, 
  -35/12, -21/8, -11/12, 353/48, 5/3, 77/48, -209/48, -9/16, 1/8, -31/48, 
  -85/24, -3/4, 37/16, 41/12, 133/24, 11/8, -111/16, -95/16, -53/48, 31/3, 
  17/16, -1/4, 1, 23/8, -25/12, -121/24, -203/48, -23/12, -25/6, 1/24, -10/3, 
  9/8, 25/4, 9/8, 1/8, 137/48, 39/16, 1/4, -47/24, -251/48, 45/16, -5/4, 
  -1/2, 37/24, 7/8, 127/24, 1/4, -31/16, -22/3, -21/4, 17/16, 161/12, -29/48, 
  -5/4, -599/48, -89/12, -3/4, 131/48, 85/12, 163/48, -125/24, 25/3, 7/12, 
  -2, -31/4, -1/12, -1/4, -43/48, -43/8, 15/2, 49/24, -1/4, -127/12, -169/48, 
  -13/24, 211/48, 45/8, -31/6, -7/48, 27/2, -1/3, -9/2, -47/6, 9/8, -77/24, 
  1/2, 175/24, 53/12, -1/2, -29/3, -29/24, -1, 0, -1/2, -1, -2, 1, -1, -2, 2, 
  0, -8, 8, 69/4, 5/2, 3/4, -9/8, 3/8, 1, 0, -59/4, -13/2, 59/4, 7/4, 59/4, 
  -2, 0, 1, -1, 1/2, 1/2, 1, -2, -1, 21/16, 21/16, -89/16, 5/2, -21/32, 
  21/32, -1/2, -2, -4, 0, -2, 0, -44/3, 95/12, -95/12, 95/12, -1, 8, -8, 8, 
  6, -1, 4, 6, -4/3, 5/2, -5, 5/2, 1/2, -1/6, -1, -45/8, 1/2, 1/2, 0, 0, 
  -1/4, -3/2, -1/2, -1/2, 45, -137/2, -155/2, 3/2, 1, 2, 1, -7/6, -16/3, 
  -8/3, -10/3, 1/6, 1, -19/6, 3/2, 1/6, -1/3, 5/6, -1/2, -8/3, 2/3, -1/6, 
  -71/16, -35/16, -21/4, 3, 21/2, -3, -79/12, 11/2, -3, -11/2, 0, -7/8, 7/8, 
  0, 0, 1/2, -1/2, 8, -8, 437/6, -629/6, 219/2, -29/4, 21/4, 3/2, -1/4, 
  -5/12, -7/4, -17/6, -2, 1, -7/4, -1, -1/6, 7/4, 5/4, 1, -1/6, -7/4, 7/4, 
  1/4, -1, 1/2, 3/2, -1, -2, 1/4, -1/6, -1/2, 4, -13/6, -2, 1/2, -1, -13/3, 
  -4, -4/3, -1/3, 29/12, 14/3, 7/4, 3, 17/6, -1/6, -5/2, 26/3, 3/4, -1, 7/6, 
  -3/4, -7/3, -3/2, -4/3, 1/4, 4, -47/2, 35, 0, -3/2, 0, 5/2, -19/8, -23/3, 
  67/4, -1/2, 43/6, 1, -1/3, 2/3, -267/64, -89/32, 267/32, -1/3, -73/64, 
  -73/32, 73/64, 73/32, 1/3, 85/16, -89/16, -9/8, 3/4, 3/4, -1/64, -607/32, 
  1805/96, -43/16, -171/16, -1/32, 1897/64, 169/16, 7/8, 3, 3/4, 3/4, 
  -333/64, -11/2, 5/2, -87/16, -493/192, -1/32, 2455/96, 177/16, -2/3, -1/6, 
  0, 13/6, -1/3, -5/3, -10/3, 2/3, -5/3, 5/3, -3, 3, -4/3, -5/3, -19/6, 5/3, 
  43/6, -43/6, -109/12, 181/12, -75/4, -39/2, -75/8, 149/4, 185/8, 155/4, -1, 
  33/8, 197/36, -163/8, -97/8, -199/8, 589/18, 199/8, -163/8, -3/8, -199/8, 
  -1, 155/4, -1, -1, 5/8, -1/4, 4, 95/4, 1153/24, 5, 119/8, 1177/48, 13, 
  -9299/144, 45/16, 619/24, 9605/144, -253/12, 185/48, -1/2, 61/12, 1/2, 
  -173/16, 77/8, -39/8, -5/2, -2, 12, -39/8, -913/48, 197/24, -109/12, -67/4, 
  1/2, -26/3, -2, 3, -47/6, 29/6, -3/2, 3/2, 1/3, -1/12, 0, 22, -213/4, 0, 
  53/2, -251/4, 9/2, 73/2, 46, -3/4, -19/4, -3/2, -4, -25/2, -11, 3/2, 19/4, 
  4, -3/4, -1/4, -95/2, 129/4, -30, -17, -103/2, 9/2, 27, 73/2, -17/4, 25, 
  21, 11/2, -25, -1, -79/6, 15/2, -203/12, 399/32, 87/32, 3/2, -31, 221/4, 
  1/2, -313/12, -19/8, 42, -1055/24, 29/8, -1/4, -43/4, -11/4, 13/2, -57/4, 
  -1/8, -3/4, -287/16, -35/32, 99/4, 183/16, -1/8, 15/16, 1/8, 1/4, -23/24, 
  3/2, -2/3, 7/6, -3/2, 7/4, 7/24, -2, 23/24, -65/12, 9/2, 59/2, 19/6, 
  -781/24, 19/24, -1/4, -107/12, -11/4, 1, -71/12, -115/12, 139/24, 4/3, 
  -89/48, -473/96, 647/48, 709/48, 17/4, -17/12, 23/24, -5/2, 17/12, 67/18, 
  -5, 5/6, 7/2, 269/24, -101/36, 21/4, 6, -61/6, -5, 8/3, 1/6, -2/3, -15/8, 
  1/12, 1/2, -1/8, 9, 12, -59/3, -12, 32/3, -39/4, -28/3, 73/6, -8/3, 0, 
  -5/3, -5/4, 1/4, 1/2, 1/9, -11/12, -5/18, -1/2, 1/6, 1/4, -1/2, 1/4, -1/9, 
  5/12, -1/4, 1/4, -1/4, 1/24, 1/2, -7/8, -1/12, 7/8, 7/4, 1/8, -7/4, -1/4, 
  1/8, -1/4, 1/8, -7/6, -1/4, -7/6, -63/4, 35/4, -9/4, 1/4, 1/2, -43/24, 3/4, 
  -1/12, -227/48, 247/24, -475/48, 111/8, -73/4, -1/4, 1/2, 3/32, 31/32, 
  7/16, 15/16, -1/12, -17/32, -45/32, -5/4, 21/8, -87/32, -17/8, -83/16, 
  5/24, -21/8, 101/32, -7/8, -3/8, 9/2, 7/8, 1/8, 1/4, 5/32, -11/32, 11/48, 
  -5/4, 199/96, 7/32, 2/3, -29/8, -1/12, -265/48, 141/32, -83/48, 247/24, 
  -299/32, -175/48, 63/8, 37/4, -49/8, -1/8, 1/4, -1/2, 25/12, -16/3, 23/8, 
  -5/4, 1/4, -5/6, -727/96, 157/48, 2/3, -1/12, 223/32, -1/12, -311/48, -1/2, 
  -43/12, 79/12, -33/8, 593/32, 13/4, 431/48, -1535/96, 63/8, 13/3, 25/12, 
  -59/2, 61/24, -23/8, -75/8, -45/16, -1/4, 341/48, 23/8, 9/16, -85/96, -1/8, 
  23/8, 22/3, 137/8, -179/24, -319/32, 37/6, 49/24, -3/2, -1/24, 3/16, 15/8, 
  3/16, -15/8, 3/16, -31/32, -1/16, -31/32, -3/8, 1/8, -3/16, 145/32, 201/32, 
  -9/16, -43/96, 7/12, 9/8, -333/32, 59/12, 4, -11/4, 159/16, -179/16, 35/8, 
  91/24, -51/4, 193/16, 129/16, -223/48, 41/16, 101/8, 31/4, 3/4, -4/3, -5/8, 
  -887/96, -91/12, -9/4, 3/4, -1/16, 23/6, 1/8, -41/16, -1309/96, -55/4, 5/6, 
  -1/4, 869/96, 813/32, -1/8, -73/32, 97/96, 485/32, -5/4, -1157/48, -293/32, 
  1/8, 1/4, -7/8, 1/4, -3/4, 1/2, 1/4, -1, 1/4, 1/6, 3/4, 97/36, -1/6, 
  -29/24, -43/36, 1/12, 7/2, -1/2, 1/2, -19/4, 23/12, 203/72, 13/8, -25/4, 1, 
  1, 1, -1/2, 3/2, 5/6, -7/8, -11/12, 1/4, 13/8, -5, 1/3, 5/4, -1/2, 15/4, 
  -1/2, 0, -1/2, 313/8, 10, 129/8, -4, -117/4, 3/2, -273/8, -53/3, 4, 901/36, 
  5/6, 109/24, -11/12, -1/4, -11, -2, 151/8, -1/24, -31/6, 14, 7, -43/8, 
  -13/2, 1/2, 1/2, -215/72, 853/36, -206/9, 6007/72, -6803/36, 6427/72, 
  2493/8, -659/4, -257/4, 121/36, 34/3, 181/36, 48, -18, -25/2, 7/4, 61/4, 
  -1, -1/3, 53/96, -205/32, 7/2, 187/32, 807/16, 2127/64, 36, -9/8, 
  -3111/128, -903/8, -104, -3/8, 4347/128, 84, 1/8, -97/6, -183/4, -3155/64, 
  -3727/128, -11/32, 3979/64, 465/32, -117/256, -2845/192, 667/32, 275/128, 
  415/256, -405/16, -43/32, -1321/96, 613/192, -11/24, 9/8, 6725/384, 
  -1451/192, 19/12, -491/128, 455/96, -10813/192, 79/192, -83/32, 1791/64, 
  -751/768, -5/6, -2889/128, 415/256, -25/8, -43/32, 1/8, 43/96, 1573/96, 
  -1897/96, 9/4, -3/4, -689/48, 1/4, 9/8, -55/96, -2981/128, 5381/384, -23/4, 
  1495/48, 4, 1019/384, 415/384, -397/24, 59/12, 199/32, 789/32, 905/128, 
  -5/2, 321/16, 3/4, -13/384, -25799/384, -565/24, 461/12, -511/12, 
  -1819/384, -14/3, 455/16, 803/32, 2, -15, 86/3, -2, 47/36, 11/36, 13/9, 
  13/72, 1/12, -325/36, -11/18, -62/3, 26/3, -1/2, 39/2, -1/2, -17/18, 
  -118/9, 31/9, 118/9, 247/36, 149/9, -121/18, -743/36, -59/36, -31/9, 
  -11/18, 0, -217/36, -65/3, -31/12, 311/36, 53/18, -271/18, 10, 767/72, 
  127/12, -655/48, 1253/36, -371/16, -445/4, 657/8, 283/8, -5251/72, 
  11021/72, -60, 1535/4, -3791/24, 4915/12, -67/3, 10733/216, -5927/216, 
  -11/18, 12401/7200, -50083/1440, -1139/54, -11/72, 3619/18, -13/54, 
  -96509/240, 121/216, 48149/240, -11/18, -165991/720, -155389/480, -125/32, 
  325077/800, 374833/1200, -1432069/7200, 196651/480, 12511/90, 
  -2492213/7200, -679093/4320, -7939/48, 3935/48, 1, -5/2, -4951/24, 1/2, -3, 
  1/2, -23/4, 9/4, 535/36, -9/4, -9, 757/48, -5267/40, -185/32, -283/9, 
  65897/800, 189/16, 9577/40, 5281/40, -129797/800, -26179/160, 427/18, 
  -41/16, 133/16, -2603/36, 283/16, 50, 3087/40, -1865/96, -229891/2400, 
  -22847/480, -6517/48, -553/16, 2891/48, -1323/16, -4819/24, 6, 9/2, -7/2, 
  17, 32, -86/3, 3, 11/6, 1, 3, -15/2, -371/24, -17/8, 63/8, -49/8, -2, -11, 
  -23/3, 17/4, 139/3, 881/24, 49/8, 37/3, -5/3, -47, -13/3, -1/4, 279/8, 
  -819/8, 7, 21/2, 3, -9/2, -59/4, -39/8, -63/8, 95/8, -33/8, -9/4, -95/2, 
  -77/2, -63/4, 83/2, -47/8, -103/8, 75, 99/2, -25/4, -69/2, -279/8, -291/8, 
  135, 291/8, -801/8, 279/4, 291/8, -135, -279/8, -1/2, -5/4, -11/16, 71/24, 
  479/144, -305/144, -13/2, 415/24, -1169/144, 947/12, -8495/144, -2609/48, 
  -33/4, 343/48, -1481/288, 1073/24, -10559/288, -3089/96, -21/8, -2875/144, 
  -87/4, 85/8, 11983/864, 4583/144, -787/36, -8407/288, 133/9, 215/24, 
  1035/32, 13519/432, 3/2, -40/3, -41111/576, -27205/432, -313/192, 
  -1679/576, -13/64, -5197/144, -17629/288, 1/18, 39301/576, 25915/192, 
  241/48, 8665/288, -19/18, -60877/864, -731/288, 203/24, 425/16, 16435/432, 
  3/2, -409/24, -6657/64, -29689/432, 415/64, 18293/576, -355/64, -1179/32, 
  -13327/288, 1/18, 66161/576, 24959/192, -3647/96, 1877/72, -19/18, 
  -13477/216, -731/288, 20/3, -1241/96, 27/4, -179/12, 1433/96, 10, 281/32, 
  175/48, 1017/32, -2069/288, 1153/96, 695/24, 1633/96, -9749/288, -1649/96, 
  1/3, -73/3, 431/12, 1/18, -189/4, 2/3, -50, -18, 451/9, -1/2, 73/4, 
  -2267/36, 41803/216, -2525/16, 1613/432, -16079/72, 2987/8, -4715/108, 
  46/3, -90, -18, -100/3, 40, 56/3, -1253/12, 287/4, 649/3, -484177/3600, 
  -511/6, -2511/8, -8953/90, 936877/3600, 32711/180, -33/2, 5683/36, -1/2, 
  199/6, -343/4, -53/3, -2387/36, 73/4, 173/4, -1/4, 1/4, -1, -6, -21/2, -3, 
  15/4, -5/8, -3/4, 17/6, 85/6, 5/12, 15/8, 13/3, 7/12, -4, 7/18, -11/8, 
  -1/6, -1/12, -1/4, -1/3, 59/12, 45/8, 3/4, -13/6, -8, -7/12, 8/3, 1/12, 
  4/3, 13/12, -1/2, -2/3, 11/12, -2/3, -1/8, -3/4, 22/3, -29/4, 21/2, 1/12, 
  -7/4, -20, 7/4, -13/4, 23/6, -4/3, 39/4, 2/3, -6, 5/8, 1/6, -3, -13, 1/6, 
  21/2, -25/4, 39/4, 13, 125/24, -3/4, 5/6, 3, -13/12, -49/12, -83/12, 7/12, 
  -1/4, 17/6, -1/3, 11/12, -151/12, 7/2, -45/4, 9/2, 397/12, 75/2, -301/12, 
  -233/12, 45/8, -5/24, 19/6, 67/2, -43/3, -475/12, -143/12, 5/24, -19/4, 
  44/3, -11/12, 21/4, 15/4, 3/4, 11/6, -19/4, 4, 1/8, 17/4, 47/6, -43/8, 
  -1/4, 1/4, -1/8, 1/4, 125/24, -3/4, -13/24, 1/4, -21/2, 3/4, 35/24, 49/24, 
  127/24, -19/24, -53/24, 3/8, -53/8, -57/8, -49/4, -1/8, 875/48, 125/24, 
  461/24, -631/48, -95/6, -7/24, 32/3, 147/8, 4/3, -107/24, -257/48, 1/24, 
  -185/24, -39/8, 19/24, -137/24, 33/8, -175/24, 5/2, -33/8, 161/24, 25/8, 
  5/12, 5/24, 7/6, 7/8, 211/48, 131/12, 131/24, -41/24, 11/24, 53/48, 17/24, 
  23/12, -23/4, -9/8, 23/4, -11/12, -5/2, 19/4, -81/32, 7/12, 1/2, -1/2, 
  -1/2, -11/8, -55/24, -6653/432, -67/6, 11/6, 3101/64, 8491/216, 125/12, 
  25/64, -13517/576, 73/12, 347/64, 161/8, 19/4, 2717/432, 91/9, -21863/576, 
  -46417/576, -275/24, 18, 35/24, -69/4, -16/3, -395/432, 32537/864, 781/216, 
  -119/24, 49/24, -259/216, -15/4, -365/24, -71/4, 5/3, 101/12, 41/24, 
  -17/12, -65/12, 241/216, -13/3, 155/12, -7/4, -7/6, 83/24, -1/4, 5/3, 
  73/18, 54, 18, 28/9, -98, -18, -51/2, 44, 47/3, 277/24, 979/40, -539/16, 
  -11/4, -973/54, -1199/300, 165/4, 659/108, -9499/1200, -199/36, -3/4, 
  5813/240, 45/4, 187/60, -11671/480, 5029/1440, 1/3, -209/36, 827/36, 
  2269/216, -73/18, -107/2, 1/2, 161/24, 641/6, -5, -61/12, -331/6, 17/4, 
  -7/12, -37/2, 5/24, 111/8, -45/8, 1/8, -1/4, -5/2, -21/4, -1/2, 25/4, 35/6, 
  21/4, 4/3, -353/24, -10/3, -19/12, 209/24, 3/4, -1/4, 37/24, 115/12, 21/4, 
  3/4, -79/24, -85/12, -7/12, 2, 1/12, 1/4, -17/24, 45/8, -91/12, 91/24, 
  -45/8, 215/12, -37/12, -127/12, 13/24, -91/24, -45/8, 1/3, 9/2, -9/8, 
  77/24, -1/2, -85/8, 1/2, 89/12, -53/12, 1/2, 29/24, 3/8, 11/4, -1/8, 1/4, 
  1/2, 25/6, -32/3, 6, -1/6, -77/6, -11, -3/4, -14/3, 119/24, -7/12, 11, 
  7/12, 1/2, 1/12, -25/12, -1/4, -41/12, 16/3, -121/24, 3/4, 16/3, -49/12, 
  -7/12, -25/12, 1/12, 4/3, 0, -19/12, -2/3, -2, -2/3, -1/4, 1/4, 3/2, -41/4, 
  -63/4, -4/3, 5/4, 17/2, 439/24, 29/4, 27/8, -623/24, -41/3, 25/8, 99/8, 
  3/4, -7/4, 29/4, 191/6, -5/12, -145/12, -8, -23/6, 433/12, -35/8, -1/12, 
  1/2, -62/3, 55/12, -49/4, -97/6, -11/12, 11/3, 7/4, 1/6, 4/3, -2, -1/4, 
  89/4, -47/6, -53/4, -97/12, 89/8, 563/24, -211/12, -1/6, 33/4, -30, 35/4, 
  -65/6, -235/24, -17/4, 37/3, 25/4, -5/4, 11/6, 229/24, -15/8, -7/6, 
  -109/12, 19/3, -10/3, 25/12, 9/8, -17/12, 11/24, 1/4, -9/4, 7/8, 1/8, -1/4, 
  1, 39/8, 11/8, 1/4, -47/48, 27/4, 209/24, 25/12, -17/8, -157/24, -16/3, 
  73/24, 3, 3/4, -3, -23/6, -3/8, -1205/192, -1109/48, 7/96, -107/96, 
  -251/48, -1, 43/24, -1/6, 2183/192, 61/32, 1/8, 1/24, -1/8, 263/96, -113/6, 
  -161/8, 127/96, -2215/96, -13/6, -287/48, 99/16, -17/12, 5/12, 61/192, 
  287/8, 1/3, 225/16, 701/48, 1/6, -581/192, -575/96, -1/24, -35/24, 47/3, 
  189/16, 71/8, -6, 5/4, 5/6, 295/48, -151/8, 119/24, -43/8, -21/4, 19/6, 
  77/8, -1/16, -11/4, 929/144, 13/8, 19/6, 719/64, -4861/144, -213/64, 
  -25843/576, 69/64, -3/16, -437/216, -47/72, -7681/576, 7783/192, 1195/24, 
  91/18, 133/144, -11/96, -379/72, 271/24, -28871/120, -151/8, -117/8, 
  -3851/108, 1530359/3600, -19/16, 4409/108, -75431/400, -1597/144, -3/8, 
  27853/120, 87/8, -60623/240, -38229/160, 1317959/7200, 7/24, -215/36, 
  168529/720, 2269/216, -1/8, 1/16, -11/8, -21/4, 7/8, -197/96, -233/96, 
  7/48, -19/3, 479/48, 183/16, 15/2, -485/48, -21/8, -1/16, 27/32, 85/12, 
  -17/4, 251/64, 541/192, 59/12, -259/48, 49/3, 7/12, -2, 95/16, -1213/192, 
  -23/3, -1/12, -49/24, 1/8, 53/48, 125/96, 45/8, -41/96, 63/64, -2575/192, 
  -49/12, -1153/48, -29/24, 1/16, -11/96, -27/8, 1625/192, 2279/192, 97/48, 
  -31/48, 65/96, -511/192, 1/12, -7/6, 623/96, -47/4, -23/64, 557/24, 67/48, 
  -2/3, 569/96, -169/6, -4/3, -77/12, 1, -879/64, 29/12, -1/4, -53/16, -7/3, 
  -137/12, 13/4, -7/4, 7/3, -125/16, -3, 3/4, 23/3, 31/8, 313/12, -67/24, 
  25/8, 97/16, -7/12, -67/16, -13/4, -159/8, -2, 1/12, 1/3, 71/24, 4/3, 
  145/8, -55/12, 49/3, 35/4, 31/12, 17/12, -17/12, -875/24, 9/2, -349/12, 
  -57/4, 1, 269/12, 9/4, -25/24, 11/6, -33/2, -6, 8/3, 4/3, -23/12, 55/2, 
  17/2, -1/6, 1/4, -1/4, -1/4, -1/4, 25/16, 83/48, 2071/216, 85/16, 2/3, 
  -4387/192, -203/27, -53/64, -691/576, -17, 5/64, -83/16, -3001/216, 
  -1033/144, 11855/576, 23761/576, -11/3, 1/48, 59/2, 341/36, 1783/144, 
  -18113/864, 37/6, -25/2, -115/18, -5/2, -167/16, 259/24, 269/24, -19/16, 
  875/48, -81/4, -239/24, -271/24, 79/8, 31/12, 45/4, -157/8, 14/3, -167/8, 
  113/6, 61/6, -1, 41/12, 37/6, 0, -1357/216, 515/48, 711/16, 217/16, 764/27, 
  637/24, -95/4, -1831/72, -389/12, 19/48, 2231/72, 8239/360, -59/12, -85/4, 
  -239/3, -13927/600, 85/8, 1306/27, 17099/1200, 5/18, 16241/144, -1529/120, 
  109/48, -3163/40, 1237/160, 26351/1440, -8983/48, 67/18, 1471/36, 4697/216, 
  1357/216, -103/8, -113/3, 173/16, -721/72, 311/8, 461/8, -23/24, -25/2, 
  7/4, 67/24, -65/24, -201/8, -25/24, 175/12, 67/24, -97/24, 1, -19/6, -1/4, 
  331/192, 2189/192, 1367/192, 21/4, 97/8, 107/8, 1303/96, -17/3, -61/6, 
  -209/8, -155/24, 7/8, 131/8, 39/16, 17/8, -5995/768, -7509/256, -47/12, 
  -413/12, -545/12, 93/8, 1097/48, 467/16, -229/12, -63/8, 125/12, 47/24, 
  1555/48, 109/48, -107/6, 215/24, 1/6, -143/48, -77/24, 263/64, 4487/192, 
  -2837/768, -45/8, -49/24, -2917/96, 19/12, -2/3, 9, 421/48, -14789/768, 
  -15545/256, -6505/192, -119/12, -2313/128, 451/48, 6715/256, 11851/256, 
  5909/192, -137/12, -805/24, -9179/768, 5/8, 17/24, -35/2, 65/24, 18241/384, 
  -5837/768, 8207/384, -1631/128, 811/64, 63/8, -943/64, 1/4, 25/12, -59/6, 
  73/8, -1/2, -31/24, -13/8, 1/12, 51/8, 9/2, -1/2, -1, -3, -19/4, 5/4, 
  91/24, 91/12, 0, -13/6, -7/6, 7/4, 9/8, 4631/432, 3/2, 49/24, -6943/192, 
  -463/12, -3/4, -657/64, -4483/576, -115/54, 13/64, -6, -1619/432, 107/216, 
  14615/576, 117203/1728, 5/27, 43/4, -5/8, 155/24, -97/144, -23357/864, 
  119/54, 541/216, -53/24, -41/36, 55/4, 115/108, 947/72, 9, -64/3, 
  -1583/216, -523/36, 1207/216, -37/27, 3/4, -235/8, 215/72, -15/2, 2063/54, 
  217/12, -1679/216, 35/2, -19/3, -158/9, 1/4, 131/18, -5269/180, -49/4, 
  -2311/108, 1579/600, 49/4, 5417/216, 15851/600, -805/72, -137/12, -701/72, 
  17657/480, 6, 1633/54, -118141/1440, -4059/160, -6259/216, 8269/288, 
  797/72, 1/2, -5003/96, -191/72, 14143/120, 44963/288, -69367/900, -7/24, 
  580/27, -138017/1440, -2269/216, 179/12, 98159/480, -2209/48, -171/32, 
  -1559/36, -458813/1200, 2169/32, 803/24, 23753/120, -31/4, -157/96, 
  -72107/160, 2147/96, 87577/1440, 1528507/4800, -4809/80, 681/32, 12473/120, 
  -4577/192, -149/144, -8125/48, 6107/48, 2523/32, 4549/48, 901/96, 1/24, 
  3869/24, 1957/24, -16633/96, -2151/32, -1235/6, 4743/16, 73/12, 1745/16, 0, 
  -1/2, 73/12, -13/4, 9, 11/6, -39/4, 23/6, -21/2, -563/48, 505/24, -149/24, 
  383/24, -111/8, -87/16, 3, -97/4, -29/12, -27/4, -163/24, 541/48, -107/12, 
  131/48, -1457/48, 517/48, -6, 79/4, 43/6, 479/16, 1525/48, 135/16, 14/3, 
  -25/12, -1207/48, -7/6, -127/24, -289/24, -22, 15/2, 237/8, -2/3, -29/24, 
  -23/2, -55/6, 22, 509/24, 135/8, 583/48, 397/16, -1765/24, -409/12, -59/12, 
  -1225/48, 139/8, 353/24, 35/2, -277/24, 25/3, -7/8, -128/3, -51/4, -59/24, 
  671/24, -61/8, -61/8, 61/8, -13/16, 13/8, -1477/288, -21/2, 133/16, 
  1721/64, 24593/864, 45/4, -2189/192, -45137/576, -11627/216, -305/192, 
  52/9, -47/32, 49/16, 3257/864, 2167/144, -23285/576, -90241/1728, 
  -2717/144, 10759/144, 18445/144, -583/96, -293/36, -4123/288, 4031/96, 
  523/32, -60775/864, 457/72, -949/96, -13/8, -783/64, -353/16, 21/2, 295/24, 
  -1765/96, 1175/48, -349/12, 6215/192, 263/12, 6047/576, 22589/576, -161/12, 
  -1199/576, 5755/576, -169/32, -1091/72, -57/16, -193/288, 701/288, 
  2129/192, 8573/192, -45/4, 717/64, 3643/192, -149/6, -9397/288, -167/6, 
  -29, 6455/288, -4249/192, 1, -3299/192, 867/32, 95/18, -5, 3, -173/18, 
  -5/3, -3, 59/72, 20/3, 253/72, -2141/72, -18773/720, -861/16, -33/4, 
  17945/216, -326191/10800, 165/4, -23941/432, 163343/5400, -19/4, 
  -16943/144, -8821/1080, 499/24, 9899/120, 41629/4320, -833969/21600, 
  9271/48, -77/9, -90427/1080, -649/27, -101/18, 724/27, -59/12, -21/2, 
  159/8, -2141/54, -119/12, -751/36, 133/12, 19/8, -1181/54, -107/24, 45/4, 
  383/24, -31/4, 373/24, 51/8, -1, -347/24, -3, 3, -3/2, 3/2, 2, -44/3, 
  35/12, -2, 3/4, 9/4, -3/4, -2, -3/2, 1/2, 3/2, -1/2, -1, 597/2, 2, -595/2, 
  1/4, -149/4, 3599/4, -3599/2, -1/2, -1345/4, 1345/4, 0, 0, -9/2, 9/2, -9/2, 
  35/12, -35/12, 96, 108, -167, 167, 4107/64, 4179/64, 3, 5, -1/2, -1, 2, -2, 
  0, -1/4, 511/8, -7/4, 0, 12, -4, -8, 2, 4, -10, 3, -16, 4, -4/3, -1/3, 
  -1/3, -1/3, 176/3, -235/8, -251/12, 179/8, 36, -24, -8, -13, 1, 1/6, -51/8, 
  1, 1/6, 1, 3, -5, -21/2, -8, 3/2, 9/2, -17/2, 3/2, 9/2, 33907/24, 4, 
  -34003/24, -2159/8, 33907/48, 2, -34051/48, -2151/8, -4161/16, 10, 2, 
  -521/2, 207/4, 3/2, -9/4, -29/16, 45/4, -41/2, 209/4, 95/12, -725/12, 
  -177/4, -1875/4, 893/16, 1839/16, 5019/8, 7/2, 7, 4, -7/12, -7, -5, -315/8, 
  123, 593/12, 79/2, -303/4, 11/8, -177/8, -23/12, 31/8, -9/2, 701/6, 
  -1217/6, 219, 37/3, -3/2, -327/8, 477/8, -21, 27/2, -81/4, -9/2, 315/8, 
  -339/4, -141/2, -285/4, 4, -751/8, -15/2, 141/2, 209/4, 33/4, 3/2, -15, 
  -9/2, -3/4, 3/4, -1/4, 1/4, -1/2, 1, 2, -2, -2503/4, -56, -1/2, -235/6, 
  2441/4, 17/6, -1, 2391/4, 1953/4, -3649/6, -431, 3/4, -3/4, 1/4, 1/2, 1/2, 
  -7/4, 30025/12, -134, -7757/6, 596/3, 3/4, 4479/4, -10267/12, -10009/4, 
  1470, 4814/3, -4919/6, -1470, -1/4, 1/2, 237/8, 2131/16, 4461/64, -8589/64, 
  -5025/32, 20143/192, -1755/16, -7593/64, 1755/16, 801/16, 3143/16, 
  421187/1800, 56/3, 290119/135, 1482319/648, -2, 5/3, -1/2, -1, -5/3, -3/2, 
  137/48, 525/4, -2911/8, -336, -421187/1800, 819/4, 796759/1440, 2093/5, 
  -510601/7200, -1680037/1440, -4829/16, 2119397/2400, -7428467/2160, 
  -23767/48, 36329/15, 16333/16, 1009/8, -4571543/1200, -1626869/1800, 
  1676423/1200, -6369067/2880, -154913/160, 22756351/14400, 98691/320, 
  -13134023/2880, 4583/40, 10433677/1728, 55115539/8640, 7146869/2592, 
  -101/4, -1047/8, 2911/16, 1181/18, 892337/3600, -157/4, -1662109/720, 
  -80249/80, 500489/450, 230439/640, 660487/720, 2693/8, -12181/20, 
  25155757/3456, 20393/48, 3/2, -65/12, 2, -1/3, 1/2, -1/4, 163/24, 1033/48, 
  3/2, -1, -4, 2/3, -2, 4, 1/4, 1/4, -10, 301/6, -17/6, 1, -217/12, -7/3, 
  -5/4, 609/32, 771/32, 993/64, -27, -1715/64, 801/32, 1445/64, -5797/64, 
  1445/64, 5541/64, 5/4, 519/64, 1621/192, -5/2, -1445/64, 1829/64, -9813/64, 
  -3797/192, 251/4, 0, -20, 25, 0, 2, -36, 14, -13, -9, 1/2, 1/2, 179/18, 
  -305/6, 42, -2, 37/2, -1/3, -73/2, -11, -1/2, -147/8, 3973/48, -1955/24, 
  -1777/32, -3061/32, 1/6, 0, 11/6, 1/6, -1/6, -25/6, 13/6, -19/12, 7/12, 
  -1/6, -33/2, 511/9, 233/24, -7/8, -75/2, 7/8, 35/8, -1/4, -35/8, -1/2, 
  191/8, -117/4, -1103/16, 225/8, -25/2, 225/4, -15/8, -101/2, 277/16, 35/4, 
  195/4, 133/24, -49/24, 18449/96, -524677/480, 61/16, 5093/192, 37369/64, 
  -83/8, -2839/96, 613/96, 5919/32, 787/48, -3061/96, 1/2, -21/2, -135/64, 
  -14, -5307/64, -1293/16, 2/3, 67/6, 29/2, -3/2, 103/64, 1133/16, -13/2, -6, 
  -77/12, -3395/64, -10451/240, 1033/24, 154551/320, -375/16, 1039/24, 
  -68171/192, -611/8, -265/6, -7439/96, -15995/192, 3421/48, 4333/96, 
  -3061/48, -4, 338/3, -115, -313/16, -13/6, -2, 65/6, 10, -1693/48, -59/2, 
  257/96, 28571/144, 19/2, -48205/288, -46/3, -161/96, -5821/144, -3095/96, 
  8057/288, 1787/96, -1/12, 775/144, -133/144, 67/24, -1/12, 119/72, -257/72, 
  -67/12, -35/24, 3/4, -111/16, -193/8, -11/4, 347/8, -69, -77, 1/8, -11/8, 
  -9/4, 485/24, -283/12, 125/6, 5/4, -153/4, 17/3, 5/8, -1/3, 73/64, 73/64, 
  -73/64, -73/64, -2/3, -97/32, 89/32, -151/4, -739/6, -22733/72, 1525/24, 
  7891/36, -151/8, -121585/384, 759/16, -739/12, -295819/768, -22733/144, 
  -47/3, 7891/72, 54779/768, -139501/384, -295819/768, 54779/768, 25993/384, 
  2275/24, -18515/192, -44485/384, -1715/9, -775/24, 7/16, 8207/64, 
  59311/288, -519/8, 69283/144, 33937/48, -152567/384, -666209/576, 
  -7657/384, -2729/48, -3061/12, -16211/192, 4339/48, 11279/24, -163/6, 
  51587/384, 22637/192, -43327/96, -166/3, -136427/576, 77257/192, -2987/12, 
  -1179379/1152, -91999/192, -3, 53/6, -10/3, -19/3, -1/2, 15/4, -73/6, 
  -557/96, 15/4, -2251/4, -6097/8, -447/4, 490, 25799/48, 3127/96, 93/2, 
  -44279/96, -2215/4, -4961/32, -26725/96, 93/32, 28423/96, 5297/12, 
  19199/96, 4195/96, -56603/96, -24047/96, 39491/96, -985/24, -217031/120, 
  -578323/200, -208899/400, 598819/120, 1500231/400, -51263/20, -2383/4, 
  100497/40, -195431/120, 22733/18, -273418/75, -6097/12, -624251/120, 
  557069/120, 513699/100, -72307/30, -162271/120, 1493767/600, -385421/120, 
  280721/120, 3/4, 47/16, 425/8, 139/8, 23/16, 641/16, -423/8, -93/8, -48, 
  689/24, -17/6, -483/32, -527/8, 407/48, -37/8, -57/8, 11/12, 391/32, 11/8, 
  -1/12, -37/4, -113/2, 109/8, 723/16, 1529/16, -875/48, 169/24, -83/8, 
  -487/16, -125/24, -19/2, -24, 247/48, -27/8, -3/2, 1/16, 5/2, -665/96, 
  11/8, 11/16, 437/216, 749/72, -109/18, -2011/144, 379/72, -271/12, 3689/54, 
  -5647/108, -391/9, -1/4, 59453/120, -1218059/3600, -5/12, -160969/360, 
  -2269/108, 28871/60, 151/4, 29, 17/4, 29/12, 45/8, -5/6, -919/144, -31/8, 
  83/48, 77/96, -1/8, -17/4, -65/4, 71/8, 164/9, -149/32, -22/3, 83/6, -5/6, 
  -43/6, -105/16, 7/2, -93/8, 65/4, 9/2, 149/4, 181/4, 269/6, -187/2, 
  -565/12, 107/8, 203/24, -9, -139/3, -209/2, 79/12, -1277/48, -569/24, 
  659/24, 421/24, 2, -307/16, -1077/8, -371/48, -883/8, 353/6, -47/4, 
  4121/32, -263/24, 3, -309/16, 129, -29/4, 237/16, -1/8, -91/8, 51/2, 1, 
  -337/24, -6829/24, -1801/8, -87/8, 1229/12, 223/2, 23/8, 5/4, -71/4, 
  1779/8, 1845/4, -2479/24, -21/8, 289/36, -16241/72, 1/3, 613/24, 7217/24, 
  1319/8, 3887/24, 1279/12, -253, -1841/8, -1659/4, -2869/24, 16247/72, 
  -1031/6, -135, 117, 5345/24, 97/4, 1/8, 7415/9, 1403/2, 605/4, -3065/36, 
  -11309/12, -1169/2, 1709/12, 1313/4, -89/4, -1/2, -1453/4, -213/8, -2493/8, 
  1001/4, 225/4, 9/4, -969/2, 139/2, -7/3, -14833/18, -1161/4, -69/4, 
  7199/12, 1591/4, -397/4, 2919/8, -759/2, -1549/4, 11347/24, -1645/4, -133, 
  -41/4, 3553/8, -3/4, 43/12, -43/12, -75/8, -73/6, 171/8, 575/8, -435/8, 
  -629/24, 479/8, -187/12, 27217/384, 2687/128, 10139/96, -11413/384, 
  -925/48, -2701/192, -9101/128, -9761/128, 5165/192, 10, 25, -313/12, -67/2, 
  81/2, -4021/64, -5731/128, 757/48, 9397/192, -57/4, -75/2, 175/4, -7, 1/8, 
  -145/8, 4159/72, -23, 2035/72, -4159/72, 329/4, -365/36, -1433/24, 245/12, 
  -49/18, -6, -1039/144, 299/36, -5717/144, -875/36, 47/12, 1843/72, -11/36, 
  217/8, -2249/72, 3325/72, -445/3, 166/3, 521/4, 73/8, -1385/72, 2837/72, 
  -829/36, 173/3, -305/18, -8057/96, -149/144, 287/12, -1015/72, -93121/120, 
  -14161/48, -893/8, 2156/27, 301166/225, 14161/48, -3518/27, -991913/1800, 
  4583/72, -205867/1440, 919739/480, 4213/32, -4985237/7200, -45299/25, 
  274863/800, 30019/120, -2997511/5760, -6729577/28800, -607703/4320, 
  38777/45, 1531/48, -5971/32, -1665469/1440, 3869/96, 21539/60, 
  -3663389/3456, -279751/480, 4356299/960, 229791/640, 396, -37969/32, 
  -38431/96, 1587545/2592, 5019/16, 3, 119/4, 67/2, -635/16, -483/8, -73/2, 
  257/4, 227/8, -1271/48, -9/16, -945/16, -67/2, 595/16, 823/16, -93/2, 
  -11/4, 469/16, 287/24, 5/16, -261/16, -91/8, 485/16, 91/8, -83/6, 45/2, 
  91/8, -611/32, -99/16, -195/8, 195/8, 195/8, 7/4, 343/48, 61/96, 821/24, 
  -5855/288, -2129/96, 1/4, -50, -18, -473/18, 186, 36, 4489/72, -86, 
  -817/24, 1813/36, -1/2, -1208/9, 37, 187/4, 149/8, 1/8, 0, 5/8, -3/8, 
  -17/24, -1/8, -77/12, -133/24, -4/9, 169/24, 1/12, 347/48, -241/24, 
  -523/72, -1049/72, 26, 41/16, -23/8, -58/9, -5/3, 1/4, 0, 23/4, -1219/72, 
  -16, -1/8, 143/27, -94/9, -82/9, 527/24, 94/9, 19/48, -1189/12, -61/32, 
  -845/8, 13207/54, -52115/432, -439/18, -16013/48, 10819/120, 140561/3600, 
  26861/48, -10963/720, -4099/54, 187/32, 16097/384, 1219/128, -931/64, 
  265/16, -1033/48, 83/128, -259/8, 10081/128, 205/4, -3207/128, -97781/1152, 
  -6101/128, -7225/192, 2003/72, -617/64, 4579/128, 20845/384, 28999/576, 
  -403/24, -21797/384, -4393/192, -3339/128, 1157/64, -6921/128, -2951/128, 
  83387/1152, 1679/192, 18787/768, -2051/72, 6797/384, 857/128, -2195/256, 
  -3713/384, 1025/32, -43/12, 2113/96, -237/8, 531/16, 35/3, -485/12, 263/24, 
  -2, 1879/96, -11/3, -89/24, 7/6, -143/32, 275/32, -359/48, 1/96, -383/48, 
  -403/48, 1453/48, -119/48, 7/8, 5/2, 3017/72, 167/4, -15/8, -3065/108, 
  -2093/36, 179/18, 493/72, -391/36, 1/3, -1907/96, -8521/72, -145/288, 
  13847/96, -417/16, 625/96, -4987/288, 575/12, -1361/96, 133/12, -1577/54, 
  2005/108, 509/72, 49/4, -20951/40, 1416059/3600, 503/12, 158179/360, 
  -2321/108, -9947/20, 1545359/1800, -78231/200, 7637/15, -134327/240, 
  -382/9, -91/3, -757/24, 79/4, -79/4, -5, -237/16, -691/48, -5, 983/48, 
  2401/96, -635/96, -20, 107/24, -9/4, 457/48, 1327/96, -809/32, -981/32, 
  91/24, -1555/96, -1211/96, 29/8, -5/4, 9/32, 1/8, 11/2, -1129/96, -1, -1/8, 
  116/27, -425/36, -82/9, 38/3, 379/36, 53/48, -1183/12, -1/32, 263/8, 
  108959/240, -1339/24, -4201/96, -1615/18, -4496651/7200, 913/96, 1829/24, 
  61713/200, -979/48, 21/8, -617551/960, -9, -25511/240, 2025577/4800, 
  16833/160, -19/12, 445067/2880, 6083/48, 2293/72, -51797/240, 5461/24, 
  839/16, 2415733/7200, -633/8, -2579/30, 359987/960, -3775/96, 
  -1530007/4800, -349327/2880, -1333/8, 11141/96, 14069/96, 12563/96, 
  -1811/16, -19/4, -197/48, 2827/192, -189/16, 13/8, -1441/32, -64841/960, 
  -219/32, 160159/480, -295/24, 109/6, 1745/96, 909/64, -575/96, -14875/64, 
  -245/24, -1013/48, -1115/96, 169/24, 193/24, 131/8, 2395/96, 11695/192, 
  -1167/64, 159/64, 4247/48, -3377/48, -5519/64, -507/16, 2807/48, 313/12, 
  -8221/192, -4885/192, 143/48, 3061/48, 77/16, 9/2, 2365/32, 323/8, -119/32, 
  1775/96, -3721/32, 2071/192, 149/8, 5489/192, -305/16, -2755/72, -1763/24, 
  2689/192, 39983/192, 2519/288, 73/2, 7603/144, -53419/576, -193/8, -341/32, 
  -4445/192, -61/24, 1225/48, 93475/576, -217/48, 13085/288, 5849/288, 
  -1465/16, -12143/576, -1057/48, -279/16, -1321/32, -1337/288, -41/96, 
  641/72, 1337/72, -2407/27, 9463/216, 16043/144, 156151/240, -701209/1440, 
  -8975/48, -538, 41/72, 28871/60, 151/4, 235/8, 2, 287/9, -37/12, -3899/72, 
  -5/6, 188/9, 131/48, -13/9, -115/3, 2387/72, 153/4, -329/24, -1/12, -112/3, 
  -197/4, 2075/18, -60, -3/8, -5/8, 8113/24, -3791/24, 9845/24, -55/64, 
  -713/24, -795/64, -2881/192, -3, -1573/96, -41/192, 207/8, 1207/48, -2, 
  1015/256, 14347/384, 39557/768, 907/24, 4747/96, -475/48, 1285/256, 
  -6827/256, -11573/192, -89/12, 97/4, 20219/256, 31027/768, -3/2, 25663/384, 
  -9323/128, -69115/768, 545/384, 6207/128, -4747/64, -4895/64, 4927/64, 
  5273/144, -15121/144, -11281/72, -1861/36, -1405/12, 5819/48, 3421/36, 
  1767/16, -289/8, -57/2, -5663/72, 2339/72, 407/6, -367/36, -992/9, 
  3499/144, 11509/144, -97/6, 251/36, -2695/72, -927/64, 7091/384, 38563/576, 
  -24, 887/48, 314141/1152, 7085/72, 5161/96, -1063/48, -160/3, 75295/2304, 
  -617423/6912, 19/36, -34975/128, -60671/144, 179/3, -1961/128, 1541/144, 
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  9559019/11520, 419759/11520, 2813/100, -195301/1080, 23873/576, 10787/576, 
  11463/256, -233/2, -2025/32, 875/6, -152125/2304, -4021/192, -2615/144, 
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  -582961/1200, 67253/300, -20453/32, -100823/360, 1877947/2400, 255841/720, 
  -2089/72, 25601/60, 1105/72, 59/2, 3107/54, -5653211/7200, 3383/36, 
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  788681/1440, 53913/160, -1772459/3600, -289/36, 943/72, -340253/720, 
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  -47609/576, -1003/1728, 3, 451/64, -58369/576, -932021/1728, -2791/48, 
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  6391/18, -1, 653/12, 108287/1728, -4309/96, -8105/288, -60775/288, -1198/9, 
  12955/144, 633/8, -2087/24, 33613/144, 68605/288, -49927/288, -56647/288, 
  2663/72, 1747/72, -229/6, -161/24, -1445/96, -425/36, 132419/180, 
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  -1116107/3600, -3187/144, -484211/720, 392257/360, 313/4, 292229/450, 
  6490651/7200, 504293/1800, 57949/720, -24221/180, -919129/800, 20522/135, 
  -243383/240, 30713/72, -1105/16, 2373629/1200, -488351/720, -168967/240, 
  227087/720, -83713/360, -9485729/7200, 709067/720, 1713/5, 517/16, 8307/16, 
  -571297/720, -4823/8, 593/144, -690923/720, 44551/432, -1289/36, 709/108, 
  29568463/14400, -78715/432, 21497/1728, -47531009/43200, 44743/1728, 
  7469/32, 165671/180, 2341/72, -20375387/14400, -13274897/14400, 
  1627213/1440, -72067/1440, 44419/720, 21703613/21600, -167897/2160, 13/12, 
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  407/8, 51/4, 65, -18, 1989/8, -7995/8, -7589/64, -45525/64, -1/4, 
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  -2131/32, -13345/64, 11731/64, -29055/32, 5/4, -69/16, 295/8, -45/16, 
  351/4, -7677/16, -2481/16, -6231/16, 39497/48, -25505/24, 39767/24, 
  41727/5, -367/2, 393, 3273593/200, -3494593/400, -392753/40, 73/4, 99/8, 
  47/4, -947/4, 1/2, -11/4, -365/16, -183/16, -6431/64, 15863/48, 6585/64, 
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  -102535531/14400, 359137/960, -2670641/600, 55669001/14400, 2796179/1200, 
  40633/160, 197851/64, 1356683/640, -1687/32, 3117679/576, -36241063/8640, 
  -12864527/5760, -1541441/960, 3176143/864, 2609/96, 43193/192, 3457/24, 
  -4129/48, -2867/12, 5293/192, -6553/192, -13085/192, -491/16, -1/192, 
  -91987/48, 14312933/2880, 9261/320, 168391/80, -9626431/2880, -266267/200, 
  48327/32, -1092823/480, -420409/240, -12873/32, -17039483/2880, 
  13720499/4320, 6554851/2880, 1052747/320, -3036715/864, -4461/128, 
  5319/128, 317/8, 795/64, 553/128, 13/6, 7593/128, -291/64, -89/32, -267/16, 
  11437/8, 3139/24, -1559/4, -47425/24, 271/4, 5431/8, -22939/24, 6499/12, 
  1100/3, -845/2, 11243/12, 12611/24, -5153/6, -19603/24, 267/8, -12433/96, 
  -1613/3, 152, 184, 5631/8, 29449/96, 647915/768, 649141/1152, -746449/768, 
  -500497/1152, -42543/256, -999/4, 39569/768, 323377/384, 114, -2/3, 
  -55643/192, -8749/64, 46237/192, 1/2, 1433/48, 178181/120, -2931/16, 
  -773/32, -3010333/1200, 536287/480, 5036657/2400, 11159/12, 3735/32, 
  210227/480, 26589/16, -428151/640, 596213/400, -580073/640, 2354467/1920, 
  -8283617/9600, -104519/320, 168481/384, -42277/384, -41549/128, 3359/192, 
  395/128, -6303/64, 41091/64, -18453/64, -32141/96, -27179/384, -76113/256, 
  -416429/576, 85485/256, 44669/576, -22587/256, 55373/64, 117245/768, 
  -150691/384, -14131/128, 57647/80, -2219651/600, 115549/80, -672087/320, 
  739501/384, 7127/128, 1755/32, 1789/64, -65/4, 1341/32, 83345/72, 2863/8, 
  -2275/24, -388483/240, -28771/48, 160797/200, -46039/120, -4399/12, 
  27303/50, -7071/40, 3495/8, 711/4, -2083/12, -21949/24, -5179/6, -14603/15, 
  -9499/48, -10519/36, 5798711/3600, 7841/144, -803197/1200, 725947/720, 
  13135/48, -40909/40, -4777/72, -453/16, -14923/144, -9005/48, 1123/6, 
  -2993/48, -4943/96, -2335/16, 8987/144, 1015/32, 33455/96, 555/4, 8899/48, 
  5621/72, -29189/144, -9889/72, 3607/32, 2096/9, -295/48, -91823/288, 
  -367/48, 184/3, -22019/192, -305523/320, -13641/64, 22359/160, 688019/960, 
  -25751/192, 110471/192, -58477/192, -2419/12, -9667/96, -348533/480, 
  -12259/60, 112877/192, 10807/96, -133593/40, -13351357/2400, -39253/48, 
  11491643/1200, 2491387/2400, -4478429/800, 2807651/480, 2003071/480, 
  -723101/400, 153593/480, 99893/40, 117215/96, 79705/96, -239773/320, 
  -4961/8, 413393/384, 53473/288, 287, -1028303/1152, 4799/18, 26575/144, 
  3887/12, 14123/192, -2098537/2304, -287615/768, 80533/120, -241357/200, 
  208899/800, 719867/480, -68177/160, -2527/8, -227341/240, 17/4, 5/96, 
  -21/2, -19241/8, -13691/192, -348649/576, 5689733/1440, -208879/192, 
  -5743553/7200, 114695/192, 636905/1152, -557969/600, 247847/1920, 11127/64, 
  -135781/960, 6595/16, -13693/192, 6301/64, -5627/32, -868555/384, 37047/64, 
  47725/24, -51763/96, 8650669/1920, 93189/80, 22398281/9600, 120437/128, 
  -12844543/1440, -1017573/640, -697819/320, -3164121/3200, 310721/640, 
  257841/80, -2910259/960, 301513/128, 279029677/28800, -25912859/3840, 
  61219265/6912, -3/2, 0, 3/2, 3/2, 3/2, -3/4, -1, 3/4, 1/2, -3/2, 1/2, 3/2, 
  3/2, -1, -3/2, -3/2, -3, -3/2, 3/2, 3, 3/4, -3/4, -2, -3/2, -1/2, 3/2, 
  -3/2, -3/2, -1, -1, 1, 1, 2, 1, -1, -1, 3/4, -1/2, 3/2, -1/2, -1/2, 1/2, 
  -1/4, -1/4, -1/4, 3/8, 1/2, 1/2, -5/4, -1/4, 1/4, -1/2, 0, -3/4, 3/4, 3/4, 
  -1/2, 1/2, 5/4, 1/4, 3/4, -1/8, -5/4, -1, 1/2, -1/2, -1, 1, 1, 1/2, 1/2, 
  -1/2, 5/4, -1/2, 1, -9/4, 3/2, 1/2, -1, -1, -1/2, 1, -1/4, -1/4, -1/4, 7/4, 
  3/4, 1/2, -3/4, 1/2, 1/2, 1/2, -9/4, -5/4, -1/4, -1/4, 1/2, -1, -1/4, -5/2, 
  0, 1/4, -1, 0, 7/2, 1/2, 2, 1/4, -1/4, -2, 1/4, 3/8, 3/4, -9/8, -11/8, 
  -3/4, 7/8, 1, -3/4, -3/2, -7/8, 3, 21/8, -1, 3/4, 9/8, -15/8, -1/4, 1, 3/8, 
  -3/8, -1/2, -2, -3/8, 3/8, 1, 1/4, 5/12, -1/8, 0, -1/8, -3/8, -11/12, 3/4, 
  1/4, -1/8, 1/2, 1/8, -1/4, -1/6, -2/3, 0, 31/24, -1/8, -1, -5/8, 2/3, 1/8, 
  1/2, 3/8, 1/2, 3/2, -1, -1, -5/4, 3/8, 17/12, -7/8, -55/24, -5/4, 17/8, 
  61/24, -17/12, 17/24, 9/8, -17/24, -1/8, 7/8, -49/24, -1/8, -13/24, -5/12, 
  1/2, 5/6, 17/24, -7/24, 7/6, 1/8, 5/12, -1/6, -1/8, -1/8, -1/8, 1/8, 3/8, 
  -1/16, -1/4, 1/16, 1/4, 1/4, -1/4, -7/8, 5/8, -1/8, 1/8, 1/16, -1/16, 
  -3/16, 1/16, 13/48, 35/48, 13/12, 1/3, 49/48, -1/8, -19/48, -23/24, -3/16, 
  1/3, 11/24, -3/16, -11/24, -5/12, -19/24, -31/24, 7/12, 7/48, -5/16, 7/48, 
  3/16, 1/2, -1/48, -1/48, -1/16, -13/48, -13/48, -2/3, -23/16, -11/12, 7/12, 
  29/24, 5/24, 3/16, -1/6, -1/2, 23/24, 79/48, -13/48, -7/48, 23/48, -1/3, 
  1/48, 1/3, 11/24, 1/16, -3/16, -5/48, -5/24, -1/6, 1/24, -5/16, -1/6, -1/8, 
  -1, -13/24, 1/12, 35/24, -13/12, -19/24, 5/6, 1/4, 4/3, 11/12, 17/12, 
  17/12, -7/24, 1/12, -1/2, -37/24, -11/8, 5/24, -1/4, 7/12, 11/24, 1/24, 
  1/6, 9/8, -11/8, 55/24, 3/4, -23/12, 5/12, 11/6, 3/4, -1, -71/24, 3/4, -2, 
  1/3, 7/24, 0, 4/3, 25/24, 1/8, 1/24, -5/24, -5/12, -2/3, -1/24, -25/24, 
  -2/3, 1/4, -1/2, -1, 5/12, 5/3, -1/6, 13/24, -21/8, -1/8, 0, 5/3, 11/12, 
  -1/4, -2, 13/12, -1/6, 43/12, 1/8, -2/3, -37/24, 4/3, -31/24, -53/24, -1/4, 
  7/12, 5/8, 1/24, -1/4, 1/3, 7/4, -1/6, -31/12, 35/8, 11/4, 3/4, -5/4, -1, 
  13/24, -43/8, -35/24, -17/12, 2/3, 23/8, -1/6, 1/6, -5/8, 1/8, -13/3, -1/3, 
  -1/24, 7/8, -5/6, -1/4, -1/2, 0, 5/6, -1/12, 1/3, -21/16, -1/16, -1/16, 
  25/48, 11/24, 1/16, -1/6, 1/3, 1/8, 1/3, 11/16, 37/48, -19/48, 23/48, 1/8, 
  -5/16, -1/8, -11/16, -1/12, -5/16, -13/16, -7/48, -1/48, 1/48, 1/24, 7/8, 
  1/4, 7/8, -31/24, 35/16, 11/8, -3/8, -13/16, -3/16, -9/8, -25/24, -7/48, 
  -7/3, 5/24, 2/3, 25/48, 19/16, 43/48, -7/8, -3/8, 1/16, -13/6, 7/8, 1/4, 
  33/16, -5/24, -3/4, -1/2, 2, 1/2, -2, 0, -1/2, 0, -3/2, -3/2, -1/2, -11/8, 
  0, -1/8, 1/2, 3/2, -11/8, 0, -1/8, 2, -2, 0, 0, -5/3, 2, 3/2, -3/2, 7/24, 
  -13/12, 7/24, 7/24, 11/24, -5/8, -11/24, -5/8, -5/8, -7/12, -5/8, -5/8, 
  -7/12, 1/2, -2, 1/2, 7/6, 1/2, 3/2, -25/12, -3/2, 7/4, 1/2, 7/6, 1, -1/3, 
  -3/4, -7/24, 1/12, 1/12, 1/2, -31/24, -3/4, 29/24, -29/12, -29/12, 7/4, 
  -1/3, -3/4, -55/24, 1/12, 1/12, -3/2, -31/24, -3/4, 29/24, -2, -1/2, 2, -4, 
  -3/2, -3, 1/4, 1/4, 11/4, 1/4, -5/4, -1/4, 3/2, 3, -1/4, -1/4, -11/4, 1/2, 
  2, 1, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, -6, 5, 6, 
  -11/2, -1, -3/2, 3/2, 3/2, -3/2, 3/4, 1/3, -7/3, -9/2, -101/12, -9/2, 9/2, 
  7/2, -1/4, 5/4, 1/4, 4, 0, 3/4, -1/8, -3/4, 9/8, -1, 1/2, -1/2, 1/2, -1, 
  -3/4, 3/2, 3/4, 3/4, -3/2, -1/8, 1/2, -1/4, -2, 9/4, -1, 1, 3/4, 2, 1/4, 
  1/2, 1/2, 1, 1/2, 0, 0, 3/4, -1, 1, -41/6, 1/2, -1/2, -1, -3/4, -1, -3/2, 
  -1, 1/2, -1/2, 5/12, -5/12, -1/8, -5/24, 5/12, -5/12, -5/12, -7/24, 7/24, 
  -3/2, 3, -3/2, -5/8, 5/12, 5/4, -2, -5/8, 5/4, 5/8, -3/2, 3, -3/2, 3, -3, 
  -5/8, 5/4, 5/8, -3/2, -1/4, -3/2, -1, 5/4, 3/2, 3/2, 3, 7/6, -31/6, -3, 2, 
  -3/4, -1/4, 3/4, -7/8, -1/8, 3/2, 11/12, -7/6, -3/2, -1/2, 1, 1, -1, 1/2, 
  -1/2, -1/4, 1/2, -1/2, 1/4, 3/2, -1, -1, 1, 1/2, -13/8, -1/3, 1/3, 5/4, 
  25/12, -25/24, 3/2, 3/2, -1, -3/2, -3/2, -37/12, 1/3, 3/2, 37/12, -3/4, -2, 
  -3/4, -2, 9/4, -3/2, 5/4, 25/12, -1/2, -25/24, 1, 149/4, 37, -1/4, -7/4, 
  -149/4, -37, 13/4, 1/4, -1, -1/4, 1/4, 1/4, -55/4, 65/16, 1, -3/4, -135/8, 
  -1019/24, 45/8, 413/8, -11/4, 101/8, 73/16, -215/32, 69/16, -149/8, 
  -341/32, -75/16, -71/16, 5309/128, 4701/128, 73/12, 71/16, -215/32, 1/4, 
  -313/32, -3/4, -75/16, -1/8, -71/16, 4321/128, -253/32, 265/48, -3717/128, 
  -3/4, 3/4, -1/8, 3/2, 1, -5/2, -1, 1, -3, -1, 5/2, 3/2, 3/2, -3/2, -3/2, 
  -3/4, -1, 3/4, 1, -3/4, 1, 1, 3/2, -1, 3/2, 1/2, -2, -3, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, -7/2, 1/2, -65/8, 11, 1/2, -1, -3/2, 1/2, 5/4, -1, -1, -3/2, 3/2, 
  71/12, -1/2, -5/12, 95/12, 5/12, 31/12, -13/12, -43/12, -7/3, -1/2, 1, 3/2, 
  -1/2, -3/4, 1/2, 1/2, -1/2, -3/2, 3, -3/2, 3, -3, -3/2, -3, 2, 3, 11/4, 
  -5/4, -1/4, -17/4, 2, -3/2, -1/2, 3, 1/2, -13/2, -5, -5/12, 0, -31/24, 5/6, 
  17/24, -3/2, 29/12, 3/2, -4/3, -7/12, 2, 2, -2, 1/2, -1/2, 2/3, 4/3, -4/3, 
  7/12, -11/6, -1/3, 3, -4, 43/24, 21/8, 5, 17/8, -1/2, -1/3, -145/24, 
  -71/24, 71/12, -11/12, -16/3, 43/24, 21/8, 29/6, 17/8, 1, 15/4, 2/3, 
  -145/24, -151/24, 53/12, 183/16, -31/16, 75/8, -247/16, -199/16, 1/4, 
  -73/8, -713/16, -75/2, -183/16, -1155/64, -1403/64, 553/16, 1475/64, 
  -135/8, -187/4, -39/2, 61/8, 163/16, -81/8, 683/8, 2483/24, 3/2, -265/4, 
  -49/2, -855/64, 1049/64, 113/4, 4845/64, -47/2, 1011/16, -317/16, 5137/32, 
  2993/32, 781/24, 1427/48, 367/16, -12333/64, -23157/128, -1849/48, 
  12385/128, 135/8, 821/16, -473/8, 1/8, -191, -1561/16, -137/2, -75, 155/16, 
  415/8, 327/16, 13595/64, 13843/64, -345/16, -12913/64, 9/8, 29/8, 9/4, 1/4, 
  -1/4, -1, -5/4, 3/2, -1, -3/2, 3/2, -9/4, 11/8, -2, 37/8, 1/4, 1, 3, 3/2, 
  13/4, 141/16, -17/8, -13/4, -175/16, 17/8, 17/8, 0, 0, 0, -7/2, -9/4, -9/4, 
  -117/16, -65/8, 29/8, 11, 9/4, 9/4, 167/16, -29/8, -21/8, 3/4, -2, 9/2, 
  -3/4, 1/2, -61/12, 1, -121/24, 227/24, -5/8, 7/8, 1/4, 47/16, 17/16, -17/8, 
  1, -1, -1, -5/36, 0, 5/36, -1/72, 0, 1/4, -1, -1, 1, 1/2, -1, -1, -1/2, 
  -49/36, 7/36, -11/24, -17/48, -5/48, 1/4, -1/4, -1/2, -7/48, -1/2, 55/48, 
  -5/24, -1/4, 1, -7/8, 89/144, -37/72, -17/36, -379/144, -3/8, -25/12, 5/3, 
  -3/4, 119/24, -5/12, 1, 1/2, -1/2, -13/4, 1/2, -1/2, -1/2, 1, 1, -1, -2, 1, 
  -23/96, 1/2, -1/4, 1, -5/8, 5/4, 3/8, -11/4, 1/2, -3/2, 7/8, -17/4, -3/4, 
  5, 3/4, -7/4, 0, -1735/288, -1507/144, -1/4, 103/12, 3/4, 833/288, 869/36, 
  -65/24, -1949/144, 1/4, 883/288, -5/4, -3377/288, 1/2, -9/8, -447/8, 
  -111/2, 7/4, -7/4, -7/4, 1/16, -11/4, 37/8, -31/16, 4, -259/32, -1487/24, 
  -3/8, 1, 2, 1, -3/2, -3/2, 1, 1, 3/2, 3/2, -3/4, 4, 5/4, -1/8, -15/4, 1/8, 
  -3/4, 47/16, 5/16, 13/16, -21/8, -1/16, 3/4, -21/8, -9/16, -101/16, 1/2, 
  -29/8, -1/4, 51/16, 23/8, -55/8, 19/2, 49/8, 57/4, 3/4, 125/8, 17/8, -53/8, 
  -35/4, 25/8, 3/4, -3/2, -25/8, -1/4, 13/12, 7/8, -37/48, -5/16, 1/4, 
  -13/24, -33/8, -1/8, -203/48, -1/16, -1, 3/4, 3/4, 3, 9/4, 2/3, 9, -19/8, 
  207/16, 5/16, -15/8, -29/24, 5/8, -13/4, 9/4, -15/2, -15/8, -8, -1/4, 15/4, 
  -619/48, -11/4, 141/16, 33/8, 15/8, 149/24, 11/4, -111/16, -15/8, -15/8, 
  1/2, -1/2, -1, 1, 1/8, -1/4, -13/4, 51/8, -9/8, -3/2, 85/16, 5/4, -31/12, 
  -157/24, 23/8, 61/24, 87/8, -257/24, 31/12, 37/6, -23/8, -47/8, 3/8, 31/32, 
  31/32, 31/32, -31/32, -27/8, 37/8, 1, -1/6, -17/24, 21/4, 21/4, -9/2, -9/2, 
  -5, -17/4, 3/2, 3/2, 45/8, 23/8, -175/16, -41/8, 49/16, -27/4, -21/4, 
  -25/4, -7/8, 115/16, 9, 15/4, 5/8, -15/4, -31/8, -7/2, 7/2, 31/8, 31/4, 
  7/2, -31/8, -1/4, -3/4, -1/4, -83/24, 3/8, 1, 7/4, 53/24, -3/2, -5/4, 5/8, 
  -1/4, 1, 101/24, -5/4, -1/2, -1/2, -9/8, -1/8, 1, 10/9, -49/18, -10/9, 
  31/18, -1, -5/9, 41/18, 0, 31/72, 5/12, -31/72, -2/3, 1, -1/2, -1, 1/2, -1, 
  -5/9, 41/36, -1/3, 1, -1/2, 7/36, 2, -3/2, 9/16, -39/4, 93/8, -1/2, 0, 2, 
  -2, 1/2, 1, 0, -1/2, -2, -1/2, 1, 1, 1/2, -3/4, -1, -19/36, -1, -1, -1/2, 
  1/2, -3/8, 5/3, 49/72, 17/36, 1/4, -17/24, 17/72, -65/48, 17/72, 17/12, 
  -17/72, -119/72, -655/288, -85/72, -185/48, -17/144, 119/144, 17/12, 
  1471/144, 475/24, -17/24, -40/3, 17/36, 1/4, -17/72, 3/4, 125/96, 17/72, 
  17/18, -85/72, -583/288, -17/72, 107/36, 65/48, 17/144, 17/72, 17/24, 
  2431/288, 105/16, -17/48, -20/3, 1/4, 1/4, 53/192, -1, -1/2, -101/192, 
  -7/48, -1/2, -1/2, 55/48, 245/192, -2/3, -5/48, -1/36, 197/192, 0, 47/576, 
  -1439/576, 41/48, 65/48, 35/72, 289/96, -119/144, -6811/576, 367/288, 
  69/16, -3985/576, -77/12, -29/4, 851/288, 1351/288, -79/72, 649/192, 
  403/288, -13/24, 7/12, 1195/288, -205/18, 16/9, -643/288, 13/12, 443/96, 
  5/6, 11/2, 227/72, 235/24, 79/72, 97/36, -145/24, 281/288, -149/72, 13/24, 
  -55/12, -1111/96, 1/2, 15/4, -25/96, 1/2, -25/96, 1/8, -1/2, 57/16, -75/16, 
  9/16, -29/8, 139/24, 1/12, -49/36, -2111/288, -199/144, 79/72, -695/288, 
  233/144, 13/24, 13/12, -103/72, 29/48, -16/9, -113/144, -13/12, 7/9, -5/6, 
  -13/2, -323/72, -49/12, -7/72, -19/9, 193/24, 151/288, 113/72, -37/24, 
  49/12, 799/96, 1/2, -17/4, -71/96, -1/8, 133/36, 1081/288, -271/144, 57/16, 
  91/36, 4/3, -75/16, 13/12, 9/16, -785/72, -145/48, -22/9, -3/4, -13/12, 
  473/72, -7/12, -1/12, -133/36, -8539/288, -70/3, -1/12, 901/144, 3031/144, 
  3067/96, -69/32, -2087/144, 1285/72, 509/32, -869/288, -4385/288, -47/96, 
  1/4, -3/4, 3/4, 2, 1/4, 2, 2, 1/2, -3/4, 1/4, -2, -7/2, 1/4, -15/4, -5/4, 
  -1/2, 7/4, 0, -115/36, -6199/288, -1399/144, -19/12, 1493/144, 1/4, 
  2443/144, 833/36, -929/288, -2033/144, 1213/72, 22/3, -941/288, -2657/288, 
  -47/96, 1097/8, -3267/16, 517/8, 2135/4, -3787/24, -62563/96, 2653/96, 
  -896, -13611/16, 21983/48, 695, 739/4, 8297/128, -28723/128, -31937/128, 
  -337/32, -47267/48, -25499/192, 120793/384, 24029/48, -1495/64, 0, 
  -2365/32, -7587/128, 1/8, -10013/32, -1/16, -69/2, -1407/16, 5973/16, 
  7279/32, 7525/32, -3375/32, 35171/48, 11407/16, 10471/16, 10873/48, 
  -5435/16, -7/4, -29341/48, -24719/48, 7/2, -115/4, -19599/64, 9469/64, 
  -4091/24, 51701/64, 23687/48, 20349/64, -1231/64, -97897/192, -3/16, 
  -1097/8, 1457/16, 2593/16, 3423/16, 449/32, -5263/32, -2611/32, -3631/32, 
  -19/16, -1097/8, -12837/16, -959/2, -7969/48, 2485/96, 3373/32, 657, 
  40945/48, 5891/48, -381, -4397/16, -10659/32, 0, 30093/128, 34877/128, 
  -6433/32, 55457/48, 32695/32, 32797/384, -30757/48, 15929/128, 1/8, 1703/8, 
  -144947/384, -1/4, -309/8, 11325/32, 1/16, 34, 2611/16, -13205/32, 
  -7313/32, -278, 3413/32, 1097/8, -3803/4, -15075/16, -3361/4, -26299/96, 
  12471/32, 276, 29221/24, 29201/48, -388, 299/8, -1537/8, 0, 23329/64, 
  37717/128, -12859/64, 8463/8, 18407/32, -350369/384, -52171/48, -4973/32, 
  1/8, 6559/64, 128743/384, -1/16, -253/16, 991/32, 3/2, -577/32, -615/16, 
  -53/16, 205/8, -17/16, -6745/48, -325/16, 16013/96, -1115/32, -5737/48, 
  -7/4, 721/16, 17123/128, 1/4, -90, -15669/64, 2285/32, -20477/48, -4931/32, 
  21403/128, 6565/48, -22181/128, -3/8, -333/4, 9709/384, 1/4, 3/4, -1/16, 
  -3/2, 5/16, 43/8, -17/4, -19/4, 3/4, 19/8, 19/8, -3/4, -13/8, -7/4, 13/16, 
  -1/8, -1/16, 3/4, -69/8, -45/8, -21/16, 7/4, 9/4, -29/8, 11/4, 35/16, 23/8, 
  -47/8, 63/4, 19, 73/8, 59/4, -9/4, 59/4, -23/2, -75/8, -71/8, 1, 9/2, 15/4, 
  -1, -1/4, 9/8, 5/8, -15/16, 5/8, 1/16, -1, -45/8, 3/2, -28/3, 5/16, -1/4, 
  13/4, 11/8, 13/4, -1/4, 9/4, 1/2, 33/16, 33/16, 3/4, -5/2, -1/16, 3, 1, 
  -3/4, -57/16, -19/16, -1/2, 39/8, -59/4, -19/2, -4, -1/2, 15/4, -9/8, 77/8, 
  1/4, 9/8, 2, -9/4, -27/4, -2, -1/4, -79/48, 5/4, -9/16, -1/8, 1, -7/4, 
  431/48, -1/2, 7/2, -1/2, 14, 3/2, 225/16, -29/16, 29/4, -29/24, -85/16, 
  -33/8, 7, -9, 3/4, -57/8, -5/4, -1/4, 1/6, 11/6, 3/8, 109/48, -29/24, 
  -1/16, -29/16, -1/16, 5/4, -49/24, -27/4, -2, -217/24, 3/2, -19/4, 1/2, 
  65/16, 47/8, -1, 13/3, 75/4, 11/4, 417/16, -33/16, 73/8, -19/12, -163/16, 
  -79/8, 5/2, -10, 1, -71/8, -5/4, -15/2, 41/8, 113/8, 0, -65/8, 865/96, 
  -93/32, -97/16, 89/24, 607/24, 263/16, 111/8, 2/3, -17/8, -7, 27/4, -65/8, 
  -259/48, 457/96, 157/32, 195/8, -97/16, -109/24, 607/24, -103/24, 331/16, 
  167/16, 107/12, -13/2, 5/8, 97/32, -1/8, 81/32, 1/4, -1/16, 27/4, 111/16, 
  109/24, 109/24, 5/8, 1/4, 2, -51/32, -5/4, -41/8, 1/2, -1/16, -1/2, -29/16, 
  25/8, 109/24, 45/4, -1/4, -95/8, 5/2, 307/32, 197/32, 1/2, 69/16, 13/4, 
  -161/24, -11/8, 247/16, -295/32, 9/16, 45/16, 17/4, 7/2, 1/2, -77/12, 
  -17/8, 133/32, -109/8, 29/4, 51/8, 17/3, 9/8, -143/32, -31/16, 5/16, 
  -83/12, 121/24, 13/4, -5/8, -241/72, -79/12, 25/8, 271/48, 143/12, -1/4, 
  35/48, -107/16, 61/16, -1/8, 73/6, 229/12, -181/12, 77/24, -259/24, 
  -365/24, 257/24, -73/6, -101/6, 157/12, 67/6, -11/4, -13/24, -7/16, 87/32, 
  -31/16, 53/16, 233/96, 7/24, 7/16, -7/96, 193/96, 17/16, 17/16, 11/16, 7/3, 
  83/24, -35/16, 353/96, 299/96, -1/2, -41/24, 57/32, -13/16, -11/16, 
  -191/48, -185/96, 335/48, 115/16, -1159/96, 1/2, 23/12, -57/32, 13/16, 
  79/48, -11/4, -125/32, -5/24, 47/32, 245/144, 5/12, -1/2, 35/6, 121/96, 
  -1121/96, -67/8, -3/4, 677/96, 45/16, -1, 19/32, 215/32, -13/6, -43/32, 
  -23/8, 75/16, -29/16, 17/2, -119/16, -45/8, -17/4, 17/4, 17/4, -1/2, -1/4, 
  -47/48, 1/2, 15/4, 47/48, -7/2, 3, 0, 3/4, -5/4, 67/24, -1/16, -245/48, 
  -3/16, -47/4, -11/4, -31/12, -113/24, 61/24, 83/6, 11/2, 1/3, -21/4, -21/8, 
  1/4, 5/2, -13/6, -3/2, -25/16, 11/8, 1, 121/24, 77/24, -13/4, -21/8, 5, 
  31/4, 19/8, 1/2, 1/2, -7/12, -1/2, -1/4, -1/6, 1/4, -1/16, 5/16, 11/16, 
  7/4, -5/4, 5/16, 1/4, -41/48, -11/12, 1/16, 47/48, -95/48, -13/48, 5/8, 
  -1/8, 1/8, 1/24, 1/48, 1/16, 1/48, -29/48, 23/48, -71/48, 19/8, -3/16, 
  13/24, 21/16, -7/16, 13/6, 7/48, -55/48, -13/24, -1/48, -1/3, -1/12, -1/8, 
  7/16, -9/8, 1/6, -11/12, -7/16, 1/6, -7/2, -5/2, -3, 5, 5/2, -19/8, 7/2, 
  3/8, 13, 31/4, 5/2, 51/4, -6, -153/8, -145/24, 89/16, -107/8, -121/24, 
  -33/2, 109/24, 213/16, 91/24, 43/8, 1/9, 61/36, 23/4, 16/9, 7/4, 229/72, 
  67/32, -11/4, 127/144, 1/8, 17/8, 31/8, 5/2, 35/12, 7/4, -3/8, -25/6, 5/8, 
  27/16, -1/4, -181/24, -121/24, -43/6, -49/24, 14/3, 1/24, 91/24, 137/24, 
  1/4, 1/4, -2/3, -1, 1/12, 1, 3/4, 49/16, 23/18, -1/8, -79/16, 17/12, 
  -271/144, 217/96, 1/6, -1/12, -149/72, -5/8, 151/144, 3/4, 1/2, -301/192, 
  565/192, -331/48, -171/64, 451/96, -1/4, 181/384, -1/2, 421/192, -901/384, 
  -625/192, 55/96, 1, 371/128, -1/4, -1/2, 301/192, -565/192, 331/48, 171/64, 
  -523/96, 1/4, 15/16, -499/144, -101/48, 91/72, 47/48, 71/48, -23/8, 
  -101/16, -1901/96, 401/48, 215/18, -11/8, 241/24, 655/48, 10397/288, -45/4, 
  -25/3, -509/48, -2767/288, -23/8, -107/48, 33227/576, -53/48, -2411/192, 
  -22553/576, 1747/144, -47/24, -269/144, 5/12, 1045/192, -2095/576, 43/6, 
  -1081/576, 1/16, -755/144, -135/16, 1/4, -1/8, -397/144, -935/288, 
  -391/144, -2/3, 51/16, 1/72, 19/24, 53/48, 1/8, 1247/144, 25/8, 5/16, 
  13/12, -767/144, 53/48, 40/9, -7/16, -1/48, -103/24, -1/6, 45/4, -11/8, 
  1/12, 1/48, 1/16, 839/144, 7253/288, 2551/288, 41/48, -5/576, -339/32, 
  -7/16, -71/24, -5/12, -3/16, -4301/288, -2909/144, -71/48, -257/144, -5/8, 
  7/48, 1799/288, 29/24, -1/48, 2/3, -871/72, 59/24, -17/16, 2117/288, 5/12, 
  -7/3, 3581/288, 41/16, 7/6, -1/2, -89/12, -1/2, -9/16, -1/2, 1/2, 1/16, 
  -17/16, -131/48, -17/6, -5, 23/16, 5/2, -3/2, -3/16, 23/16, 93/16, 85/8, 
  21/4, 53/8, 973/48, 491/24, -29/4, -49/8, -7/8, -27/2, -217/16, -221/16, 
  -24, 35/4, 33/4, 229/24, -3/16, 1703/96, 2659/144, 95/48, -355/576, 
  -315/32, -21/16, -5/6, 29/16, 9/16, -14783/576, -215/48, -3053/48, 59/48, 
  -29/48, 6941/288, 24329/576, -857/72, -1/3, -3289/576, 53/12, -11/16, 
  319/32, -1/3, 3545/288, -673/192, 1/6, 1807/576, -175/12, 793/576, 3/8, 
  -9/16, 19/16, 1/16, 23/48, 19/24, -17/4, -1/24, -13/8, 23/16, -5/8, 75/16, 
  151/48, 21/4, 5/6, 25/4, 449/24, -7/48, -5, -7/8, 7/4, -111/8, -217/16, 
  -191/24, -22, 143/16, -25/24, 33/4, 119/12, -5/8, -691/576, -277/72, 
  1325/72, 2/3, 25/8, -601/96, -3/8, 5/4, -785/72, -1427/1152, -14483/576, 
  281/24, -2239/36, -17/48, 65/18, 6953/288, 1835/48, -221/18, -13/24, 
  351/64, 53/12, -7/8, 833/96, 5/12, -1967/144, 10309/576, -85/18, 55/24, 
  -1/6, -353/24, -5/12, 313/576, 5793/32, 1097/16, 161/8, -763/8, -5475/32, 
  -13997/16, 3291/16, -622/3, -46927/48, 48707/32, -34, -175969/96, 
  -19923/16, -23379/16, 24991/96, 533/16, -3311/32, 31595/32, -16103/64, 
  22141/64, 40691/48, -10115/16, -208757/192, 14011/16, 4767/16, 18079/96, 
  11505/8, -329441/96, -7/4, 14187/8, 5429/16, -53617/96, -545993/96, 21/4, 
  -17511/8, -55051/16, -7/2, 1089/16, -1097/8, 6795/32, 24991/96, 11667/32, 
  -28591/64, -55381/96, 16929/32, 8351/12, -14489/64, 881/4, -23797/32, 
  -208757/192, 139/4, 22231/24, 448985/192, -2359/4, -174635/96, -25975/64, 
  38591/48, 14187/8, -2755/4, -186181/48, -13325/16, 7/4, -17511/8, -5095/12, 
  -7/2, -1083/16, -73047/64, -36007/48, 43289/12, -1785/8, 3973/48, 76425/8, 
  -11845/16, 1744355/192, 185689/48, 1107/8, 58465/96, -62629/12, 10769/48, 
  -1515055/192, -464335/192, -6847/32, 11059/4, 208783/96, -25003/48, -1/8, 
  -13/24, 35/24, -19/24, 3/8, 25/24, -3/8, -17/48, -7/24, -95/24, 121/48, 
  1/24, 21/4, 29/24, -65/24, 37/48, 5/12, -67/8, 653/48, -49/12, 643/48, 
  -355/24, -299/48, -173/48, 319/48, -5/12, 79/12, -67/48, -143/48, 1, -1, 
  -11/48, -1/4, -1/8, 67/96, -67/96, -2/3, 73/192, -2/3, 19/24, -11/192, 
  -55/96, 13/24, 1/4, 157/192, -25/16, 5/8, 367/192, 7/24, -35/96, -1/24, 
  -1/24, -107/48, -9/4, 5/48, -247/96, -647/48, 3/8, -151/16, -413/24, 7/24, 
  -199/192, -5/12, -287/32, 367/96, -11/12, 683/64, 175/48, 73/12, 55/16, 
  -1/8, -101/16, 57/8, 15/16, 127/24, 5/12, 11/16, 31/4, -75/16, -9/16, -1, 
  3/2, 1, 1/16, 107/96, -11/32, 1/6, -45/32, 11/32, -11/64, 7/24, -11/192, 
  -9/8, 5/24, -3/8, -161/192, -167/48, 3/4, -113/192, -1/16, 85/96, -7/24, 
  -13/8, -23/48, 9/16, 13/48, 7/2, 13/12, -125/48, -81/32, -249/16, -15/4, 
  -41/6, -181/8, 113/48, 73/192, -185/24, 5/96, 413/32, 853/48, 4129/192, 
  -89/48, 545/48, 25/12, -721/48, -227/48, -107/48, -1/16, 45/4, 163/24, 
  35/8, 157/48, 7/4, -127/24, -25/24, 0, 3/2, 0, -3/8, -7/16, -11/32, 1/48, 
  7/48, 11/32, 79/192, 7/24, -11/192, -5/16, -7/24, -3/8, 23/192, -143/48, 
  3/8, -149/192, -1/16, 97/96, -7/24, -11/8, -5/48, 3/8, 13/48, 27/8, 3/4, 
  27/16, 283/48, -245/16, -47/24, 33/8, -257/12, 31/48, -71/192, -7/12, 
  17/32, 413/32, 17/4, 3049/192, -63/16, 21/4, 29/24, -73/6, -215/48, 2, 
  -39/16, 55/6, -61/24, 1/4, 13/48, 2, -2/3, -13/3, 11/12, 23/4, -13/6, 
  -17/4, 563/48, -41/16, -63/8, 173/16, 35/12, 7, -301/24, 215/16, 6, -47/2, 
  -35/12, -79/8, -227/16, 203/16, 53/16, 1/4, 1/2, -23/8, 25/4, -655/48, 
  -31/96, 41/32, -3/2, -209/48, 137/24, -2087/96, -481/32, 89/24, -359/24, 
  109/16, -59/24, 1/4, 43/6, -409/32, 1793/192, 483/64, 347/48, -211/16, 
  325/48, -359/48, -77/16, -37/16, 37/16, 77/16, 1/8, 27/8, -33/4, 25/4, 3/8, 
  1045/96, -445/48, -19/24, -53/16, -11/8, -5, 137/24, -83/12, -925/32, 
  17/48, -17/6, -359/24, 403/24, -59/24, -25/8, 16/3, -297/32, -375/32, 
  -113/64, 2819/192, 841/48, -289/48, -51/4, -419/24, 47/16, -29/4, -499/96, 
  859/96, 53/32, 91/48, -109/24, -605/96, -1/6, 1155/32, -159/16, 31/12, 
  -23/8, 33/8, 147/4, -419/32, 83/12, -119/24, 23/144, 49/8, 9/4, -601/96, 
  -7/12, -13/32, -227/144, -19/8, 1057/48, 357/16, -781/96, -385/48, -273/32, 
  -2345/96, 151/16, 165/32, -405/64, 1763/32, 359/12, -3013/192, -1025/96, 
  -67/192, -10655/192, 265/48, -285/32, -117/64, 117/64, 285/32, 13/24, 
  157/48, -439/48, -253/16, 533/48, -7/3, 377/96, -73/24, 229/48, 2975/96, 
  -11/48, 7/24, -895/96, -1525/48, 87/8, -13/24, -35/12, -17/48, -33/16, 
  23/16, -285/32, -177/64, -6301/96, 283/16, 7/48, -1/8, -83/24, 1367/192, 
  -1/2, -1, 0, 13/6, 5/6, 2/3, -103/24, 1/6, -19/24, 21/8, 1/8, -1/8, 37/24, 
  23/12, -1/48, -163/96, -3/4, 181/96, 155/96, -73/32, 3/8, -5/3, -11/12, 
  -91/24, -37/96, 41/32, -7/24, 5/8, 179/48, 1/24, 1/2, 7/4, -37/12, 21/8, 
  16/3, -35/8, -11/4, -5/4, -27/8, -11/4, 7/12, 25/12, 13/8, 2, -4/3, -3/4, 
  1/8, -43/12, -1/8, 13/3, 5/2, -1/8, 31/12, -7/4, 1/2, 1, 1/8, 55/16, 
  -119/96, -1/12, 29/48, -775/96, 263/96, -65/64, 421/96, 35/192, 1/8, 
  -25/24, -11/12, -1/8, -173/32, -101/96, 485/192, 53/24, -1715/192, -1/4, 
  5/8, -55/96, 227/48, -37/48, 1/24, 7/48, -1/2, -7/4, 3/4, 13/8, -4/3, 3/4, 
  -1/8, -7/4, 3/4, -1/4, 3/4, -7/8, 131/48, 43/96, -1/24, -61/16, -43/96, 
  31/192, -31/24, -11/192, -11/4, 1/4, -3/4, 43/16, -5/4, -13/32, -1337/192, 
  -5/6, 1295/192, 37/12, -65/96, 53/96, 59/48, -13/12, -19/24, -5/4, -11/8, 
  25/8, -97/24, 115/24, -55/24, 91/48, -83/8, -11/4, 10/3, -25/24, -25/8, 
  29/6, 9/8, 385/48, -23/24, 29/12, -15/8, -9/8, -7/24, -103/24, 7/4, 1/12, 
  13/3, 61/12, 103/24, -11/4, -115/24, 19/8, -19/8, -1/2, -169/48, -1/32, 
  -5/2, 5/4, 1/16, 7/32, 5/2, -3/16, 1/2, 1, -5/3, 1/6, 1/8, 21/8, 1/8, 0, 
  -17/12, -37/24, 67/16, -87/32, -271/96, -1/3, 61/24, 25/16, 1/4, -1/2, 
  -7/4, 23/12, -35/8, -11/4, 7/6, 79/24, 37/6, -7/4, 5/8, -1/8, 13/3, -13/8, 
  1/2, 1, 1/4, -13/6, -5/6, -1/2, 103/24, -1/6, 1/4, -21/8, 0, 1/8, -25/24, 
  -11/12, 1/8, 121/48, 149/32, 41/12, 8/3, -49/24, 13/12, -35/12, 107/24, 
  7/16, -1/4, 5/8, -1/8, -301/48, -79/12, -137/24, -10/3, 47/24, 1/24, -5/24, 
  35/8, 149/24, 1/24, -1/2, -7/4, -1/2, 8/3, -21/8, -1/6, -31/6, 35/8, 11/4, 
  3/4, 13/8, 7/4, -1, 29/16, -163/36, 49/24, -4/3, -305/48, 25/12, 233/144, 
  67/32, 3/4, -1/8, 1/6, 89/24, 1/8, -107/24, -7/4, -173/72, -1/24, -7/8, 
  31/144, 1/8, 3/16, -43/96, -1/8, 35/48, -65/96, 25/96, -115/192, 77/96, 
  23/192, -1/4, -145/96, 5/8, -695/192, -11/16, -457/192, -31/96, -1/12, 
  41/12, 5/48, 1/4, 1/2, -1/16, -1/3, 19/48, 1/16, -25/48, -11/24, 1/8, 5/16, 
  7/48, -1/8, 5/16, -1/48, -7/8, 1/48, -1/4, -7/8, 3/16, 7/48, -5/24, 3/8, 
  13/16, -25/48, -43/48, -2/3, 7/8, 3/8, -1/16, -1/4, 5/24, -7/8, 3/4, -1/8, 
  -13/16, -13/16, 1/16, -77/48, -25/8, -13/3, -1/8, 145/48, 15/8, 103/48, 
  -59/48, 23/24, 1/16, 7/8, 4, 335/48, -1/8, 287/48, 493/32, 3/4, -2/3, 
  -319/48, -45/8, 19/24, -5/8, -43/24, -39/8, 1/4, -31/4, 5/8, 5/8, 191/48, 
  7/24, 25/24, -1/24, -5/8, -7/4, 1/8, 7/6, 51/64, 2173/288, 29/48, -5/2, 
  179/192, -17/24, -9/8, 113/48, -43/8, 19/48, -11/8, -1/4, 835/144, 
  431/1152, -19/48, 3/16, -571/18, 13/12, -1/2, 91/24, 109/48, -1/12, 
  1529/144, 17/24, -43/48, -1889/576, -3/8, 1/4, -7/16, 113/48, -1/24, 
  -11/48, 221/72, 211/48, 17/24, 617/192, 19/6, -1/6, 59/24, -5/24, -79/48, 
  -79/72, 1/2, 11/24, -27/16, -17/48, 89/48, -1085/576, 7/8, 1/48, -1, -63/8, 
  -1/16, -11/48, -7/48, 5/24, 1/2, 1/12, 47/48, 1/2, 1097/32, -1097/16, 
  6795/64, 561/32, -38235/128, 8333/64, 25003/96, 262379/384, -4805/24, 
  -28835/48, 121553/384, 86941/128, -60713/192, 1097/16, -2253/16, -3397/16, 
  1097/32, 102319/192, -7717/384, -167969/192, 151/8, 7595/96, 725489/384, 
  -36491/128, -104211/64, -10115/32, -695/8, 1799/4, 1097/16, -5391/64, 
  53443/48, -46073/192, -328755/128, -384811/384, -19923/32, -681/8, 
  -107173/96, -243347/192, -20035/32, -1069/32, 11/16, 5/8, 3/2, -146383/192, 
  -32323/384, 23411/64, 8333/32, -200723/384, -387703/384, -82385/96, 
  105335/32, 47581/32, -1285/32, 5159/192, 20011/192, 24859/96, 175013/96, 
  -189921/128, -375037/192, 838979/96, 35765/8, -259727/48, 5731/24, 
  -62999/96, -208375/192, 292903/48, 1878197/384, -1385821/96, 282917/96, 
  62151/32, -690467/48, -599171/96, 202/3, -25/24, -2, 80029/192, 23627/64, 
  8117/32, -119449/32, -35935/32, -5/24, -4435/192, 7021/64, 25105/96, 
  -2275423/384, -141045/64, 125287/16, -129369/64, -69807/64, 4544785/384, 
  273977/64, -20777/192, -13/24, -3/16, 157751/96, 25439/96, 5/24, 45133/32, 
  8353/32, -49775/12, -626525/192, -25003/96, 25003/32, -1/16, 1/16, -1/32, 
  -1/4, -7/48, 17/16, -77/96, 1/4, 17/48, -77/48, 5/6, -1/12, 23/48, -1/16, 
  1/8, -9/16, 1/3, -1/16, -5/16, -23/24, -11/24, -1/3, 7/8, -17/24, 19/48, 
  -5/4, -1/48, -1/6, 1/8, -35/48, -1/4, 5/16, 7/4, 7/48, -1/48, 1/12, -7/8, 
  1/6, -163/96, -205/24, 1/16, -1, -407/48, -49/24, 1/3, -203/96, -79/24, 
  -19/48, 2, -1/8, -59/16, 179/96, 5/24, -11/12, 541/96, 173/48, 23/16, 
  293/48, -13/12, 3/8, 43/24, -35/48, 41/24, -19/12, -43/48, -7/24, 17/48, 
  -19/48, 1/24, -7/48, -91/48, 89/48, -1, 113/24, 253/48, 7/12, -10/3, 5/24, 
  49/16, 25/4, 19/12, 7/8, -17/6, 13/16, -223/48, -43/16, -5/12, 83/48, 3/2, 
  137/24, 1/16, -3/16, -5/48, -5/24, -5/2, -101/24, -5/16, 1, 1/16, 1/4, 
  -5/8, -1/4, 7/48, 7/8, 53/12, 27/8, -13/16, 131/96, -265/24, 19/48, 77/96, 
  -1/16, -13/48, -1/24, 17/48, -37/3, 125/24, 9/16, -251/24, 137/96, -5/48, 
  -13/6, 17/12, 61/16, -171/16, 1/48, -115/48, 1/24, 5/12, 91/32, -5/48, 
  -1633/192, -187/48, 335/64, -149/48, -5/24, -9/8, -13/12, -7/2, -841/96, 
  1097/96, -731/96, -115/48, -35/8, 515/32, 115/48, -23/48, -185/24, -503/96, 
  -13/32, 5/24, 469/96, 79/16, 251/32, -173/32, 53/32, -53/32, 31/24, 169/48, 
  1/2, -23/16, -5/6, 1/12, 23/24, 55/12, -11/8, -1/16, -83/96, -14/3, -11/24, 
  -13/16, 115/8, 127/48, 7/3, -829/96, 79/96, 1/16, -239/48, 29/48, -71/96, 
  57/16, -29/2, 5/48, -5/24, 27/8, -1/48, -31/24, -10/3, -7/8, 7/48, 31/24, 
  -35/16, 23/16, 25/12, 35/24, 679/192, -103/64, -725/48, 967/64, -541/64, 
  157/24, -49/24, 935/64, -45/8, -3/16, 3/8, -1/16, -83/24, 13/6, 415/192, 
  -113/192, 737/192, -187/192, 1/4, 1/2, 0, -13/12, -5/12, -1/3, 103/48, 
  -1/12, 19/48, -21/16, -1/16, 1/16, -25/48, -11/24, -1/48, 7/16, 1/3, 1/8, 
  -35/8, 43/96, -7/12, 11/4, 1/8, -1/8, 5/16, 1/16, 37/24, -25/48, -13/48, 
  -269/96, -13/16, 1/48, -1/8, 1/6, 13/8, 1/48, 1/4, 1/8, 1/4, -1/8, -55/48, 
  -1/2, -1/24, 35/16, 1/8, 11/8, 1/8, -7/6, -53/48, -1, 43/96, -1/4, 33/32, 
  -343/48, -103/48, -3/8, 1, 11/12, 67/16, 211/96, 367/96, 7/24, -5/8, 
  -191/48, -1/24, -1/2, -11/8, -1/16, 29/12, -31/12, 1/16, -11/4, -13/6, 5/4, 
  5/2, 11/12, 95/24, 319/48, -25/12, -13/8, -23/6, 4/3, 3/4, -1/8, 13/3, 
  -5/2, 1/8, -13/3, 7/4, 5/12, 5/12, 0, 79/24, 125/24, -125/24, -125/24, 5/8, 
  -1623/64, -1623/64, 1623/64, -1, -1, -7/12, 1, 11/4, 2, 2, -4, 1, -13/6, 
  -2, -2, 4, -1/2, 1, 1, -7/8, -2, 7/8, 25/2, 25/2, -25/2, 1/2, -4, 0, 43/8, 
  1/8, 0, 0, 1/2, -5/4, -1/8, -49/24, -1/2, -5/4, 5/4, 2, 3/2, -1, 0, -3/8, 
  -5/2, -2, 4, -1/2, 0, 0, 67/24, 3/2, 2, -1, -11/12, 1/2, 5/24, 0, 0, 9/5, 
  -1/2, -5/24, 79/24, -16/3, 2, 7/24, -7/24, -7/24, -31/24, 31/24, -11/24, 
  17/24, -17/24, -5/12, 13/12, -13/12, -5/12, 1/2, -1/2, 1/2, -1, 1, 17/24, 
  13/12, 7/24, -7/24, -7/24, 5/24, -5/24, -1/24, 23/12, 5/12, -5/12, -5/12, 
  -7/24, 5/8, -5/8, -5/12, -11/24, -5/12, 5/12, 5/12, 7/24, 5/8, -4/3, 4/3, 
  4/3, 13/12, 5/24, -5/24, -5/8, 67/24, 607/72, -55/8, 277/36, 791/72, 
  829/72, 5/6, -5/6, -5/6, 7/12, 5/24, -5/24, -5/12, 3/8, -20/3, 20/3, -20/3, 
  0, 0, 5/8, 5/8, -79/24, 1/4, -1/4, 7/8, 5/3, -4, -1, 1, -1/2, -5/8, -5/8, 
  155/24, -155/24, -65/12, -1, -5/4, 5/4, 5/12, -1, 17/12, -61/24, -17/24, 
  -5/4, 181/4, 77/4, 8, -217/2, 27/4, 27/8, 1/2, -1, 27/4, 27/8, -17/12, 
  61/24, 145/24, 73/24, -3, 227/24, 25/6, -27/8, -19/6, 0, 0, 0, 0, 0, 0, 0, 
  4, 4, -34/3, 2, 3, -19/2, 4, -5, -2, -2, 22/3, -1, 13/6, -149/144, 
  -281/288, -17/12, -17/12, -17/12, 17/12, 17/24, 47/24, 119/24, -3, -23/12, 
  19/8, 5/8, 835/288, -691/288, -25/2, -25/2, 25/2, 0, -1, -1, 1, 1/2, 32/3, 
  1123/288, 1, -979/288, -1/2, -3/2, 1267/288, 67/24, -1855/96, 7255/288, 
  307/144, -25/3, -25/2, -1493/144, 25/6, 25, -25, 75/2, 75/2, -75/2, 37/4, 
  29/12, 3/4, -25/12, 7/24, 563/24, 167/8, -1/12, -503/24, 35/4, 23/8, 3/4, 
  -7/12, -29/24, 0, -47/6, -47/6, -47/6, 0, 9/4, 2201/288, -5/12, -47/6, 
  28/3, 5, -33/4, -53/6, -1109/288, -1, -1085/288, -1109/288, 35/4, 5/4, 3/2, 
  1, 1, 0, -1, 13/8, 1/3, -1/3, -25/24, 1, -23/12, 5/4, 1, 11/24, 32/3, 
  -29/36, -689/72, -35/6, -151/24, 35/6, 727/144, -2549/144, 1/8, 6, -5/2, 
  -29/4, -727/144, 2549/144, 5/2, -1, -1, 1, -3/2, 3/8, 1159/288, 3/4, -1, 
  23/12, 5/4, -5/4, 3/4, -229/96, 497/96, 229/48, -2017/96, -21349/576, 
  11953/192, 1553/64, 67/12, -23/48, -1591/144, -607/48, 4157/144, 871/36, 
  67/24, -2017/96, -5, -3/4, 8599/288, -29/12, -7/3, 1/12, 29/12, -49/16, 
  -10/3, -9/4, 49/24, -67/3, -67/6, 15769/48, 143/12, 18887/96, 
  9391121/33408, -73/4, 5867521/11136, 664547/696, 3239/192, -6366785/11136, 
  -7/12, 7/12, -44, 33/4, -19/3, 173/6, 22, -1819/16, 19/6, -17153/96, -22, 
  -1691/16, -19/6, -4699/32, -67/8, 505/16, 65/8, 38251/192, 143/8, 41, 
  -1883/16, -661/24, 67271/192, -81/8, 215/16, 1385/8, 83/8, 17743/192, 
  -83/8, 183/16, 1171/8, 115/8, 22111/192, -5/3, 2/3, 2, 1451/16, 14, 0, 1/2, 
  1/2, 1, 2, -371/48, 14, -18983/96, -2, -1449/16, -14, -1, -81/8, 655/16, 
  79/8, 31783/192, 2, -2495/16, -3/2, -7, 2415/16, -77/8, 1225/8, 357/16, 
  79/8, 16435/192, -2, 2531/16, 3, 21/4, -2451/16, 139/48, -133/48, 
  -167603/9216, 1080919/9216, 59633/1536, 183/512, -703657/4608, -66247/9216, 
  1227167/4608, -175909/9216, -11/6, 0, 5/4, -5/4, -2, 2, -11/12, -11/4, 
  -5/3, 0, 0, 0, 20/3, 0, -20/3, 20/3, -3, 38/3, 0, 0, 0, 0, 0, 0, 0, 3/2, 
  -19/3, -10/3, 3/2, 10/3, -19/3, -10/3, 373/36, -487/36, 125/24, -125/24, 
  121/12, 35/6, -107/8, 5/8, 31/24, 17/12, -5/6, 7/12, -17/8, -2, 2, 31/24, 
  31/24, -11/12, 109/72, 0, -103/18, 17/4, 117, 10/3, -140/3, 10/3, -140/3, 
  47/12, 0, -47/12, 0, 47/12, 0, -47/12, 0, 0, -594/5, 31/8, 3, -49/6, 2, 
  5/3, -9/5, 0, -5/8, -3/2, 101/24, 2, 199/48, 7/8, -3/2, 2, 2, 295/48, -5, 
  5, -5, 109/12, -95/36, 31/72, -83/4, 2/3, 5/2, 335/12, 1207/72, 175/18, 
  233/36, 593/72, 1147/72, -94/9, -169/18, 625/3, 7/24, -7/24, -7/24, 31/6, 
  -31/6, -61/24, 35/8, -23/3, 191/24, 25/12, 1/18, -55/12, 43/6, 45/4, 
  187/24, 19/12, -19/12, -19/12, 7/3, 0, 0, 0, 2093/288, 1265/288, -29/12, 
  -29/12, 605/288, 689/288, 29/12, 0, 5/12, -5/12, -5/6, -3/4, 1, -1, 
  -947/72, 5/12, -19/12, -53/24, 53/24, 29/12, 3/2, -7/24, 67/24, 607/72, 
  11/6, -11/6, -5/4, 7/6, -91/6, 40/3, 383/18, 541/36, -29/12, 32/3, 29/12, 
  10/3, -10/3, 0, 10/3, 29/12, -16/3, 11/24, -23/8, -7/8, 1/2, 2, -2, -2, 16, 
  -3569/16, -3393/8, 6, -1, 7/3, -11/6, -559/24, 17/12, 17/12, 17/12, -17/12, 
  72, -277/4, -17/12, -1261/48, 61/24, -19/6, 0, 0, 0, 0, 0, 0, 13/4, 17/8, 
  1493/288, -17/24, -7961/288, 250, -250, -25/2, -75/2, 25/2, -569/24, 
  -521/24, -7/6, 509/24, 115/12, -203/24, -4, -31/288, -1685/288, -2, 1, 
  -1085/288, -1301/288, 89/12, 13/12, 31/6, 2/3, 5/2, 7, -1, -2477/288, 
  403/288, -989/48, -475/144, 935/48, -3/2, -11051/1440, 11/12, -295/288, 
  8351/1440, 2, 2, -2, -511/144, 13/6, 2237/144, 1/3, 1145/192, -1145/192, 
  -1145/192, 250/9, 8315/288, -8315/288, -35/32, 67/12, -23/48, -1087/144, 
  -415/48, 7/6, 3653/144, 871/36, -2065/48, -7433/288, 25829/576, -25/2, 
  1207/72, -25/6, -557/24, -1661/24, 25/12, 1697/24, -5/4, 557/12, 127/3, 
  1/3, -497/12, -2633/288, 221/288, -5/12, -4589/288, 35/8, -5117/288, 
  -643/288, -33/4, -5165/288, 1229/288, 47/6, 5, -26/3, -50/3, -3/2, 19/12, 
  7/3, 7, 2/3, -2141/288, -7811/1440, 11/12, -943/288, 8351/1440, 149/36, 
  86/15, 689/72, -86/15, -3/2, -23/12, 23/12, 1/3, -6077/144, -23621/576, 
  26837/576, -107/64, -463/72, -4759/96, 18949/288, 6263/96, -38417/576, 
  -18295/288, 16139/192, 5299/288, -835/16, -17947/576, -1/3, 14191/288, 3/4, 
  31083197/6960, -295270913/668160, -1355794679/167040, -630018101/83520, 
  -2114309/1920, 594995611/222720, 385173133/55680, 29056177/27840, -3227/96, 
  85538087/66816, 25403381/8352, 5999/192, -716594/261, -3889/192, 
  16079963/66816, -44768137/33408, -479/192, 16109495/11136, 1427/96, 
  114422521/66816, 1506979/522, 593/64, -19845361/33408, 69/16, -153/8, 
  137/3, -8895/8, -3397/32, -3397/32, -24767/192, 8293/64, -4109/32, 3661/32, 
  -98965/192, -19/3, 34551/64, -17/4, 809/16, -1805/6, -233/12, -7987/96, 
  -51/4, 379/16, -2065/48, 775/12, -14771/32, 93/4, -3987/16, -38815/48, 
  -77/12, 8693/32, -62, 1467/16, -1467/16, 0, 13/4, 17821/144, 7/8, -49/16, 
  11363/288, 65/8, -14347/48, -797/24, -197/8, 8599/64, -119/8, 1085/48, 
  1381/16, 1049/24, -17697/64, 93/8, -9065/12, -883/8, -77/24, 97861/192, 
  -46975/4608, 37945/2304, 303703/1152, 126175/768, 100687/1152, 34775/384, 
  306293/1536, -274067/1152, -229777/2304, -4649/64, 36445/192, -165803/1536, 
  80003/384, -72421/768, 2509111/4608, -31499/1536, 827303/9216, 
  -1743595/2304, 1032127/9216, -265040051/27840, 73747693/334080, 
  1697904103/167040, 849166507/83520, -662021/464, -47561935/16704, 
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  83/16, -37/4, -55/16, -140/3, -49/8, 3, 11/6, 2, -10, 6, -3, 576/5, -4, -2, 
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  13/36, 5/36, 395/72, -55/24, 461/576, -461/576, 13/8, -761/144, 587/144, 
  761/144, -1/2, -5/4, 7/8, 7/12, 11/21, 103/126, -3/4, -1, 5/4, 2, -2, 5/8, 
  -5/4, 4/3, -475/72, -1001/72, 39/8, 163/144, -619/72, -163/144, 91/18, 
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  1255/48, 197/12, -1/4, 8/3, -3/4, -8/3, 1, 0, -25/4, -4/3, -47/12, 157/96, 
  -689/576, -229/64, 307/36, 381/16, -3805/96, -5/12, -53/12, 13/12, 5/2, 
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  7/6, 1/2, 103/48, 67/48, -1/2, 3/2, 21/16, 1/4, 1/8, 99113/128, -147/4, 
  787, 3687/128, 429/8, -66529/32, -272603/128, -37, -99113/128, -5385/128, 
  -17017/128, 267771/128, 10121/128, 9/8, -537/16, 491/16, -161/4, 1149/16, 
  313/8, -1, 15/8, 53/8, -87/16, -163/4, 9/8, -17/12, 91/6, -485/72, 127/18, 
  -289/18, -25/12, 71/48, 269/72, 323/144, 23/24, 1321/48, 5633/144, -145/16, 
  -2155/48, -401/48, 3251/576, 1985/576, -3/4, -421/64, 3/8, -17/48, 
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  -187/192, 11/6, 163/192, -3/8, -17/48, 77/8, 25/192, -523/48, 2081/1152, 
  8875/576, -41/6, -5/48, -179/288, 3/4, -1, -7/8, -3/4, 0, 41/24, -1/2, 
  45/16, -1/4, -17/12, 17/12, 3623/288, 1201/144, 70/9, -1567/288, -91/16, 
  85/48, -977/48, -4483/288, -23/24, -1919/72, -2395/288, 9371/576, 3955/288, 
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  5/24, -197/144, -1339/96, 743/192, 6995/288, 677/72, -997/144, -67/24, 
  105/8, 67/24, 3533/144, 95/48, 13/32, 1/8, 3061/864, -1/8, 3347/288, 
  8969/576, -3061/864, -1195/64, -6365/432, -13/24, -34279/864, 65/48, 55/16, 
  -49/12, -65/48, 49/12, -55/16, 1325/288, 0, 1805/288, -83/12, -13/4, -13/8, 
  83/12, 17/12, -5/8, 257/24, 3/2, -107/8, -91/24, -41/4, 3713/288, 3/8, 9/2, 
  -49/8, 3/8, -35/6, -1/8, -59/8, -61/8, 77/24, 221/24, -223/48, -7135/288, 
  1187/288, -2215/72, 6077/144, 641/12, 1/4, 22/3, -1627/576, 259/288, 
  -1421/96, -3/4, -17/8, 15/2, 43/8, 13/4, 9/8, -43/8, -9/8, -1001/288, 
  -389/432, 113/72, -242/15, 761/144, 1/2, 559/30, -2, -5/2, -95/72, 
  333523/720, -1025/144, -344989/1440, -652849/1440, 61/2, 24541/576, 
  1181/96, 1597/128, 15691/1152, 25/24, -17455/288, -6107/144, -14491/1152, 
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  701/96, -3/2, -41/3, 1, -311/24, -2179/96, 79/6, 739/48, 1135/72, 4075/288, 
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  -449/144, -317/72, -3/4, -103/24, 107/24, 281/48, -817/96, -433/6, -79/48, 
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  1403/144, 411/32, 415/144, 2039/288, -29/24, 1097/144, 1577/144, 17/8, 
  11/12, -9319/1152, -9319/1152, -6505/1152, -6505/1152, -11/8, 11/24, 
  -67/48, -103/48, -301/12, -5/4, 245/48, -61/12, -83/48, -2035/288, 
  5155/1152, -5155/1152, -22793/1152, -26567/576, -26081/1152, 17093/1152, 
  -7889/576, -3653/1152, 4099/1152, 5155/576, -3/4, -1/8, 19/48, -47/24, 
  -109/24, 457/96, 301/32, -29/6, 95/72, -127/36, -1501/24, 7/4, -5/2, 
  -2377/144, 17/48, 15191/36, 371/36, -199/144, 487/72, 2377/144, -5/24, 
  5/24, 39/8, 293/32, -3/4, 259/32, 17/24, -37/24, 139/32, 1/2, -95/84, 1, 
  61/126, 877/504, -625/6, -7/4, -37/24, 305/84, 643/252, 2537/24, -5/2, 
  -95/84, -271769/5544, 1157/504, 1181/6, 116321/5544, 215/56, 515/504, 
  189523/5544, -5/2, -621659/1848, -51821/144, -278875/5544, 35/36, 
  1725547/22176, 112025/168, 905039/1386, 2639429/22176, 132953/5544, 5/24, 
  -257/168, -404609/5544, 157/48, -155335/462, -35/12, -40339/792, 
  -367603/22176, 112025/168, 1044245/2772, 2620949/22176, 22601/63, 5/24, 
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  7/18, 139/72, -7/18, 17/18, -101/72, -13/12, 277/144, 29/18, -1243/144, 
  35/18, 2459/144, -43/24, 35/24, 143/36, -35/24, 83/72, -1/2, -13/12, 
  275/144, 83/18, 113/48, -15/4, 607/48, 35/24, 683/64, -1391/64, -683/64, 
  3893/192, 1/24, -1309/48, 1997/48, -3/2, 281/64, -8975/576, -301/24, -3/4, 
  619/64, 101/64, -619/64, -53/64, 59/24, -1309/48, -241/16, -3/2, -5977/576, 
  3731/576, 707/48, 1/2, 7/6, -1/2, -7/6, -1/4, 3/8, -35/8, 287/24, -91/12, 
  155/24, -143/24, -125/8, -25/12, 1711/72, -251/9, -415/18, 3/2, -1, -1/2, 
  13/6, 1/2, -1/2, 37/12, -143/24, -25/12, -25/12, -2/3, 1/2, -365/144, 
  2201/288, -2201/288, -2201/288, -2141/288, 1/3, -7/3, 2, -2201/576, 3/2, 
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  -1525/504, -783655/5544, -37/8, -30703/308, 5/12, 13/16, -100981/1848, 
  5470519/22176, 2731525/11088, 2031973/11088, -1002979/22176, 1063123/5544, 
  53/168, 1937/504, -179779/5544, 157/48, -406501/1232, 5/12, 9/16, 673/252, 
  -314935/22176, 2744461/11088, 23/84, -954931/22176, 359999/1008, -5/24, 
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  11/21, -190/63, -5/8, -7/12, 352721/1728, 415/144, -1963/96, 23/24, 
  5387/144, -23/24, -4117/288, 2549/48, 169/96, -14371/288, -2867/96, 
  227/144, 185/288, -3467/288, 325/96, -1669/96, -71/12, 845/72, -323/72, 
  349/96, 221/288, -1607/96, -2393/72, 143/96, 7765/288, -1993/288, -2425/72, 
  -71/72, -201/32, 437/32, -991/96, -595/288, -131/8, -65/16, -3/4, 511/8, 
  -1345/32, 29957/288, -8575/288, -454/9, 6871/288, 35/6, -641/144, -133/12, 
  641/144, 79/12, -1375/72, 103/12, 809/48, 239/18, -403/144, 49/72, 19/36, 
  329/48, -295/24, -2801/144, 29/32, 397/18, -49/96, -41/6, -2/3, 8, 
  6497/288, -271/96, -2145/32, -29/4, 6527/96, 0, 2381/144, 185/96, -179/24, 
  11, 17/3, -567/32, -29/6, -35/12, 1/2, 5/3, 5/2, -5/3, -3, 25/3, -55/6, 
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  -1847/96, -17/24, 7/12, 127/24, -1115/48, 877/48, -31/6, 31/6, -1595/48, 
  511/48, 4369/96, 349/48, 11/3, 5/8, -15/4, -171/16, -5/8, 1/2, -23/16, 
  883/96, -311/48, -7/24, 11/6, 947/72, -7/12, 1, 9/4, -5, -9/4, 4, 25/12, 
  -9/4, 5/12, -49/12, -4, 70/3, 4, -12, -709/72, 335/96, 557/96, -103/16, 
  -1421/576, 523/48, 1421/576, -107/24, 9/4, -2777/576, 67/16, 473/288, 
  313/288, 967/576, 43/4, 10, -10, -1/4, 1/24, -95/48, -40/3, 1/2, -1/2, -1, 
  -23/6, 1/12, 7/4, -5/8, -85/16, 79/12, 1/8, -1/4, 185/16, -3745/576, -1/4, 
  -10, 1/2, -17/24, 85/48, -4121/288, -8833/1800, 1469/1200, -9/8, 4063/900, 
  3, 3/2, 3/2, -3/2, 23/80, 1/8, 2821/900, 5731/1200, -3/8, 3/2, -9463/900, 
  -3/2, 1/8, 2821/900, -23/80, -1/4, -547/80, -31/9, 2, -43/24, -23/8, -5, 
  -1951/560, 1/2, -40/21, 287/24, 222011/32760, -5103953117/267264, 
  5101029917/133632, -6492606937/222720, 471/4, -7575/4, -7263/32, 
  -5117234711/668160, 51563/15360, 149339341/334080, 5116483031/668160, 
  10061870557/668160, -10059156157/668160, 2584683/5120, 806201423/178176, 
  99811981/111360, 5238104507/534528, 94047269687/2672640, 
  -32447931587/2672640, -5089392275/178176, 5110501085/267264, 
  13192053997/1336320, 57113291209/2672640, 1139570789/296960, 
  -5064331229/267264, -6862862989/668160, -6831515381/178176, -1131/8, 
  5130347351/1336320, -339665519809/5345280, -363412800793/5345280, 
  35160284669/890880, 64078751329/1069056, 16, 11506938817/668160, 
  75912378829/890880, 10062789277/1336320, 201772086613/2672640, 
  10064250877/1336320, -5180958557/267264, -238938223/23040, 
  -3513996697/296960, 1923/4, -5605158725/267264, -102420080771/1069056, 
  -96581851127/5345280, 10435396247/890880, 5145217043/356352, -53/8, -86, 
  985/16, -439/16, 3389/16, 883/8, 185/4, 781/24, 199/24, -13/8, 
  -319103607023/2672640, -25341892783/148480, 130891044031/890880, 
  227402385439/1336320, 146689189031/2672640, -3/4, 1171/144, 31/12, 1/8, 
  -25/36, -23/6, -11/12, -13999/144, -17, 317/48, 85/48, -17/12, 1055/144, 
  -103/48, 101/48, 83/48, 7/3, 4147/144, -61/8, -6271/144, -1519/48, -1/2, 
  15/8, -175/36, 83/24, 65/36, 37/48, 1/12, 1/16, -101/24, -47/24, -25/24, 
  -847/48, 289/48, 401/16, -1, 7/6, -101/18, 17/24, -1157/192, -65/16, 1/6, 
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  -1607/576, 173/72, -473/48, -23/12, 9/16, 79/288, -185/64, 13/16, 
  10307/576, 2083/64, -41/12, -10871/576, -77/24, -6659/1152, -925/72, 
  -13807/1152, 6659/1152, 13807/1152, 71/16, 47/24, -71/16, -3/2, -2489/144, 
  -19/24, 3/2, 221/48, 1489/288, -185/72, -877/96, -22013/1152, -8741/1152, 
  -13/16, 1331/144, -935/192, 419/96, -149/288, -571/576, -13/144, 1489/288, 
  -185/72, -877/96, -22013/1152, -8741/1152, -13/16, 1331/144, -935/192, 
  419/96, -149/288, -571/576, -13/144, -187/192, 11/6, 161/64, 135/16, 
  -17/48, 77/8, -383/192, -259/24, -5/3, -10519/1152, 10099/576, 17/8, 
  -60067/144, -97/36, 97/36, -1/12, 11/3, -29/8, -17/48, -347/96, -11/3, 
  245/48, 121175/288, 27/8, 1205/288, 17/48, 10171/24, 123209/288, -31/8, 
  13/6, -967/96, 241357/576, -81191/192, -343/72, 13/144, -7/8, -101/192, 
  -3/4, 1/2, -139/192, -99/16, 17/48, -229/192, 97/48, 162763/192, -119/72, 
  -15229/36, -437/64, 244159/576, 1, -1/8, 1/12, 1/4, -2, 13/12, 1, -223/36, 
  1649/144, -757/144, 10465/1152, -325/384, 1, 85/48, 3/4, -117/16, 
  -7925/576, -4097/576, -1/4, 17/48, 103/12, 1/2, -51/16, -6625/576, 
  -23129/576, 75/16, 10009/192, 17/48, 17/24, 857/192, -65/16, -17/48, 
  -17/24, -17/48, -10, -4697/192, 17/48, 10, 955/64, 1309/96, 19/96, -23/8, 
  -181/64, 17/16, -1049/32, -4103/192, -3/4, -4477/192, -677/24, 1751/192, 
  3371/64, 77/8, -57431/1152, 6241/288, 6241/288, 57431/1152, -6241/288, 
  -323/144, -323/144, 323/144, -769/48, -53239/1728, -68045/864, 13/24, 
  15475/144, 671/24, 86129/864, -341/3, -707/48, 8/3, 22777/288, -3461/144, 
  -223/48, -29/32, 6241/576, -583/36, -805/32, 53147/1728, -29/32, -37/24, 
  -3953/96, 779/24, 2515/576, -451/18, -2785/144, -889/144, -859/192, 5/8, 
  233/24, 5797/144, 3235/192, -33/2, -213/32, 1925/192, 1849/48, -14353/576, 
  -12931/576, 3433/288, 97/48, 5, -15, -51/32, 3623/96, -1339/288, -61/12, 
  324637/1440, 624829/2880, 157/12, 2107/288, -624829/2880, -2429/288, -23/8, 
  -1651/96, 947/72, 1187/192, 857/36, -21137/192, 8149/288, 3275/36, -537/16, 
  1613/288, -24833/144, -1367/18, 1295/9, -2825/192, -1357/144, -251/4, 
  -7201/288, 1717/128, -1417/1152, -25/24, 241/6, 14447/288, 1417/1152, 
  -3575/144, 1567/36, 3287/288, 8399/576, -2459/72, 103/24, 1889/48, -415/96, 
  -271/32, -2735/192, -18469/1152, 143321/2304, 2195/576, 9133/192, 47/9, 
  9707/384, 20279/384, 1693/192, 7355/192, -6461/576, 3461/144, -51391/576, 
  29/32, -769/48, 744673/6912, 1626913/6912, -5929/576, 18553/192, -6241/576, 
  671/24, -1482241/6912, -18583/288, -5617/576, 1091/288, 1925/24, 805/32, 
  -108643/864, 29/32, 1172275/4608, -159161/1152, -1018571/4608, 53509/384, 
  -2940071/6912, 6241/288, 100939/256, -323/144, 769/48, -2431/32, 
  -44239/288, -13/24, -2059/18, 6241/576, -671/24, 12469/96, 3043/24, 
  191/144, -8/3, -22777/288, 6743/288, 64595/1728, 13/32, 173/16, -8077/96, 
  613/96, 536/9, -1219/192, 47161/576, -16259/288, -407/64, -10715/864, 
  7937/432, -8461/216, -85867/864, 6599/288, 149/16, -4223/96, -2, 179/32, 
  4219/72, -5/4, 3197/192, 5729/576, -15911/288, -3353/192, -9275/864, 
  -2387/36, -1735/54, -1447/864, 6191/288, -2, -4991/288, -161/96, 37/24, 
  -53/6, 4/3, -79/64, -14135/576, 2555/144, 1277/96, 1/24, 137/144, 2981/96, 
  113/288, -259/8, -21025/576, -14501/576, 1031/64, 2843/72, -1463/288, 
  413/96, 1/24, -6955/288, 1405/288, 337/32, 791/24, 2981/96, -1087/288, 
  -259/8, -4521/64, -23287/576, 269/6, 3893/192, -23647/576, -25/24, 
  11093/576, -995/64, 7747/576, -7673/576, -5/4, -67/6, -1055/192, -6343/576, 
  305/24, 2629/144, 11693/576, -2341/48, 3571/192, 23407/576, -61/24, 
  1469/576, -2597/192, -7/8, 323/24, -5/4, -59/8, -319/192, -701/24, 49/24, 
  2509/72, -2569/144, -9913/96, 681/16, 58255/576, 11/4, -7/4, -31/4, 21, 
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  277/18, 8515/144, -1/2, 145/9, -4361/288, -497/288, 9019/480, 377/288, 
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  32673/160, -221/9, 8397/20, 187243/480, -23/72, -13/15, -689/144, 497/288, 
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  -123455/1152, -63/16, -235/128, 6431/576, -25/48, 73963/576, 13279/288, 
  -6431/576, -12145/288, 17611/1152, 57/16, -15805/1152, -23677/1152, 
  -557/64, 27841/1152, -19001/1152, 25/48, -31111/1152, 20201/1152, 2679/64, 
  -85601/1152, -27821/1152, 281/16, -673/96, -3935/192, -140515/2304, 
  7973/576, -51, -1/4, 71735/576, -14419/1152, -25/24, 547/16, 126239/2304, 
  -185015/2304, -14291/192, 275701/2304, 32883/256, 12707/288, 41381/576, 
  1841/64, -595/72, 2075/288, 25/12, -28343/288, -5137/64, -1775/288, 
  4345/48, -1687/64, -61/32, -14695/576, 783/64, -415/24, 33/64, 1401/32, 
  -4091/1152, -207/4, -89615/1152, -1/4, 50749/2304, -3911/144, 88415/1152, 
  12715/192, 3041/288, 31673/384, 12187/576, 27931/1152, -6647/192, 823/96, 
  7027/192, 797/48, -427/12, -4731/128, 23/8, -31177/576, -18319/288, 
  15985/384, 13681/288, 2989/288, 20405/576, 1003/144, -20237/288, -527/16, 
  29563/128, -6745/24, 11813/48, 41857/96, -22433/24, -519/8, 2345/4, 613/16, 
  -20435/48, -115207/96, 21031/24, -22477/384, -16, 5473/32, -10297/48, 
  443/12, -16235/48, -9061/16, 31961/48, -189/8, -457/24, 235/12, 10103/48, 
  7033/48, -38963/48, 111967/384, 59659/48, 141668123/222720, 
  -58351253/668160, 265769/261, -54512841193/1302912, 301002773/11232, 
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  -120162431/33408, 103083596441/1302912, 112939/192, 241/8, 
  526587439217/15634944, 3101330357/180960, 94624869311/5790720, 
  130037656421/6514560, -63127/96, -5493512703/965120, -448085905/81432, 
  -2389/16, -1926455088017/32572800, -8464752096689/325728000, 
  79375962109/13029120, 4150321542053/651456000, 9/2, -572640773297/15634944, 
  1943/32, -96408399/4160, -15589958173/1158144, -4326496129/325728, 
  35613/64, 5945310283/965120, -455879292227/6514560, -227665/384, 
  2027336349017/32572800, -24923/384, 8228969718689/325728000, 
  -129083310163/13029120, -4342321496303/651456000, -39/2, -24123/32, 
  -8683/32, 17899/12, 101551/48, -22349/12, 11257/32, 41947/64, 19433/64, 
  449233/192, -93367/96, -101551/96, -3929417/2304, 22349/24, -212177/96, 
  3930761/2304, -179/4, 14481/64, 19433/64, -46709/768, 293669/96, -51703/96, 
  -101551/96, -5178521/2304, 22349/24, -213421/768, -211151/64, 5169881/2304, 
  4929/32, 127/4, -133/4, -14453/64, -1657/96, -1191899/1152, 1083245/9216, 
  -6115/8, -5085/16, 107417/256, 17689/16, -177895/768, -1367449/2304, 
  167479/1536, -109273/256, -1741367/9216, -213/8, -1921/4, 9677/64, 
  21929/256, 1779509/1152, -2510093/9216, 9305/12, 28165/24, -402931/768, 
  -37385/48, 25053/64, -9107/2304, 1802395/4608, 428339/768, -48513/1024, 37, 
  -335/8, 271/16, 66895/256, -14179/64, 8189/48, 5617/24, -223/8, 8555/96, 
  259/8, -315695/768, 113939/192, -558673/1152, -8539/96, 105187/1152, 
  -443/12, 253/6, 685/48, 16751/48, -4259/32, -26953/24, 443/12, -253/6, 
  181/16, -1635/8, 823/16, -3473/24, -5/3, 17/2, 17/2, -32339/288, -109/8, 
  -371/6, -1079/144, 781/24, 1539/8, 29/24, 85/4, -209183/256, 33527/288, 
  -419/12, -2575/96, -4267471686667/104232960, 2629/48, 17279/48, 
  -4319204260027/52116480, 6029/12, -48193/48, 2479/96, 
  4394085123487/52116480, -4507058293147/104232960, -225881/384, 
  -4393870143007/52116480, 865/24, 4373877569107/52116480, 
  4437840097867/104232960, 27/4, -4334537249647/52116480, -515/12, -15989/48, 
  -4390748107987/52116480, -751/12, 26491/24, -4374033918547/52116480, 
  8425/2304, 4381076429347/26058240, 4378542944107/26058240, 
  -4438807555267/104232960, -367/24, -4357006487347/52116480, 
  -4434976948747/104232960, 367/24, 4320331173347/34744320, -61/16, 2339/24, 
  4356039143047/26058240, 1927/48, 927/4, 4357397360947/52116480, 
  -4400527367347/52116480, -4342003169147/34744320, -4369609310827/26058240, 
  490246558563/3860480, -365597/768, 992405/1536, -133715/1152, -106067/384, 
  -183181/4608, 86243/192, 103817/144, -2605417/4608, -712795/3456, 
  187577/512, 97231/4608, -8147779/13824, -538681/1728, 17298635/13824, 
  11328053/3456, -22200349/4608, 18765119/27648, 8497879/27648, 
  16854167/13824, 47267363/13824, 6076655/3456, -154650649/497664, -72919/9, 
  -16443857/1536, 86680165/41472, 56713819/4608, 1604165/13824, 
  -14208947/27648, -20447795/13824, -78343391/27648, -6706063/4608, 
  -306869/1536, -677981/3072, 154215193/497664, 100516627/13824, 
  101423539/13824, -155746601/82944, -41373169/4608, -8211025/13824, -197/48, 
  -785005/6912, 1427767/6912, 90635/2304, 11429/288, -115/24, -58681/576, 
  -133/24, 11941/192, -21329/576, 479/72, 15859/288, 15635/384, 8867/192, 
  -4537/128, -16507/288, -11135/384, -31/64, 1621/2304, -2/3, 1445/288, 
  -365/16, 4727/288, 35/12, 3361/2, 5/12, -13/6, -5042/3, 5/4, -6, 
  -120103/144, 79/24, 431/72, 1823/144, 121027/144, 563/144, -47/16, 425/72, 
  -51/8, -10/3, 197/12, 17/3, -143/16, -34057/288, 871/12, 3583/48, -871/12, 
  12559/288, 34057/144, -4943/64, -13481/192, -34057/288, 893/288, -893/288, 
  -1157/288, -37747/288, -16717/576, -8465/192, -2039/288, 851/384, 
  34327/1152, -26111/1152, -19121/1152, -55/24, -11/24, -287/18, -15941/576, 
  6631/288, 15941/576, -2039/288, 287/9, 15545/1152, -15947/384, -287/18, 
  -197/576, -32525/1152, -19121/1152, -1651/576, -11/24, -85/576, 17465/768, 
  7/12, -3821/192, -27/8, -2, 28345/576, 13829/288, -539/192, -36911/576, 
  -15389/288, 1223/72, -21209/576, -2599/768, 17287/288, 90251/2304, 
  51641/384, 43595/576, -88703/1152, -17719/288, 22469/384, 22361/576, 
  2015/48, -539/192, -3143/64, -146/3, 4181/288, -22073/576, -2599/768, 
  13591/288, 90251/2304, 78469/1152, 42001/576, -2517/128, -13567/288, 
  4201/1152, -11861/576, 7909/288, 11645/144, 3827/144, -11941/192, 
  23057/1152, -2365/96, -21677/288, -2, -202/3, -6925/64, 4537/128, 
  22397/288, 11135/384, -22793/1152, -1799/96, 12181/576, 62413/1152, 
  2543/36, -5717/288, 22121/1152, -5647/768, -23177/288, 29/3, -4679/72, 
  -39847/288, 7013/1152, 21737/288, 4997/384, 293/36, 1547/288, -211/18, 
  -1295/288, 547/96, 6, -7/3, 12959/576, 911/288, -1205/64, 5/6, 2233/192, 
  -6265/144, -2737/144, 12725/288, 1243/96, 521/36, -5/2, -12673/288, 
  -395/36, 483/16, -5785/72, 120691/144, 29327/288, 1283/18, 6671/48, 
  -16507/144, 5503/32, 85/24, -97/24, -59/3, -481/48, 1741/48, 2315/16, 
  -593/144, 163/24, -2591/288, -673/6, -3995/8, -17/24, -120595/144, 
  60431/144, 11/12, 60419/36, -5/4, 13/8, 115181/288, -67/24, -17/144, 
  -2339/288, -121823/144, -4135/288, -247/32, -371/36, 5797/144, 2105/144, 
  60767/144, 553/48, -1061/144, -4597/288, 17/48, 29879/72, 17/24, -227/72, 
  -65/48, -364315/288, -3/2, 122059/288, 240515/288, -2/3, 457/36, -5/4, 
  -407/288, -343/36, 235/96, 242/3, -89/24, -21091/288, -889/12, -4303/24, 
  -60797/72, 16435/144, 13469/16, 63179/96, -4039/192, 1015/48, 751/64, 
  -4831/144, 6505/288, -10457/576, -893/576, -1565/288, 365/576, -41455/288, 
  23825/576, 19279/144, -23825/576, 2897/288, 41455/144, -23825/576, 
  -37313/288, -41455/288, -1589/576, -1229/144, 1589/576, 309/64, 14155/576, 
  -5207/48, -3331/64, -9919/144, 2039/288, -2479/128, 65957/1152, -499/576, 
  965/128, 679/128, 763/576, 11/8, -38659/576, -212393/2304, 146821/1152, 
  10895/192, 2, 47/8, -309/64, -3/8, 11/4, -11/4, -2253/32, -22267/2304, 
  -18641/2304, 2017/32, 175/96, -2267/48, 235/96, 79/16, -441/8, 243/32, 
  535/96, 707/96, 1829/288, 187/48, 1465/192, 35/144, -1309/192, 102905/768, 
  2971/96, 839/72, -751/24, -191/96, 407/72, 187/48, 163/192, 403/288, 
  -701/192, 25507/256, 2971/96, 1129/144, -751/24, -1199/96, 45/32, 385/16, 
  -1159/48, -73/2, 1152/5, 839/15, -839/15, -6707/30, 0, -691/120, -3689/60, 
  -201/40, 4867/20, 2347/40, -535/72, -535/72, -547/576, -6931/576, -35/144, 
  -1891/288, 1/2, -3/8, -941/4, -523/80, -221/72, 19/16, -481/72, -1981/144, 
  -132739/576, -4801/20, 1961/144, 653137/2880, 234, -117, 0, 117, 1963/576, 
  27809/1152, -8347/576, -24929/1152, -3283/1152, 133/24, -13187/576, -13/8, 
  -4841/576, -503/128, -5783/1152, 27809/1152, -26369/576, 24929/1152, 
  -2297/96, -305/96, 1621/96, -967/16, -5155/1152, 5155/1152, -1177/48, 
  -929/1152, -75/32, -1013/96, 151/6, 18439/288, 19001/1152, 13/16, -307/16, 
  -883/18, -817/24, -44203/1152, 1261/96, 3297/128, 2557/96, -409/192, 25/96, 
  307/96, 19/48, -113/96, -259/32, 85/24, -89/48, 457/96, 443/32, -29/6, 
  -547/96, 163/96, -697/48, -23/48, 23/4, 3/2, 45/4, -13/2, 3/4, 19/3, 3/2, 
  -14281/108, 98803/432, -84505/864, 85/24, -85/24, -983/72, -357/32, 
  2225/72, 6835/96, -187/24, 449/24, -123655/288, 3/2, -61445/144, -30517/72, 
  30289/72, 3419/8, 130/9, -2, 13/4, -15/2, -103/48, 30517/72, 3/2, -37/36, 
  3/4, -47/6, -130/9, -3/2, -43/24, 30517/36, -29/6, 67/6, 26, -17/48, 
  -30665/72, 17/48, 37/36, -17/24, -10519/12, 59431/72, 33/2, 260/9, 
  12113/144, -14551/144, 14489/288, -16529/480, -121865/576, -63779/144, 
  -19/4, -433/36, -5/8, 200/9, 515/72, -367/36, -13/9, 43/2, 13/6, 38309/288, 
  -39505/288, -165/16, 9/4, -12571/72, -237/16, 167/18, -917/72, 95/18, 
  -421/72, 3559/144, -133/48, 18071/576, 2123/72, 281/96, 41/48, -175/8, 
  -4045/144, -1/4, 17/12, -13/6, 4/3, 437/192, 2957/32, -6425/64, -1/6, -2/3, 
  9/8, -3/4, 3/4, -2753/1152, -1145/1152, -3/4, -65/6, 27827/144, 1/8, 
  -79/12, 74/9, -80149/288, 641/72, 8851/96, 157/48, -2877983/7392, 
  -447337/4032, -5713/288, -18485/288, -26929/792, 1787/504, 809/8, 
  -26449/2016, -31, -456769/22176, 13974605/22176, 39101/576, 175893/2464, 
  3181691/14784, 41417/224, 4747363/22176, -3077/48, 44675/264, 1/12, 
  841441/2016, 46769/4032, 3649/96, -44463/224, 595/288, 2153/96, 
  -21062911/22176, 165845/4032, -1329/16, 7183039/11088, 3217/32, 211/32, 
  287/8, -3377/32, -649/24, 9/4, 32965/288, 3467/72, 67/16, -10003/72, 
  -3467/72, -335/16, 2341/96, 85/6, 6, -3105/16, -795/16, 4567/96, 3499/32, 
  -1957/48, -1/32, 779/8, -27053/288, -531/32, -1483/16, 47/6, 24757/288, 
  -719/96, -539/144, 32513/144, 11641/576, -3271/24, -2119/16, -12775/288, 
  -161/72, 13177/288, -143/8, 3781/96, -1249/32, 293/4, -7045/144, -801/16, 
  2893/36, -79/36, -9/16, -435707/1728, 9/16, 1, 3497/288, -1, 161/8, 
  12977/144, 3419/144, -111/4, -18617/144, -3419/144, 755/72, 469/12, 
  -115/36, -681/8, -12467/72, -93/4, 7891/72, 1981/16, -955/24, 1881/16, 
  705/8, -27041/288, -1749/32, -1651/9, -101/32, 12985/72, 1153/288, -589/72, 
  8821/24, 10241/576, -49897/288, -5763/32, -5093/96, 2893/288, 7507/144, 
  -3/4, 281/8, 1079/144, 23/12, -7013/144, -1079/144, -3, 1943/144, 3/2, 
  -403/24, -7949/72, -51/2, -53/4, 3095/48, 413/24, 2951/48, 711/8, 
  -9665/288, -1741/32, 467/48, 4535/288, 1441/144, -423/32, -151/36, 
  13049/72, 14585/576, -53213/288, -18307/96, -1501/96, 239/72, 1813/36, 
  -355/48, 1019/48, -13, -467/16, 16175/288, 1795/72, 379/96, 167/24, -13/18, 
  -943/48, -12623/288, 879/32, -532229/6912, -139/96, 1550185/6912, -181/24, 
  -353/24, 7/4, 571469/3456, 1/2, -1347625/3456, 103/24, 1481/288, 205/48, 
  -29/48, -7/4, -413861/10368, -405149/2304, -152999/2304, 413861/10368, 
  133783/384, 151271/2304, -395245/2304, -1494889/6912, 1770419/20736, 
  -155/24, 5296645/6912, -266101/3456, -958423/1728, 1646953/6912, -917/48, 
  -1710751/5184, -173/8, 18071/576, 22723/6912, 44029/128, -363497/5184, 
  2079775/3456, 1559137/5184, -409397/2304, -223625/3456, -3/2, -442133/6912, 
  -415373/10368, 5/2, 136247/1152, 424229/10368, -1/16, -351301/6912, -15/16, 
  15/2, 1673219/20736, -155/24, 306041/3456, -271897/3456, -384853/3456, 
  1511305/6912, -917/48, -1533775/5184, -173/8, -394493/2304, -410981/6912, 
  19511/576, 1118975/2304, 871037/6912, 617/96, 1783681/6912, -364307/5184, 
  147691/576, 1409593/5184, -374549/2304, -21/8, -15/4, -495101/3456, 5/2, 
  -14/3, -157/12, 133/12, 157/12, -77/12, 179/48, -157/6, 1147/32, 40405/288, 
  -4103/32, -11687/96, 14/3, 301/24, -43/3, -415/24, 263/24, 169/48, 293/144, 
  11/24, -27/8, 65/144, 1/8, -47/12, 227/48, 367/96, -42023/288, 27641/144, 
  -35/48, 89/48, -93/8, -1/2, 1/16, 39/4, 19/8, 20803/72, 4043/8, -61/6, 
  -29341/48, -4043/8, 163/6, 46417/144, -473/24, -1979/144, -25057/36, 
  -4023/16, 11569/72, 276505/288, -49037/288, -30077/288, 26549/96, 
  -22493/144, 11249/96, -169157/576, -33007/32, 128831/288, 368341/288, 
  -97117/576, 305575/576, 148565/192, -51551/48, 17477/32, -465503/576, 3/2, 
  -9/2, -6, 11, 6, -13/2, -21/16, -20803/144, -4043/16, -13/16, 43495/288, 
  69/16, 809/144, 26333/96, -18907/288, 11687/96, 6, 11/3, -22/3, 23/24, 
  7/24, 20131/144, 33499/64, -14753/96, -25619/96, 4/3, 17/8, -151723/576, 
  -1/8, -25/32, 8771/288, -8771/288, 59/32, -81/32, -39365/1152, 125/16, -2, 
  -499/96, 18635/384, -54427/1152, -4801/96, -325/1152, 557/64, -557/64, 
  -557/192, -1/2, -5/12, 17/12, 1/2, -45/32, -23759/1728, 295/288, 
  -34997/3456, 2759/864, 28/3, -13/6, -491/96, -5/12, 7/3, -1/2, -1303/128, 
  -33595/1728, -275/192, -557/192, -1/4, -119/144, -1/4, -1/8, -979/576, 
  -31/64, 25663/384, -15/32, 1/24, 115/288, 1/48, -1799/576, -3/64, -1/8, 
  11/2, 19091/192, 3/64, -5457/128, 511/96, 1/48, 335/96, 31/64, -7/16, 
  -2551/48, -115/24, 7/16, 1/16, -1/8, 1/4, 1/8, -1/4, -1/4, 1/24, 1/4, 
  -1/24, -3/32, -15/16, 59/96, -17/72, -10573/1152, 65/48, -3/32, 31/64, 
  -1/32, 233/192, 17/72, 3/16, 1/16, 3/32, -17/64, 1291/288, -1211/192, 
  10877/1152, -1/32, 25/64, -695/144, 1/16, 77/64, 3799/576, 7/24, -2029/48, 
  143/12, 1/8, 78491/1200, -1/4, 3211/48, -14431/576, -1/8, -236189/1800, 
  1/4, -1663/72, -5005/576, 2637/40, 2963/144, -5365437533/534528, 
  -12600282317/890880, 10804897247/445440, 1099/8, -4417588541/534528, 
  10468133023/1781760, 2863/12, -464981/64, -22731/8, 45/4, -12139601/10440, 
  -169510327939/5345280, 4977871325/534528, -1562476027/267264, 804755/192, 
  571657439/296960, 22546406621/1781760, -4638910931/1781760, 
  -459564319/296960, -1/8, 283/48, 3745/144, 1441/96, -521/576, 21/64, 
  6373/576, 9/32, 3/8, 6419/288, -31655/768, 1645/576, 25709/1152, 
  25751/2304, -7/24, 6991/288, -1147/288, 1/24, 875/288, -17437/2304, 
  -159281/2304, 20687/2304, 23065/2304, 163/32, -2125/288, -81971/2304, 
  -9455/2304, 34/9, 26/3, -2087/72, -41/8, -31/2, -637/48, 1/2, 187/72, 1, 
  49/24, -26957/288, 17/72, -18547/192, -65/48, -1/12, -47/144, -25/12, 
  91/72, 1/4, -275/24, -17735/192, -31/72, 60445/576, -679/48, -1/24, 27/8, 
  -97/144, 19/24, 5509/48, 26, -97/24, 79/12, 1/8, -37/36, 72911/1152, 
  -311/64, -161/576, 57049/576, -27275/384, -3/64, -53959/576, -41/96, 1/3, 
  469/72, 2131/256, 661/576, -55/18, 38023/2304, -7/24, -929/288, -1015/288, 
  1/24, 839/288, -2539/2304, -11951/768, 33727/2304, 250117/2304, -643/96, 
  -1783/288, 6937/768, -27455/2304, 125/72, 41/9, 2929/72, 7/24, -1177/72, 
  319/48, -1/8, -79/144, 36577/576, -327/64, 1/12, 34637/1152, -33623/576, 
  -35/32, -253/16, 397/96, 3/8, 1229/144, 5369/768, -1489/192, -6539/256, 
  -469/64, -7/24, -773/288, 323/192, 1/24, 1199/288, -19153/2304, 
  -77953/2304, -3667/576, -20627/384, 14/3, -10087/576, 2377/144, 59183/2304, 
  817/64, 9139/2304, 163475/2304, 99/16, -20875/2304, -11/6, 359/128, 
  16391/4608, -671/36, 121/128, 2617/4608, 671/36, -107/16, 1/8, -1/4, -1/8, 
  1/4, 55/48, -593093/9216, 62765/1024, 3503/576, -13/2, 61085/1024, 
  2377/576, -14/3, -479/288, -254747/9216, 226697/9216, 210511/2304, 55/48, 
  3/8, -11725/1152, -83/48, -229/96, 13153/1152, 571/96, -13/2, 535781/9216, 
  99/8, -4069/384, -14/3, -479/288, -216607/1024, -36113/1152, 371/48, 
  -3071/1152, -1447/576, 437/96, 23/4, 115381/9216, 210511/2304, -3407/432, 
  14213/1728, -2017/108, 3407/432, -9821/1728, 4907/216, -257/24, -47/8, 1/4, 
  -1/24, -1/4, 1/24, 109/144, 1/16, -245/576, 485/96, -1871/576, -317/32, 
  39137/288, -74791/576, -267/2, -1895/288, -49565/72, 107443/96, -3069/32, 
  1121123/576, -14029/96, -567/128, -3, -21/8, 967/128, -307/96, 6191/48, 
  3/2, -50285/384, 15/16, -35445/128, 325/96, -47/8, 35873/128, 221/32, 
  -6191/16, 12467/24, 1434457/1152, 253/48, -45/16, 19/8, -1537/48, -61/3, 
  -9791/144, -9817/576, 1, -617/32, 5069/96, 20387/576, -1/8, 1/12, -1511/48, 
  1/4, -41/16, 11/12, 141/4, 7567/288, -2, -409/48, 13/12, 1/4, -509/48, 1, 
  -487/48, 34/3, -235/24, 1587/64, 79/16, 463/48, 187/24, -2, -17/48, -64/3, 
  -4697/192, 1/8, -1/6, 17/48, -1/4, 4, 10, -13/6, -2, 5/8, 287/288, -155/48, 
  3/16, -1547/288, -37115/2304, -9167/2304, 4715/1152, -2149/384, -71/32, 
  -19/96, -61/16, 2225/288, -1697/128, -4927/1152, 241/96, -149/288, -67/24, 
  -53/48, 1153/288, -1783/1152, -53/32, 3011/576, -51569/2304, -83789/2304, 
  -1475/288, -1117/256, 4197/256, -191/288, 1477/576, 1/2, -727/288, 
  -2461/576, -131/144, -131/12, -57/16, 1, -1685/768, 3449/576, -123/32, 
  1145/192, 655/96, 411/64, 125/48, -379/96, -10537/576, -5243/384, 1/32, 
  -1145/288, 193/32, -1/16, 131/144, 1967/144, 191/32, 5585/2304, -5509/768, 
  -545/128, -1181/192, -4449/256, 857/96, 1627/576, -395/144, -415/64, 
  -5869/2304, 2465/256, 261/64, 971/288, 17833/1152, -17549/576, -2347/1152, 
  -243077/2304, 784003/6912, -504113/4608, 732067/13824, -798157/18432, 
  383/96, -392045/18432, 349/32, 265159/4608, -251/48, -5/2, -865/2304, 
  -355159/4608, 87509/4608, -3/8, 31/8, 13/2, 929/576, 173/32, -43183/2304, 
  -29237/2304, 3695/1152, 428/9, 108811/576, -13/2, -95369/1152, 3517/576, 
  74705/1152, -104615/2304, -1363/48, -8707/16, -209527/384, 877/1152, 
  -51893/1152, 1171/24, 36273/128, 521/48, 120941/768, -18103/256, -2657/768, 
  70185/256, 703/24, -209/36, -204889/2304, 54539/1152, -2076823/4608, 
  -65293/1152, 15649/96, 15385/2304, 159539/4608, -4887/32, -139/32, 
  1303/192, -2921/48, -61/96, -96977/1152, -6241/288, -6241/192, 131609/3456, 
  -43951/1728, -2098639/6912, -1534993/6912, 6049/192, -83297/1728, 
  13543/192, 2113399/6912, 58283/3456, -155107/3072, 3066115/27648, 773/64, 
  7027/576, -1, 4846757/13824, 100595/864, -7603/576, -8523551/27648, 
  164011/1536, -1187/288, -3/2, -695827/13824, 437/192, -133/96, 
  1288375/6912, 1/16, 88819/1728, 4049/216, -1521379/6912, -2011/1152, 
  -7499/864, 11/2, -471785/9216, -1676855/9216, 7177/288, -163/48, 
  -2496925/6912, 2901617/9216, 1627/144, 17/6, -39299/1536, -719/144, 
  -60023/1728, 25/96, -971/288, -1735/108, 170065/768, 3875/576, 1111/576, 
  -1904683/13824, -577/576, -191/96, 1293271/6912, 1/16, -18697/1152, 
  720491/3456, 9703/288, 91567/1728, 38299/1728, -1520371/6912, 19637/576, 
  -43571/1152, -5321/864, -1109/1152, 135/8, 556445/3456, -31/3, 
  -645625/9216, -1778743/9216, 6889/288, 187349/2304, -800113/3456, 
  3025025/9216, -642547/6912, 496609/4608, -20561/512, -935/144, 
  -1162091/13824, 25/96, 19/16, 791777/5184, 3155/576, -143/48, 329671/6912, 
  1340899/10368, 87/16, -11515/576, -5/8, 2053/144, 53551/384, 9859/288, 
  -11977/1728, 129941/10368, -1241/96, 20665/1152, -50675/1152, -212959/1728, 
  -1205/1152, -7085/864, -5273/162, 2137/192, 85/48, 2346667/27648, 
  -8629/864, -7929427/20736, 1185931/9216, -1025545/6912, -32191/1728, 
  -18065/512, -1/4, -2503633/13824, -1/4, 4651/768, -461/96, -38017/2304, 
  111/32, -1385/96, -665/32, -529205/4608, 1439/48, 353525/4608, -111/32, 
  445/32, -3623/144, 45/8, -18161/256, -111/32, 12955/576, -19739/1152, 
  403643/4608, 661/32, -20853/128, -371/12, -216083/576, -6347/576, 
  564757/1152, 18513/128, -277603/576, -1/8, 655813/9216, 30827/2304, 311/48, 
  3960499/20736, 6083/192, 1766683/6912, 495701/4608, -305/24, 
  -10919423/110592, -47033/576, -1766683/6912, 197/16, 2081/36, -1/12, 
  1265/576, -32646139/82944, 30595/576, 243775/432, -1751515/4608, 
  12390143/110592, 32797/576, -2963453/110592, -10081/144, -4307/576, 
  -6067079/6912, -115591/1536, 9694735/36864, 130783/288, -580421/9216, 
  709/576, -39/32, 7/12, -571381/9216, -198619/768, 2135/144, 206335/1536, 
  209143/768, 1/4, 170455/3072, -17041/576, -2531/96, 670333/4608, 6157/144, 
  -201871/768, 917/144, 115/4, -109/3, 71/24, 3581119/6144, 12973709/41472, 
  159905/2304, -682625/4608, 796669/3456, -1749211/4608, -3855019/13824, 
  -20119/1536, 36406019/110592, 46787/4608, 147835/864, -2718563/6912, 
  -116743/1536, -8840915/110592, 130855/288, 5/8, 91/24, -259/48, 7/12, -5/8, 
  -65437/256, 1015/288, -39/4, 203479/768, 1/2, 513605/9216, -29113/576, 
  -2531/96, 656653/4608, 3353/72, -206911/768, 17/48, 115/4, -859/24, 71/24, 
  1933079/6144, 13808225/41472, 149609/2304, 323841/1024, 814825/3456, 
  -612317/1536, -549739/13824, -27895/1536, 13940387/110592, 9923/4608, 
  -16705939/27648, -2776703/6912, 1965287/4608, 13662541/110592, -15173/576, 
  2777/144, -215/96, -317/24, 1313/72, -13757/288, 1573/144, -439/9, 
  -6467/72, 1339/48, -2885/144, -1733/288, 329/18, -260935/288, 432541/1440, 
  -912371/5760, 97/24, 30677/144, -258679/360, -313/288, 1/8, 5557201/2880, 
  -17/144, -32884831/43200, -4373/288, -2204261/172800, -1/16, 563323/1920, 
  -3482297/11520, 954325/3456, -253259/1920, 1/12, -616299/320, 
  28929031/43200, 6970391/172800, -637/32, -954445/3456, 943/96, -76207/576, 
  -4123/192, 1051/96, -1573/72, 108179/288, -4873451/8640, -636257/360, 
  -1375/144, 393397/1080, -6189389/17280, -83/48, 1125773/17280, 227/96, 
  217843/1920, 1251631/5760, 678897/320, -3956429/11520, -5118077/34560, 
  -1070513/17280, -486413/2880, -2472571/5760, 1192297/2304, 145739/1920, 
  -1148983/576, 13269863/8640, 1147297/480, 2609363/3600, -13059/160, 
  6802991/172800, -202579/960, -85309/576, -75793/576, 5233/576, -1889/72, 
  1749599/2880, -634997/360, -1333/288, 1305937/5760, -38/9, -325/18, 
  -2319977/5760, 676897/320, 1477/18, -5408851/11520, -7967/288, 
  -1423729/5760, -2423971/5760, 4735297/11520, 196739/1920, 1925/72, 
  -1082099/2880, 1990703/480, 987/32, -502231/1920, -541/18, 4224733/5760, 
  -2772967/720, 1595737/11520, 1821091/1440, -67619/288, -7343927/2880, 
  -18109/144, 83077/40, 24515/144, 33/64, -18373/768, 7973/576, -877/16, 
  379/48, 1039/48, 2873/96, 5729/144, 3625/576, 151217/2304, -18703/768, 
  2453/384, 336457/2304, -593/1152, -35027/288, -124913/2304, 2077/576, 
  -108869/1152, 1555/64, 70331/2304, -185015/2304, -13631/192, -49/4, 
  -115/288, 28189/768, 22021/2304, 86285/2304, -66853/1152, 32883/256, 
  -65/24, -110717/768, 33079/288, 7261/256, 3965/384, -3/16, 50435/768, 
  7163/384, 899/24, -12569/192, -515/576, -506833/2304, -25681/576, 335/32, 
  -102967/1152, -13967/576, 38285/576, -337/48, -3307/96, 97135/2304, 
  -38711/768, -6389/1152, 150997/2304, -1639/288, 16703/288, -11227/576, 
  1507/1152, -541/9, -8593/576, 42287/2304, 139/18, 12085/576, 625/48, 
  15205/576, 39991/576, 13883/576, -569/192, -14377/144, -266573/6912, 
  -36637/576, 1271/24, 11695/384, -89/16, -122993/2304, -67099/1152, 
  11483/768, 106841/288, 317921/1152, -12719/384, 79709/2304, -12743/768, 
  -81221/384, 217/48, -311635/2304, -775/576, -14651/2304, -625559/2304, 
  26909/768, -361/96, 262303/2304, -208627/2304, 700061/1536, -1915/96, 
  -745/4, 27089/1152, -123955/4608, 48461/288, 1667/96, 3/8, 18091/576, 
  5621/288, -137/192, 13/8, -671/12, -3673/576, -51/16, 1501/48, 3/16, 
  -3121/192, -43357/768, 4475/768, 269/6, 431/9, -1585/48, 5703/256, 
  -2061/256, -23767/576, 217/48, -429/32, 2347/192, -51961/2304, 229/12, 
  -5999/288, -7/6, 110401/2304, -69037/1152, 399715/864, -24313/384, -623/24, 
  -2715/256, -7109/288, 124487/1152, 965/64, 9911/48, 40363/48, -75025/24, 
  -7931/8, -7931/16, -26832340037/2895360, 697875767/334080, 
  -128438953921/4343040, -71544515231/1447680, -306373/96, -815/8, 
  -39175357/6960, 443371199/33408, -460446893/41760, -114251/96, 
  231707123/41760, -410574584651/6514560, -217453/96, 231805795339/3257280, 
  234643/192, -5/4, 18087/16, 170154673/27840, -399836611/33408, 5407/16, 
  5448279299/361920, 60237738539/1302912, 317377/96, 596514176749/13029120, 
  798733/384, 1097/8, -2931/8, 20189/16, -71729/64, 1097/4, -19051/8, 
  82207/24, -344, -15409/3, -7, 815/8, -14925/32, 1985/32, 50599/96, 
  23291/24, -32233/24, -499451/192, 59827/16, 165903/32, -20737/48, 
  -447505/192, 3658805/2304, -427/24, -643/24, -3/8, -315/32, -1085/8, 
  7469/16, -66413/64, 50599/96, 9271/256, -4347/8, 337633/96, -499451/192, 
  -109987/384, -64621/24, 165903/32, 130171/384, -20737/48, -6167/64, 
  -11051/64, -535339/192, 108133/96, 5574629/2304, -128171/384, 73489/576, 
  206849/576, -4941/16, 387/32, 144119/96, 144015/16, 89517/8, 4025/48, 
  32911/32, -132083/96, -1097/8, 147647/96, -1454741/192, -276, -106841/12, 
  425, -443/12, -1433/24, -33151/32, 131045/96, 22897/48, -41345/96, 
  742141/96, 10199/48, 1048805/96, 44765/12, -433/72, 1109/48, -2453/96, 
  -329/48, 1133/48, -149/32, -4355163952627/52116480, -1195/12, 
  4353344354587/26058240, -18913/24, -25187/96, -42317/48, -94337/384, 
  -58989/32, -6779/3, 4355232355507/52116480, -575/16, 1967/96, 
  -4365544180147/17372160, 4333902871747/34744320, 4386036927487/26058240, 
  -1/16, 58309/288, -4416585576787/26058240, 69/16, 65690467/55296, 8927/864, 
  70092319/55296, 83823581/55296, 23201/16, -8317525/13824, -11047225/13824, 
  -2658377/1728, 4981895/27648, 127803899/27648, 150351941/27648, 
  14600557/110592, -11785603/1152, 17001355/36864, -382907/96, -7/8, -921/16, 
  7441145/13824, -34456357/27648, 663/4, -33779/576, 339404881/110592, 
  1993/48, -443852395/110592, 110101/32, 413/16, 40103/96, 94487/144, 5/12, 
  -10567/432, -2641319/2880, -94295/144, -5567/432, 1444409/2880, 443/36, 
  -1243067/2880, -42185/64, 6480559/7200, -9919549/28800, -7260019/14400, 
  979063/2880, 799343/1440, 15213419/28800, 9773/135, -230035/576, 
  -786367/576, 127313/576, -1012519/384, 4103/96, -22054727/2880, 
  33091663/5760, 407891/90, -571373/192, -2846497/288, -15937/192, 
  -114055/192, 965/144, 43/8, -377/8, -162169/1152, -9/4, -517/32, 
  326093/2304, 159361/1152, 145/16, -221117/2304, -89/32, -143/4, 34511/1152, 
  -109/16, 45319/288, -46105/288, 10879/2304, 903/16, 271/8, -19303/128, 
  -417/16, -599/288, 30823/192, 20515/288, -385/8, -679/288, -147/16, 
  -290153/1728, 169/48, -1667/288, 15/2, 1667/288, 193/48, -549/32, 719/96, 
  181/96, -1753/48, -2011/144, -493/48, 117775/1152, 53683/1152, -3985/288, 
  164251/2304, 5549/144, -42793/1152, -246373/2304, -7827/256, 141935/2304, 
  -710783/13824, 2499301/20736, 253/192, -24049/768, -915763/20736, 
  -275549/1152, 1537133/13824, 591521/768, -7204349/20736, 35879/2304, 
  -3321901/13824, -81439/6912, 4365595/6912, 3757/72, 2891629/20736, 
  -350483/2304, 2220749/20736, -2752093/20736, -1667297/13824, -4378483/6912, 
  -197083/256, 42089/2304, 2019839/13824, 1234423/20736, 253/192, 191027/768, 
  -689999/3456, -502759/20736, -2375045/2304, 429679/4608, 591329/768, 
  1262617/6912, -1684739/20736, 52903/2304, -2788015/3456, -100315/6912, 
  4315427/6912, -1502989/6912, 1243/18, 2202973/20736, 1/18, 9009425/20736, 
  -365891/2304, 53027/6912, 82873/1152, -1/2, -14717975/41472, 1496765/20736, 
  48797/1728, -2182381/20736, -533839/2304, -1663841/13824, 1, -4570879/6912, 
  -197083/256, 30569/2304, 1027619/4608, 1210879/20736, 253/192, 669745/2304, 
  -73233/256, -403615/20736, -273989/256, 135349/1536, 198963/256, -1187/48, 
  -1597763/20736, 52903/2304, -4180429/6912, -48931/6912, 4101059/6912, 
  -1364269/6912, 1243/18, 1738861/20736, 1/18, -7526527/13824, 4210825/10368, 
  -372851/2304, 5980577/13824, 19565/144, 105955/1152, -23983859/41472, 
  1185365/20736, 772709/6912, -1591261/20736, -9672571/13824, -2248205/13824, 
  -367933/2304, -38159/54, -408601/576, 41/8, 97/6, -259/24, -97/6, 16/3, 
  -109/48, 15661/40, 77797/192, -65/144, -2177041/4800, 721/32, -258413/720, 
  -31131/80, 2284691/4800, -74693/960, 2273/48, -2867/288, 1215959/576, 
  -5761/144, 55159/576, -1619/288, -148153/720, 2605727/576, 3095173/14400, 
  -3665039/480, -21935/48, -1022587/576, -1243/72, -243965/36, -1273/72, 
  67/6, -13807/576, -3032897/2880, 24413/96, -1093/216, -3757/576, 
  8237809/5760, 8093/432, 14287/576, -1787/144, -5371/48, -32293/144, 971/96, 
  -5508709/5760, 496999/14400, -7541/576, 7381/960, 1139/108, -1429/576, 
  1007143/360, -1102919/288, -16865/576, -12567329/5760, -16255/288, 
  19291/144, 2504939/1440, -4963349/5760, -77851/576, -2608487/2880, 
  512749/48, 51229/576, 12536447/2880, 821/144, 31/6, 10357/32, 1636/3, 
  -25/12, -403/36, -211715/288, -4343/8, 857/96, 58969/144, -81/32, 
  -21667/72, -130493/144, 11227/36, 198703/288, 18263/18, -111491/288, 
  40799/144, 21265/36, -107425/288, 165/16, -5659/18, 877609/360, -64165/48, 
  29873/144, -878597/180, -3667/288, -1038361/120, -10243837/1440, 
  1160231/240, 2153537/240, -116017/30, 63647/72, 715/144, 2775493/720, 
  893/72, 1165/96, 197/72, -5/2, -979/36, 11/36, 1405/96, 67/48, -21731/72, 
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  145/16, -2353/72, -5941/144, -307357/144, -3937/144, -26123/288, 2083/72, 
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  1403/96, -10865/96, -13991/576, 38303/1152, 74765/576, 51/4, -17/4, 
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  745/16, -15655/576, -4363/384, 93541/3456, 7297/576, 2537/576, -27/4, 
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  17939/288, 89689/2304, 383/16, 13, -12071/128, -137/16, 4421/144, 9859/192, 
  39091/576, 2645/192, 37/16, -11119/192, -20827/384, -29701/384, 15409/576, 
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  -1923103/9216, -2063/192, 33/32, 579697/2304, 2015/96, -739685/2304, 
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  143561/9216, -236/9, 807737/9216, -43399/3072, 495103/6144, -41/16, 
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  -399319/2304, -617643/2048, -256445/18432, 4825/576, -713221/6144, 
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  2798053/4608, 816551/2304, -627773/2304, 66341/256, 137/8, -79429/256, 
  -127/48, -1570187/9216, 77113729/165888, 17609/288, -1445875/9216, 
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  842101/2304, 714457/2048, 5434271/3456, -1805483/2304, -333229/384, 
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  -33373/1152, -43/16, 199799/768, 79/48, 575285/4608, -659591/2304, -415/96, 
  698869/4608, 803207/2304, -65525/256, 64869/256, 137/8, -237823/768, 
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  -5663807/8640, 2309/144, -329/12, 1/4, 85/36, -73/8, 2267/72, 284827/960, 
  -434803/4320, 47101937/11520, -9301/216, -2500693/21600, 2358205/1728, 
  23185/432, -133383343/172800, 859/36, 16079/144, 1740527/8640, 
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  -33379/144, 273055/1152, 4715/216, -291247/960, 37810021/8640, 
  77610131/11520, 38627171/43200, -68611447/17280, 100771537/172800, 
  -7403785/1728, -32848913/2880, 133225/48, 1663301/2880, 152663/2304, 
  -1414811/9216, 2418547/10368, 551/96, -2242307/6912, -229867/3072, 
  -2324731/10368, 6725735/6912, 504943/2304, -4996249/6912, 646991/5760, 
  -185017177/207360, -6579541/5760, 635377897/691200, 255336281/345600, 
  -10143781/13824, -97519/180, 12834283/11520, 169329007/1036800, 
  733309/1920, -23/3, 995/24, 9, 173/12, -395/24, -85/12, 133/16, 
  782599/5760, -814607/720, -1027/72, 6731767/19200, 3805/288, -1089559/5760, 
  765081/640, -7560167/19200, -470813/5760, 29/3, -4891/72, 1/4, -75/8, 85/2, 
  -83/24, -878039/5760, 4000151/2160, 7954499/57600, -21646129/17280, 463/18, 
  -73/8, 17/8, -501655/432, 1/8, -1/16, 3/16, 37/16, 21/4, -1/2, 253/192, 
  -535/192, 1/8, -9/16, -37/6, -19/48, 11717/864, 44605/1728, -1/48, 11/8, 
  -7/144, -14747/864, 1/24, 1/48, 1/16, 7/48, -89/48, -45/16, 799/108, 
  -25571/432, -14675/864, -3/16, 13/24, 43/16, -563/432, -85445/1728, 7/48, 
  -3/16, 523/432, -1/48, -1/3, -11/24, 3/8, 4157/96, 2315/864, 1/6, 11/24, 
  -715351/5184, 1/6, 1/4, 3/4, -599/32, -8161/288, -1025/288, -21/4, 11/12, 
  5629/96, 29335/576, 2533/144, -9/4, -6151/144, -1795/288, -119/32, 37/12, 
  47/16, -2, 1141/96, -1003/576, 67/12, -787/48, -383/144, -869/192, 172/9, 
  -3659/48, -931/288, 7/4, -77/16, 1/4, 355/96, -3355/576, 22709/288, -1/2, 
  -41/48, -929/96, 0, 1799/96, -1967/96, -2225/144, 45/8, -5353/144, 1089/64, 
  -43/3, 103/6, 4315/288, -99/16, 185/16, 49883/504, 4249/144, -469367/4032, 
  -44063/576, 923/288, -1357/96, -8435/288, 893/288, 569/48, 4099/96, 
  3643/192, -1/2, 307/192, -293/24, -3/8, -11221/576, -503/18, 1675/288, 
  -14317/576, -45/8, -331/48, -15/4, 53/12, 83/4, -5/4, 7/4, 179/12, -83/4, 
  2, 5/16, -58/3, -13/16, 27/16, 1/16, 241/12, -103/8, -215/24, -4111/72, 
  123/8, -233/24, 5977/144, 95/36, -71/12, 163/24, 160/3, 48, -5879/144, 
  -77/12, -93/2, 19/4, 191/18, -15, 47/8, -67/3, 15, 5/72, 145/9, 27/8, 
  -281/12, -11/12, 1213/48, 773/36, -116/9, 199/12, -7/3, 7/48, 251/24, 
  -79/9, -17/8, 269/72, 17/8, -13/8, 83/12, 1/8, 763/96, 575/144, 
  628517/13824, -40955/648, -67/144, 23/16, 46605/512, 1175989/10368, 
  1003/144, -589/192, -1309367/6912, -727853/10368, 265/192, 453637/6912, 
  -1/16, 4593065/20736, -22/9, 572573/13824, -8946851/20736, 71/12, 
  494807/3456, 233347/1728, -394021/6912, 35/96, -1633/144, 4717697/20736, 
  -259/16, -1558729/10368, -5/48, -2047/144, 646309/13824, -41635469/124416, 
  321293/10368, -405541/2304, -2846317/41472, -4621/288, 1866047/3456, 
  -228481/6912, 2107/192, 6613081/82944, -595921/20736, 869/288, 
  2657453/4608, -620405/10368, 370465/3456, -737923/10368, 637/144, 
  1054021/10368, 1747/144, -2464463/13824, -5486417/5184, 1000951/3456, 
  121/48, -575/96, 14313949/27648, 53/72, -387013/6912, 3661/108, 268843/432, 
  133/32, -20/3, -1/4, 9/2, 157/12, -253/24, -157/12, 151/24, 10505/72, 
  4217/16, -11/4, -133/24, -11243/32, -8559/32, 721/192, 58291/288, 71/192, 
  451/32, 71/12, 5489/576, 12415/48, -45461/576, -35/96, -4, 12379/96, 5/48, 
  1/4, -1/12, 73/24, 149/48, -229/48, -73/16, 25/16, -86293/576, -100957/192, 
  -3365/192, 7631/32, 255545/576, -79031/576, 18685/144, 24761/96, 
  -28355/144, 2387/96, 1/6, -1/8, 91/48, 1/8, -83/24, 16691/64, 1053/64, 
  -144995/576, -17203/64, -1/8, 3, -1/2, -1, -3/4, 13/6, 5/6, 13/12, -103/24, 
  1/6, 0, 21/8, 0, -1/8, 37/24, 23/12, -59/96, -16601/1728, 931/144, 1105/96, 
  5327/3456, 2429/1728, 3/8, -5/3, -11/12, 281/32, -547/96, -6791/1728, 
  -7/24, 5/8, -1181/288, 1/24, 1/2, 7/4, -9/4, 21/8, 59/12, -35/8, -11/4, 
  -5/4, -27/8, -13945/1152, -41/6, -2549/128, 25/12, 13/8, -707/384, -4/3, 
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  -1481/1152, -3/8, -1/8, -23/12, 391/64, -1141/192, 1/24, 1069/288, 41/16, 
  1/16, -2543/432, 905/192, 7/48, -127/48, -1/12, 416371/21600, -1/8, 31/16, 
  1/16, 42265/864, 444995/24192, -47/32, 6791/864, -3601/144, 321/32, -5/24, 
  -131399/1728, -455683/87360, 23803/2400, 1106663/43200, 7/48, 32077/1728, 
  -898081/21600, 1/16, -1633/432, -587/12096, -3853/576, 122611/3456, 
  -16219/1152, -367/2160, 19979191/786240, -2482843/43200, 29639/1440, 
  -9979/864, 499/32, 6395/1152, 67909/2160, 1043/288, 13/8, 
  -5803884125/1069056, 12377379617/2672640, 75086987789/3563520, -29465/48, 
  -152801/96, -29356344403/5345280, -171272861219/5345280, 
  -212745083047/10690560, 17449/192, 9843288857/593920, 27867279629/1069056, 
  1379981/192, -4093693177/1069056, -154129/48, 126, -173053/384, 
  940756301/1336320, 714745/192, -1403660765/1069056, 8214181405/1069056, 
  15788312391/1187840, 10455133543/1336320, -5022702941/334080, 
  -8089992839/1069056, 442, -196181/96, -788041/96, 4771319/384, 
  35966601341/1336320, -147338939729/5345280, 35773/8, 678779/48, -527691/16, 
  -82367/6, 5801968733/1069056, -20406108541/1336320, -539630070197/10690560, 
  -6613/576, -2151934727/668160, 1155982498019/21381120, 
  193226790631/2672640, -190256787461/5345280, -192322652827/2375680, 
  3838884509/148480, 5555988413/1069056, 5082715291/5345280, 
  231143740967/10690560, -40914766061/2672640, -10695131525/534528, 
  233118636019/21381120, -1083071/384, -6398208739/1336320, 
  11022562211/1336320, 161897/48, 2096157131/167040, 435963343061/21381120, 
  1567/576, 173353991/16384, -210445214483/21381120, -156058234819/5345280, 
  9231411013/2672640, -9434947337/356352, 2820854039/1069056, 
  -34594892659/5345280, 6262349491/737280, -134753/288, 18854242621/1781760, 
  -250826037931/21381120, -968349917/890880, 3/16, -1/9, 1/48, 1/2, 1/8, 
  -323/192, 1685/96, 35/18, 7/6, 997/144, -17885/1152, -151/64, -109/48, 
  565/192, 1/12, 1781/288, -13/12, -3/16, 89/9, 13969/2304, -169/24, 
  -29425/768, -709/192, 17/24, 1/12, -1/12, 955/576, 703/96, -5/24, 1/48, 
  3/16, -263/48, -6609/64, -827/48, 47/192, 9497/768, 22427/256, -179/96, 
  -107/576, -7/24, -5/24, -605/48, 3757/96, 43/192, 136003/2304, 97/72, 7/48, 
  -805/24, -11/3, -1/48, 5/48, 775/16, 23, 229/72, 395/96, -29/24, -13/48, 
  91/48, -65/144, 1/6, -1/16, -179/16, 582725/9216, -41557/2304, -295/128, 
  601621/9216, 43285/2304, -66053/512, 63021/512, -20999/4608, 578117/9216, 
  -645695/4608, 66053/512, 689/36, 63533/512, -582725/9216, 41557/2304, 13/4, 
  638533/9216, -22419151/41472, -256469/2304, 70735/1536, -4887767/27648, 
  -515/24, -1/8, -63021/512, 41/8, 8324735/55296, 1758329/4608, 
  -910807/27648, 1/4, -1/2, -886309/2304, -638533/9216, 39423713/82944, 
  1313/18, -3710299/9216, -34099379/27648, 1907179/2304, -11793437/55296, 
  -61813/256, 42926213/55296, 1200821/4608, 3285889/9216, 5319251/3456, 
  249349/2304, -16079441/18432, -131693/144, -10559/72, -3209/12, 3191/432, 
  16781/48, 3209/12, -12485/1728, -29297/144, 995/54, -25/2, -10487/72, 
  -3047/12, 28937/144, -13, 84103/288, 154759/192, 4415/64, 115/48, 
  -144631/288, -69143/192, -3, 19981/72, -193/96, -1/4, -790/9, -28891/96, 
  10475/72, 44953/288, -50563/288, 1/24, -215/16, 49/16, -41867/288, 
  -18799/24, -2089/16, 45133/288, 2197/48, -691/16, 1805/18, 108419/192, 
  6101/72, 215/16, 15659/64, 4273/64, 8059/192, -16879/64, -83/16, -1/16, 
  -11/16, -21/16, -1/4, -355/72, -41/4, 1/16, -17/24, 7903/2304, 211/64, 
  89/192, -27/128, 165/64, 0, 59/48, 11/12, 5/16, 8203/576, 113/32, 5/288, 
  2351/576, 357/64, 11/48, -5/8, 101/96, -2761/288, -1907/288, -1/24, -1/3, 
  1/16, 49/48, 139/48, 45/16, 47/48, -65/72, 2569/96, 179/12, 49279/768, 
  10861/576, -3/16, -101/96, -31/8, 211/36, -116041/2304, -11737/384, 17/96, 
  123/64, 745/18, -1/12, -1/3, -19/12, -1/8, 151/16, -2241/64, -8791/288, 
  1/6, 457/192, -4855/576, -1/8, 509/48, -1/8, 10373/1728, 103711/5184, 
  -62081/3456, -7/16, -83/48, 6365/1296, 231547/10368, 33397/864, 107/48, 
  765367/13824, 1110547/10368, -3/16, 6385/432, 3/8, -77377/10368, 
  -287147/10368, 61/24, 12637/864, -932681/20736, 304667/5184, -677/72, 
  24257/288, -6277/432, -7/24, -17723/2592, -461/48, 72685/2592, -3225/32, 
  -2030239/10368, 1/24, 101/12, -5695/2592, -6643/1728, -33419/1024, 
  4724803/82944, 3859/288, 1009/288, 2182871/27648, -2620291/41472, 4855/864, 
  -553/96, 29/16, -31913/2592, -930301/82944, -56281/1728, 2064323/41472, 
  -1900301/10368, 30127/1728, 23861/1296, 41501/5184, 3560429/41472, 
  -73933/5184, 179107/9216, -5582383/82944, -205/24, -1889/192, 1069/216, 
  -3495431/41472, 4040707/82944, -3433/864, 5399635/82944, 6067/1728, -83/12, 
  3461/1728, 1/8, -579269/9216, 7327/576, 407/96, 23/12, -589621/9216, 53/64, 
  -439/96, -439/192, 219919/1536, 1601/96, 71/192, -7/8, -3025/288, -431/12, 
  -674645/9216, 35951/768, 637/96, -193687/1536, -1183/96, 137/96, 4283/144, 
  -169735/1536, -49/8, -23/48, -15/16, 13/24, 713549/18432, 32955199/82944, 
  55895/768, -161/16, -89335/3072, 22437217/82944, 7985/288, -643021/4608, 
  23519/3456, -99/32, -20166377/110592, -723617/4608, -75/8, -1834273/36864, 
  21989/384, 48053/1728, 247799/2304, 757/48, 5871/64, 23/12, -4511899/18432, 
  7968353/10368, 579/32, -556145/2304, -18091/108, -483/64, -12725617/55296, 
  2951/144, -595105/1728, -5867/64, -135733/216, 93/32, -41/16, 275533/864, 
  -1/4, -5285/216, 1607267/8640, -644687/1080, -1/16, 10405/864, 
  -208237/1920, 1287889/2160, 4357/864, -1447201/17280, -269/96, 5/8, 
  -537281/8640, 533615/1728, -17/4, 119/108, 2840479/17280, -7900541/8640, 
  -24401/1728, 1307029/8640, 439/192, -15/8, 117937/960, 431/48, 461207/4320, 
  156457/540, -1149187/17280, 53/32, -223/6, -104053/960, -7/48, 5393/216, 
  -1838743/8640, 12009503/8640, -9071/576, -5141/864, -39187/640, 
  -6414427/8640, -2897/288, 5145/64, 13/32, -239645/432, -2826743/5760, 
  3742687/1728, 77224381/129600, 9655819/8640, -31755721/129600, -77239/1440, 
  -6756973/8640, -571753/576, -7247567/51840, 209261/8640, -412849/480, 
  73/24, -46237/288, 29531/864, 3013/192, -560057/1080, -407099/144, 
  3857/1728, 5061749/17280, 14003/216, 1607/192, -101/64, 145207/1080, 1/4, 
  -1/8, 11887/576, 1001/72, 115/192, 61/12, -827/24, -1501/576, 1/12, 
  -151/24, 1759/96, -91/48, 119/96, 235/32, 23/96, 1/8, -10119/256, 
  -8987/2304, -2/3, -761/144, 3497/192, -1133/72, 1213/96, 2423/144, 
  -1601/96, 263/24, 15/4, -77/12, 5633/288, -517/72, -1/12, -17/4, 37/12, 
  1/12, -14335/576, 47/16, -33185/2304, 913/24, -22369/576, -3/8, -41/16, 
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  -815094728977/19543680, 160931/192, 19084170013/5790720, 
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  393718954891/3860480, -7735/64, -1097/8, -72889173166961/156349440, 
  -5210866473547/104232960, 46031/96, 31549694334943/104232960, -479665/192, 
  681/4, 599894645621/3257280, -293857/96, 20035/16, 4347206960467/52116480, 
  179797/384, -215/24, -1655/32, 602215319/222720, 339527449/668160, 7675/12, 
  15255353/9280, -913404389/668160, -1136573951/222720, 
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  4476810105307/13029120, 46001/48, 1157/192, -960193/192, -247289/64, 
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  -18101/64, -21169/48, -351589199/222720, 1174012711/668160, 52595/48, 
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  58661083/36864, 28370707/13824, 530688281495/15634944, 4733209/1152, 
  145051/64, -9080611700023/156349440, -4590647711/668160, 
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  38299/48, 17736091623/965120, -59665/48, -19/8, -11/8, 1/8, 174961/384, 
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  208295/96, -154275/16, -24143/6, 73/24, 8/3, 1/8, -70255/96, -25387/48, 
  107381/48, -21643/96, -25145/48, 424283/96, 210217/96, -7/8, 1/8, 
  -25529/48, -24907/48, 1/8, -636581/13824, 82351/1296, -137/144, 41/48, 
  -30541/1536, -74959/1296, -385/144, -163/192, 423373/6912, 6241/864, 
  35/192, -719/288, -1/4, -4542089/20736, 197/27, -688349/13824, 
  2104331/6912, 785/864, -460441/6912, 121/6, -719/144, -31/96, 371/27, 
  -4448993/20736, 123/16, 1181/54, 5/48, 733/54, -16531937/82944, 
  46522597/248832, -34319/432, 13/4, 9146911/20736, 724259/3072, -28249/3456, 
  -1772305/2304, -7927/3456, 41/32, 30189601/497664, 1467719/62208, 275/36, 
  -77151025/82944, -80459/768, -114283/1728, -4732013/124416, -3047/432, 
  -42197/1152, -3397/216, -26797945/82944, 2209157/5184, -1153/96, 
  -2406673/6912, 122819/6912, 1609/192, -80959655/165888, 32803/1728, 
  405865/3456, 49327/3456, -675851/864, 137/32, 71/48, -171671/3456, 119/24, 
  11369/72, 832/3, -487/48, -34385/96, -832/3, 177/32, 57859/288, 9/32, -1/8, 
  -34779/160, -78241/576, -17/6, -15/16, 375597/1600, 25/36, -593/192, 
  509/96, -21/64, 1/4, -23101/320, 23/12, 88507/576, 94741/288, -105419/576, 
  31/96, 11/12, 11/6, -5/48, -1111/36, -16069/96, -761503/288, -537/16, 
  3263/144, 30667/576, 85163/576, -833/144, -1049/36, -13/32, 810017/2880, 
  -1335959/576, 194089/144, -2862409/7200, -4051145/1152, 266119/2880, 
  -636743/2880, -616297/576, 13019269/3200, -10999/180, 8713/96, 583193/288, 
  5813/192, 22165/288, 7081/144, -3173/192, 2115421/576, -40651/8, 
  -17603/144, -14657/64, 2383/288, -389/64, 511/192, 9727/96, 7/8, 1, 
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  -793/96, -23/96, -3, -133/24, -25/12, 305/48, 943/32, 451/48, -1571/96, 
  201/16, 659/32, 3, 5, 7/12, -743/48, -2801/96, 383/36, -5/6, -11/24, 
  677/48, -1/24, -8/3, -43/24, 49/2, 3/16, 233/12, -55/12, 1/3, -203/24, 
  -19/6, 14, -73/8, -49/2, -157/6, -2671/48, 1661/24, -389/24, 131/12, 
  851/48, 39/8, 29/8, -253/12, -193/24, 7/24, 19/4, -5, 253/12, 55/24, 11/8, 
  3/8, -3/8, 143/240, -756347/9216, -635701/2304, -11/4, -361/48, 
  3545557/9216, 655045/2304, 179/32, -1471309/4608, 35/96, 5187/40, 
  61869/512, -45/8, -1085915/9216, -1728575/4608, 1534813/4608, -1713/16, 
  37/24, 190919/1536, -33/8, 1966757/9216, 4657999/82944, -2767/576, 
  -537379/4608, -11320661/27648, 683/24, 6373469/55296, -13971/256, 
  -38953/27648, -1217429/4608, -5526097/9216, -5480765/3456, 1766335/2304, 
  20796401/18432, 131963/144, -7/8, -572933/9216, 59869/2304, -11/4, 97/48, 
  -210239/1536, 251/32, -15/4, -289/192, 485381/9216, -30757/2304, 57/64, 
  207263/1536, 11/96, 3, -190967/1536, -5, 533501/4608, 3113/768, -19/96, 
  15461/576, 745079/4608, -215615/1536, -265/96, 415/48, 629885/4608, 917/96, 
  -636509/4608, 47/48, -3365/576, 136151/6144, -639625/18432, -17/8, 
  464009/9216, 76332187/165888, 17933/288, -223847/18432, 6829493/27648, 
  191/36, 610069/18432, 68333/2304, 1/24, -27936983/55296, -52745/256, 
  -1811231/27648, -130223/2304, 997/96, 1232165/4608, -14885/576, 
  297953/18432, 385/32, 757433/3072, 5373971/3456, -1833083/2304, 
  606817/6144, 433/24, -5368363/6144, -10961/576, -85/32, -1/4, -263467/288, 
  -2963/192, -179/36, 995/36, 6, 50/3, -695/18, -6, -671/36, 395/36, 125/18, 
  1/8, 1941179/8640, -1220299/2160, -1/4, -1223/48, -9515089/86400, 
  2465033/4320, 5351/64, -8208301/86400, -10775/576, -1/4, 486383/8640, 7/8, 
  -480127/2160, -1794863/2880, 13653151/86400, -31/96, -5/24, 1334363/8640, 
  5/48, 191/36, -3977/54, -65/6, -1109/72, 38701/432, 5/2, 2251/144, -673/16, 
  19/16, -1665779/8640, 35829403/25920, -46981897/11520, 7722157/43200, 
  -20049221/12960, 80689301/172800, -6827237/25920, 19030241/51840, 
  232088729/129600, 11558969/25920, 4975/108, -17/6, -1871/48, 215/12, 49/24, 
  -3726149/5184, 35/48, 1687679/1728, 452161/648, 23/3, 1/4, -26/3, 47/8, 
  -1/2, 140922127/88704, -5/24, -7037795/2772, -145268623/88704, 
  841685/29568, 2844285/9856, 1359/154, 35/24, -129/16, 5/24, 61703/1584, 
  47044013/29568, -35/24, -25/48, 25/48, 25/48, -659/144, 659/144, -1013/144, 
  55/8, -509/288, 6659/288, 3133/320, -97/18, -97/9, 97/18, -7271/864, -7/4, 
  1/2, 7271/864, 4439659/12672, 9072533/38016, 548021/2772, -1910011/12672, 
  14167/72, -57/16, -6760451/33264, 1273/144, 4326331/22176, 384125/1584, 
  7/12, 7/12, -7/12, -7/12, -1274269/33264, 1, -1/12, -2, 1/12, 
  -855443/66528, -7/12, -7/12, 7/12, 7/12, 1274269/33264, 3/4, -1, 1, -3/2, 
  5/8, -2589371/29568, -2888965/11088, -36925433/266112, -3230597/29568, 
  245/6, 77/48, 4291631/11088, -49/48, -15920099/88704, -7045601/22176, 0, 
  -133/48, 227/48, 19/4, -19/4, -3625/24, -905/6, 727/72, -727/72, -23/3, 
  841/144, 5/2, -5/2, -35/12, -5/8, -29/6, -14287/1152, 5, -5, -97/18, -97/9, 
  97/18, -6659/288, -6659/576, 6659/576, -3/2, 3/2, -6659/288, -17457/1600, 
  18257/1600, -139/288, -42337/21840, 15313/1440, -1/2, 3/2, 3/4, -1159/288, 
  21/8, 1469/2400, 1469/2400, -2669/2400, 5463191/262080, -26534719/614250, 
  -1273/192, -133559065859/2505600, 592545421591/12064000, 
  178413977647/1670400, 5093963440949/217152000, 4439/64, 844307/576, 
  308177/192, 463/3, -104315/64, -2, 4467563501707/104232960, 
  -4412146616677/26058240, 759/64, -4467355035787/104232960, -2, 4, 135/8, 
  -19817123/27648, -16448957/13824, 21596639/13824, 2716199/9216, 1/2, 
  -4205/192, -4205/384, 4205/384, -29855/36, 157/24, 15277/18, 29837/36, 
  -53/9, -106/9, 53/9, 44/3, 183/32, 1/3, -365/48, -769/96, -3509/288, 0, 
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  -5027/576, 6659/576, 419/48, -3/4, -1051/48, -899/72, 1051/48, 1697/288, 
  -229/12, 120535/144, -1553/288, 0, 3/2, 1/4, -113/12, 912301/8640, 61/18, 
  7591/540, 545/72, -85313/4320, 1834247/4320, -175/12, -311/24, 7733/288, 0, 
  10/3, 5573/288, 31/9, -689/48, 162913/90, 367303/360, -90607/90, 
  -108067/60, 26951/864, -3547/180, -9869/90, -6853/360, -121/20, 
  -452749/1440, -359/1152, 5275/384, 17/24, -4795/384, -2015/288, -6175/288, 
  1123/1152, 14/3, 14429/1152, -1157/24, -5, 31/3, -31/48, 1627/576, -3/2, 
  271/12, 1267/288, 2815/288, 432634578665/15634944, -209316200161/104232960, 
  -6396318760561/156349440, 576212681819/15634944, 17448733309381/651456000, 
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  -61/20, -71953/720, 3121/240, 40387/120, -4341815223337/104232960, 
  -33853/1260, 11/12, 1595/72, 1147/36, -1277/72, -911/72, 9049/144, 
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  -1/18, 1861/108, -1/8, 379/288, 473/1440, -37/12, 19079/1920, 21959/1920, 
  2, 91857/2560, 9799/1920, -80497/2560, -683/108, -3059627/19440, 81902/243, 
  1204481/4320, 277933/2160, -1, 125713/432, -7123/864, 716/9, -125713/432, 
  -139813327/88704, -18357541/44352, 1785317/924, 144159823/88704, 54, 
  -812117/29568, 223/4, -4849741/8064, -1513/154, 13861357/44352, 1199/288, 
  15883069/44352, -61109/1584, -140830507/88704, -15894157/44352, 25/48, 
  2596763/7392, 24957673/44352, -25/48, -49/6, -44799773/88704, 
  33025115/24192, 1128199/462, 61875293/88704, -83/3, -1733693/7392, 
  220270447/266112, 7704811/11088, 2945365/7392, -1469/18, -20663/44, 
  220747231/266112, -164953/1008, 56476885/88704, 3234277/3696, 
  -112601201/88704, -2923/77, 2141089/1584, -85859/462, 40845239/88704, 
  12587/264, -14270255/22176, -10549193/16632, -2286145/22176, 1448613/9856, 
  28807/84, -14314607/22176, -27480737/66528, -2190049/22176, 6919365/9856, 
  299/288, -323967025/266112, -51874/693, -44687497/88704, 321249865/266112, 
  -836963/11088, 110153/308, 11349/28, -724247/5544, 59460961/38016, -5/48, 
  82249/231, -1/4, -343355/792, -368945/1008, 5/12, -5/12, -5/12, 
  12678125/7392, 2592913/7392, -77590517/44352, -4326655/2464, -49/6, 
  485909/5544, 5/24, 458741/2016, -440633/5544, -262507/3168, 5/24, 
  269371/3168, -611867/5544, -15/16, 659/144, -205/24, -133/48, 
  9116713/13824, 6794137/10368, -133/16, -6794137/10368, 47/6, 
  54673567/41472, 2715/8, -2715/8, 2069021/288, 1421/36, 5/3, -1421/36, 
  120293/144, 15649/18, -7/24, 7/24, -57/8, 325/144, -14287/576, 1513/144, 
  -1513/144, -14287/288, -6659/288, 97/18, 97/9, -97/18, 7/3, -453571/6480, 
  -60787/1728, -11/6, -887/40, 1525/288, 787/240, -1237/288, 13753/1440, 
  1597/360, -113101/5184, -64885/1728, 67/48, -522089/25920, -4781/216, 
  -4219/2880, 10789/216, 97063/2160, -9043/432, 1933/120, 85879/4320, 
  -6659/288, 391/9, 391/9, -41/6, 1, -14519/1080, 94637/13824, -798589/69120, 
  0, -14519/1080, -13969/4608, -38623/23040, -29/12, 29/6, 85393/2880, 
  3133/320, -80353/2880, -127403/144, -15277/18, 97/9, 127427/144, 
  -353809/432, 263/24, 15277/18, 354673/432, -127049/4320, -5869/54, 
  -308683/12960, 3415/72, -3415/72, -1881793/2592, -10949/864, 719/4, 
  475793/1944, 59293/13824, 869053/13824, -238279/34560, -399149/17280, 
  -20371/768, 44799773/88704, 90832079/266112, -23665/1584, -52635293/88704, 
  -565/3, 112601201/88704, -13786/77, -118801/1232, 6289/77, -21750505/12672, 
  -71/16, -766819/3456, 383807/5544, 4988925/9856, 61762223/266112, 
  -12678125/7392, -4326655/2464, -22332575/44352, 4326655/2464, 245/6, 
  83169815/88704, 447299/33264, -1582775/924, -63810167/88704, 5809/18, 
  31894453/22176, 26591437/88704, -19158955/11088, -29013421/22176, 2419/18, 
  -1654055/11088, -2154599/22176, 261971/1232, 4815983/11088, 1130/3, 
  -44197/88, -25158281/88704, 262057/3696, 65052833/88704, -7382569/22176, 
  -44953/198, 9296611/266112, 324581/3696, 534167/9856, -40931/288, 
  473677/924, -49/3, 2538185/22176, -6, 7340717/11088, -47/8, 32/3, 831/4, 0, 
  -62057/288, -719155/3168, -616519/3696, -87167/1008, 164303/22176, 
  491635957/266112, 698977/2016, -618367/3696, -53/18, 84839/22176, 
  675067105/266112, 31/6, -10/3, -1349/3, -7/2, 3721613/9504, -517/288, 
  -6443807/16632, -57635/48, 233329/528, 13256365/33264, 1, -7451/1440, 
  289/24, -172025/288, 10151/1440, -841583/11088, 2266139/33264, 
  -765997/11088, 161407/5544, -32212525/88704, -125/48, 27762109/66528, 
  43203/16, -336469/792, -4071373/9504, -3, -143/48, 5/16, 3/2, 821255/66528, 
  -2535625/7392, -865331/2464, -4466515/44352, 865331/2464, 49/6, 
  2920723/7392, 1093775/2016, 144318313/266112, -3715363/7392, -243103/3168, 
  10397221/22176, 27414091/266112, -3269771/7392, -16521515/7392, 
  5190077/29568, 701333/5544, 28563547/266112, -12902041/44352, 948487/3168, 
  20559047/13824, -181/16, -20559047/13824, -47/24, 20531975/13824, -31/12, 
  133/48, 31/12, 5/6, -9144937/13824, 133/16, 0, -9/8, -9219241/13824, 
  4079/12, -4079/12, 85559/576, 88795/576, -1787/144, -5/3, 1787/144, 
  -122579/144, -60949/72, 1003/4, -10/3, -1003/4, 1795/72, 837/16, 77/144, 
  -377/24, 377/24, 377/24, 37/8, -277/48, 0, -47/12, -7/2, -88748281/41472, 
  -421/48, 88863193/41472, 35/4, -88764697/41472, 158831483/82944, 
  8920633/13824, -15116711/20736, -56979193/41472, -2089621/13824, 
  156630011/82944, -145030735/82944, -15477863/20736, 146848591/82944, 
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  7/6, -7/12, 3/4, 11/24, -1/2, 1/24, 5/6, -1, 13/12, 1/4, -1/3, 11/12, 1/4, 
  -13/24, 1/6, 17/12, 3/8, 11/12, -37/24, -5/12, -3/4, 9/8, -1/6, 1/8, 
  -17/12, 11/8, 31/24, -1/6, 13/24, 5/8, 1/24, -1/8, -1/4, -11/12, -1/2, 
  11/12, 11/24, 1/24, 1/2, 1/2, -1/4, -1/4, -1/2, 3/8, 3/16, 0, 13/24, -7/24, 
  -3/16, -1/24, -1/12, 0, 1/2, -5/24, -3/16, -1/6, -1/4, 1/8, 0, 1/4, -1/6, 
  -1/8, -1/4, -1/4, 1/2, -3/8, -3/16, 1/3, -13/24, 7/24, 3/16, -1/24, 1/24, 
  1/12, 7/48, 0, -3/16, 1/4, 0, -1/6, -1/4, -1/24, 1/16, -1/48, 1/12, -5/12, 
  -5/24, 1/24, -1/8, 3/16, 1/4, -1/4, 1/4, 7/24, 1/12, 1/3, -1/12, 1/8, 1/4, 
  -1/4, 5/24, 1/4, 1/8, -47/48, 19/16, -3/16, 1/6, -5/12, 9/8, -55/48, -1/8, 
  -53/48, 25/48, -1/6, 11/24, -3/16, -3/4, 25/24, -37/24, 1/12, 11/24, 
  -25/24, 19/48, 1/24, 19/12, -11/24, 1/2, -1/12, -1/24, 2/3, 19/12, -103/48, 
  1/4, 1/3, -11/8, -1/4, -3/8, 71/48, -155/48, -3/8, -2/3, 19/12, 37/24, 
  13/12, -7/8, 1/6, -1/24, 79/48, 61/24, -17/48, -125/48, -5/12, 17/24, 
  -35/24, -1/16, -7/24, -1/8, 5/3, 1/2, -1, -17/24, -1/24, -7/12, -3/2, 7/12, 
  17/24, -3/4, 3/8, 3/8, -1/2, -3/8, -1/48, -1/16, -1/12, 29/24, 3/4, -5/24, 
  0, 3/16, 1/2, 1/6, 1/12, 1/4, 13/24, 1/24, -4/3, -47/24, 1/8, -1/2, 1/6, 
  -7/8, 1/12, 35/24, -1/2, -1/8, 1/2, 5/6, 19/16, 19/24, -95/48, 9/16, 5/24, 
  55/48, -1/6, -4/3, -43/24, 19/12, 7/6, -17/16, -5/8, 1/24, -43/24, 1/8, 
  -17/24, -21/16, -1/8, -1/2, 1/24, -11/24, 15/16, 1/3, -1/8, -3/8, 3/16, 
  3/16, 0, -1/8, -1/24, 1/8, 7/24, -1/16, -1/2, 3/8, -7/24, -5/24, 1/6, -1/8, 
  -11/24, 1/12, -7/24, 3/8, 1/2, 2/3, -1/12, 2/3, -5/24, 1/4, 1/2, -1/2, 
  5/12, 1/8, 1/4, -29/24, 3/8, 1/8, -3/4, 19/48, 0, 43/48, 11/24, 11/24, 
  5/24, -1/6, 59/48, -11/12, 1/4, -1/24, -7/24, 1/2, 1/8, 49/48, -1/2, -9/8, 
  23/24, -13/24, -1/8, 35/48, 5/4, -3/8, 3/16, 3/16, -1/4, 1/4, -11/48, 
  -3/16, 1/12, 5/12, 1/24, -1/48, -7/24, 3/16, 1/4, 1/12, 1/24, -1/2, -5/8, 
  11/48, -17/48, -1/4, -1/8, -29/48, -1/6, 1/3, -3/16, -1/4, 1/12, 5/4, 
  -13/24, 11/24, -5/12, 17/48, -1/24, -1/4, -1/4, 5/6, 5/24, -3/4, -3/8, 
  13/24, 3/4, 0, -5/24, -59/48, -3/8, 0, 3/16, 47/48, -1/8, -1/48, 1/2, 5/12, 
  -31/48, -3/8, 3/8, 33/16, 7/16, 0, -11/8, 11/24, -1, -13/24, -1/12, -7/24, 
  -17/48, 9/16, 0, -1/6, -1/4, 1/2, 3/4, -1/48, 1/4, 1/2, -37/48, 1/2, 
  -11/24, -5/6, -7/4, -53/48, -3/4, -15/16, 7/12, 23/16, -1/12, 17/24, 
  -11/48, 13/12, -17/24, -1, 23/12, 7/12, 1, -13/6, 1/8, -1, 1, -1/2, 0, 0, 
  0, -1, 1, 0, -1, 0, 0, 0, 0, 3/4, -9/8, 3/8, 0, -1, 0, 0, 0, 0, 0, -2, 
  -3/2, 0, 0, 0, 1, 0, 0, -1, 21/16, 21/16, -41/16, 1, -37/32, 37/32, 0, 0, 
  0, -4, -2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -4/3, 1/2, -1, 1/2, 1/2, 
  -1/6, -1, 3/4, -1, 0, -1/2, 1/2, -1/4, 0, 0, 0, 0, 0, 18, 1/2, -1/2, 1/2, 
  1, 1/2, -16/3, -8/3, -10/3, 1/6, 1, -19/6, 3/2, 1/6, -1/3, 5/6, -1/2, -8/3, 
  2/3, -1/6, -171/16, -23/16, -9/4, 0, 9/2, 0, -43/12, 1, 0, -1, -1/2, -19/8, 
  19/8, -5, 1/2, 1/2, -5/2, 0, 0, 0, 0, 0, 3/4, -3/4, 3/2, 3/2, 13/12, -1/3, 
  -4/3, -5/6, 1, -1/4, -3/4, 1, 1/3, 5/4, 1, 1, -1/4, 1/3, 1/2, 1/2, 0, -3/2, 
  0, 13/12, 1/2, 5/4, -1/2, -1/4, -4/3, -5/6, 1, -1, -8/3, -5/3, -16/3, -4/3, 
  2/3, 19/6, 3, 0, 13/6, -3/2, 1, 11/3, 2, 0, -1/6, 0, -1/2, 1/2, 1/2, -1/2, 
  3/2, 10, 4, 1/2, 1/2, -3/2, 1, 0, 0, 0, -1/2, -1/4, 1, -4/3, 8/3, -123/64, 
  -41/32, 123/32, -4/3, -41/64, -41/32, 41/64, 41/32, 4/3, 41/16, -41/16, 
  -9/8, 0, 0, 7/64, -151/32, 389/96, -43/16, -183/16, 7/32, 1041/64, 181/16, 
  -1/8, 1/2, 0, 0, -21/64, -1, 1/2, -51/16, 835/192, 7/32, 211/96, 189/16, 0, 
  -1/2, -1/3, -3, -3, 11/6, -2/3, -7/6, 1/2, -1/2, 5/2, -5/2, 0, 11/6, 3/2, 
  -5/3, 0, 0, 0, 0, 0, 0, 0, 0, -2, -12, 0, 1/6, 1/18, 0, 1/6, 0, 1/18, 0, 0, 
  0, 0, 0, -6, -1/2, -1/2, 0, 0, 1, 8/3, -40/3, 1/2, 4/3, -14/3, 2, 226/9, 0, 
  11/3, -226/9, -9/2, -10/3, 0, 10/3, 0, 0, 0, 0, 5/2, -1, 0, -11/6, 26/3, 0, 
  0, 0, 1/2, 2, -2, 3, -3/2, -3/2, -3/2, 3/2, 1/3, -1/12, 3/4, 4, 9, 3/4, 4, 
  71/2, 0, 67/2, 7, -1/2, -41/4, -6, -39/4, -33/2, -21/2, 1, 19/2, 9, -1/2, 
  -1, -27/2, -63/2, -19/2, -121/2, -37/2, 41/4, 31/2, 20, -37/4, 9, 45/2, 
  23/2, -9, -1, -8/3, 3/2, -77/12, 323/32, 107/32, -3/4, 7/2, -1/4, 1/2, 
  -17/6, 23/8, -33/4, -11/24, -15/8, 5/4, 9/2, -1/4, 23/4, -15/2, -1/8, -3/2, 
  -87/16, -23/32, 27/4, -5/16, -13/8, 47/16, 13/8, -3/4, -19/3, 0, 1/12, 
  38/3, 0, 1/4, -35/6, -1/4, 65/24, -1/6, 0, -7/2, 1/6, -121/24, -13/8, 5/4, 
  19/4, -1/4, -1/2, -193/24, 5/12, 95/12, -23/12, -313/48, -53/96, 355/48, 
  61/48, 9/4, 1/3, 71/24, 1, 0, -13/18, -5/4, -19/12, -1/6, 1, 13/18, -5/4, 
  1/4, -3/4, -3/4, 8/3, 5/12, -2/3, -17/8, 1/12, 3/4, -1/8, 1, 0, 1/3, 0, 
  -4/3, -7/4, 8/3, -4/3, -8/3, 3/2, -5/3, -7/4, 1/4, 1/2, 1/9, -11/12, -5/18, 
  -1/2, 1/6, 1/4, -1/4, -1, -1/9, 5/12, -1/4, 0, -1/4, -1/4, 1/2, -1/8, 1/2, 
  1/6, 1/4, 1/4, -1/3, -1/2, 1/4, -1/4, 1/4, -1/24, -1/4, -1/24, -8, 11/2, 
  -3/2, 1/4, 3/4, -7/4, -1, 1/2, -91/24, 1/8, 7/8, 39/16, -79/16, -1/2, 1/2, 
  3/8, 1/2, -3/16, 3/16, 1/2, 23/48, 5/16, -5/4, 3/8, -3/4, 5/32, -57/32, 
  -5/4, -1/2, 1/48, -1/8, -3/4, 67/32, 1/6, 1/4, 1/2, -1/8, 9/16, 17/48, 
  -3/2, 41/48, 23/48, -1/2, 1, 1/2, -17/6, -29/32, -271/96, 29/24, -67/48, 
  3/8, 49/16, 75/32, -133/48, -1/4, 1/2, -1/2, -1/6, -1/12, -1/4, -3/2, 1/2, 
  1/3, -13/6, 1/48, -1/2, 1/2, 19/48, 1/2, -55/24, 1/2, -5/6, 5/24, 5/4, 
  109/24, 7/12, 385/96, 31/48, 25/16, -17/12, -29/12, -821/96, 19/24, 7/8, 
  7/12, 3/8, -1/2, 47/48, -25/96, 5/8, -1/2, -1/8, -7/8, -11/12, -11/4, 
  -7/12, 57/32, 133/48, 1/3, 3, 1/2, -9/16, 9/32, -9/16, -9/32, 3/8, 1/8, 
  -1/8, 1/8, -3/8, 1/8, 9/16, -23/12, -13/48, -9/8, -43/16, 1/48, 9/8, -1/32, 
  43/16, 5/3, -3/2, 19/8, 1/2, -11/8, -23/24, 47/16, 31/48, 1/16, 19/12, 
  -43/16, 19/32, 9/4, -1/2, -1/3, 0, 41/24, -23/12, 0, 0, -1/8, -11/6, 1/8, 
  43/16, -55/24, -23/32, 1/3, 1/4, -55/48, 199/96, 9/32, 83/48, 163/96, 
  -19/12, 0, 11/96, 5/96, 0, 2/9, 0, 0, -2/3, 4/9, 5/8, 0, 1/6, 1/9, 1/4, 
  5/9, -1/9, 7/12, -13/18, -5/6, -1/4, 0, 1/2, -5/4, 25/18, 17/12, 7/9, -1/4, 
  3/2, -1/12, -1, -1/4, -1/4, -5/6, 0, 0, 11/8, -7/8, -1/2, 1/4, 1/8, -3/4, 
  3/4, 1/2, -1, -1/4, -125/6, 0, 21/4, 4/3, -7/6, -1/4, 24, -1/3, -4/3, 
  53/36, -5/6, -29/12, 0, 15/8, 95/24, 0, 1/24, -25/8, 7/3, -5/2, -35/8, 
  113/24, 37/8, 3/4, -1/2, -17/12, -5/12, -1/4, 23/12, 19/12, -9/2, 3/2, 4, 
  -21/4, 43/24, -1/12, 7/12, 9/2, -1/4, -13/12, 17/6, 31/4, -25/12, -4/3, 
  5/96, 35/32, 7/2, 7/32, 157/16, 959/64, -3/4, 0, -703/128, -25/2, 5/4, 0, 
  643/128, 5/4, 1/2, -29/12, -35/2, -2051/64, 801/128, -7/32, 851/64, 
  -209/32, -261/256, 1211/192, 447/32, -269/128, -49/256, -127/16, 101/32, 
  179/96, -139/192, -7/24, 0, -209/128, -11/192, 7/24, -217/384, 41/32, 
  251/192, -49/192, -7/32, 1609/192, -95/768, -10/3, -1817/128, -49/256, 
  23/8, 101/32, 1/8, -161/96, 361/96, -13/96, -3/4, -1/4, 79/48, 0, 0, 
  113/96, -1831/384, 47/128, 1/4, -35/16, 0, 129/128, 647/384, 13/24, -11/12, 
  27/32, 163/96, -629/384, -3/2, -133/48, 0, -5/384, 4817/384, 47/24, 5/4, 
  -16, -2411/384, -2/3, -57/16, 455/32, -4, 7, 35/3, -1/12, -5/9, 1/3, -7/9, 
  5/12, -1/12, -47/9, -2/3, 19/6, 79/18, -3/4, -3, 1/2, -4/3, -179/36, 1/3, 
  179/36, -1/36, 427/36, 1/9, -367/36, 1/4, -59/12, -2/3, -1/3, -169/36, 
  25/6, -8/9, 164/9, 21/4, 13/18, -3/4, -58/9, -43/12, -1/3, -11/18, 19/8, 
  -3/4, -2, 21/8, 1/3, -2/9, 17/4, -39/2, 23/3, -98/3, -23/36, -83/108, 
  80/27, -101/72, -57671/43200, -223/360, -139/108, -1/18, -1/8, -2/27, 
  703/480, 235/216, -2569/1440, -101/72, 39/80, -733/240, -5/12, -9617/4800, 
  9413/4800, 19399/43200, 1207/240, 152/45, -37159/14400, -1147/270, 29/12, 
  -23/6, 3/4, -3/4, 49/3, 3/4, -3/4, -1/2, 1/12, 0, 1/36, 0, 0, 5/12, 9/80, 
  0, 23/36, -1929/1600, -19/8, 51/80, 57/20, 5129/1600, -219/40, -5/3, -1, 0, 
  -14/9, -2, -17/8, -69/80, -13/3, 19387/4800, -77/120, 107/12, 21/4, 
  -139/12, 71/4, 229/12, 4, 4, 4, -5, -12, -35/3, 2, -5/12, -1/4, 2, 21/4, 
  -1/3, 0, 29/4, 0, 4, -4, -3/2, -2, -7/6, -8/3, -6, 0, -2, -10, 2, 0, -63/4, 
  189/4, -17/4, -3/4, 0, -3, -2, 3/4, -4, 13/4, -4, 0, 4, 11/4, 15/4, 11, 
  33/4, 5, 31/4, 27/4, -13/4, -15/2, 63/4, 63/4, -63, -63/4, 189/4, -63/2, 
  -63/4, 63, 63/4, 1, -1/2, 1/2, -1/8, -7/9, -43/36, 1/2, 5/24, -7/36, -25/3, 
  142/9, -53/3, -1, -5/16, 11/72, -65/12, 233/36, -115/12, -2, 281/36, -3/2, 
  4, -523/108, 95/48, 19/36, 149/72, -91/36, 31/30, -577/120, -2779/216, 1, 
  25/6, 4283/180, 4729/216, -1159/120, -425/36, -1/8, 199/180, 2095/144, 
  -19/12, -7487/360, -12299/288, 97/8, -23/8, -191/144, 9025/432, 143/72, 
  11/6, -427/120, -2239/216, 1, 29/60, 2231/60, 4621/216, -221/40, -503/18, 
  1/8, -59/20, 1175/72, -19/12, -11647/360, -12773/288, 221/8, -191/36, 
  -191/144, 9415/432, 143/72, 269/30, -1/12, 11/4, -433/60, 1/12, 0, 5/3, 
  1/48, -29/6, -193/72, -37/12, -5/3, -25/12, 283/18, -22/3, 1/3, -5/9, -1/4, 
  1/18, -37/4, 2/3, 0, 0, 1/9, -11/2, 21/4, -23/18, 17/108, 157/54, -23/9, 
  5/12, 27/4, -107/27, 5/18, 0, 0, 7/18, 0, 0, -7/9, 47/48, -14/9, 
  39767/21600, 19/4, -119/48, -899/180, -126167/21600, 461/45, -13/9, 193/36, 
  -11/2, -17/18, -21/4, -1/2, -137/36, 21/4, 23/4, -1/4, 1/2, 1, 1/4, -3/4, 
  0, 0, 1/4, -1, -4/3, -1/6, 1/6, 0, 5/6, 0, -1/3, 7/6, 7/4, 1, 1/2, -1/2, 
  -25/12, -7/3, -3/4, 1, 8/3, 4/3, 0, -1/12, -1/2, 13/12, 25/12, 1, -4/3, 
  -5/4, 1/4, -1/8, -5/4, -5/3, 9/4, 3/4, -2/3, -11/4, 19/4, -11/2, 1/2, 7/12, 
  -31/3, 0, 1/6, 3/4, 1/2, -1/4, 7/4, 1/4, 23/12, 85/12, 37/4, 9/4, 175/12, 
  5/6, -1/2, 7/2, 3/4, -11/4, -17/2, -31/4, 11/24, -2, 3/2, -1/3, 17/12, 1, 
  -5, 3/2, 3/2, -17/4, 47/4, -23/6, -1/6, -2, 1/12, -35/12, -11/2, -11/3, 
  -107/4, -17/3, 1/12, 7/4, 32/3, -19/12, 2/3, 11/4, -9/4, 16/3, 5/4, 1, 9/4, 
  39/4, 29/6, -35/12, -1/4, 1/4, -1/4, -1/4, 91/12, 3/8, 1/3, -1/4, -119/8, 
  -3/8, -1/24, 37/24, 175/24, -1/24, -17/24, 1/2, 2/3, 8/3, -23/8, 1/2, 17/2, 
  -71/24, -19/6, -197/24, -1/12, 0, -19/6, 2, -4, 4/3, 93/16, -1/4, 3/2, 
  17/24, 1/24, -25/3, 9/8, -1/24, 59/8, -9/8, 1/12, 7/8, 13/24, 9/8, 61/12, 
  -1/8, -71/16, 111/16, 1, -17/24, 5/3, -131/48, -11/24, 43/24, 0, -3/4, 0, 
  -7/6, -25/12, 1, -67/96, 7/24, -1/2, 1/2, 1/2, -3/4, 83/40, 1279/432, 
  -17/12, 7/120, -331/20, -6835/432, 11/12, 103/20, 1651/360, 17/6, -3/8, 
  89/24, 3/4, -827/216, 131/144, 1169/72, 9443/288, -31/72, -647/120, -49/24, 
  -43/12, 1/2, 59/108, -7283/432, 77/216, -29/24, -1/4, -119/216, 19/6, 
  -25/12, 5/2, 5/12, -167/72, 47/12, -1/72, -91/72, -97/216, -9/4, -59/24, 
  5/12, -29/24, -1/36, 3/8, 1/4, 1/2, 0, 0, 0, 0, 0, -11/6, 0, -4/3, 77/72, 
  2/5, -3/4, 0, -11/27, 1297/2400, 7/16, -83/54, -3671/7200, 13/72, -3/4, 
  -77/60, 19/48, 23/160, -23/60, 9431/8640, -1/2, 4/9, 13/18, 193/216, -1/2, 
  1/2, 11/2, -13/24, 13/3, -11/2, 7/6, -25/6, 0, -7/12, -11/2, -1/24, 33/8, 
  -9/8, 1/8, 3/4, -3/8, -3/8, -1/4, -1/2, 11/24, 3/8, 1/12, -5/6, -1/12, 1/6, 
  7/12, 0, -1/2, -11/12, 7/24, 3/8, 1, 0, 1/12, 0, 1/6, -1/2, -3/4, -1/3, 
  -3/4, 5/12, 55/24, 3/4, 25/24, -47/24, -17/24, 7/4, 25/24, 3/4, 1/12, 
  -17/24, -13/12, 17/24, 1, -11/4, -1, 49/24, -7/12, -1, -1/8, 5/8, 1/8, 1/2, 
  0, 1, -1/3, -1/6, -3/4, 1/6, -7/6, 1/2, -1, -2/3, 7/12, -7/6, -1/4, 0, 4/3, 
  1/3, 1/2, -1/2, -11/12, 13/12, 7/12, 1, 2, -3/4, 0, -19/12, -1/2, 13/12, 
  -1, -1/12, -4/3, 1/6, 1/4, -1/2, 0, 3/2, -1, -1/2, 7/6, 3/2, 0, -19/12, 
  -1/4, 1/2, 8/3, -2/3, 5/4, 1/4, 1, -3/2, 1/4, -1/3, -5/3, -5/6, 5/3, 
  -13/12, 19/12, -9/2, 1, 1/3, -1/2, -1/6, 37/6, -3, -3/2, 7/3, -13/3, -1, 
  7/12, -5/4, -31/8, -5, -23/6, -11/4, 235/24, 17/4, -37/6, -16/3, 2/3, 23/3, 
  113/12, 11/4, -53/8, 9/4, -35/12, -31/12, -15/4, -3/2, 4/3, 115/24, 25/4, 
  -13/6, -109/12, 91/12, -25/6, -43/8, 19/12, 5/4, 7/12, -1, -1/2, 1/4, 3/8, 
  -1/2, -1, 7/4, 3/8, 1/2, -53/48, 1, 23/24, -1/6, 5/8, -95/48, -1/12, 5/12, 
  -3/8, 1, -1/2, -1/6, -1/4, 23/24, -25/16, -5/6, 71/96, -35/48, -1/2, 0, 
  -3/4, -31/96, -67/48, -3/4, -1/4, 0, 85/48, 7/24, -21/8, -13/12, -119/48, 
  17/6, -11/48, -15/16, 1/3, 0, -389/48, 10/3, -41/48, -673/192, 65/32, 3/4, 
  -263/96, 113/48, 1/4, 7/6, 139/96, 2, -17/32, 45/32, -3/4, 19/8, 961/192, 
  -71/32, -19/24, 1, -17/16, 1/6, 7/6, 1/4, -3/10, -155/72, 3/8, 1/15, -8, 
  805/72, -53/20, 5483/360, 1/8, -1/2, -557/216, 7/8, -443/180, -827/96, 
  -153/10, -19/72, -421/72, -953/144, 37/72, 41/72, -1/30, 0, 0, -43/216, 
  -17663/7200, 0, -437/216, 16903/7200, 109/72, -1/2, 587/120, 1/3, -259/480, 
  -163/30, -79889/43200, 0, 1/9, 2363/360, 193/216, -1/4, 13/16, -25/32, 
  -3/8, -1/4, -101/96, -37/48, 397/192, 17/12, -7/12, 25/64, 1/8, 5/24, 3/8, 
  -3/8, 3/8, -1/12, -1, 377/96, -205/192, 7/6, -57/64, 7/12, 7/8, -1/6, 11/8, 
  -2, -1/4, 1/2, 9/8, 1/4, -85/48, 4/3, -3/4, 475/96, 3/64, -289/96, -7/12, 
  -337/192, -13/12, 3/8, 3/4, 29/96, -135/32, 107/96, 57/64, -1, 13/8, 
  203/48, 3/8, 23/24, 83/96, 5/2, 209/64, -113/96, 1/12, -21/16, -25/32, 
  -53/192, -109/48, -17/12, -2, 5/64, -1/4, -1/2, -3/8, -1/3, -19/12, 1/4, 0, 
  11/24, 7/8, 3/8, 1, 5/24, 1, 10/3, 5/6, 1/4, -1/4, 0, -1/12, 1/4, -7/6, 
  5/12, -1/2, 1/4, -1/6, 7/12, 19/8, -1/12, 4/3, 1/2, -25/24, -1/3, -1/3, 
  -85/24, 3, -241/72, -23/24, 1/4, 17/24, -19/12, -1/2, 35/24, -13/8, -1/4, 
  1/24, -7/24, -11/6, 35/12, 7/12, 11/72, -1/4, 1/4, 1/4, 1/4, 3/2, -13/40, 
  -1117/432, 5/8, -13/30, 297/40, 4747/432, -53/20, -1861/360, -5, 0, -9/4, 
  28/27, -25/48, -55/9, -4787/288, -1/6, 341/60, 10, -55/72, -97/72, 
  2915/432, -1/3, -5, 91/72, 1/2, -3/4, 101/24, -8/3, 1/4, 1/12, -71/6, 19/6, 
  -1/8, 67/8, 1/2, -3/2, 23/8, -1/3, 23/6, -11/4, -19/24, 2, -5/24, 7/12, 
  -1/4, -73/72, -3/8, 3/8, 0, 19/36, 7/24, -1/4, 11/72, 7/12, 11/24, 23/36, 
  73/30, 1/6, 1/4, 67/216, 701/800, 25/16, -295/216, -529/7200, 17/18, 
  -23/24, -71/120, -53/48, -89/480, -137/60, 7489/8640, -23/8, -17/18, 37/36, 
  67/27, 73/72, -109/72, 4/3, 39/8, -31/72, 319/72, 27/8, 1/24, -13/8, -3/4, 
  115/72, -43/72, -21/8, 23/24, 161/36, 43/24, -23/18, -2, -1/6, -1/4, 
  -257/192, 785/192, 227/192, 3/8, 7/8, -9/4, -5/96, 13/12, -5/3, -9/8, 19/6, 
  -1, 0, -3/8, 5/4, -259/768, -525/256, 37/24, -67/24, -35/12, -9/8, 23/12, 
  -119/48, -1/3, -5/2, 55/24, -11/8, 7/2, 53/16, 1/2, 0, -5/3, -5/3, 5/4, 
  39/64, -125/192, 1355/768, 3/4, -49/24, -409/96, -115/24, 37/12, 7/2, 1/12, 
  -1183/256, -1411/768, 73/64, 16/3, 4741/384, -13/16, 1609/768, -2503/768, 
  -321/64, 7/12, -121/12, -1881/256, -7/8, -13/24, 5/8, 7/12, 1945/384, 
  -4909/768, 671/384, 2971/384, 463/64, 0, -403/64, 1/2, -1/6, -1/12, -3/8, 
  -1/2, -2/3, -1/4, -1/2, -5/12, 0, 0, 5/4, -7/8, 1/8, -1, -1/6, -7/12, 1, 
  -2/3, 1, 3/2, -73/40, -955/432, 41/72, -37/120, 247/15, 5663/432, -5/72, 
  -211/40, -1523/180, -47/54, 0, -5/2, 701/216, -301/432, -1127/72, 
  -25165/864, -55/216, 1117/120, 0, -1/4, -17/27, 7517/432, 7/108, 47/54, 
  5/4, 7/27, 9/8, -533/216, -7/9, -9/8, 7/72, 35/8, -25/72, 95/216, 
  -1031/216, -43/27, -7/8, -311/72, 1, -187/108, 19/12, 83/72, -3/8, 5/12, 
  -137/72, 0, 41/36, -7/10, -3/8, -53/54, -1/400, 3/8, -187/216, 1729/3600, 
  35/72, -59/72, 11/48, 187/120, 1/6, 35/108, -23/2880, -229/240, 377/216, 
  -937/1728, -17/9, 1/2, -47/24, 59/144, 73/480, 61/36, 22903/21600, 1/4, 
  61/27, -571/180, -193/216, -55/24, -37/40, 49/24, -3/4, 53/72, 2383/1200, 
  -13/4, -49/24, 697/320, 3/2, 211/48, -563/60, -7/4, 8051/2880, 11371/1600, 
  349/2880, 5/2, 211/60, -85/24, -149/144, 103/24, -5/6, -49/8, -73/24, 
  -83/24, -59/24, 43/6, -17/3, 55/8, -133/24, 221/12, -45/2, -1/24, -89/12, 
  1/2, 0, 7/12, -5/4, 7/4, -8/3, 5/4, -7/24, -11/4, 4/3, 11/12, -59/24, 
  -5/12, -11/4, 3/4, 1, -31/12, 2/3, -1/4, 119/24, 179/48, 7/8, 53/12, 
  205/48, 89/24, -2, 5/3, -11/12, -7/24, 115/48, -5/4, 0, -7/6, -5/2, 1, 
  -19/24, 19/3, 5/4, 9/2, -13/8, -13/6, -13/12, -17/8, -7/24, 1/3, -241/24, 
  -3/4, -75/4, -107/8, 365/12, 13/24, 89/24, 63/4, -1/12, -157/24, -13/4, 
  -7/6, -2/3, -1/8, 35/3, 15/4, 11/12, -41/8, -1/4, -1/4, 1/4, -1, 19/40, 
  307/144, -1/2, 139/40, -49/12, -4355/432, 1, 61/30, 3413/180, 4099/216, 
  -1001/120, -1741/180, 1/4, 3/2, -119/108, 1/3, -523/180, 9673/864, -95/48, 
  -319/18, -1699/48, 179/20, 37/72, 2/3, -353/144, -209/144, 3755/216, 
  -73/72, 25/8, 61/40, -9/2, 9/8, 3/4, -1/120, 53/24, 11/12, -277/120, -5/24, 
  -11/24, -83/45, -593/288, -17/24, 287/180, 1085/288, 433/60, -9/16, 5/48, 
  253/144, -19/36, 71/12, 127/24, 3/2, -1, -173/12, -41/24, -55/18, 17/8, 
  101/12, -727/72, -143/24, -2, -211/24, 197/24, 7/27, 0, 0, 19/108, 0, 0, 
  -67/216, 0, -1/8, 31/36, 553/720, -1/2, 3/8, -13/27, -1879/4050, 17/16, 
  311/216, -32353/32400, -23/18, -55/24, -2419/1080, -1/48, 1097/1440, 
  2149/1080, -49001/129600, 25/8, -11/36, -1679/540, -79/108, -16/27, 161/54, 
  1/6, -3/4, -1/216, -25/108, -3/4, -1/12, -23/12, 3/8, -82/27, -37/24, -3/2, 
  113/24, -1/4, -11/24, 11/8, 2, -89/24, 0, 0, 0, 0, 1, 0, 1/2, 1, -3/4, 9/4, 
  1/2, -2, -1, 1, 1/2, -1/2, 0, -83, 0, 84, 1/4, 0, 174, -348, -1/2, 202, 
  -202, -3/2, -3/2, 0, 0, 0, 0, 0, -303/4, -303/4, 101, -101, -303/8, -303/8, 
  3/2, 1, -1/2, -1/2, 1, 0, 2, -1/4, 19/4, -7/4, 12, 2, 3, -4, -7, 4, -5, 3, 
  -10, 3, -5/6, -1, -5/6, -3/2, 0, -25/4, 0, -3/4, 0, 0, 1/2, 5, -5/2, 1/6, 
  -2, 1, 1/6, 0, 2, -4, 0, -6, 0, 3, -3/2, 0, 3, -8765/24, 0, 8765/24, 509/8, 
  -8765/48, 0, 8765/48, 509/8, 1123/16, 0, 0, 275/4, 0, 3/2, -9/4, -29/16, 0, 
  0, -37, 0, 0, 0, 6, 9/4, -19/2, -185/4, 7/2, 1, 3, 7/2, -4/3, -5, 18, 9/4, 
  323/12, 43/4, -311/8, -163/6, -9/4, -203/12, -32/3, 9/2, 0, 1/2, 0, 23/3, 
  -3/2, -61/2, 365/8, -121/8, 105/8, -137/8, -4, -5/2, -30, -19, -39/2, 4, 
  227/8, 135/4, 19, -207/8, 45/8, -23/2, -77/8, -4, -1/2, 1/2, -1/4, 1/4, 
  -1/2, 3/4, 1/3, -2, -61/12, -439/4, -1/4, -17/6, -1001/12, 1/2, -2/3, 37/4, 
  485/4, 995/12, -23/2, 1/2, -1/2, 1/4, 1/4, 1/2, -7/4, 499/2, 25/6, -53/2, 
  -2, 1/2, -27, -116, -749/3, 497/2, 84, 85, -497/2, -1/4, 1/2, 3/8, 199/16, 
  1101/64, -933/64, -597/32, 2983/192, -543/16, -3801/64, 543/16, 369/16, 
  161/4, 82147/1200, 56/3, 1591/90, 7637/108, 0, -11/6, -3/2, 11/6, 11/6, 
  4/3, -81/16, 0, -47, 0, -82147/1200, 0, -3317/120, 649/15, 92011/1200, 
  -1143/40, 93/2, 14987/600, 17917/144, 1247/48, 412/5, -19/2, 85/4, 
  -68683/800, 104947/2400, 30689/2400, -8213/60, 143/40, 18413/300, 7733/120, 
  10451/60, -427/40, -233143/1440, -243349/1440, 6449/864, 19/12, 101, 47/2, 
  -11/9, -160253/2400, 3/4, -8173/60, -9631/120, 104597/2400, 6803/80, 
  1079/60, -125/8, -8411/480, -215233/720, -1/3, 0, -19/12, -5/4, -1/3, 1/2, 
  0, 11/12, -89/12, -1/6, -1, -4, -4, -4, 4, 1/4, 1/4, 2, 17/6, 0, 1/2, 
  83/12, 0, 3/4, 465/32, 869/32, 1065/64, -137/8, -1739/64, 405/32, 3005/64, 
  9281/192, 3005/64, -2955/64, 5/2, -3899/192, -4379/192, -5/2, -3005/64, 
  -7147/64, -1253/64, 1273/64, 769/12, -7/2, -2, -3/2, -4/3, 10/3, 0, -5, 17, 
  -3, -17/2, 0, -3/2, -43/6, 5, 0, 11/2, 35/3, -18, -13/2, 4, 681/16, 
  -2953/48, 383/48, 3455/96, -557/32, 0, -1/2, -5/4, 3/2, 0, 0, 0, 5/12, 
  11/6, -5/6, -2/3, -2/9, 0, -1/8, 0, 1/6, 5/8, -1/2, -5/6, -1, 0, 0, 25/4, 
  1/2, -1/4, 0, 0, -13, -4, 3/4, 29/4, 761/48, -1607/96, -21451/96, 
  30961/240, -337/16, 16/3, 23891/96, 39/16, 1325/96, 129/32, 2921/32, 5/12, 
  -557/96, 1/2, -3/2, 109/96, -2, 3/64, -235/64, 2, -3, -13/12, -3/2, 
  -151/32, 43/64, -4, -5/2, 701/24, 2059/16, -563/30, 3257/192, -7299/80, 
  -1091/64, -991/24, -26665/192, -1643/96, 133/24, 361/96, -1761/32, 
  -1235/192, 2129/96, -557/48, 6, 28/3, -122/3, 10, -4/3, -5/6, 20/3, 25/6, 
  50/3, -1, -5/3, -2647/36, -8/3, 571/9, -34/3, 5/3, 527/36, 23/3, -119/9, 
  -11/3, -1/12, 0, -7/12, 0, -1/12, 0, -5/6, 0, -2/3, 3/4, -15/16, -17/3, 
  -11/4, -3/4, 1/4, 71/4, 1/6, 0, -5/3, -1, -1/2, -9/8, 0, 29/4, 47/12, 1/3, 
  -4/3, 41/64, 41/64, -41/64, -41/64, -8/3, -41/32, 41/32, 51/2, 13/3, 
  -2785/36, -1421/15, -380/9, 51/4, 267103/1920, 449/4, 13/6, 624241/3840, 
  -2785/72, -9577/60, -190/9, -518201/3840, 54043/1920, 624241/3840, 
  -518201/3840, -391159/1920, -30961/96, -9103/192, 184819/1920, 33527/288, 
  13/12, 22729/120, 2131/192, -201739/1440, 355/24, 150259/1440, 52/3, 
  71593/1920, 414137/2880, -306553/1920, -3133/240, -17893/96, -8911/192, 
  -337/15, -3859/96, 13/12, 283079/1920, 2419/192, 7927/480, 275/24, 
  874763/2880, 9679/64, 1891/40, 679669/5760, -64273/320, -3, 3/4, 3/2, 0, 0, 
  15/4, -9/4, -7/32, 15/4, 379/2, 445/4, -165/2, -41167/240, -239, -2989/120, 
  21/5, 4609/20, 343/2, -957/10, -551/5, 0, -7871/30, -40867/240, 407/10, 
  -869/120, 17657/60, -1042/15, -4933/15, 863/10, -19/20, 44183/1200, 
  34129/2400, -347/10, -100763/1200, 477/5, 5/6, -251/20, 103/10, -247/18, 
  44183/1200, 159/4, -19/20, -979/20, -87383/1200, 859/10, 5891/120, 
  -91391/1800, -2197/60, -1009/5, 1, -23/8, -59/4, 15/4, -1/4, -47/4, 45/8, 
  5/4, 37/2, 47/24, -5/2, 283/24, -153/8, 139/12, 37/48, -305/48, -2, 221/16, 
  -47/24, 1/2, 1, 103/16, 1/2, 67/8, -129/8, -179/48, 9/8, 21/32, -463/48, 
  -31/4, -8, -51/8, 115/48, 2/3, 3/2, -1/4, 3/10, 89/24, 19/8, 3/2, 341/216, 
  -7/24, -53/72, -149/72, -37/72, -41/36, 25/108, 413/108, -59/18, 0, 
  259/240, 79889/21600, -1, -2363/180, -193/108, 1/15, 0, -1/4, 11/4, -97/36, 
  -3/4, -5/3, -43/16, 77/96, 43/24, 9/8, -1/8, -11/4, -1/3, -1/4, 113/18, 
  39/32, 43/48, 109/36, 5/3, -1/4, -37/8, 533/24, 71/2, 12, 6, -7/24, -93/4, 
  1/8, -83/4, -13/3, -143/16, -122/3, -111/4, -445/24, -23/6, 35/3, 767/24, 
  413/24, 11/3, -883/48, 89/16, -883/48, 1/2, -629/48, 397/24, 247/12, -35/8, 
  -85/96, -71/6, -83/16, -275/48, -9/4, -19/2, 83/48, -1/2, -2, -9/2, -1/2, 
  -23/3, -715/24, -173/8, -359/8, 943/24, -15/2, 11/2, 19/6, -5/6, -85/4, 
  73/12, -19/24, -39/8, -1/36, 2753/72, 1/3, 161/12, 331/12, -1/4, 511/12, 
  -953/12, 161/8, 257/12, 143/24, 26, -2747/72, 97/24, 30, -49/8, -605/24, 
  -27/4, 1/8, 995/12, 111/4, -107/4, -11/4, -70, -19/2, -19/12, 89/4, 19/4, 
  -3/4, -809/8, 33/4, -1, 31/4, -31/4, 5, 49/4, 21/2, -29/6, -997/12, 343/6, 
  145/2, 118/3, -160/3, -73/4, 829/8, -423/4, -45/4, -29/2, -1019/12, -151/3, 
  187/6, 105, 29/6, -13/24, -22/3, -15/4, -193/24, 51/8, 15/4, -9/4, -47/24, 
  25/4, 31/24, 4801/384, 847/128, 227/96, -757/384, 395/48, -1129/192, 
  -773/128, 1151/128, 1625/192, 11/2, 1, 11/12, 15, 2, -661/64, -1395/128, 
  115/48, 661/192, -3/2, -10, 7, -7, -43/8, -475/24, -233/24, 17/2, 1543/36, 
  233/24, -17/2, -1661/72, 121/24, 17/3, 1219/72, -1/4, -1289/144, -127/8, 
  1313/144, 3, -5/3, -259/36, -1/3, -41/6, 91/12, -793/72, 77/8, -109/12, 
  -7/6, -37/8, 115/24, 1181/72, 143/18, 1/2, 1541/72, 31/96, -1279/48, 
  -127/24, 17/9, -533/40, 19/6, -9/2, 29/108, 231/400, -19/6, -107/108, 
  87091/3600, -37/18, -58/15, -3301/240, 193/12, -53711/2400, 18031/600, 
  -817057/43200, 227/240, 6791/360, 210601/14400, -8461/2160, 1963/120, 
  -1655/48, 79/4, -2207/480, 1609/48, -6389/960, -26233/720, 1933/60, 
  -107693/960, 2863/144, -65/16, 183/2, 107/6, 1903/432, -185/8, -57/8, 
  -115/16, -3/2, 19/4, 14, -1/2, 7/2, -141/16, -91/24, 47/4, 3/4, 3/2, 1/16, 
  17/8, 41/16, 7/2, 103/16, -281/48, -65/8, 21/2, 13/2, -57/8, -13/2, -77/24, 
  -107/8, -13/2, 7/32, 23/8, -29/4, 29/4, 29/4, 3/2, 17/48, -1/8, -35/12, 
  74/9, -97/12, 1/4, 0, 0, -61/36, 0, 0, 19/24, 0, 19/8, 13/36, -11/2, 
  -359/36, 11, 17/2, 45/8, 1/8, -1/4, -1/8, 1/4, 1/6, 5/12, -13/4, -13/12, 
  -5/6, -29/18, -1/2, 13/24, 5/6, 83/72, -29/8, 107/36, 49/72, -75/16, 1/18, 
  443/144, 1/2, -5/8, 29/40, 515/72, -11/4, 0, 503/108, -73/12, 55/36, 
  469/18, -49/36, 929/72, 617/20, -1/4, -85/36, 11/108, 1067/216, -205/72, 
  17/8, -403/240, -31453/10800, 89/8, 1279/360, -1405/216, 7/32, 4937/384, 
  4025/384, -275/64, -209/16, -2027/96, 2491/128, -2, 3833/128, -1/2, 
  -895/128, -10253/1152, 2605/384, 3353/192, 497/72, -1611/64, 915/128, 
  -581/128, -4739/576, -73/24, -11501/384, -1819/64, 2389/128, 1657/64, 
  -2525/128, -3559/128, 10259/1152, -4789/192, 2443/768, 419/36, 3157/384, 
  -5735/128, -1059/256, 1077/128, 1129/32, 1/6, 97/24, -141/16, 63/8, 29/6, 
  -61/16, -17/48, -5/3, 229/48, 8/3, 73/24, 169/96, -17/2, 23/24, -151/96, 
  -59/16, 5/24, -197/96, 757/96, -97/96, 1/2, -23/5, -50/9, 2, 2, 127/108, 
  13/4, -127/36, -391/36, -107/36, 32/15, -67/12, 259/9, -634/45, -321/16, 
  -1625/72, -353/60, 1283/180, -331/10, 25/6, -31/36, -25/108, -80/27, 25/9, 
  2, 127/80, 82111/21600, 1, 2513/180, 193/108, -67/30, 10537/3600, 
  -19097/3600, 1307/60, -1327/60, -149/18, 8/3, -119/12, 11/12, 11/4, -9/4, 
  51/16, 53/96, 7/32, 209/24, -65/6, -15/8, -23/8, 203/24, -49/12, 25/48, 
  113/16, 191/96, -43/24, -517/96, -85/6, -889/96, -99/32, -559/96, -77/24, 
  -1/2, 3/5, 13/4, -25/12, 0, 611/108, -101/36, 55/36, 679/36, -37/36, 
  965/72, 1861/60, 0, -7/24, -469/240, 23/24, -175/24, 47/72, 17933/3600, 
  -95/24, -121/24, -22051/14400, 11/3, 13/4, -351/40, -25/24, 1607/480, 
  6981/1600, -889/2880, 3/4, 4849/1440, 19/12, 49/72, 737/240, 1/96, -13/2, 
  -19403/7200, -1227/32, -4991/2880, -363/40, -289/64, -35663/4800, 
  -8549/1440, -131/32, 289/48, -379/96, 3839/192, 99/16, -2, 821/96, 21/8, 
  -575/64, 199/32, 5593/64, -1633/120, -47/16, -25469/480, -227/48, 13/4, 
  -1109/96, 11/192, -887/96, -3075/32, -37/32, 9/8, 95/32, 797/96, -23/8, 
  -259/8, -2429/192, 4835/192, 335/32, -1863/64, -2441/96, 961/24, -157/48, 
  -259/64, 7/16, -81/8, -271/64, -2605/192, -271/16, 557/48, 11/4, -127/20, 
  -17, 19/8, -107/32, 1987/480, 2289/64, -73/24, -4621/320, -67/12, -9/2, 
  743/72, -103/24, 457/160, -7303/192, 22613/2880, -43/24, -233/72, -823/36, 
  85/24, 1531/160, -37/32, -863/192, -961/960, -10591/288, -7/3, -6149/1440, 
  5419/576, 361/80, 103/48, 211/64, -417/64, -133/192, 323/576, 1361/192, 
  -1/2, 31/24, 403/108, -4, -5/24, 371/160, 19063/2880, -33/8, -73/4, -1/18, 
  1/15, 0, 1/8, 1/12, 91/9, 17/36, -751/36, -7/18, 43/4, 7/48, 7/9, 73/12, 
  325/36, -223/36, -89/9, 1/12, 83/12, -1/12, -13/18, 17/4, 0, 0, -9, 23/3, 
  -389/12, 65/64, -331/48, -891/64, -397/192, 21/8, -1141/96, -1609/192, 5/2, 
  113/48, 4, 1407/256, 2265/128, 2767/256, 223/24, 605/32, -449/48, 
  -2659/256, -10969/768, -4453/192, 125/24, 79/8, 6619/256, 4723/768, 273/8, 
  959/384, -755/128, -11/768, -12799/384, -2315/384, -591/64, -531/64, 
  1721/192, -23/24, 31/24, 9/8, -3/4, -1, 83/8, 23/12, 7/24, -305/24, -5/8, 
  -67/24, -11/4, 7/24, -95/6, -497/24, 137/12, 83/36, -7/8, 1457/72, 13/9, 
  -3203/320, -9153/128, -13901/576, -9/2, -821/60, -322961/5760, -395/9, 
  103/6, -173/20, 13/6, 188783/11520, 77725/6912, 35/6, -16009/1920, 5471/72, 
  -2323/60, 3119/1152, 815/144, -2741/36, -139/24, 323221/5760, 28525/768, 
  1683/128, 2345/64, 44585/576, -247/16, 84869/2304, -138811/2304, 
  -331547/5760, 35047/1152, -40861/360, -9017/768, 17947/384, 14459/576, 
  -107/64, -20/9, 2347/576, -169/192, 2893/192, -73/54, -125/144, 353/96, 
  547/108, -127633/21600, -46/9, -8207/576, 599/768, -3631/256, -4817/21600, 
  -126811/10800, 127633/21600, 277571/11520, -31369/11520, 174197/21600, 
  -3467/540, -1823/576, -49/576, -19627/768, -421/24, -1727/96, 25/4, 
  -2445/256, -779/192, 175/16, 8321/384, 479/72, 10795/768, -269/24, 
  1501/128, -1301/192, 1/2, 6/5, -1/2, -3/4, 5/2, -4113/800, -35/24, -619/72, 
  18277/7200, 11/2, -97/240, 1141/120, -35/24, 15317/4800, -5191/800, 
  9623/7200, -5, -1171/180, 11173/2400, 4667/360, -149/36, -4/3, 191/36, 
  -1/4, -37/540, 82463/3600, -703/36, 5137/540, -122363/3600, -25/9, 11/2, 
  -287/135, -31/12, 3721/720, 5383/240, 726449/21600, 73/36, 413/36, 31/40, 
  -287/54, -6/5, 47/60, 151/9, -17/12, -77/20, -92/5, -305/9, 79/30, 884/45, 
  -1/2, 241/90, -7913/432, -37/48, 383/60, 6605/144, -1217/60, -97/72, 
  -31/12, -295/24, 23/9, -17/15, 2021/45, -14513/540, 2, -167/10, 1553/20, 
  25562/135, -593/24, -1559/120, -335/8, -2699/60, -17627/1440, 17/12, 
  -20941/360, -134759/720, -29063/360, 7087/144, 217/144, -287/216, -215/72, 
  -119/36, 1534/15, -31/18, -2522/45, 509/30, 397/12, -2403/20, -98173/720, 
  9/2, 42329/360, 239/90, -1073/36, 55/6, 3857/180, 397/12, 49/6, -919/180, 
  551/60, -3/4, -49/108, 32569/3600, 103/60, 124/27, -29063/3600, 47/72, 
  -9059/720, -1141/80, -11/24, -197347/21600, 14027/21600, -36253/10800, 
  -1469/720, -2423/360, -158147/21600, 8357/540, 7927/360, -697/72, -71/4, 
  -28547/1350, 1861/120, -131/480, 56/15, 2087/40, 45767/21600, -11761/360, 
  -5699/90, 171/4, 21/2, 353/30, 173/4, 21/8, 997/360, -116/27, -5/4, 
  -16/135, -2121757/21600, 3175/216, -2039/360, 92731/800, 475/72, 343/144, 
  29/80, 97/8, 428069/10800, 322439/10800, -1058749/8640, 311/720, -2641/180, 
  -1374083/21600, -5599/1080, -149/12, -33/2, -3/2, -444/5, -1, -9/2, 
  3563/400, -75503/400, 1383/10, 107/4, 41/4, 105/4, -43/4, -2307/8, 414, 
  17/4, 809/8, -1/4, 9017/12, -167/4, -7643/12, -271/16, 3, 39/2, -6/5, 
  363/10, 839/20, -1229/16, 4327/64, 6461/64, 15151/40, 5/4, -69/16, 89/4, 
  -45/16, -27/20, -498/5, -2183/20, 297, -4339/12, 8695/24, -5253/10, 873/5, 
  27/4, 15, 5699/400, -60997/2400, -6431/20, 67/2, 0, 21/2, 39/8, 0, 0, 
  -241/16, -399/40, 579/8, -2003/24, 691/40, 3499/96, 1781/48, 939/40, 
  -11651/80, 5487/80, -69/8, 283/20, -2291/100, 947/60, -539201/2400, 
  -19931/2400, 225611/1200, 107/10, -107/12, 2771/16, 183/16, 2729/48, 
  -5123/1440, 12895/96, 24673/480, -2009/288, -13543/240, -881/96, -139/32, 
  4741/80, -817/32, 535/32, -2329/96, 15/16, -1217/192, 8/3, -255/4, 
  -1499/240, -101/5, -4637/160, -131/32, 1757/1200, 3763/48, 1723/80, 
  -10057/120, -601/12, 1803/80, 9023/1440, -22067/96, -8773/80, 2177/288, 
  -1101/128, 1847/128, 55/4, 231/64, -2119/128, 26/3, 3801/128, 245/64, 
  -41/32, -123/16, 1455/8, 229/6, -167/12, -3791/24, -303/4, 409/6, -1907/12, 
  31, 3121/24, -155/8, 4295/24, 1355/12, -1937/12, -4361/24, -7, 1273/480, 
  3613/12, -693/8, 43/60, -1087/4, -5739/160, -198325/768, 24505/1152, 
  326627/3840, 173495/1152, -72907/1280, 507/8, 307861/3840, -4523/384, 
  1689/32, -2/3, 5759/40, -513/20, -2339/15, 1/2, 8201/240, 5057/60, -399/16, 
  -3/8, 152803/1200, 1003/80, -1204097/14400, 2129/48, -613/8, 5879/240, 
  -679/8, 82783/1920, -338/25, -31421/1920, 11213/1920, -228803/9600, 
  -1787/240, 623/128, 31711/384, -257/384, -13625/192, -18641/640, -1017/8, 
  -7455/64, 351/8, 324449/960, -3339/640, 150527/1280, -6311/144, 
  -255559/1280, -2251/576, 11601/256, -28391/80, -729259/3840, 55391/384, 
  -2791/640, -87/80, 5813/800, -376/45, -21583/320, 29665/384, 1607/128, 
  -57/32, 761/64, 201/16, -63/32, -37/12, 23/12, -943/24, 1263/40, -521/16, 
  -16229/400, -2461/120, 101/8, 25621/2400, -1267/120, -2129/24, 1575/16, 
  -169/16, 1019/16, 148/3, -271/30, -76/3, 739/18, -29243/1800, 2254/45, 
  -8897/1800, 43/18, -213/8, -1489/15, -973/36, 29/10, 203/90, -8/3, -387/10, 
  161/6, -3517/120, 107/8, -4375/144, 37/20, -6187/60, -69/8, 1235/24, 
  -4829/144, 9871/144, 68, 4819/240, -809/720, -545/48, 8191/180, -415/16, 
  2167/120, 80311/480, 5957/16, 17255/96, -11069/120, -2401/48, -210, 
  -648811/960, -19969/192, 2339/24, -2129/10, 10853/480, -31099/160, 
  21811/960, 28861/480, -1613/60, -115069/1200, 493/96, -553153/7200, 
  30893/400, 280409/4800, 2662/15, 83711/320, -1531999/14400, 383/120, 
  39007/240, 3173/96, 1163/48, -207301/960, 35/8, -522037/1920, 2185/72, 
  943/24, 542737/1152, 34253/180, -196747/2880, 16751/960, 1859/192, 
  10511/2304, -84539/768, -9731/240, 40091/3600, -34129/4800, 11093/480, 
  943/40, -781/24, 803/20, 41/12, -415/96, -19/6, -20653/240, 23423/192, 
  7627/72, 30155/288, 683/5, -233551/3600, 232871/1920, -67055/576, 
  -252013/800, -94141/960, -11791/80, 2063/96, 25761/80, 209693/480, 567/32, 
  9181/160, 2575177/1920, -539/5, -112183/120, -452659/960, 23329/80, 
  46887/640, -7693/4800, -91/4, 28513/240, 23443/640, -13863/160, 
  401783/9600, 14959/640, -4589/20, 534643/960, -703787/640, 2344573/4800, 
  5284073/3840, -2372453/11520, 0, -3/2, 0, 0, 3/2, 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, 
  3/2, -1/2, -1, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/4, 1/8, 0, 3/4, 3/8, 0, 
  1/4, 0, 0, 1/4, 0, -1/2, -1/4, 1/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  -1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/4, -1/4, 
  -1/4, -1/4, 0, 0, 1/4, 1/4, 0, 1/2, 1/4, -1/4, -1/2, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/4, 1/4, -1/4, -1/4, -1/2, -1/4, 1/4, 
  1/4, 1/4, 1/6, 1/8, -1/4, 0, 0, -1/6, 0, -1/8, 0, 0, 0, -1/4, -1/6, -2/3, 
  -1/4, 5/12, -1/4, 1/2, -1/8, 2/3, 1/8, -1/8, 0, 0, 1/8, 0, 0, -1/8, 0, 
  13/24, 0, 1/6, 0, 0, -1/6, -13/24, 1/4, 0, -1/4, 0, 3/8, -5/12, -1/8, -2/3, 
  -13/24, -1/12, 1/6, 2/3, 3/8, 13/24, 1/8, 5/12, -1/8, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 1/8, 1/4, 1/16, 1/8, 5/24, 5/48, 5/24, -1/24, 
  13/48, -1/8, -1/48, -1/12, -1/4, -1/3, -1/48, -1/4, -1/2, -11/48, -1/6, 
  -5/16, 7/48, 0, -1/24, 0, 7/24, 1/3, 1/8, 1/8, -1/8, -25/48, -19/48, 
  -11/48, -7/16, -11/48, 1/12, 5/24, 13/48, 1/4, 2/3, 7/48, 1/2, 29/48, 0, 0, 
  -1/48, -19/48, -1/8, 13/48, 1/3, 1/16, -1/16, 1/48, -5/24, -1/3, -1/8, 
  -7/48, 1/16, -1/4, -3/8, 1/3, 5/24, -1/24, -4/3, -1/24, 23/24, 1/4, 7/24, 
  -1/24, 1/12, 37/24, -2/3, 1/2, -1/12, -1/24, 5/4, -17/24, -1/4, 1/3, -7/12, 
  -1/4, 1/24, 1/4, -3/4, 37/24, -3/8, -37/24, 13/24, 7/8, 9/8, 7/24, -13/6, 
  19/12, -13/24, -11/24, 1/12, -3/8, 5/6, 19/24, 1/8, 7/24, 1/24, -5/12, 
  -5/6, -3/8, -17/24, 0, 1/4, 1/4, -3/8, 5/12, -1/3, 5/24, 7/24, -5/4, 0, 
  -1/2, 11/24, -1/24, -1/4, 1/2, -5/24, -1/6, 53/24, 1/4, 1/6, -1/24, -1/6, 
  5/6, -23/24, -1/4, 1/3, -5/6, -1/4, -1/4, -5/12, 3/4, -1/6, -1/3, 7/4, 9/8, 
  1/2, -1/24, 7/24, 1/6, -11/4, -23/24, -19/24, -7/24, 1/3, -1/8, 1/6, -1/4, 
  1/8, -47/24, -7/12, -3/8, 25/24, 0, 1/8, -3/16, 1/8, -1/6, 5/48, 1/12, 
  -5/8, 0, -1/8, 1/24, -1/48, 1/8, 5/24, 1/8, 0, -1/24, 13/16, -1/24, -1/48, 
  23/48, 1/8, -1/24, -1/8, 1/6, 1/12, -1/4, -1/8, -1/3, 1/8, -1/8, 1/8, 
  -1/12, -1/8, 3/8, -1/24, 7/8, 9/16, 5/48, -5/48, -5/16, -9/8, -5/48, 
  -19/48, -4/3, 13/48, 17/48, -5/48, 5/24, 1, 1/12, -3/16, 1/16, -47/48, 
  19/48, 11/24, 1, -5/24, -2/3, 0, 3/2, 0, 0, 1/2, 0, -1/2, 0, -3/2, -1/2, 
  -9/8, -3/4, -3/8, 1/2, 3/2, -9/8, -3/4, -3/8, 0, 0, 5, 5, 5, 2, 0, 0, 7/24, 
  -13/12, 7/24, 7/24, 11/24, -5/8, -11/24, -5/8, -5/8, -7/12, -5/8, -5/8, 
  -7/12, 0, 0, 1/2, 11/12, 1/2, 1, -13/12, -1, 3/2, 1/2, 11/12, 1, -7/12, -1, 
  -1/24, -5/12, -5/12, 0, -37/24, -1, 11/24, -23/12, -23/12, 3/2, -7/12, -1, 
  -49/24, -5/12, -5/12, 0, -37/24, -1, 11/24, 0, 0, 0, -2, -5/4, -4, 51/8, 
  51/8, -15/8, 51/8, 41/8, -51/8, 5/4, 4, -51/8, -51/8, 15/8, 0, 0, 0, 1, 0, 
  4, 2, -2, -4, 4, 4, -2, -8, -2, 2, -4, -2, 0, 2, 0, 4, 0, -1, 0, 1/2, 0, 0, 
  0, 0, 0, 3/4, 1/3, -7/3, -3, -71/12, -3, 3, 3, -51/8, -41/8, 67/8, 0, -1/2, 
  0, 0, 0, 1, -1, 1/2, -1/2, 0, 0, 0, 0, 5/4, 5/4, -1, -9/8, 0, 0, -2, 1, 0, 
  0, 0, 0, -3/2, 0, 3/2, 1, -1/2, 5/2, -5/2, 0, 0, 0, 5/2, 0, 0, -1/2, 0, 0, 
  -3/2, -1, 1, -1/2, 5/12, -5/12, -1/8, -5/24, 5/12, -5/12, -5/12, -7/24, 
  7/24, -3/2, 3, -3/2, -5/8, 5/12, 1/2, -1/2, -5/8, 5/4, 5/8, 0, 0, 0, 0, 0, 
  -5/8, 5/4, 5/8, 0, 0, 0, 0, 0, 0, 0, 0, 4/3, -4/3, 0, 0, 0, 0, 0, 0, 0, 0, 
  7/3, -1/3, 0, -2, 1, 1, -1, 1/2, -1/2, -1/4, 1/2, -1/2, 1/4, 3/2, -1, -1, 
  1, 1/2, -11/8, -1/3, 1/3, 1, 25/12, -25/24, 0, 0, 0, 0, 0, 5/12, 11/6, 0, 
  -5/12, 0, 0, 0, 0, 0, 0, 1, 25/12, 0, -37/24, -5/4, 49, 49, 23/4, 25/8, 
  -49, -49, 23/8, -23/4, -3/2, -5/8, 5/8, 5/8, -15/8, -37/32, 0, 0, -61/16, 
  -1391/96, 61/16, 605/32, -3/2, 549/32, 123/32, -17/2, 123/32, -667/32, 
  -395/32, -133/32, -133/32, 19023/512, 14551/512, 137/24, 21/32, -17/2, 0, 
  -293/32, 0, -133/32, -51/16, -37/32, 15183/512, -203/32, 263/96, 
  -11727/512, 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, 5/2, -5/2, 5/2, -5/2, -2, 1, 2, -2, 1, -31/4, 
  1/8, 25/8, 1, 0, 0, 0, -1, 0, 0, 0, 0, -3/2, -3/4, -1/2, 5/4, -5/4, -5/4, 
  5/4, -5/4, -9/4, 5/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 1/2, 0, -1/2, -1/2, -5/12, 3/2, -31/24, 5/6, 17/24, 0, 
  5/12, 0, 1/6, -7/12, 2, 2, -2, 1/2, -1/2, 11/12, 4/3, -4/3, 1/3, -11/6, 
  -1/12, 3, 1, 7/6, -3/4, -3/2, -7/4, 1/2, -11/6, 17/6, 8/3, 5/12, -17/12, 
  -11/6, 7/6, -3/4, 17/6, -7/4, -1, 5/2, 13/6, 17/6, -1/6, -13/12, 141/32, 
  111/32, 121/16, 71/32, -101/32, 5/8, -111/16, -1911/32, -201/4, -141/32, 
  -2325/256, -421/256, 239/32, 1013/256, -61/16, -991/64, -511/64, 1/16, 
  -211/16, -585/32, 849/32, 893/24, 2465/64, 179/16, -1015/64, -5505/256, 
  -3809/256, 1735/64, 22567/256, -13/4, 2273/32, 121/32, 5255/32, 2757/32, 
  155/48, -395/96, 157/32, -43921/256, -75579/512, -335/96, 36931/512, 61/16, 
  997/64, -1155/16, -121/16, -11917/64, -1515/16, -727/32, -567/32, 1313/64, 
  625/32, 817/64, 47153/256, 48253/256, -1789/64, -42459/256, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 59/8, -5/2, -15/4, -11/8, 15/8, 
  15/4, 17/8, 5/2, -5/2, 7/2, -31/4, 0, -59/8, 21/8, 25/8, 15/4, 1, 0, 23/8, 
  3/8, -15/4, -27/8, 0, 0, 0, 0, -2, -3/4, 3/2, 25/8, -47/8, -1/8, -1/8, 0, 
  0, 0, 0, 0, 0, 0, -79/18, 1/2, -83/18, -1/72, -1/4, 0, 1/4, 0, 1, 1/2, -1, 
  -1, -1/2, -31/36, 7/36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3/8, 0, -1/2, 
  0, -1, -3/8, -4/3, 11/12, -3/4, 95/24, 1/12, 1, 1/2, -1/2, -3, 1/2, -1/2, 
  -1/2, 0, 0, 0, 0, 0, 7/24, 0, 0, 0, -1/8, -1/4, 0, 0, 0, 0, 1/8, 1/2, 0, 0, 
  0, -1/4, 1/2, -349/72, -425/72, 0, 7/4, 3/8, 59/72, 293/36, -1/4, -59/36, 
  1/4, 85/72, -1/2, -119/72, 1/4, 15/8, -147/2, -147/2, 0, 0, 0, 0, -3/2, 
  3/2, -3/8, 17/4, -115/16, -15869/384, -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, 0, -3/8, 3/8, 3/8, 
  3/8, 0, 3/4, 0, -3/8, -3/8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 1, 3/8, 1/2, -5/8, -1/2, 0, -7/8, -1/2, 0, -1/2, -3/8, 1/2, 
  1/2, 0, 23/8, 35/12, -21/8, -5/4, 53/12, -5, -43/24, 1/8, 1/4, 5, 1, -5/8, 
  5/8, 5/4, -5/4, 0, -1/16, 0, 95/8, -2, 1, 231/16, 23/8, -5/4, 25/8, -3/8, 
  5/8, 3/8, -25/8, 5/4, -7/2, 3/8, -47/8, 3/8, 45/32, 45/32, 45/32, -45/32, 
  15/8, -57/8, 1, -5/2, -21/8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, -3/8, -3/8, 3/8, 3/8, 3/4, 3/8, -3/8, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, -1, 3/8, -1/4, 1/4, 3/4, 1/8, -1/2, -1/4, 0, -1/8, 1/2, 10/9, 
  5/18, -10/9, -7/9, -1/2, -5/9, -2/9, 1/2, 31/72, 5/12, -31/72, -2/3, 1, 
  -1/2, -1, 1/2, -1, -5/9, 41/36, -1/3, 1, -1/2, 7/36, 1/4, 5/8, -3/8, 0, 
  -3/8, 0, 1/2, -1, 1/2, 0, 0, -1/2, 0, 1/2, 0, 0, 1/2, 1/2, 5/4, -1, -73/36, 
  -1/2, -1/2, -1/2, -1, -3/8, 5/3, 13/72, 0, 1/8, 0, 0, 0, 0, 0, 0, 0, -3/16, 
  0, -17/8, 0, 0, 0, 11/8, 23/4, 0, -3, 0, 1/8, 0, 1/8, 1/16, 0, 0, 0, -1/16, 
  0, 9/8, 0, 0, 0, 0, 23/16, 17/8, 0, -3/2, 0, 0, -1/32, 0, 0, 1/32, 0, 0, 0, 
  0, -1/32, 0, 0, 0, 3/32, 3/8, 7/32, -55/32, 0, 0, -1/2, 5/16, 0, -119/32, 
  -5/16, 11/8, -41/32, -7/4, -37/12, -61/72, 247/72, -7/18, 45/16, 409/72, 
  1/4, 17/12, 403/72, -20/9, 43/36, -349/72, -1/2, -61/24, -5/6, 4/3, 1/36, 
  -7/8, -10/9, -59/36, -29/12, 149/72, 71/36, 13/12, 11/12, -13/24, 1/2, 
  -7/4, -19/24, 1/2, -19/24, 1/8, -1/2, 5/8, 1/8, 0, 11/8, -17/12, 1/3, 
  43/18, -65/72, -89/18, 7/18, -161/72, -181/36, -1/4, -1/2, -38/9, 31/12, 
  -43/36, 151/36, 1/2, 85/36, 5/6, -4/3, -10/9, 29/6, 10/9, 31/18, 29/12, 
  -77/72, -53/36, -13/12, -17/12, -59/24, 1/2, 5/4, -5/24, -1/8, 5/18, 
  -35/72, -49/9, 5/8, 1/36, -19/12, 1/8, -1/2, 0, -139/36, 95/24, -19/36, 1, 
  1/2, 17/18, 7/12, -1/3, -5/18, -439/72, -5/6, 1/2, -35/36, 139/36, 155/24, 
  1/8, -26/9, 25/18, -35/24, -47/72, -83/72, 19/24, 0, 0, 0, 0, 1/2, -1/4, 
  -1/4, 0, 0, 0, 0, 0, 1/4, 1/2, 0, 0, 0, -1/4, -7/9, -265/72, -52/9, 1/4, 
  -53/18, 0, 103/36, 329/36, 133/72, -119/36, 25/18, 5/4, -65/72, -101/72, 
  19/24, 951/8, -2521/16, 1235/32, 31391/64, -17327/192, -66091/96, 
  -10517/96, -12655/16, -3697/4, 11789/48, 5047/8, 2985/16, 64879/512, 
  -82581/512, -135815/512, -123/16, -200237/192, -240413/768, 376471/1536, 
  8411/12, -11759/256, -1/8, -1545/32, 101087/512, -1/8, -48449/128, -51/32, 
  -22, -17737/128, 57535/128, 5687/32, 37417/128, -4771/64, 20551/24, 
  56075/64, 21379/32, 135629/384, -29255/128, 0, -64373/96, -22097/48, 0, 
  -101/4, -98271/256, 48063/256, -24455/96, 247099/256, 22289/48, 94241/256, 
  -25579/256, -610309/768, 55/32, -951/8, 1283/16, 24425/128, 2833/16, 
  12499/128, -25661/128, -1067/16, -25087/128, 0, -951/8, -54329/64, 
  -41295/64, -63883/192, -73787/384, 24599/128, 9635/16, 193351/192, 
  74267/192, -5831/16, -1067/4, -14979/32, -1/8, 27411/512, 188667/512, 
  -4131/32, 249731/192, 216247/128, 878371/1536, -177997/192, 102299/512, 
  1/8, 4373/32, -1499849/1536, 1/4, -1177/32, 22869/64, 51/32, 22, 25949/128, 
  -3513/8, -5687/32, -42009/128, 4771/64, 951/8, -59747/64, -35191/32, 
  -6497/8, -100187/192, 34335/128, 951/4, 241133/192, 14833/24, -5831/16, 
  1177/32, -15985/128, -1/8, 108655/256, 139263/512, -56455/256, 66677/64, 
  89495/128, -1264535/1536, -106493/96, -30145/128, 1/8, 39907/256, 
  570349/1536, -47/32, -723/32, 2237/32, 0, -23/2, -2509/32, 0, 819/32, 0, 
  -5099/24, -723/32, 6677/24, -607/16, -5099/24, 0, 1483/32, 27913/512, 3/8, 
  -1659/32, -53661/256, 1541/32, -9355/24, -1129/4, -49255/512, 5135/24, 
  -59927/512, -3/8, -1775/32, 415159/1536, -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, -3/8, 3/8, 3/4, 3/8, 
  3/8, 0, 3/4, -3/8, -3/8, -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, 0, 0, 0, 0, 0, -3/8, -3/8, 0, 0, 
  0, 0, 3/8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 1/8, 1/4, 
  1/2, 0, 1, -1/8, 3/8, -1/2, 3/8, -1/2, 1/2, -5/8, -1/4, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, -3/8, 3/4, 1/2, 9/8, 0, 7/8, 
  1/8, -1/4, -3/8, -5/8, -1/4, 3/4, 3/8, -1/4, 33/4, 31/8, 1, -1/8, -195/16, 
  455/48, -19/8, 229/24, 83/6, 61/4, -19/16, 63/16, 109/24, -13/4, 0, 167/8, 
  -195/16, 5/3, -223/48, -9/8, 175/6, 229/24, -55/24, 61/4, 305/24, 127/16, 
  -99/16, 62/3, 45/8, 49/16, 101/16, 0, 53/16, 1/16, 47/8, 153/16, 59/16, 
  -5/24, -5/24, 49/16, 0, 0, -9/2, 0, 1/16, 1/8, 47/8, 0, 109/16, 0, -5/24, 
  1, 2, 165/16, -11/4, 7/8, -29/16, 0, -73/12, -15/16, -29/24, 11/4, -61/8, 
  -33/16, 37/8, 65/16, 0, -71/8, -5/8, 5/6, 151/16, -21/16, -289/24, 89/16, 
  95/8, -85/12, -59/16, 73/16, 63/8, 7/16, 5/4, -105/8, 27/4, -5/8, 33/8, 
  5/2, -45/8, -515/48, -43/8, -101/16, -499/48, -15/16, 93/16, -5/8, 5/2, 
  -25/4, -17/4, -35/8, 25/8, 101/8, 25/8, -5/2, 17/2, 19/4, 29/4, -11/4, 
  -5/8, 1/16, -99/32, 15/16, -181/32, -67/16, 5/8, -1/16, -5/2, -33/8, 0, 0, 
  -1/16, 25/8, -5/8, 15/16, -179/32, -67/16, 0, 5/8, 0, 0, 1/16, -81/16, 
  59/32, -5/16, 117/16, 177/16, 0, -3/2, 0, 0, 31/16, -25/8, -275/32, 7/8, 
  69/32, -23/16, 5/8, 0, 89/12, 65/32, -9/8, 15/8, 0, -31/4, 0, -17/12, 
  57/32, 125/32, -5/4, -81/32, 0, 0, 0, 0, 0, 0, -3/8, 3/8, 3/8, 0, 0, 0, 0, 
  0, 0, 0, 1/2, -1/2, 1/2, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, -1/2, 0, 0, 0, 
  -3/8, 0, 5/8, 3/8, 1/8, 0, 5/8, 1/8, -1/8, -3/4, -1/8, 5/8, 1/4, 3/8, 1/4, 
  1/2, 1/2, -7/12, -1/2, -1/4, -1/6, 1/4, -1/8, -3/8, 1/8, 1/4, 1/8, 1/4, 
  3/8, 7/24, 1/24, 1/8, -1/12, -23/48, -1/8, 1/12, -1/8, -5/12, -1/4, -1/8, 
  1/8, 31/48, 1/48, -1/12, -35/48, 9/8, -1/4, -37/48, -1/24, -29/48, 5/4, 0, 
  -1/3, 23/48, 1/8, -13/48, -7/48, -1/8, 25/48, -7/8, 1/3, -13/48, -25/48, 
  -1/16, 1/4, 0, 0, 0, 0, 0, -1/4, 0, -5/8, 0, 5/8, 0, 0, 0, 1/4, 0, 1/2, 
  -7/12, 0, -3/16, 0, -3/8, 0, -289/72, -29/36, 11/4, -7/72, 1/16, -911/288, 
  -5/64, -2, 131/72, 1/4, -5/8, -1/8, 5/8, -1/12, -3/8, 1/8, -1/24, 5/8, 
  -1/8, -1/4, 5/12, -7/12, -1/6, 1/48, 5/12, -1/4, -3/8, 1/4, 1/4, 1/4, -2/3, 
  -1, 1/12, 1/16, 1/8, 9/16, -7/72, 3/8, 11/32, -5/48, -181/144, -21/64, 1/6, 
  -1/12, -77/72, -5/8, 131/72, 0, 0, 1/32, -1/32, 0, 1/32, 0, 0, -1/64, 0, 
  -1/32, 1/64, 1/32, 0, 0, -1/64, 0, 0, -1/32, 1/32, 0, -1/32, 0, 1/8, -1/16, 
  -31/9, 1/12, -67/36, 1/24, 5/12, -1/8, -1/4, 19/4, 5/12, 89/72, 3/16, -1/6, 
  11/16, -247/72, -1/4, 5/6, -1/4, -85/18, 5/4, -5/12, -373/144, -11/12, 
  205/48, 209/72, 7/144, -7/24, 299/72, 5/12, -1/12, -421/144, 13/6, 149/144, 
  0, 107/72, -29/24, 1/8, -1/4, -47/72, -17/18, -133/36, 1/12, -2/3, -29/18, 
  1/24, 5/12, 1/8, 1/72, 1/8, 3/8, 1/3, 155/72, 5/12, 71/72, 3/16, 1/8, 5/12, 
  1/8, -17/24, -1/4, 1/3, -1/8, 1/8, 5/144, 1009/144, 161/36, 13/24, -89/144, 
  35/6, 5/16, 19/24, -13/24, -1/4, -487/144, -451/72, -19/48, -91/72, -1, 0, 
  121/36, 5/16, 1/8, -13/48, -371/144, 13/24, -19/48, -25/18, 5/12, -1/6, 
  97/144, 21/16, -1/16, -1/2, -29/12, -1/2, 0, 0, 0, 0, -3/16, -9/16, 1/4, 0, 
  0, 1/8, 1/4, 0, -1/8, 0, 0, 0, 5/8, -1/8, -3/4, 0, 0, 1/8, 0, 0, -9/16, 
  7/8, -1/4, 0, -1/8, 1/8, 6, 331/36, 13/24, 11/9, 73/12, 5/16, -1/12, -1/8, 
  -1/4, -863/144, -19/48, 3/4, -11/24, 0, -85/72, -373/144, 11/144, -25/48, 
  107/36, 5/6, -7/48, -133/24, 1/3, 133/144, 67/48, -5/16, 349/144, -55/12, 
  -221/144, -1/4, -1/4, 1/8, 0, -19/48, 1/8, 0, -1/24, 1/4, -1/8, -1/4, 1, 
  -11/24, 0, 7/12, -1/24, -3/4, 1/24, 0, 1/8, 1/4, 1/12, 0, -1/12, 7/8, -1/4, 
  1/4, 0, -1/8, 0, -161/72, 5/18, 331/36, -1/3, 5/8, 37/6, 0, -3/4, -61/144, 
  763/288, -803/144, -35/48, -121/36, 5/24, 7/144, -37/72, -5/3, -121/144, 
  -1/24, 67/48, 5/6, 1/8, -67/12, 13/24, -1741/288, 35/72, 47/72, -3/16, 
  -1/24, -113/24, -5/12, -203/144, 17181/128, 951/16, 49/4, -5931/128, 
  -10287/64, -86641/128, 2853/16, -11477/96, -169255/192, 38039/32, -1243/32, 
  -151177/96, -37293/32, -10977/8, 66321/256, 599/16, -7107/64, 59575/64, 
  -19561/64, 34857/128, 6065/8, -140023/256, -385027/384, 27539/32, 20257/64, 
  -454/3, 89261/64, -552979/192, 0, 57117/32, 9095/32, -8293/96, -915559/192, 
  0, -67767/32, -105599/32, 0, 951/16, -951/8, 12015/64, 66321/256, 
  46873/128, -111907/256, -142809/256, 119303/256, 39711/64, -25345/128, 
  385/2, -40683/64, -385027/384, 22, 282049/384, 822757/384, -69461/128, 
  -1172257/768, -89333/256, 67885/96, 57117/32, -22577/32, -617107/192, 
  -85647/128, 0, -67767/32, -45611/96, 0, -951/16, -306491/256, -325615/768, 
  1255969/384, -769/4, 303979/384, 6256895/768, -63565/96, 5940211/768, 
  45301/12, 121, 159937/384, -1898083/384, 2725/96, -221383/32, -555161/256, 
  -12039/64, 700837/256, 384029/192, -66353/128, -1/4, 1/3, -1/24, -1/24, 
  1/2, 1/6, 1/8, -2/3, 0, -7/12, -5/6, -1/4, -1/6, 29/24, 2/3, -29/12, 13/24, 
  -17/12, -17/4, 55/16, -1/8, 35/12, 1/3, -15/8, 125/48, -5/12, 97/24, 
  -145/48, -13/6, -1/8, 1/8, -1/4, 0, -1/4, -3/8, 1/12, 1/12, -37/48, -11/12, 
  1/24, -23/48, 7/24, -1/6, 1/4, 5/6, 1/8, 1/2, 61/48, 2/3, 1/8, -1/6, 1/4, 
  -1/12, 1/6, 1/8, -23/24, -17/48, 5/8, 59/24, 157/96, 19/24, 7/96, -13/24, 
  -1/6, 1/8, 5/24, -105/32, -29/16, 5/6, -1/6, 0, -265/96, -37/32, -35/48, 
  7/96, 5/12, 0, 323/96, 55/48, 0, 0, 3/16, 0, 1/8, 1/8, 0, 5/24, -1/6, 0, 
  7/48, 1/24, -23/48, -3/8, -1/24, 0, -5/24, -1/24, 0, -17/48, 0, 3/8, -1/12, 
  0, 0, 0, -1/8, 0, 7/12, -17/96, 9/32, -9/16, 1/2, -5/8, -33/32, -13/12, 
  59/96, -1, 3/32, 3/4, -5/4, 133/96, 13/12, 1/4, 1/12, 3/4, 1/6, -17/24, 
  29/32, 27/32, 29/24, -19/32, 31/24, -23/32, -29/24, -7/12, -1/8, 3/16, 1/8, 
  -1/4, 1/8, 0, 5/24, -1/6, 0, 25/48, 1/24, -23/48, -1/8, -1/24, 0, -11/24, 
  -1/24, 0, -17/48, 0, 3/8, -1/12, 0, 0, 0, -1/8, 0, 1/4, 1, 55/96, -9/16, 
  -1/12, -313/96, -91/96, -1/6, 215/96, -5/6, 65/96, 3/8, -3/4, 125/96, 0, 
  5/12, 1/12, 17/24, 1/6, 0, 67/24, 61/96, -11/12, -107/32, 7/24, 23/96, 
  35/24, -5/12, 29/24, 37/16, -4/3, -5/4, 401/48, 1/16, 97/24, 93/8, 55/24, 
  11/8, -295/24, 29/16, 23/24, -241/16, -55/24, 99/16, -41/8, 55/16, 13/4, 0, 
  0, -117/16, -83/16, -1973/96, -37/24, -1/32, 0, -105/16, -149/16, -141/8, 
  -73/16, 25/24, -5/16, 77/12, -25/24, -6, 125/48, -69/32, -1133/96, -111/16, 
  617/48, -1043/96, 295/32, -329/48, 49/8, -193/32, 193/32, -49/8, 0, 1/4, 
  -23/4, -83/16, -1/4, -1/3, -1577/96, -11/48, 71/32, -1/4, -267/16, -149/16, 
  1/12, -1/2, -5/6, -5/12, -5/16, 97/8, -25/24, -33/8, -53/48, -47/32, 83/8, 
  -379/32, -527/96, 62/3, -1433/96, 137/24, -201/16, 21/16, -47/16, 293/96, 
  -203/32, 13/8, 21/16, 13/8, -35/4, 5/4, -267/32, -45/16, 5/4, 3/8, -7/4, 
  7/4, -365/32, -11/4, -45/8, 27/16, 5/12, 7/3, -257/24, -1/2, 297/16, -7/16, 
  -11/48, -89/6, -41/64, 4981/192, -65/16, 53/24, 319/24, 45/16, -145/96, 
  69/64, 1139/96, -7/16, -833/64, -109/32, -2077/192, -385/192, 59/12, 
  -863/96, -279/64, 279/64, 863/96, 3/8, -25/16, -29/48, 75/16, 29/16, -1, 
  163/32, -1/16, -25/48, -735/64, 115/16, -5/4, 59/24, 317/32, 45/16, -3/8, 
  23/12, -175/48, -29/16, -3/16, -451/96, -1381/192, 499/64, 721/96, 7/48, 
  -1/8, 11/8, 2749/192, 1/4, -3/8, 1/4, -7/12, 7/12, -1/12, -11/12, -5/24, 
  -1/6, 5/4, 0, -1/4, -1/6, 1/3, 13/24, 1/4, -1/6, 5/8, 5/4, -4/3, 1/2, -1/6, 
  1/24, -5/24, 1/12, -23/12, 0, 1/12, -5/6, -1/4, -1/4, 3/4, 1/6, 1, 29/24, 
  -7/4, -9/8, 11/24, -23/24, -37/24, -5/4, 1/2, 5/24, -5/6, -17/24, -3/8, 
  1/8, -19/12, -1/8, 47/24, 7/6, -1/8, 7/6, -19/24, -1/4, 3/8, 1/4, -5/8, 
  17/24, -5/24, -11/24, 1/3, 25/24, -11/16, 29/24, 23/48, 1/4, -1/12, 1/24, 
  0, -7/12, 1/24, -11/24, -31/24, -47/48, -1/4, 1/12, -3/8, -5/12, -7/12, 
  -1/4, -1/8, 1/4, -3/4, -5/24, 5/24, -17/24, 3/8, -1/8, -19/24, 1/2, -1/2, 
  1/2, -1/4, 1/8, 0, 5/24, -1/6, 0, 25/48, 1/24, -23/48, -1, 1/2, -1/2, 5/8, 
  1/3, 0, 7/24, 1/3, -17/48, 0, -1/2, -1/3, -3/8, 1/2, 1/8, -1/8, 1/4, 9/8, 
  7/8, 7/24, -37/24, 13/12, -9/4, -9/8, -1/3, -35/24, -9/8, 1/24, 3/4, -3/4, 
  13/24, 29/24, -19/12, -1/12, -11/12, -5/12, -9/8, -1/6, 47/24, 25/12, 5/12, 
  17/24, -7/6, 1/4, -1/4, 0, 3/8, 0, 3/8, 0, -3/8, -1/4, -3/8, 1/4, -1/4, 
  3/8, 1/3, -5/24, 3/8, 5/4, 0, 1/4, -7/12, -11/24, -17/24, 11/8, -13/8, 1/3, 
  31/24, -11/12, -5/6, 1/4, -3/4, -1/3, -7/4, -9/8, 7/12, 5/4, 13/24, -3/2, 
  1/4, -1/8, 47/24, -2/3, -1/4, 3/8, 0, 7/12, -7/12, 0, 11/12, 5/24, 1/8, 
  -5/4, -1/8, 1/4, -1/12, 1/24, 1/4, -5/3, 1/3, 7/12, -1/12, -23/24, -1/12, 
  -1/24, 31/12, 0, -1/4, 1/12, 0, 0, -5/8, -1/3, 41/48, -13/24, -1/4, -1/2, 
  -1/24, -7/12, -1/4, 1/4, -3/4, -1/2, -7/12, -1, -1/6, -31/24, 7/4, 11/8, 
  -5/24, 5/24, 9/16, 7/24, -3/16, -227/72, 13/24, -17/24, -43/96, -19/48, 
  -115/144, -29/64, 3/8, -1/8, 1/6, 41/24, 1/8, -25/12, -19/24, -119/72, 
  -3/8, -1/12, 131/72, 1/4, -1/8, 0, 0, -5/24, 1/6, 0, -25/48, -1/24, 23/48, 
  -1/4, 1/24, 0, 1/12, 1/24, 17/48, -1/8, 1/12, 0, 1/8, -1/8, 3/16, -1/8, 
  1/24, 1/48, 1/8, -1/24, 1/48, 1/8, 1/4, 1/3, -1/8, 1/24, 1/8, 1/12, -1/8, 
  1/8, -3/8, 5/16, 19/48, -13/48, -5/48, 5/48, 5/48, -1, -17/48, -1/12, 3/16, 
  -1/16, -11/24, 5/24, -19/48, 2/3, -1/4, 0, -1/4, 0, 7/48, -1/12, 1/6, -1/8, 
  -1/24, -1/8, 1/3, -1/24, 23/24, 0, 1/2, -1/4, 11/24, -1/4, 5/12, -13/24, 
  1/8, 1/12, -1/6, -1, 1/24, -13/8, 0, -1/12, 1/4, -1/16, 0, 1/2, 1/2, 2/3, 
  -1/4, 1/4, 0, 1/6, 1/4, 7/24, 17/8, 617/144, -5/24, -23/48, 175/48, -1/12, 
  0, -1/3, -15/8, 1/48, -1/2, -1/4, 61/144, 41/288, 1/48, 3/8, 185/72, 47/48, 
  5/8, 143/48, 7/48, -1/2, 23/144, -1/6, 5/24, -65/144, -17/24, 1/4, -17/24, 
  19/24, 1/4, -1/6, 139/144, 65/48, 25/48, -19/6, 29/48, 11/24, 23/24, 
  -13/48, -5/8, 383/288, -7/48, -5/12, -23/48, -19/24, 13/24, 19/36, 41/48, 
  1/4, -9/16, -11/4, -1/16, -17/48, 11/48, 5/24, 1/2, 1/4, 5/16, 1/16, 
  951/32, -951/16, 12015/128, 611/32, -157617/512, 65913/512, 66321/256, 
  257039/384, -122189/768, -303471/512, 383123/1536, 907555/1536, 
  -420805/1536, 951/16, -29473/256, -2991/16, 951/32, 218657/384, 4177/64, 
  -313243/384, 93/8, -140243/768, 2588837/1536, -32009/128, -1016917/768, 
  -140023/512, -5047/64, 38785/128, 951/16, -899/48, 497233/384, -80635/384, 
  -97555/48, -1293415/1536, -37293/64, -5047/64, -157713/128, -894593/768, 
  -37293/64, -943/32, 1/8, -1/16, 9/16, -630811/768, -198361/1536, 
  270841/768, 198643/768, -96065/384, -14231/16, -1303531/1536, 1534613/512, 
  696799/512, -967/32, 90691/768, 35935/384, 66337/256, 1784759/768, 
  -691891/512, -2848255/1536, 3685867/512, 1548827/384, -3767651/768, 
  12623/64, -503719/768, -128391/128, 587571/128, 1774133/384, 
  -19017311/1536, 45409/16, 731783/384, -606511/48, -385071/64, 2833/48, 
  -1/24, -5/8, 234607/768, 270169/768, 196435/768, -5501327/1536, 
  -1704073/1536, -13/48, -727/6, 12141/128, 66145/256, -3895985/768, 
  -3237685/1536, 5694745/768, -661525/384, -128313/128, 8039761/768, 
  1092179/256, -36421/384, -23/48, -3/16, 833735/512, 200531/768, 5/24, 
  41091/32, 199651/768, -6309389/1536, -384417/128, -66353/256, 199059/256, 
  -1/8, 1/4, -1/8, 0, 1/6, -5/24, 1/6, 0, -1/48, -25/48, -1/24, -1/48, 23/48, 
  0, 1/8, 0, -1/12, -1/8, 0, 0, 1/12, 1/24, -1/4, -1/12, 1/48, -13/16, 1/8, 
  -1/8, 1/8, 5/24, 1/24, 1/4, 1/24, 1/3, 1/8, -1/8, 1/12, 23/48, -37/32, 
  -17/48, 1/8, 1/6, 263/96, -5/48, -1/24, -49/48, -61/24, -1/48, 21/16, -1/4, 
  -3/16, 1/48, -1/48, 7/48, -17/16, 5/12, -1/16, 149/48, -13/12, 1/2, 1/12, 
  0, 7/16, 9/8, -11/8, 0, 5/24, -5/8, -1/4, -11/24, 23/96, -73/48, -21/16, 0, 
  133/48, 1/12, -47/24, 13/48, 25/24, 143/96, 17/48, 11/6, -89/48, 5/4, -1/6, 
  -41/48, -41/48, -5/12, 71/48, 31/12, 1/16, -1/16, 1/48, -5/24, -11/4, -9/4, 
  -7/48, 61/48, 1/8, 0, 5/16, -35/16, -7/24, 3/8, -647/96, 11/16, -1/16, 
  71/96, -337/96, 1/48, -49/96, 0, -7/24, -181/48, -5/24, -81/16, 49/48, 
  -9/16, -947/96, 29/96, -1/4, 13/48, -3/8, -95/48, -245/48, -1/8, 5/48, 
  -49/48, -49/48, -59/32, 71/24, -455/96, 307/96, -59/32, 19/48, -13/48, 
  13/24, -223/96, -11/16, -301/48, 245/32, -61/32, -1/12, -13/24, 703/96, 
  -5/48, -55/24, -7/12, 37/96, 5/8, 5/24, 131/32, -99/32, 155/48, -71/32, 
  13/8, -13/8, 5/8, -27/16, 3/16, 1/16, 1/6, -5/48, 13/24, -15/16, 3/16, 
  -1/8, 25/32, 13/48, 1/48, -25/48, -1393/192, -23/48, -4/3, 251/192, 97/16, 
  0, -119/96, -1/16, -25/96, 167/96, 501/64, 1/4, -7/24, 61/32, 1/8, -5/8, 
  15/8, -3/8, -13/16, 1/24, -7/8, -3/16, -31/16, 1/48, -1063/192, 41/192, 
  1301/192, 415/192, -581/192, 239/96, -49/48, -45/32, -39/32, -3/16, 3/16, 
  -1/16, 11/8, 47/48, 857/192, -81/64, -15/64, -247/64, -1/8, 3/16, -1/8, 
  7/24, -7/24, 1/24, 11/24, 5/48, 1/12, -5/8, 0, 1/8, -1/24, 1/48, -1/3, 
  11/48, -1/48, -1/8, 7/48, -5/48, -1/12, 71/48, 0, -1/8, 1/24, 1/8, -1/3, 
  -1/48, -11/24, 1/6, -41/48, -1/8, -1/8, 1/6, -1/6, -1/8, -1/8, 0, 0, 1/4, 
  -17/24, 0, 31/48, 7/8, 0, 9/16, 1/4, 1/16, -11/48, -1/4, 0, -1/24, -17/24, 
  -1, -31/48, -1/2, -3/16, -1/24, 3/16, 37/48, 1/2, 0, -1/12, -13/48, 1/4, 
  1/4, -9/16, -1/16, -1/12, -23/24, 1/16, -9/8, -47/48, -11/24, 9/16, -1/8, 
  77/48, 41/16, -1/2, -5/24, 0, 17/24, 3/8, -1/8, 47/24, -7/6, 1/8, -47/24, 
  19/24, 5/12, 5/12, 5, -5, 125/24, -125/24, -125/24, 5/8, 775/256, 775/256, 
  -775/256, 0, 0, -2/3, 0, 2, 0, 0, 0, 0, -4/3, 0, 0, 0, -1/2, 0, 0, -1, 
  -3/2, 1, 25/2, 25/2, -25/2, -3/4, -21/4, 3/4, 51/8, 3/8, -5, -5, 1/2, 0, 
  7/8, 5, -1/2, 0, 0, 3/4, 3/2, -1, -3/4, -1/8, 0, 0, 0, 0, 5/2, 5/2, -5, 0, 
  0, 0, 0, 1/12, 1/12, -5, -5, 0, -1/12, -1/12, 5/2, 5/2, 2, 7/24, -7/24, 
  -7/24, -31/24, 31/24, -11/24, 17/24, -17/24, -5/12, 13/12, -13/12, -5/12, 
  1/2, -1/2, 1/2, -1, 1, 17/24, 13/12, 7/24, -7/24, -7/24, 5/24, -5/24, 
  -1/24, 23/12, 5/12, -5/12, -5/12, -7/24, 5/8, -5/8, -5/12, -11/24, -5/12, 
  5/12, 5/12, 7/24, 5/8, -4/3, 4/3, 4/3, 13/12, 5/24, -5/24, -5/8, -103/48, 
  -55/144, -2, -85/72, -2597/144, 997/72, 5/6, -5/6, -5/6, 7/12, 5/24, -5/24, 
  -5/12, 3/8, -85/3, 85/3, -88/3, -10, -4, 5/8, 5/8, 5, 0, 0, 0, 0, 0, 0, 0, 
  -1/2, -5/8, -5/8, 155/24, -155/24, -65/12, -1, -5/4, 5/4, 5/12, -1, 0, 0, 
  0, -29/8, 459/32, -51/8, 8, -871/16, 127/24, 127/48, 0, 0, 127/24, 127/48, 
  0, 0, 7/3, 7/3, 0, 1/6, 4/3, 3, -2/3, -4, -2, 2, 4, -2, 4, 2, 0, 0, -14/3, 
  0, 0, -13/2, 0, -1, 0, 0, 8/3, 0, 4/3, 53/12, 53/24, 0, 0, 0, 0, 0, -7/3, 
  -7/3, 0, -10/3, -3, 3, 125/36, -107/36, -25/2, -25/2, 25/2, 5, -1, -1, 1, 
  1/2, -5, 161/36, 1, -143/36, -1/2, -3/2, 179/36, -79/48, -361/24, 227/36, 
  139/24, -25/3, -25/2, -161/24, 25/6, 25, -25, 75/2, 75/2, -75/2, 19/2, 8/3, 
  1, -25/12, 1/24, 551/24, 167/8, 5/12, -491/24, 19/2, 25/8, 1, -19/12, 
  -11/24, 5, 10/3, 10/3, 10/3, 1, 9/4, 61/9, -1/6, 10/3, -10/3, 0, 19/6, 
  10/3, -71/16, 7/2, 97/72, -7/16, -59/12, 23/4, 11/2, 5, 3, -2, -5, 11/8, 
  7/3, -13/3, -73/24, 0, 7/12, 0, 0, 83/24, -5, 15/4, 0, 0, 0, 0, 223/36, 
  -283/36, 1/8, 0, 0, -5/4, -223/36, 283/36, 5/2, -1, -1, 1, -3/2, 1/8, 
  349/72, 1, 0, 17/12, 0, 0, 1, 73/48, -19/6, -73/24, -803/48, -3457/576, 
  2363/192, -757/192, -79/24, 7/12, -295/36, 673/48, 5/9, -767/144, -79/48, 
  -803/48, -5, -1, 193/18, -23/12, -7/3, -5/12, 23/12, -41/16, -10/3, -1, 
  43/24, 91/6, 91/12, 53143/192, 379/24, 61385/384, 36990935/133632, 101/8, 
  11285921/22272, 4255267/5568, -48287/384, -10670425/22272, -41/24, 17/24, 
  -3, 51/8, 91/6, 529/12, -13/2, -6671/64, 5/12, -59303/384, -3/2, -6671/64, 
  187/12, -13293/128, -189/16, 1419/64, 179/16, 103519/768, 101/16, 575/16, 
  -6081/64, -191/48, 262691/768, -123/16, 17, 10037/64, 133/16, 56647/768, 
  -21/16, 17, 8479/64, 133/16, 75343/768, 4, -5, 0, 5369/64, -5/2, -3/2, 0, 
  0, 1/2, 0, -2639/192, -5/2, -62537/384, 0, -5613/64, 5/2, 0, -189/16, 
  2195/64, 179/16, 102775/768, 0, -8511/64, 0, -5/4, 8127/64, -123/16, 
  8809/64, 395/16, 133/16, 53647/768, 0, 8871/64, 0, 51/8, -8487/64, 265/96, 
  107/192, -1698923/36864, 2434735/36864, -77651/30720, 1151/2048, 
  -13433/2048, 5431127/61440, 325921/30720, -5855227/61440, 0, -1/2, -5, 5, 
  0, 0, 0, 0, -5, -17/6, -10, 1/2, 10, -10, -10, 19/2, -25/2, 10, 4, 2, -2, 
  -4, 2, -4, -2, 5, -5/2, -5/2, 5, 5, -5/2, -5, 5/4, 0, -5, 5, 5, 5, 0, 0, 
  -5, 5, 0, -5, -5, 0, 0, -5, -5, 0, 31/12, -15/2, -13/4, 0, 8089/80, 5/3, 
  -85/3, 5/3, -85/3, 35/6, 5, 5/3, -5, 5/6, 5, 5/3, -5, -4, -8089/80, 10/3, 
  0, 5/6, 0, -5, 0, 5/2, -1/12, 0, -7/4, 0, 29/12, -1/6, 0, -11/6, 0, 53/12, 
  -5, 5, -5, -5, 31/12, -29/12, 0, -5, 5/2, -5, -121/12, -13/4, 31/12, 
  -29/12, -31/12, 31/12, 61/12, 625/3, 7/24, -7/24, -7/24, 31/6, -31/6, 
  -61/24, 35/8, 581/24, -287/12, -311/12, 1/18, -1, -2, -557/24, 137/12, 
  19/12, -19/12, -19/12, 7/3, -1/2, 1/2, -9, -239/48, -83/24, 71/12, 71/12, 
  -21/16, -83/24, -71/12, -3/2, 5/12, -5/12, -5/6, -3/4, 1, -1, -13/6, 5/12, 
  -19/12, -53/24, 53/24, 29/12, 1, -7/24, -103/48, -55/144, 11/6, -11/6, 
  -5/4, 7/6, -77/24, -101/24, -211/72, 577/36, 71/12, 167/6, -83/12, 50/3, 
  -50/3, -10, 53/3, -71/12, -97/6, 37/6, 1/4, 0, 1/2, 0, 0, 0, 12, -12627/64, 
  -11731/32, 9/2, 0, 0, 0, -161/48, 0, 0, 0, 0, 559/16, -301/16, 0, -167/16, 
  0, -2/3, 1, -4, -4, 2, 8, 2, -1/4, 0, 47/4, 0, -91/24, 250, -250, -25/2, 
  -75/2, 25/2, -563/24, -515/24, -11/12, 503/24, -13/12, 107/24, 0, -89/36, 
  -103/16, -2, 11/2, 97/72, -65/48, -25/4, 85/12, 89/12, 11/12, 0, -19/6, 0, 
  391/72, 71/36, -143/24, -40/9, 29/6, -3/2, -493/72, 3/4, -115/72, 179/36, 
  2, 2, -2, -169/36, 23/12, 107/18, 7/12, -365/96, 365/96, 365/96, 5945/288, 
  1565/72, -1565/72, -35/32, -79/24, 7/12, -169/36, 865/48, 11/12, -53/18, 
  -767/144, -1/36, -1171/144, -2851/576, -25/2, 289/12, -25/6, -185/8, 
  -557/8, 13/12, 565/8, -1, 551/12, 251/6, 5/6, -491/12, -79/24, -133/72, 
  -1/6, 613/72, 49/8, 3/2, -133/72, 19/6, 613/72, 263/72, -10/3, 0, 3, 20/3, 
  -1/2, 19/3, 16/3, -31/6, -28/3, 295/72, -331/72, 3/4, -277/72, 179/36, 
  -15/4, 0, 0, 0, -3/2, -17/12, 17/12, 5/6, 5425/288, 2603/144, -3077/144, 
  43/32, -1441/288, 10571/288, -6373/288, -1823/72, -7841/576, -3133/288, 
  -77/64, -431/48, -125/18, -7333/576, -5/6, -365/288, 0, 774254497/222720, 
  -206635891/534528, -4269341189/668160, -7923499253/1336320, -6802793/7680, 
  391221617/178176, 1248498913/222720, 365980171/445440, 22739/192, 
  318712859/267264, 160392283/66816, -93959/384, -309471229/133632, 4249/384, 
  49554563/267264, -72869087/66816, 2615/384, 52755563/44544, -22763/192, 
  340521673/267264, 159771911/66816, 27367/128, -14309125/33408, -891/64, 
  -1085/32, 91/6, -36151/32, -11729/128, -11729/128, -91577/768, 29683/256, 
  -12545/128, 12545/128, -330811/768, 91/6, 118281/256, 175/8, 3577/64, 
  -99899/384, -355/24, 1067/96, -87/8, 1815/64, -17429/384, -355/24, 
  -33235/64, 123/8, -13905/64, -276785/384, -763/24, 16021/64, -3067/64, 
  5369/64, -5369/64, -1, -1/8, 57493/576, 1/16, 473/64, 47849/1152, 189/16, 
  -92255/384, -1973/96, -207/16, 27885/256, -121/16, 6685/384, 4887/64, 
  31/48, -62499/256, 123/16, -259075/384, -7849/64, -763/48, 351883/768, 
  1177817/18432, -2403763/46080, -102251/4608, 3325/1024, 1919/512, 
  -1106407/23040, 657749/6144, -149213/7680, 2217059/46080, 29497/3840, 
  217691/1280, 586325/6144, -1157/1536, -3023249/15360, 47975/2048, 
  -21080557/92160, 954575/36864, -558709/15360, 6063371/20480, 
  -1692046429/222720, 35571755/267264, 671093681/83520, 10939429111/1336320, 
  -17664481/14848, -309980249/133632, -11413997/11136, 346350037/267264, 
  -417697199/133632, 343699739/55680, -42810611/178176, -977687819/222720, 
  -994320289/222720, 34672321/16704, -9049/384, -844220147/267264, 
  -298358311/66816, 28765/192, 78513157/44544, 13537/128, 13491/128, 
  403813/768, -91/6, 4741/256, 14353/128, -10783/128, -124297/768, -91/3, 
  512701/768, 51/8, -779/32, 3017/96, -95/8, 1931/8, 107013/128, 179/8, 
  -40621/96, 0, -110941/288, -7671/64, 9205/96, 111661/288, 0, 8691/64, 0, 
  61/16, -8307/64, 1/8, -8887/36, -1/16, -1373/64, 116941/1152, 121/16, 
  289631/384, 6995/64, -193/48, -132741/256, -106519/6144, -2413393/92160, 
  469309/12288, 1740095/18432, 22691/2048, 2406973/30720, -301653/4096, 
  -7924447/92160, -345509/4608, -2413393/92160, 3532885/36864, 103127/7680, 
  -434623/15360, 593305/9216, -1825919/6144, 73601/1536, -1212187/23040, -5, 
  -5/2, 5/2, -10, -5/2, 25/2, 10, -25/2, 0, -5/2, -5/2, 5/2, 0, 0, -15/8, 0, 
  0, 15/2, 15/2, 5, 0, -5, -5, 15/8, 0, 22, -22, -129/8, 3, 10, -5/2, 1/2, 0, 
  -5, -23/6, -25/2, -25/2, 35/2, 10, -39/2, 3, 10, -5/2, 5/2, 0, -5/4, 0, 5, 
  0, 0, 25/2, 25/2, 0, 0, 0, 0, -97/24, -79/12, -877/48, 97/24, 281/16, 
  -281/16, -375/16, -25/24, 71/16, 22, 25/24, -10, 0, 15/2, 10/3, 0, -125/24, 
  -5/3, 5/3, -5/4, -5/12, -85/3, -5/4, -20/3, 5/4, -85/3, 10/3, 0, 5/6, 0, 
  -1/2, 0, 3, 7489/80, 0, -6, 10/3, 0, -125/24, 5/3, 0, 0, 20/3, 0, 5, -5, 5, 
  10, 7/3, 31/12, -8/3, -121/12, 31/12, -5/24, 5/12, 25/24, -25/24, -1/2, 
  13/36, 5/36, 1051/144, 31/48, -29/32, 29/32, 5/8, -13/12, -1/8, 13/12, 
  -1/2, -1/2, 1/2, 7/12, 11/21, 67/126, -3/4, -1, 5/4, 2, -1/2, 5/8, -5/4, 
  4/3, -1211/144, 401/144, -67/48, -607/288, 83/72, 607/288, 227/144, 
  751/144, 85/16, 511/288, -311/72, 823/288, 131/36, 241/72, -67/96, 55/144, 
  0, -9/2, 0, 9/2, 0, -5/2, 65/16, 19/36, -491/72, 25/12, -103/12, -43/72, 
  101/6, -797/144, 493/24, 247/12, -493/24, -61/3, 19/12, -4, 4, 2, 23/12, 
  -23/12, -23/6, 23/12, 23/12, 23/12, 83/48, 4357/288, -1301/48, -1217/72, 0, 
  25/3, 0, -25/3, 0, 1/2, -39/4, -103/6, 5/3, -259/48, 83/48, -73/32, -35/8, 
  57/16, -395/48, 5/4, 1/4, 5, 0, 9/2, -5, -19/4, -1/2, -5, -9/2, 1/4, 
  -17/48, -197/36, 0, -5, 0, 0, -1, -1/2, 1, 15/2, 1/2, -53/48, -79/48, 
  115/18, -5/48, -1, 7/6, 1/2, 101/96, -43/96, -1/2, 3/2, -5/32, 1/4, 0, 
  544991/512, -2699/64, 68027/64, -95335/512, -9073/64, -346295/128, 
  -1400661/512, -49, -544991/512, 43937/512, 95441/512, 1381461/512, 
  -22345/512, 27/16, -575/32, 521/32, -151/4, 1695/32, 577/16, 0, -3/4, 
  15/16, -33/32, -479/32, 0, 0, 29/8, 19/48, -1/2, -173/24, -4/3, 0, -31/48, 
  -1/6, 0, 63/8, 527/96, -223/48, -649/48, -271/96, 11/32, 335/96, 0, 7/32, 
  0, 0, 5/16, -1/32, 0, -17/32, -5, 4/3, 225/32, 19/8, 0, -1/32, 97/12, 1/32, 
  -1/8, 0, -25/8, -1/32, -1, -149/96, -137/32, 5/2, 0, 653/288, 0, 0, -1/8, 
  0, -3/2, -7/8, 0, -3/8, 1/2, 0, 0, -331/48, -37/24, -19/48, 89/16, -37/24, 
  0, 13/3, 29/48, 0, -101/48, -25/16, 91/48, -149/48, -125/48, 1/4, -37/48, 
  0, -113/96, -1, 0, 13/6, -1/16, 0, -1/4, 35/48, 185/96, 11/24, 1/24, 
  -295/48, 79/48, 139/16, -79/48, 413/24, -67/48, -1/8, -3/8, 1649/288, 0, 
  1933/144, 1223/48, -1649/288, -107/4, -593/48, 1/4, -1973/72, 73/12, 35/12, 
  331/24, -13/12, -331/24, -35/12, 19/16, -1/2, 227/72, 49/24, 5/12, 1/8, 
  -5/3, 0, -1/4, -23/6, -1/4, 59/12, 43/24, 3, -143/16, 3/8, 5/12, -61/8, 0, 
  0, -1/8, -1/2, 23/8, 19/12, 67/24, 2285/48, 1939/144, -1253/24, 79/8, 
  -1093/48, -5/2, 1/4, 5/4, -19/9, 53/36, -79/18, -3/4, 1/8, -1/2, -3/8, 
  -1/4, -1/8, 3/8, 1/8, 3/16, 1/24, -13/8, 3/2, 0, -1/4, -2, 0, 1/2, 15/8, 
  5359/72, 5/2, -1369/36, -727/9, -13/36, -829/144, -185/48, -56815/1152, 
  -55135/1152, 13/24, 137/36, 1051/144, 55759/1152, -31/9, 1/4, -15/4, 
  163/64, 35/12, 11/4, 2, 179/24, -79/48, -3/4, -3, 0, -59/6, -5/3, 3, 53/16, 
  931/72, 641/36, -2, -16951/576, -233/144, 23/4, 20092739/74240, 
  10628665/44544, -98, -5/16, 0, 0, 99/4, -21/16, -305/8, 42, 49, 5/16, 0, 
  1/8, -1/16, -669/16, 0, -19/8, -23/4, 86149/30720, -1966763/20480, 221/48, 
  -167/12, 5/12, -331/24, 137/12, 373/24, 11/12, 0, 1/3, -103/16, 359/16, 0, 
  11/4, -91/24, -117/4, -11/24, 47/16, -481/72, -59/32, 5/12, -65/96, -65/48, 
  0, 5/4, -13/12, -43/16, 461/48, 5/2, 25/16, 5/4, -247/48, -39/4, -10, 
  -97/48, 97/48, 97/24, -61/48, -97/48, -3/4, -47/8, 11, 0, -97/48, -97/48, 
  0, 0, 691/64, 691/64, 133/192, 133/192, 0, 0, -493/24, 5/6, -194/3, 163/4, 
  437/24, -493/12, -4, -521/432, -141/32, 141/32, 475/96, -425/24, -1811/96, 
  -319/96, 565/48, 1211/96, -141/32, -141/16, 0, -5/24, 77/12, -5/24, -5/12, 
  473/48, -5/3, -30, -3, 49/48, 5/2, 7/4, -5/4, -607/72, 0, -235/12, 53/9, 
  -47/32, 1505/144, 607/72, 5/4, -5/4, -5/2, 5/4, 47/8, -5/4, -3/4, 7/4, 7/2, 
  1/2, -95/84, 1, 31/72, 59/63, -625/6, -3/2, -37/24, 305/84, 1187/504, 
  2537/24, -5/2, -95/84, -135241/2772, 94/63, 1181/6, 118499/5544, 215/56, 
  97/63, 187345/5544, -5/2, -621725/1848, -51821/144, -273331/5544, 35/36, 
  489011/6336, 222809/336, 3670019/5544, 758125/6336, 135131/5544, 5/24, 
  -137/168, -406787/5544, 157/48, -310703/924, -11/3, -39547/792, 
  -357043/22176, 222809/336, 527287/1386, 752845/6336, 22628/63, 5/24, -5/6, 
  -6999655/11088, 8/3, 7/8, 1715/288, 85/32, -875/96, -79/288, 91/48, 
  -1769/288, -365/72, 1769/288, 841/144, 1829/144, 109/24, -4243/288, 
  -1231/72, -3269/288, 35/18, 3163/288, 0, 227/96, -173/72, -227/96, 413/72, 
  -151/48, 109/24, 2047/288, -817/72, 313/96, -89/16, 1649/96, -83/24, 
  -167/36, 1673/288, 167/36, -677/288, 173/24, 593/48, -197/6, -4, 439/96, 
  -605/288, -7/16, -3/4, -167/36, -7/32, 167/36, 31/32, -5/24, 593/48, -45/8, 
  -17/4, 1549/288, -151/32, -307/24, 1/2, 5/2, -1/2, -5/2, -1/4, 3/8, 1/4, 
  43/12, -23/6, -3/4, -151/72, -391/72, 0, 17/3, -427/72, -119/24, 3/2, -1, 
  -1/2, 19/6, 1/2, -3/2, 1/2, -151/72, -1/2, 1/2, -2/3, 1/2, -65/72, -17/24, 
  17/24, 17/24, 11/12, 1/3, -7/3, 2, 17/48, 0, -2, -5/12, -9/8, 46877/924, 
  637/6, 85/48, -278/3, -101867/5544, 5/24, -877/504, -781477/5544, -19/8, 
  -265677/2464, 5/12, 21/16, -94909/1848, 1543955/6336, 2804983/11088, 
  4207199/22176, -281771/6336, 4520881/22176, 53/168, 1145/504, 
  -987505/22176, 157/48, -406545/1232, 5/12, 1/16, 817/252, -337639/22176, 
  2817919/11088, 17/84, -274379/6336, 360431/1008, -5/24, -181/252, 
  -1829449/2772, 3/4, -19/16, 11/16, 25/6, 5/12, -3/4, -19/24, 31/24, 11/21, 
  -227/126, -5/8, -7/12, 335929/3456, -281/36, -495/64, -35/24, 235/288, 
  35/24, 5521/576, 299/96, 1063/192, 11101/576, 331/192, 22477/288, 1675/576, 
  -44851/576, -15259/192, 379/192, -1/4, -199/72, 313/72, 943/192, 4957/576, 
  3307/192, 2525/144, -369/64, -17839/576, -24845/576, 7775/288, -34/9, 
  15/64, -191/64, -173/192, -3809/576, -9/16, -5/2, -29/16, -35/32, 59/64, 
  8221/576, 15823/576, -19405/576, -16139/288, 7/4, -1723/288, -101/24, 
  1723/288, 91/24, 1327/144, 75/8, -463/96, -401/36, 265/288, -89/18, 107/72, 
  757/96, -851/48, 25/9, 123/16, -1745/72, -61/48, 505/24, -27/8, -2, 
  -7213/288, -475/48, 1445/96, 15/4, -1051/32, -4, -1/9, -181/48, 6, 1, 5/6, 
  737/96, 71/6, 109/24, -3/4, 25/3, 53/2, -25/3, -103/4, -17/6, -47/6, -83/4, 
  43/12, -23/24, 71/24, 371/36, -1037/48, 427/72, -1/2, -179/48, 1055/48, 
  -17/24, 7/12, -3/8, 61/4, -349/24, -5/2, 5/2, -37/16, 15/2, 215/48, -5/2, 
  1, 5/8, -9/4, -39/4, -5/8, 1/2, 95/48, -611/48, 2, -7/24, 13/4, 13/6, 
  -7/12, 0, 10, 0, -10, 0, 0, -10, 0, 0, -43/4, 71/9, 43/4, 29/6, -97/18, 
  -125/192, -1219/96, -77/32, 41/24, 299/96, -41/24, -17/24, 15/4, -233/96, 
  -43/32, -221/96, 161/32, 139/96, 43/4, 10, -10, -1/4, -1/4, -491/96, -3, 0, 
  -1/2, 1/8, -153/32, -1/2, -1/6, 0, -491/48, -55/24, 1/4, -1/4, 0, 93/16, 
  -1/2, 0, 1/2, 0, 0, -19/24, -8833/1800, 1469/1200, -9/8, 4063/900, 3, 3/2, 
  3/2, -3/2, 23/80, 1/8, 2821/900, 5731/1200, -3/8, 3/2, -9463/900, -3/2, 
  1/8, 2821/900, -23/80, -1/4, -547/80, -149/72, -1, -7/6, 3/4, 3/2, 339/560, 
  -1/2, 5/84, 0, 1297/4095, -16620586613/1069056, 16629890741/534528, 
  -4120900031/178176, 1011/16, -38313/16, 90535/128, -16684844639/2672640, 
  2832851/61440, 234660911/668160, 16680334559/2672640, 32876634613/2672640, 
  -32867530933/2672640, 4331731/20480, 11695172963/3563520, 167566511/222720, 
  57407531263/10690560, 60118322179/2138112, -89371849091/10690560, 
  -25665256317/1187840, 16606421621/1069056, 46125140773/5345280, 
  186113492833/10690560, 9182778727/3563520, -16594662005/1069056, 
  -1263047855/133632, -116318638777/3563520, -1675/32, 16615857119/5345280, 
  -1132315491049/21381120, -235373569421/4276224, 24316298557/712704, 
  1050506598893/21381120, 16, 39038192113/2672640, 17124488315/237568, 
  32895510133/5345280, 680156479789/10690560, 32848822453/5345280, 
  -16686032885/1069056, -54382669/5760, -11322529137/1187840, 1801/4, 
  -18912490253/1069056, -1690045610407/21381120, -60198250819/4276224, 
  35384217563/3563520, 23963174397/2375680, -15/16, -775/32, 2603/32, -61/32, 
  12491/64, 3149/32, 455/32, 155/48, -167/96, 675/32, 
  -1082677664039/10690560, -51449364209/356352, 440661843511/3563520, 
  769342267279/5345280, 100344643699/2138112, -3/4, -1/16, 0, -3/4, 499/96, 
  0, 0, -4673/192, -287/96, 491/48, 491/96, 0, 149/32, -225/32, 0, -173/48, 
  1/6, 71/16, 113/96, -29/3, -593/96, -1/2, 0, -107/32, 1/8, 27/16, 177/32, 
  -1/2, 0, -1/6, 0, 31/12, -421/48, 491/48, 271/32, -1, 0, -119/32, 0, 
  -53/16, 0, -1, 0, 0, 1/4, 79/48, -667/96, -1/3, 7/4, 0, 129/32, 469/96, 
  -1/4, -59/16, -1/6, 0, -1/3, 187/96, 0, 155/32, 181/48, -61/32, -107/32, 
  -3/8, 149/24, -713/48, -1199/48, -149/24, 1199/48, 5/12, -1/6, -5/12, 0, 
  -733/48, -25/6, 0, 11/12, -49/96, 7/12, 607/96, 683/96, 71/96, 0, -17/3, 
  -67/12, 53/24, 191/48, 305/48, -85/48, -49/96, 7/12, 607/96, 683/96, 71/96, 
  0, -17/3, -67/12, 53/24, 191/48, 305/48, -85/48, -1/32, 97/12, 679/96, 
  -21/8, 0, -25/8, -121/32, -1, -73/24, 31/96, -17/32, 13/8, 469/24, 37/16, 
  -37/16, -1/12, 0, 0, -1/16, 5/4, 0, 13/16, -499/24, -1/4, -37/16, 0, 
  -475/24, -1055/48, -269/72, -121/32, 111/16, -1139/48, 421/24, -1709/288, 
  85/48, 1/8, 1/32, 0, 0, -5/32, 1/8, 0, 1/32, 0, -4253/96, 1, 511/24, 
  -27/16, -997/48, -13/24, -1/4, -5/8, 1/4, 1/8, 2/3, 5/12, 0, 2/3, -2/3, 
  119/24, -187/48, 5/12, 0, 3/8, 0, 101/24, 89/24, -1/2, 0, 0, 1/2, 0, 
  -29/12, -67/4, 8/3, 425/48, 0, 0, -277/96, 0, 0, 0, 0, -9/4, -155/96, 0, 
  9/4, -635/96, -37/16, 15/16, 185/48, -23/32, 0, 13/2, -101/96, 0, 743/96, 
  1/4, 217/96, -23/96, 21/8, -15661/288, -1669/576, -1669/576, 15661/288, 
  1669/576, 21827/288, 21827/288, -21827/288, -643/48, -7645/144, -4717/48, 
  47/24, 5189/48, 1537/48, 2827/24, -5311/48, -815/48, -31/12, 4013/72, 
  -401/24, 191/48, -3/8, -1669/1152, 697/288, 12203/576, 63067/3456, -3/8, 
  -503/24, 373/6, -1511/48, 355/96, 12875/288, 85/72, -3647/72, -23243/288, 
  1/4, -269/24, -89/9, 21875/288, 169/24, 8539/144, 1277/16, -353/8, 
  -10565/288, 3575/144, -83/72, -121/48, 523/48, -3/4, 2243/48, -377/18, 
  -47/9, 233/12, 358/9, 8105/144, 845/72, -139/9, -8105/144, -469/72, -39/8, 
  -1319/72, 13/6, 415/144, -1, -83/3, -7045/144, 19151/144, 12959/96, 
  -24403/288, -5479/288, 869/36, 20653/288, 3209/96, -473/72, 5411/576, 
  305/288, -14671/1152, -9769/1152, -13/24, 3, -385/288, 9769/1152, 29/18, 
  -13195/576, -1453/288, -829/192, 9595/576, -59/24, -5/6, 1069/192, -11/4, 
  -1913/192, -1643/576, 32089/2304, -5123/1152, -1511/192, 3419/576, 
  -167105/2304, 160865/2304, 140897/2304, 17899/384, -6259/1152, 401/24, 
  -50255/1152, 3/8, -643/48, 24277/576, 94177/576, 3925/1152, 126205/1152, 
  1669/1152, 1537/48, -82933/576, -18859/288, -28607/1152, -23315/576, 
  10277/576, -12203/576, -34559/1728, 3/8, 647729/2304, -465149/2304, 
  -546191/2304, 154781/768, -34903/72, -1669/576, 193175/384, 21827/288, 
  643/48, -457/24, -4339/48, -47/24, -457/4, -1669/1152, -1537/48, 3481/48, 
  358/3, 5113/288, 31/12, -4013/72, 31739/576, 44491/3456, -1/8, 117/16, 
  -3551/32, 431/96, 211/6, 7/96, 11347/96, -1627/48, -167/16, 1087/72, 
  31753/288, -941/36, -13045/96, 101/9, 117/16, -497/32, 0, 319/96, 887/24, 
  3/4, 475/24, 587/24, -543/16, -1267/48, 1159/72, 1799/96, -1043/36, 
  -3493/96, 497/36, 7/8, 619/72, -169/24, -95/24, 833/48, -1/4, -571/12, 
  18173/288, 19/72, -607/144, 347/24, 119/36, -425/12, -133/72, 1499/48, 
  6295/72, 169/144, 21/16, -83/16, 35/36, 11/48, 347/24, 215/18, 101/9, 
  -25/24, 17/3, -425/12, 547/144, 1499/48, 7051/96, 6337/72, -10829/96, 
  -13/3, 32063/288, -31/24, 59/32, 379/8, 5069/144, 7781/96, -1/2, 145/24, 
  -931/24, -6853/96, -21/4, -1807/36, -11521/144, 377/8, 883/32, -3287/144, 
  1/12, 533/96, 2153/48, -5/4, 8863/288, 1/2, 13/3, -1331/48, -7039/288, 
  -11/2, -7915/144, 1021/72, 7133/48, -513/32, -2175/16, 3/4, -2/3, -15/2, 
  -10, -59/8, 17/8, -25/3, 21/8, 41/4, 55/12, -7283/144, 2303/48, 5345/48, 
  -2995/48, -1771/18, -1/2, -63/8, 27/4, 403/72, -17/8, -203/36, -47/72, 
  -107/12, -1135/36, 293/72, 25/8, -15/8, -5/2, -29/8, 5/4, 529/48, 25/8, 
  -31/8, -6935/72, 19/4, 1321/24, 3709/36, 329/72, 95/9, -358/9, -3631/144, 
  -1205/144, -713/48, 3631/144, 619/144, -1001/18, -5125/72, -95/48, 3925/72, 
  1/4, 86, 6265/72, 15/8, 0, 0, -403/72, -6671/72, 0, 203/36, -335/4, 
  -4321/36, 2861/24, 2039/72, 0, -5/8, 3/2, 15/8, 0, 0, -3/4, -17/8, 0, 5/8, 
  -1679/36, 47/36, 3/4, 267/16, -4393/72, -19763/576, 18131/576, 15/16, 
  6733/1152, 611/576, -13/48, 55291/576, 33179/576, -611/576, -33719/576, 
  -26455/576, 3/8, 1561/384, 38947/576, 1219/64, 7309/144, 13861/1152, 13/48, 
  -25093/576, -13237/1152, -599/64, -12455/576, 2731/384, -1245/64, 
  -2969/192, -3113/192, 5933/576, 15365/288, -25/4, 0, -1495/256, 
  -53471/1152, -13/24, -343/16, -1085/72, -51557/2304, -283/192, -12403/2304, 
  -30887/2304, 181/48, -1433/576, -271/192, -1373/36, -7451/192, 13/12, 13/6, 
  365/64, 7555/192, -155/24, 12691/576, -761/288, 659/96, -305/72, 59/24, 
  33/64, -785/192, -559/144, -29/4, 62821/1152, 0, 125/2304, -2797/1152, 
  -63445/1152, -1573/192, 12923/288, -133181/2304, -10319/192, 51865/2304, 
  153377/2304, 209/48, -485/144, -6, -16/3, -3353/1152, -3/4, -403/64, 
  1027/144, 1961/1152, -163/144, 20627/576, 7945/576, -3337/64, -12547/576, 
  5/3, 113693/256, -1331/48, 14617/96, 190237/384, -121277/96, -745/16, 
  2543/4, 3397/32, -50719/96, -597331/384, 111757/96, 247967/1536, -33, 
  18259/128, -10739/96, 1/4, -28865/128, -578549/768, 20025/32, -1/4, 1/8, 
  -1/32, 17689/128, 22927/256, -93257/96, 585583/1536, 117173/96, 
  86778055/178176, -154797089/2672640, 114210475/133632, 
  -109458862327/3257280, 38439484067/1797120, 156411919/15080, 
  -1591735601/898560, -174275026157/5211648, -1983805960897/52116480, 
  -37272276623/2004480, 54278033383/5790720, -1914244237/668160, 
  1646884006393/26058240, 273173/384, 373/16, 8407625113699/312698880, 
  40386279749/2895360, 300121614599/23162880, 205289533297/13029120, 
  -151511/192, -16911579911/3860480, -215598475507/52116480, -6277/16, 
  -12356445109081/260582400, -26888566175111/1302912000, 
  48540072131/10423296, 13401883162097/2605824000, -103/4, 
  -9173471129179/312698880, 3091/64, -125282371/6656, -246343284149/23162880, 
  -27138281033/2605824, 114915/128, 18769042271/3860480, 
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  1069/48, 335/24, -1775/8, 141/32, -141/32, 14/3, -547/96, 5/8, -917/48, 
  50/3, -1703/72, 1667/96, 0, 1147/24, 647/18, -5471/24, -395/32, 191/16, 
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  3317747/14784, 1/3, 182263/504, -6397/252, 29/6, -12365/336, 1217/36, 
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  5395/192, 155/32, -177/64, 27/8, 6455/576, 79/64, -1211/96, -1205/24, 
  2969/576, 6509/192, -503/144, 4253/576, 2987/288, -14717/192, -145/64, 
  25577/288, -1105/144, -13087/144, -21/16, 1265/192, 235/192, 13/32, 
  2945/144, 13/32, 9731/288, -21809/288, 0, -623473/3456, 0, 0, -13/288, 0, 
  -1, -2891/288, 1213/288, -9/8, 2609/288, -1213/288, -19/72, 43/48, 37/18, 
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  45385/768, 1085/48, -1861/16, -31/4, 141305/3456, 8, -4843/1152, -5/24, 
  139/48, 473/48, 305/48, 0, 131611/10368, 1184641/34560, -2613107/103680, 
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  53777/6912, -8/3, 3671989/34560, -162815/10368, -578909/25920, 44691/256, 
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  297/32, 6691/288, -523/24, -3457/96, 143/36, -737/18, -11983/576, 
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  145/12, 37/16, -2213/96, -215/48, -15/4, -35/3, 203/48, 25/12, 2, -7/3, 
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  29/48, 0, 3/16, 1/16, -9/32, -1/8, 0, 23/6, 13/48, -1/16, 3/32, 1/96, 1/16, 
  17/64, -3, 1/96, -295/18, -2543/144, 1/4, 1981/450, -1/4, 322/9, 873/16, 
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  -17976600629/2138112, -42999316613/3563520, 36540514043/1781760, 955/8, 
  -12109885781/2138112, 38929242851/7127040, 753/4, -4938665/768, -10585/4, 
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  -15905897077/2672640, 2955169/768, 16590132959/10690560, 
  248545315519/21381120, -7413776477/4276224, -13797725279/10690560, -1/4, 
  25/16, 1457/64, -3/8, -1/16, -13/32, 15203/576, -25/96, 1/2, 535/96, 
  -643/384, -25/96, 15617/1152, 419/192, 0, -10/3, -1/3, -1/4, 65/48, 813/64, 
  32791/384, 1627/192, -8167/128, -1135/192, -31/24, -403/24, -883/96, 11/48, 
  -359/64, 115/96, 1091/192, 113/192, -23/8, 1/2, 0, 1/2, 1/8, -3451/96, 0, 
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  1/6, -1/2, 0, 1309/48, -93/16, -491/96, -55/24, 0, 0, 2237/96, 3/32, -3/16, 
  4975/192, 2353/576, -5/32, -469/288, -3/32, 3/4, 0, 757/384, -65/96, 
  833/384, 1147/192, 0, 0, -1/2, -1/4, 65/48, 1649/192, 33175/384, 271/192, 
  -491/1152, 95/192, -31/24, 43/64, -973/96, 1/16, -139/64, 629/64, -379/64, 
  -1609/192, -13/6, -1/4, 0, 4531/192, -13/32, 1/12, 45/64, 461/72, 5/48, 
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  1/4, -299/48, -74309/9216, 86455/3072, -7577/288, -193/16, 31549/1024, 
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  0, 10993/576, 79/12, 1/16, -13861/576, -1/8, -193/16, 74309/9216, 99/8, 
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  -4615/144, 6551/96, 17/2, -303769/3072, 68489/768, 175/72, -259/108, 
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  15/4, -1/16, -559/96, -31/16, 407/48, 269/32, 283/48, -71/32, -25/12, 15/8, 
  1933/96, -5215/96, 325/96, -25747/288, -1693/192, -159/64, 0, -15/8, 
  159/64, 269/32, 25/12, 0, -1117/192, 0, 281/64, -43/32, -5/8, -857/192, 
  -185/32, -25/4, -1171/48, -5353/192, -111/16, 3/8, 11/8, -163/48, 
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  1/4, 5/4, 0, -1/4, -1/4, 9/4, -4/3, -5/6, 1/4, 0, 247/32, -1/2, 0, 
  2293/384, -51/128, 57/32, -57/64, -3/16, 0, 7/16, 0, 1335/128, 985/128, 
  -1/4, 1/6, -1/3, 3/16, 23/48, -781/96, 0, 491/32, 577/64, 1681/64, -55/32, 
  37/6, -1411/96, -7/96, -97/32, 5/24, -169/96, 53/24, 43/32, 475/64, -9/8, 
  1/4, 21/128, 19/32, 11/48, -25/48, 7/16, -41/48, 43/48, 0, 3199/384, 3/64, 
  1/16, 7/12, 0, -1/16, -43/32, -1399/96, 23/64, -121/384, -1747/192, -11/64, 
  55/96, 973/192, 2477/384, -115/96, 1373/192, 1, 1621/192, -471/64, -15/64, 
  439/144, -1363/576, -221/144, 937/576, -639445/4608, 1902131/13824, 
  -181697/1152, 434749/3456, 112187/18432, -127/12, 27593/6144, -677/12, 
  28571/512, 433/8, -19/12, -130687/576, -296761/4608, 1385129/4608, -3/8, 
  31/8, 13/2, 335/144, 83/32, 44173/576, 35209/288, -1783/288, -373/144, 
  38243/1152, 2549/192, 70763/1152, -7187/576, -4375/1152, -236033/2304, 
  6745/384, 126731/1152, 218899/1152, 19763/1152, -1109/1152, 4165/96, 
  -49531/576, 47/48, -9295/288, -12987/64, 281/768, -8257/288, -172925/2304, 
  -5117/144, 15139/576, 144119/2304, 149827/4608, -199/72, 31373/576, 
  18205/2304, -25087/1536, -47279/576, 5/32, 1163/192, -2975/72, 157/96, 
  -1939/36, 1669/576, 1669/384, 2615/72, 1811/192, -14011/48, -68083/288, 
  -1669/384, 3735/64, 12589/96, 27865/96, -9745/96, -410629/4608, 
  497453/4608, -29659/384, -132631/1152, 0, 6834809/13824, 623657/3456, 
  132631/1152, -2794895/6912, 25039/128, 21827/576, 0, -565711/3456, -135/64, 
  -55/96, 16535/96, 0, 2545/96, -69337/576, -27805/128, 1897/576, 47579/384, 
  32/3, -389861/4608, -720779/4608, -1669/576, -115/12, -3623755/13824, 
  1437977/4608, -535/288, -17/12, -47671/1152, 21683/288, -50467/3456, 19/24, 
  -439/144, -419/96, 28123/144, 479/144, -1439/576, -446219/2304, 677/144, 
  -31/96, 5557/32, 0, 1363/576, 45025/256, -7853/576, 7979/288, -23855/192, 
  -27869/128, 221/144, 929/72, 15753/128, -937/576, 99/8, 45139/192, -2, 
  -43337/512, -243353/1536, -1669/576, 580693/4608, -2295427/13824, 
  1442117/4608, -1910723/13824, 137467/1152, -48295/1152, 21683/288, 
  -180151/1728, 19/24, 3/16, 76561/576, 479/144, -1/24, -37841/3456, 
  12773/108, -1/8, -47177/1152, 0, 1201/144, 457819/3456, -9461/576, 
  5759/576, -326675/3456, -449/144, -5101/576, 1061/72, -19115/864, -457/576, 
  -649/96, 17429/864, -55/48, 1/8, 1595039/13824, 5249/1728, -945185/4608, 
  1770733/13824, -1009255/4608, -2021/144, -48007/1152, -3/8, -62891/288, 
  1/4, -15783/64, 323/24, 134585/576, -91/8, 527/96, -61/24, 723965/4608, 
  -313/48, -907901/4608, -301/16, -79/24, -163/144, -427/48, 59777/192, 
  165/4, -82265/144, -8801/144, -552865/1536, 269/24, 28525/48, -305/48, 
  -37985/96, 5122/9, 196391/288, -29249/48, -178339/288, -1/8, 51397/9216, 
  148871/576, 5/6, -1266103/20736, -15959/48, -181777/6912, -808877/4608, 
  -265/16, 7927001/110592, 103237/144, 181777/6912, 15/16, -3490/9, -1/3, 
  -107/96, -2129963/82944, 6949/36, 2682661/3456, 171313/4608, 
  -7122137/110592, -177781/288, -95459605/110592, 13793/36, 557/48, 
  -4245097/6912, -397913/512, 3428959/4096, 213245/288, -72581/9216, -665/36, 
  -1919/48, -523/48, -76741/9216, -685/256, 6323/144, 12215/1536, 14855/768, 
  1/16, 31293/1024, 3793/72, 125/3, 38677/4608, -931/18, -9479/768, 
  -6821/288, -1567/48, 299/16, 1, 1610005/18432, -9394691/41472, -88273/576, 
  -15493/4608, 1028861/3456, 168433/4608, 3123025/13824, 213393/512, 
  -44944661/110592, -1489321/4608, 157765/864, 46271/6912, -397081/512, 
  46712069/110592, 213173/288, 3/16, 1/24, -1915/48, -523/48, -3/16, 
  -20119/768, 293/9, -43/16, 10727/768, 1/8, 72005/9216, 6809/144, 125/3, 
  26341/4608, -9173/144, -3933/256, -6889/288, -1567/48, 979/48, 1, 
  174671/6144, 12675325/41472, -70561/576, 131635/3072, -767131/3456, 
  -40229/1536, -4213295/13824, 659635/1536, 29597035/110592, -1548841/4608, 
  -4148779/27648, 3984671/6912, -151291/1536, -29180539/110592, 17471/144, 
  -97/12, 785/48, -21, 535/48, -985/48, 565/48, 333/16, -1511/96, -127/6, 
  22/3, -16/3, 23/8, -24587/144, 4129/144, 18871/576, 97/24, 2803/72, 
  -11821/144, 49/144, 1/8, 98879/240, -37/16, 491767/14400, 29/8, 
  88201/10800, 0, -22519/288, -53/192, -168655/1152, -188521/1920, 1/3, 
  -293597/720, -1000067/14400, 614473/21600, 1/18, 162847/1152, 133/24, 
  -4471/144, -3851/144, 20/3, 67/8, 809/24, 103/15, -5647/160, -41/8, 
  6929/144, 14659/240, -35/16, 6563/288, -67/16, -2143/32, 16009/192, 
  75691/240, -6683/192, 3053/480, -2345/72, -110501/1920, -152153/384, 
  -2191/30, 223001/1920, -89659/240, 165313/2160, 11147/360, -974467/14400, 
  -25373/432, 292049/10800, -5401/216, 3227/288, -8645/288, 661/144, 293/24, 
  551/16, -5647/160, -65/12, 6797/96, -85/16, -115/12, -3367/32, 75691/240, 
  511/48, -18043/192, -241/48, 1853/32, -152153/384, 837/64, 228041/1920, 
  -281/24, 953/12, 14741/240, -275/48, -7837/96, 409/16, 17737/96, 
  -365393/480, 3995/576, 576637/1152, -17035/144, -33193/1440, -77/4, 
  694603/1440, -71/24, 33/64, 1565/96, 15365/288, -11/2, 195/32, -29/48, 
  2057/192, -4769/288, -7187/576, 7625/2304, -17425/384, -53/32, -17821/128, 
  -6641/1152, 6089/64, -14009/2304, 63353/1152, 18369/128, 111/64, -6409/576, 
  -51557/2304, -991/192, 63/32, -15149/576, 14237/256, 289/256, -207/4, 
  -93437/2304, -30887/2304, -13/48, 39143/2304, 8459/288, -29357/576, -83/32, 
  3/4, -32587/384, -2453/384, 2057/192, 46615/576, -7187/576, -215017/2304, 
  -4541/1152, 23/24, 166639/1152, -167/144, 17359/288, -9/8, 439/144, 
  4913/144, -109/768, 54839/1152, -4207/64, -15677/576, -65/12, -31029/256, 
  -54379/1152, 14/9, 23/8, -9673/2304, -637/192, -1055/64, 13/12, -731/576, 
  -1627/288, -1373/288, -907/192, 439/72, -1613/24, -26393/1152, -187/48, 
  25555/1152, 0, 13111/2304, 2885/288, 593/256, -44281/384, -30761/384, 
  -25243/1152, -15547/2304, -77/256, 29645/288, 19/8, 13591/288, 187613/768, 
  -4283/2304, 75715/1152, 16663/2304, 1525/192, -35551/1152, -413905/2304, 
  -366283/4608, -2485/384, -14207/288, -6685/1152, 19991/1536, 38441/576, 
  89/96, 3/8, 5035/576, -4313/576, -811/192, 5/16, 9/8, 577/288, 1/8, -47/24, 
  0, -1/192, 1807/768, 305/256, -37/8, -3053/288, 47/24, -2947/768, 281/768, 
  619/72, 43/24, 513/64, 4841/192, -10225/2304, -191/48, -6353/288, 5/6, 
  -15611/768, -214099/1152, -166189/1152, -109/32, -261/32, -1685/768, 
  1781/144, 56401/1152, -421/192, 19859/64, 138403/192, -50677/24, -16955/16, 
  -16955/32, -266870547259/23162880, 1031284421/1336320, 
  -188440808035/6948864, -533628561277/11581440, -653183/192, -775/8, 
  -1051522337/222720, 3448272023/334080, -12046253563/1336320, -191827/192, 
  6242253373/1336320, -5279132302463/104232960, -520841/192, 
  1459421784677/26058240, 677717/384, 0, 68913/64, 1142378177/222720, 
  -2776632181/334080, 4857/16, 7012783649/579072, 2136480640469/52116480, 
  551999/192, 2285695214083/52116480, 1758155/768, 951/8, -2521/8, 78871/64, 
  -237579/256, 951/4, -146077/64, 250633/96, -5047/16, -58447/12, 0, 775/8, 
  -57137/128, 1143/128, 50821/128, 24503/24, -6577/6, -1741913/768, 61617/16, 
  624793/128, -17603/24, -4291073/1536, 2015253/1024, -81/4, -491/48, -147/8, 
  47/16, -951/8, 3349/8, -249351/256, 50821/128, -46173/1024, -3855/8, 
  1285003/384, -1741913/768, -686911/1536, -121589/48, 624793/128, 
  841447/1536, -17603/24, -50903/256, -71557/256, -5055173/1536, 102503/96, 
  3201813/1024, -285645/512, 207629/384, -27379/384, -17011/64, -163/16, 
  172701/128, 1466137/192, 645309/64, 1547/16, 61011/64, -154491/128, -951/8, 
  357161/256, -3393297/512, -951/4, -384913/48, 6615/16, -1/4, -193/2, 
  -61073/64, 155029/128, 41297/128, -86155/256, 865909/128, 41207/128, 
  2468795/256, 28729/8, 73/8, -1265/48, 241/32, -379/48, 101/16, -275/32, 
  -2798392567163/41693184, -237/2, 2791408551683/20846592, -49705/64, 
  -13605/64, -90545/128, 95933/512, -982453/768, -24703/12, 
  2798030357627/41693184, -39/8, 233/16, -2803920895163/13897728, 
  2766461167819/27795456, 2815582577351/20846592, 43/16, 59347/288, 
  -2847432157139/20846592, 117/16, 778182031/1105920, -27488899/27648, 
  73203887/221184, 1952420849/1105920, 49297/32, -282838297/276480, 
  -98953661/55296, -7917119/3456, 194979977/552960, 3530665439/552960, 
  3531430913/552960, 1222950913/2211840, -247206071/23040, 627302749/245760, 
  -244497/64, 1/4, -785/16, 203211281/276480, -1055244427/552960, 1131/8, 
  -7974479/3840, 4463628853/2211840, -5753/96, -1835214583/2211840, 
  647323/192, -1483/144, -6161/96, -4301/96, 0, 2299/216, 365239/2880, 
  4333/96, 11827/432, -180889/2880, -251/9, 32347/480, 2149/32, 
  -2994151/28800, 1487659/28800, 2371099/86400, -9551/160, -135409/1920, 
  -2185079/28800, 4381/17280, 2773/48, 1229/48, -1051/12, 37327/288, 
  12773/288, 33683/120, -237551/720, -720227/2880, 5299/48, 99017/384, 
  7429/144, -11141/1152, 137/96, -17/8, -135/32, 14383/192, -3/2, -1, 
  -13739/256, -14767/192, 13/8, 14307/256, 2, 2, 19/64, 15/8, 853/96, 
  -4969/96, 11835/256, 31/8, 27/8, -379/64, -15/4, 1777/96, -2345/48, 
  -1405/48, 24, -919/24, 433/32, 15635/288, 633/32, -61/48, 0, 61/48, -7/3, 
  -1859/96, 71/96, 751/24, -107/6, -15689/144, -61/3, 23339/576, 7237/576, 
  -5707/144, -243133/2304, 17657/144, -16489/576, -5903/288, 324253/2304, 
  1193/192, -44717/13824, 85321/20736, 4169/192, 16303/2880, 770107/10368, 
  631249/8640, 1602983/23040, -11215957/34560, -584599/6912, -10579/256, 
  -3981059/69120, 1275323/10368, 829279/6912, 39101/144, 2043857/6912, 
  -21467/288, 2230075/10368, -1966313/6912, -4607269/69120, -720811/6912, 
  11205877/34560, -601/192, 16518811/207360, -950179/10368, 4433/192, 
  -144451/2160, -17932349/103680, 839371/10368, 13862153/34560, 667661/7680, 
  -11218117/34560, 50069/768, -625477/3456, -6083/256, -4669099/25920, 
  1314779/10368, 1008367/6912, -45093/256, 43211/144, 2066609/6912, 1/3, 
  18994037/103680, -20513/288, 4253597/103680, -38855/864, 5/8, 
  -16718939/207360, 2122075/10368, -31967/432, -1981289/6912, 6212557/103680, 
  -4494949/69120, -5/4, -422267/6912, 11205877/34560, -529/192, 
  18609841/207360, -852547/10368, 4433/192, -1405/192, -2282773/12960, 
  795955/10368, 11778637/34560, 1550423/23040, -11194717/34560, 1027/192, 
  -669565/3456, -6083/256, -12999421/103680, 1484627/10368, 954463/6912, 
  -46207/768, 43211/144, 1309025/6912, 1/3, -39002423/207360, 4901753/25920, 
  -25757/288, 660913/2560, 21971/1728, 565/576, 4707721/207360, 
  1630819/10368, -1373831/6912, -1155449/6912, -6172423/69120, 
  -6862429/69120, -845/288, 143695/1728, 11407657/34560, -29/8, 25/8, 41/6, 
  -25/8, -85/24, -17/12, -11959/160, -75/2, -29/144, 800587/9600, 499/48, 
  9559/160, 271/5, -576287/9600, -79/120, -55/12, 303/32, -8915/96, -361/144, 
  -4147/96, 25/2, 7009/160, -10673/96, -534187/9600, 82541/320, 333/16, 
  8435/96, -299/48, 14267/64, 457/96, 23/72, 733/48, 15023/120, -6085/288, 
  -3587/432, -3925/288, -111973/720, 827/432, -119/12, 235/72, -457/192, 
  3325/384, -1/16, 344017/2880, -406729/86400, -3731/1152, -1223/2880, 
  139/216, -7/16, -10387/40, 155521/1152, -19/24, 9869/60, -27/8, 871/192, 
  170477/2880, 164651/1440, -233/128, 19769/160, -36515/128, -443/96, 
  -1239779/5760, 89/96, -73/48, -219/4, -955/24, 0, -19/36, 3643/32, 947/24, 
  541/24, -5705/96, -327/16, 1379/24, 2585/24, 11/6, -28993/288, -10097/96, 
  1047/32, -895/16, -2761/48, 4699/96, 0, 217/4, -38011/240, 405/8, -997/12, 
  52477/180, 6103/144, 50731/120, 603077/1440, -315071/1440, -229649/480, 
  54961/240, -2819/96, 3281/72, -109117/480, 113/48, 5/3, -5/4, 0, -653/72, 
  11/12, 175/24, 21/16, 965/16, 11/6, 1/2, -2009/32, -65/6, -895/16, 
  -2761/48, 5389/96, 0, 16, 161/16, 4279/48, 125/16, 137/6, -407/16, -795/16, 
  209779/480, 5065/96, -247529/480, -221/48, -8231/96, 77/4, -263189/480, 
  19/8, 97/32, 0, -2, 0, -161/32, -2, -97/32, -197/32, 6539/48, -43913/384, 
  103/48, 9/8, -3/8, 251/36, -1/2, 5/24, -125/64, -1/2, -21/8, 453/64, 
  32959/192, -29/8, -45727/384, -2, 1, 3/4, 1/2, 7/12, -839/32, 745/64, 0, 
  1/2, 5, -1/2, -3/4, -2189/288, -13/6, 853/48, -189/8, 205/96, 183/64, 
  -1483/576, -133/96, 61/96, 0, -61/96, 0, 89/48, -3193/32, 0, 15191/256, 
  3193/32, 0, -46997/768, 0, 0, 589/192, 0, 125/48, -1335/16, 14303/256, 0, 
  0, 445/192, 0, 913/96, -361/16, -937/48, -89/8, 3/4, -629/32, 1529/64, 
  3881/192, 487/48, -61/96, 0, 61/96, 203/64, -34616387/414720, 
  -2449859/10368, -1325/96, 463/64, 43931711/414720, 2504453/10368, 
  -11774317/34560, 2201/11520, 11190397/34560, -2785/576, 5410181/13824, 
  11305/384, 74903011/414720, -27196391/41472, -2211533/13824, -271999/1152, 
  -7213/18, 5679131/13824, 16849/48, 362329/15360, 160231/288, -19/6, 
  -3451/720, -171895/288, 125/6, -833483/46080, 159/16, 29/48, -98173/256, 
  765/32, 800093/2304, -329/96, -439/288, 101/144, -1709/36, 160015/288, 
  -1/8, 187247/4608, -177/8, -667/48, -37159/72, -4121/96, 371/16, 22111/144, 
  67751/15360, 25/12, 16/3, -659/72, 53/12, 87/64, 9029/640, 80921/960, 
  139/6, -168283/18432, 1323131/18432, 3047/288, -2174437/18432, -3047/288, 
  339863/6144, -7163/18432, 2471/144, 1/2, 487/256, -2239/144, 7427/18432, 
  -788275/4608, -645/32, -624211/4608, 4141/36, 9965/512, -9965/512, 
  -18511/1536, 65/24, -24359/1536, -1057/144, 115/24, 1/2, 355/192, -607/144, 
  1/4, -4727/2048, -514187/9216, -5519/144, -61145/3072, 128777/3072, 
  316439/6144, -1, 523/216, -1997/96, 93495/2048, -21763/2304, -116699/2048, 
  -19/72, 8249/72, -54149/512, 55/72, 134203/18432, 847/192, 0, 21175/288, 
  -19687/768, -305227/2048, -39973/18432, -85/72, 1738049/18432, 257875/4608, 
  -341/192, 35591/512, 6925/512, -72581/4608, -2543029/4608, -147131/288, 
  59/8, -55813/4608, 895625/1536, 156689/288, 18887/768, 40445/2304, -1/4, 
  1737823/4608, 2050133/2304, -43/24, -373685/1536, -1957349/2304, 
  -68141/2304, -837037/2304, 71/6, 717229/2304, 17/12, -354601/15360, 
  -521805887/829440, -24413/36, 34711/15360, -31978211/276480, -815/288, 
  148843063/276480, 570349/288, 35010491/276480, -294021/256, 732977/92160, 
  5106985/3456, 9379/768, -39229753/23040, -70657/48, -5/8, -72005/4608, 
  -150239/288, 59/8, -1/4, -75781/4608, 160889/288, -1/24, 23879/768, 1/12, 
  84869/4608, 2106773/2304, -43/24, 60229/4608, -2025509/2304, -26423/768, 
  -831469/2304, 71/6, 700429/2304, 17/12, -4021/288, -65236607/829440, 
  -12229/18, 1385/32, -35751011/276480, -629/18, 49245343/276480, 561493/288, 
  33651131/276480, -694927/768, 4006403/92160, 5102665/3456, 4601/256, 
  -39408313/23040, -70693/48, 25/4, -479/48, 265/24, -1063/32, 2665/192, 
  379/48, -19/12, -17/18, 13/8, -743/288, -341071/10800, 53257/1440, -1/18, 
  49/4, 69/2, -1/3, -25/12, 0, -1/2, 175/24, 25/4, -125/24, 5/2, 4/9, 
  120461/192, -48205/576, 1333009/5760, 5926667/86400, 1267/576, 
  -728915/1152, -58879/240, -857/576, 73/36, 11/4, -25/12, -21/8, 23/36, 
  1027/180, -12041/1440, 119531/192, -4241/216, -4120609/43200, 1295699/5760, 
  1691/72, 63917/3200, -253/48, -5/24, -19883/288, -23351/36, 9025/96, 
  -459647/1440, 11119/576, -27/8, 95419/576, 74423/384, 107/54, -8923/720, 
  154097/240, 480415/576, 9305509/43200, 5157701/5760, 2107409/86400, 
  -102619/160, -69641/48, -79093/72, -553/72, -8777/576, -48014147/414720, 
  -2604947/10368, -1325/96, 467/64, 74488511/414720, 2734223/10368, 
  -3288079/11520, -466759/11520, 10245997/34560, 39331/576, 27844273/69120, 
  20331/640, 261287039/2073600, -602703233/1036800, -1832885/13824, 
  41581/480, -987553/3840, -5041913/115200, -146447/5760, -5/36, 25/8, 0, 
  139/72, -25/8, -17/8, 299/144, 643/24, -5641/960, -49/72, 475679/21600, 
  -401/48, -2251/96, 732713/5760, -1203133/43200, -745067/5760, 77/36, 
  -841/72, 11/4, 293/72, 9/4, -53/8, -2419/144, -928757/2880, -933779/21600, 
  1270103/5760, 281/36, -21/8, -81/8, 12205/36, 1/8, -1/8, -1/8, -1/4, 3/8, 
  1/8, 1/32, -5/32, 1/8, 3/8, 1/24, -1/3, 1/24, 3205/288, 1/8, 1/12, -7/12, 
  -607/288, -1/4, -1/8, 1/8, 19/48, 55/48, 3/8, 17/48, -575/32, -79/108, 
  -1/4, -9/16, -5/8, 769/288, -7261/288, 0, 3/8, 1673/576, 1/8, -13/48, 
  -43/48, -3/8, 26027/864, -42091/864, 1/3, 43/48, -308509/5184, -1/16, -1/4, 
  3/4, 1/16, -367/72, -425/72, -3/8, -31/48, -1/2, -365/144, 215/18, -9/16, 
  -107/72, 403/36, 5/16, 59/24, -1/8, -7/4, 73/32, 299/144, -1/12, -119/96, 
  -1991/144, -703/48, -257/144, -27/4, -289/72, 5/4, -67/16, -13/24, 137/32, 
  3247/288, -329/144, -3/4, 1/48, -127/32, 1/2, -1/24, -119/8, -493/72, -3/4, 
  167/144, 26, -121/24, 127/24, -515/72, -5/8, 13/16, 16199/504, 1067/72, 
  -3781/504, -235/72, 319/36, -479/96, -1843/144, 1103/72, 545/96, 733/48, 
  343/48, 1, -341/48, -125/24, 5/8, -847/144, -65/72, -427/144, -133/9, 
  25/12, -8/3, -1/2, 105/16, 3/4, 1/4, 19/12, -293/24, -3/4, -1/8, 5/12, 
  271/48, 1/8, -3/2, -1/4, 11/12, -23/24, -1/3, 2143/144, 37/24, 17/12, 
  -2081/144, 26/9, -5/8, -1/6, -1/4, 7/24, 1253/288, 5/24, 19/24, 1, 
  -167/144, -9/8, 7/8, -15/16, 9/8, -193/72, 107/72, 13/8, -1/24, -179/48, 
  51/16, 2185/72, -319/72, -17/24, -1/4, -889/48, -9/16, -43/9, -3/8, 53/72, 
  3/8, -9/8, 113/12, 1/8, -353/96, 781/288, 79493/13824, 1775935/10368, 
  85/144, 1/8, -5412559/207360, -879379/5184, -1147/144, 23/48, 
  5636359/103680, -344417/10368, -29/48, -3416117/103680, 0, -559639/6912, 
  589/36, 77765/13824, 4694561/20736, -157/8, -989161/51840, -35915/5184, 
  3526277/103680, -1/8, -11135/144, -550711/6912, 149/4, -90499/3456, -1/8, 
  -11201/144, 27397/13824, 151733491/622080, 4877057/10368, 4582579/103680, 
  9050887/207360, -3305/288, -11095987/51840, 2174957/103680, -787/96, 
  -19734935/82944, -23297831/20736, 299/144, 13226041/207360, -443393/10368, 
  -3431477/51840, 300821/432, -665/72, 100901/3456, 11123/144, 
  -7978217/207360, -5104897/5184, 912011/10368, -131/16, 469/96, 
  476478379/414720, 613/72, 3216797/103680, 3893/864, 23521/24, 2, 7/2, -1/4, 
  25/12, -25/4, -15/8, 25/4, 1/24, -221/8, -661/48, -5/8, -15/16, 537/8, 
  661/48, 7/6, -307/8, -17/8, 25/32, 7/12, -135/32, -489/32, 863/192, 1/8, 
  11/24, 311/96, 1/8, 1/4, -1/12, 5/24, 35/16, 113/48, 1/48, -5/16, 1231/48, 
  5057/192, -347/192, -10705/192, -5911/576, 3761/192, -2971/96, -47/6, 
  2871/64, 421/192, 1/6, -1/8, 91/48, 1/8, 13/8, -9011/576, 241/64, 4003/96, 
  8855/576, -1/8, 13/16, 1/4, -3/8, -1/2, -7/12, 7/12, 7/12, -11/12, -5/24, 
  1/8, 5/4, 1/8, -1/4, -1/6, 1/3, 185/192, -8549/432, -53/144, 311/72, 
  -7223/288, -4817/864, 1/2, -1/6, 1/24, -5/36, -37/288, -1903/864, 0, 1/12, 
  -5/64, -1/4, -1/4, 3/4, 1, 1, 25/24, -7/4, -11/8, 11/24, -23/24, 2947/288, 
  -85/96, -217/576, 1/2, 5/24, -2485/576, -17/24, -3/8, 1/8, -41/24, -1/8, 
  25/12, 7/6, -1/8, 4349/576, -19/24, -5/16, 19/18, -205/576, 1/4, -1/4, 
  1/12, 1/96, 13/32, -1/24, 1/36, -15/16, 1/8, -599/108, -5527/864, 7/24, 
  17/24, -1/24, 2837/2700, -1/2, -5/24, 1/8, 15553/864, -250361/6048, 
  -275/144, 143/54, -5275/864, -2507/288, -7/24, -55909/864, -221563/87360, 
  38567/3600, 75799/3600, -1/24, 34331/864, -14303/10800, 5/24, -1513/432, 
  16753/448, -23/96, 5611/432, 827/32, -7991/1080, -3634471/87360, 
  -16541/900, 197/720, -7459/864, 559/144, -2239/96, 7969/2160, 1709/288, 
  1/4, -19478089781/4276224, 41300707153/10690560, 17033499771/950272, 
  -134953/256, -653219/384, -36403983049/7127040, -572884976603/21381120, 
  -15924335611/950272, 558175/768, 101178056699/7127040, 
  154014704659/7127040, 99595/16, -12254854441/4276224, -139817/48, 951/8, 
  192509/1536, 1594637951/2672640, 1222769/384, 2612048203/4276224, 
  140573612099/21381120, 449399405359/42762240, 29116685687/5345280, 
  -2910952049/237568, -30050603543/4276224, 2841/8, -393617/192, -453803/64, 
  15210889/1536, 64813595111/2672640, -168168464789/7127040, 17411/4, 
  1281413/96, -11157235/384, -105595/8, 19474704437/4276224, 
  -69638498329/5345280, -202855807221/4751360, 403/64, -722063787/296960, 
  3827931104443/85524480, 72473169639/1187840, -663101875189/21381120, 
  -1159768455439/17104896, 39420820723/1781760, 16407591125/4276224, 
  25404401417/21381120, 53027435633/2850816, -69003370469/5345280, 
  -45245281379/2672640, 177690445375/17104896, -1407151/512, 
  -12538557289/2672640, 2048381293/267264, 433425/128, 597084077/55680, 
  282687023545/17104896, -177/16, 6002126647/589824, -728560413323/85524480, 
  -560198271067/21381120, 120517193/41760, -158749068629/7127040, 
  6652172653/7127040, -122575931681/21381120, 22778157227/2949120, -33059/64, 
  204099855199/21381120, -841813279523/85524480, -8245816799/10690560, 1/8, 
  -1/8, 3/8, 0, 1/4, -71/48, 1067/192, -1/48, -1/12, 377/96, 13501/576, 
  -1/96, -63/32, -1/32, 3/8, -5/24, 1/3, -1/8, -221/96, 181/128, -7/12, 
  -589/32, -107/96, -1/8, 1/3, -3/8, -41/96, -7/12, -1/4, -1/8, 1/4, -5/12, 
  -1597/32, -17/48, -13/12, -251/64, 10927/384, -107/96, 877/72, 17/24, -1/8, 
  -701/96, -1/16, -133/96, 1001/36, 317/48, 0, 71/24, 23/48, 1/8, -5/24, 
  175/16, 153/32, -31/64, 9313/288, -11/24, 1/4, 43/96, -137/24, -1/16, -1/8, 
  -23/4, 74309/9216, 153671/576, 1655/384, 77317/9216, -153671/576, 
  -25271/1536, -828781/4608, 2425/1536, 74309/9216, 2058149/4608, 25271/1536, 
  5879/144, -828781/4608, -74309/9216, -153671/576, 23/8, 49861/9216, 
  13351639/41472, 544471/576, -10177/1536, 4807889/27648, 5171/192, -1/4, 
  828781/4608, 53/12, -18711089/55296, -9852221/4608, -4415759/27648, 1/4, 0, 
  875663/768, -49861/9216, -27399131/82944, -48559/72, -265427/9216, 
  -44846011/27648, -15505/2304, 18265235/55296, 108251/64, 103710973/55296, 
  -4425197/4608, 326489/9216, 5061625/3456, 3332797/2304, -31929737/18432, 
  -70403/48, 57/2, 667/48, -175/72, -1595/24, -667/48, 259/108, 911/24, 
  -721/144, -45/32, 57/2, 1469/96, -911/24, -45/32, -1817/32, -1623/64, 
  209/64, 21/16, 26405/192, -1871/192, 9/4, -2303/32, -47/8, -1/4, 1107/32, 
  161/24, -109/4, -3717/64, 2543/96, -1/4, -181/32, -45/32, 905/32, 641/32, 
  -377/32, -13981/192, -4939/64, 2869/96, -531/16, -4313/192, 6023/192, 
  181/32, -1645/192, 865/64, 1523/16, 3025/192, -5, -1/8, 1/8, -5/8, -1/2, 
  157/96, -193/192, 5/8, 11/12, -463/384, 181/16, 45/32, -271/192, -95/96, 
  -1/8, 11/24, -1/24, 1/8, 23/48, 29/24, 5/6, -7/128, 145/96, 3/8, -1/12, 
  11/16, 5/4, 3/4, 1/4, 1/16, 1/8, 7/48, 73/48, -3/8, -35/24, 1651/192, 
  -139/192, 603/64, -8233/576, -4667/576, -1/4, -7/96, -11/192, 41/48, 
  -99/64, -707/144, 1/16, 79/48, -73/32, 1/16, -13/48, -43/48, 5/8, -107/48, 
  -387/64, -21845/576, 1/3, 281/192, 10/3, -7/96, 133/24, -1/4, 9389/1728, 
  6313/1728, -11503/864, 0, -5/48, -12469/1728, 71527/1728, 6653/216, 1/24, 
  365165/6912, 24491/288, 0, -2137/864, 1/2, 2405/192, -12857/864, -1/6, 
  6037/864, -106451/768, -21787/1728, 259/144, 10625/96, 2191/864, 0, 
  6635/192, 1/12, 3017/108, -140725/1728, -27937/144, -1/4, -7/12, 57389/864, 
  -5173/1728, -136511/4608, 706877/13824, 361/72, 107/288, 951563/13824, 
  -457709/6912, 635/1728, 28531/576, -1/8, -687/64, 259829/4608, -6587/432, 
  252683/6912, -814169/5184, -185887/3456, -33811/1728, -2551/144, 
  1640579/20736, 57449/1728, 411205/13824, -84133/1536, -49/12, 27619/1152, 
  -24587/864, -2448733/20736, 589613/13824, 138005/3456, 3673067/41472, 
  -16559/1728, -29/12, 19823/1728, 1/4, -77765/9216, -1453/72, -203/24, 
  -1/48, -78853/9216, 3197/96, 65/12, -25/48, 16519/1536, -19/24, 23/48, 
  -1/2, 6779/288, 283/48, -77381/9216, -47911/192, 81/16, -8413/512, 33/8, 
  1/8, 151/144, 830989/4608, 431/48, -5/12, 3/8, -1/4, -55483/18432, 
  -20641765/82944, -38777/64, 35/8, -5741/1024, -15677935/82944, 15125/72, 
  -68797/4608, 20005/864, 5/32, 24574319/110592, 660499/512, -53/8, 
  6709639/36864, 583/3, 20077/432, -173219/288, -659/48, -412, 31/24, 
  -481763/18432, 14201389/10368, -13/16, -4625/2304, -21101/108, 111/16, 
  -67077257/55296, -13393/36, -403051/864, 19805/48, -392765/432, 153/32, 
  -205/32, 181975/432, 1/4, 457/48, 265/24, -4517/480, 0, -109/12, 4841/288, 
  4457/480, -69/4, -8249/288, 473/16, 1/4, -405/32, 94151/960, -1/8, -17/16, 
  -4427/192, -6783/64, 101/24, 42829/576, -65/12, -1/2, -27079/320, -1/24, 
  -3229/96, 10973/60, -5407/192, -1/8, -67/24, -21019/320, 1/8, -433/48, 
  871/864, 12409/1080, -2099/576, 139/24, -2359/48, -41563/4320, 293/24, 
  15877/1728, -297/16, -81959/720, -181067/2160, 3563249/8640, -173167/43200, 
  26931/160, -18497/4050, 633593/8640, -5415727/17280, -694747/3456, 
  -214637/5760, -12439/864, -2047/180, -93/16, -24325/864, 11177/1728, 
  833/64, -1422251/8640, -1363973/2880, -13363/576, 4871887/17280, 5659/864, 
  447/64, -255/64, -153/32, -1/4, -1/8, 91/576, -3221/576, -691/192, 19/48, 
  43/12, 913/288, -7/24, -13/24, -3/4, 11/6, -31/24, 19/12, 23/24, 1/8, 
  353/256, 1237/2304, 1/6, -25/18, -239/24, -127/36, -13/24, -317/72, -7/16, 
  -13/12, 5/24, 53/48, 65/72, 65/72, -1/3, 1/6, 1/24, 1/3, -919/576, 
  2125/192, -2561/2304, -7/4, -5789/288, -1/8, 5/8, 43/24, 7/12, 2167/2304, 
  -19117/768, -177/64, 1099/144, 8867/384, 283/72, 5029/2304, 15461/2304, 
  -9767/576, -49/144, -1871/288, -1093/768, -1/8, 1397/144, -1/4, -7/6, 
  -1163/128, -3449/2304, -357/128, 13655/1152, -287/64, -1/4, 793/192, 
  951/16, -1103/16, 398929/384, 368729499/148480, -693340789/167040, 2853/16, 
  14281/24, 434600099/296960, 298310267519/17372160, -3145/32, 298223/768, 
  19350210361/1930240, -5719/4, -494960018117/23162880, -587915/384, 
  406061/768, 297870127/133632, -324074459/66816, -12341/96, 
  -13198538579221/260582400, 85209552074099/1302912000, 
  15626645735443/325728000, 403821646591/7238400, 4524920095337/434304000, 
  -435401778031/52116480, -12929689/22272, 125270383/44544, -4584137/44544, 
  23831161138097/2605824000, -15966265118597/1302912000, 
  -18029906965097/2605824000, -199411/384, 2/3, 293/96, -951/16, 951/8, 
  -12015/64, -49/16, 376971/1024, 462013/3072, 3454057/1536, -11015/128, 
  21190099/59392, 186331343/178176, 38971/32, -329142539/445440, 
  -166885799/178176, -81766967/890880, -951/8, 29473/128, 368, 
  -9097541263609/312698880, 443389/1536, 433977/256, 
  26175464907823/625397760, -641017471/178176, 225191404741/8686080, 5047/32, 
  -116315/192, 952119176911/31269888, -6233995/1536, 501426093121/69488640, 
  37293/32, -17031918113/11581440, -51597/256, -70063/256, 4303841/1536, 
  33847/256, -185862655/59392, -35396653/59392, -1949/128, 578931139/445440, 
  6108407/178176, 3159829867/890880, 8570138467039/312698880, -1995301/1024, 
  69197/384, -24524381434303/625397760, 57877583/178176, 
  -147871845151/8686080, -1061719096093/31269888, 954143/768, 
  294393099359/69488640, 93023777953/11581440, 409609/512, 103/16, 239/48, 
  -60403/192, 1607/48, -7025227/1536, -700931/256, 32491/384, -3957697/768, 
  -749687/384, -37171/192, 85/12, 2101831/768, 387305/192, -66857/128, 
  -2790737633435/41693184, 6397/64, -114305/128, -41751/64, 
  93534570709/1437696, 798887123/534528, 313613/192, -397923421/445440, 
  -920549315/534528, 1232728247/890880, -951/16, 92409139389019/312698880, 
  3254907751379/83386368, 102417/32, -373/16, -434013089808971/1250795520, 
  -3539559748775/83386368, 31949/64, 11350066353799/138977280, -15803/128, 
  -951/8, -46934442828085/125079552, -3548190636755/83386368, 80647/192, 
  101555932881979/416931840, -1635691/768, 5047/32, 3900084180943/26058240, 
  -520667/192, 37293/32, 2790286825883/41693184, 967115/1536, 359/48, 
  -95869/768, 171970843/59392, -35624755/534528, 80871/128, 129676567/148480, 
  -506883001/534528, -1325192029/296960, -227284983193403/625397760, 
  304019122011/3088384, 323851/384, 180978769981901/1250795520, 
  -1434258948511/10423296, 124061739091/8686080, 9029695386137/15634944, 
  -2746643806931/41693184, -7140142785827/34744320, 
  -29263608656267/104232960, -1105811/1536, -991/96, 503/192, -3289591/2304, 
  68325/128, 11219245/1536, -2866567374227/20846592, 205343/384, 2327149/288, 
  2893350440459/10423296, 350315/384, -415/192, -317665/64, -451885/128, 
  66501/64, 1/4, -785/16, 203280401/276480, -1146343921/552960, 31109/128, 
  -975/64, -903131/1280, -301889/768, -100590243/59392, 82995615/59392, 
  274755/256, -190234121/445440, -214012033/178176, 1056327047/890880, 
  931/16, -40579/64, 20990883/16384, 1002871681/276480, 
  8412461990809/312698880, 17053135/4608, 3671537/1280, 
  -28917716009023/625397760, -1019997433/178176, -168463600231/8686080, 
  1063/8, 153918449/2211840, -4282540421/1105920, -151784440643/3908736, 
  -19806187/2304, 455654789039/69488640, 39203/64, 26845/64, 
  182584237253/11581440, -37325/32, -7/4, -3/4, -1/8, 934403/1536, 
  -270545/384, -198011/384, 920227/768, 435857/256, -3618809/1536, 
  -111671/768, -11877/64, -66225/128, 193937/192, 2846527/768, -4905493/768, 
  1150111/768, 384725/192, -2211843/256, -784375/192, 37/24, 17/12, 1/8, 
  -90059/128, -65973/128, 568779/256, -37687/192, -66513/128, 3242797/768, 
  386563/192, -1/2, 1/8, -200699/384, -198659/384, 1/4, -82949/13824, 
  -1774351/10368, 221/18, -5/24, 7073509/207360, 1929703/10368, 53/36, 
  -25/48, -2965757/103680, 3425/864, 23/48, -71/288, -1/4, 556759/6912, 
  -763/216, -74885/13824, -5061347/20736, -365/216, 2985917/103680, 3643/144, 
  -71/144, -1/8, 1375/18, 554743/6912, 12577/432, 203/27, 1/8, 2747/36, 
  -79781311/1244160, -149560723/1244160, -81725/288, -47/8, 51539/3240, 
  6486535/248832, -37153/1728, 11785657/34560, -17209/1728, -1/32, 
  20942423/92160, 18554467/31104, -599/72, -338074571/1244160, 2743/2304, 
  -9151/864, -22041373/41472, 12167/432, 37909/384, -5545/72, 
  -68658739/1244160, 14598707/34560, -17/3, -31079/3240, -6529/576, -281/48, 
  -1196516249/2488320, 8263/864, 19339/864, -367237/3456, -13493183/51840, 
  -117/32, 499/96, -3845/288, -3/8, -121/4, -365/24, -25/48, 5899/96, 365/24, 
  49/4, -2995/96, -545/48, -1/4, 7661/240, 113/6, 0, 23/24, -688411/28800, 
  29/8, 31/12, -2125/192, -307/24, 1/4, -6/5, 1/6, -2699/96, -209/6, 
  4289/192, 1/8, 1/6, 0, -1/8, 493/48, 763/32, 20845/192, -47/16, -203/144, 
  -879/32, 6659/576, -129/8, 7637/288, 297/16, -8821/240, 41/3, -9161/144, 
  96367/9600, 77825/576, 60223/1440, 6509/240, 10783/128, -4323461/28800, 
  7193/5760, -109/32, -17953/192, 1835/192, 1667/96, 16745/288, -2707/192, 
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  168187/6144, -3971507/27648, -263/18, -1160641/6144, -162229/576, 43/48, 
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  234354872373/6032000, 284889841799/3340800, 16505768184851/868608000, 
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  4093/72, 553/24, 47/12, -319/18, 5, 5/3, -137/9, 13/8, 197/16, 1178311/720, 
  1990097/2160, -3947629/4320, -1768999/1080, -2917/96, 7/4, -187903/2160, 
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  223/64, 517/144, -4265/128, -1, 3961/128, -2917/576, -5, 5/2, 0, 19/9, 
  -3/2, -5/2, 179/36, 601/72, 6872571266677/312698880, 
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  9312973478893/312698880, 55309012838269/2605824000, -408653/720, 
  -2931739/8640, 1415387/4320, 2447783/4320, -2740376368169/83386368, 17/16, 
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  959/576, 1325/576, -1/18, -2489/108, -1/8, 3259/288, 2533/2880, -161/24, 
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  2597/216, 754667/3888, 2311273/7776, -4498379/8640, -265513/1080, -1, 
  538117/1080, -671/864, -17867/144, -538117/1080, -716823473/443520, 
  -37473785/88704, 145211293/73920, 738555953/443520, 54, -2146007/73920, 
  1337/24, -24648049/40320, -1513/154, 28485113/88704, 505/144, 
  32528537/88704, -60185/1584, -721642073/443520, -32550713/88704, 25/48, 
  553453/1540, 50723945/88704, -25/48, -49/6, -115356539/221760, 
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  8527/72, 529/12, -37/4, -8515/72, 9299/216, -11, -529/12, -8867/216, 
  461891/8640, 5194/27, 1237297/25920, -12985/144, 12985/144, -1405829/3240, 
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  11496509/1048320, 361/64, -14794679351/445536000, 151/192, 
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  219279383/9828000, -20547999691/1069286400, 56, -2, -1155037/18000, 257/48, 
  62, 1/2, -409/8, 5/24, -5, 539747387/47174400, -4, -330037/18000, 4, 
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  17519989997/890880, 79247988083/10690560, -387/32, -13241/64, -450441/512, 
  -55/6, 776779502231/5345280, 32954308213/2672640, 
  25824018014441/1954368000, 534122113331/1797120, -1247829619129/10690560, 
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  159201261871/235872000, 2883077/5184, -18549491/209664, 
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