{{1, 0, 0, 1, 1, 0, 1, 1, 0, 3, 0, 0, 2, 2, 7/2, 1/2, 3, 0, 0, 1, 0, 2, -1/2, 
  7/2, 0, 2, 2, 3/2, 2, 1/2, 3/2, 2, 1/2, -1/2, 2, 7, 1/2, 1, -2, -2, -1, -1, 
  -2, 0, 1, 0, -1, 1, 1, 1, -2, -1, 1, 1, 1, -2, -1, 1/2, 1, -2, -5, 3/2, -1, 
  1, -2, -4, -1, -3, 0, 1, 4, 0, 3, -5/2, -5, -6, 3/2, -3, 0, 0, 4, 0, 3, -1, 
  -6, -2, -2, 2, -7/4, 0, -1/4, -1, 0, -13/4, -2, 7/2, -2, 0, -15/4, -2, 
  -7/4, 5/4, -7/4, 2, 2, 11/4, -7/4, 0, 7/4, 1, 0, -13/4, -2, 7/2, -1, 0, 
  -11/4, -7/4, 5/4, -7/4, 1, 11/4, -3, 0, 1, 1, -1, 6, -2, -3, -5/2, 1, -3, 
  2, 5/2, -3/4, 0, -3/4, -1/4, -1/4, 0, -1/4, -1/4, 9/4, -1, 3/2, -3/2, -3/4, 
  1/4, 7/4, 5/4, -9/4, 2, -3/4, 7/4, 1/2, -1/2, 3/4, -1, -3/4, 0, 4, 0, 
  -21/2, -21/2, -15/2, 0, -4, -1, -2, -1, 1, 0, 0, 0, 0, 3/2, 0, 1, 0, -1, 0, 
  0, 0, -1, -1, 0, 4, -1, 4, -1, -2, -2, -3/2, -1/2, -3, 0, -3/2, 7/2, 1, 1, 
  -22, -2, -3/2, 1, -2, -3/2, 1, -1, -3, 2, -1, 1/2, 1/2, 0, 1, -1, -2, -1, 
  -2, -1, -1, -2, -1, -1, -1, -1, -1, 1, 4, 0, 1, 4, 0, -1/2, 3, 5/2, -1, 0, 
  0, 0, -1, -1, 2, 0, -3/2, 0, 11/2, 0, 7/2, 2, 11/2, -4, -4, -2, -3/2, 21, 
  -12, -4, 2, 3/2, 21, 23, 30, 15, 6, -38, -6, -21, -15/2, -15, -13/2, -13/2, 
  12, 7/2, -15, -15/2, -7/2, 12, 3/2, -1, 0, -1, -1, 0, -5/2, 0, 2, -1/2, 
  -5/2, 0, -1, 2, 1/2, -1, 0, 1, 1, 1, -1, 1, 1, -1, 1, -2, -1, 0, -3, -3, 
  -2, 3/2, 0, -3, -3, -2, 5/2, 0, -1, -1, 1, -1, 0, 0, 0, 1, -3, -2, 2, -3, 
  -1, -1, -3, -1, -1, -1, 0, -1, 1, -7/2, 3/2, 0, -1, -2, 4, 5/2, -1, -1, -2, 
  2, 5/2, -2, -3/2, -1/2, 2, 1, -1, -11/2, 1, 3, 0, 49/2, 5/2, -17/2, -3, 2, 
  0, 0, -2, 3, -5/2, 49/2, -1, 2, 5/2, -17/2, -3, 9/2, 7/2, 0, -3, 5/6, -1/3, 
  17, -4, 2/3, 11/6, -16/3, -5/6, 23/3, 17/3, 23/6, -19/3, 0, 23/2, 5/2, 1, 
  23/2, -6, -1/2, -2, -3/2, -1, 1/2, -1, 1/2, 1, 3/2, 3/2, -3/2, -2, 0, 15/2, 
  1/3, 0, -7, 7/2, -2, 1/2, -7/2, 1, -2, 15/2, 10, 1/3, 0, -7, 7/2, -3/2, 
  -7/2, -41/2, -7/2, -17, -12, -2/3, 3, 10, 37/2, -2, 0, -18, 5/2, 14, -7/4, 
  -21/2, 35/2, -25/2, 33/2, 25/4, -7/2, -17/2, -21/2, -2, 3/4, 9, 15, -23/2, 
  7/2, 55/4, 21/2, -5, -7/2, -19/2, -21/2, -6, -7/4, 9, 15, -23/2, -1/2, 9/4, 
  21/2, 1, -3/2, 1, -5/4, 1/2, 1/2, 3/2, 21/4, 23/4, -11/2, -7/4, -3/4, -3/4, 
  -3/4, -5/4, -1/2, 1/4, 1/4, 1, -1/4, -1/4, 0, -19/4, -5/4, 7/4, -3, -2, 
  23/4, -3/4, 0, -1/2, 1/4, -1, -1/2, -19/4, -5/4, 7/4, -3/2, -1/2, 23/4, 
  -3/4, 0, 3/2, -1/4, -1, -5/4, -3/4, 0, 5/4, 1/2, 5/4, 1, 1/2, -5/4, -3/4, 
  2, 0, -16, -2, -5/2, -1, 15, -2, 0, -13/2, 3, 1, 2, -16, -5, -11/2, -1, 15, 
  -2, 1, -5/2, 3, -1, 5, 0, -1, -1, 2, -5, 11/2, 4, 1, -9/2, 0, 5/2, -4, 3, 
  3/2, 31/2, -3, 19, -1, 1/2, -10, -13, -13, 6, 9/2, 8, -13/2, 31/2, -1, 19, 
  10, 17/2, -10, -13, -13, 5, -5, 8, -13/2, -13/2, 2, 11/2, -1/2, -13/2, 
  13/2, -5, -13/2, -9/2, 2, 19/6, -1/6, 253/12, -9/4, 17, -4/3, 2/3, 11/6, 
  -23/6, -21/4, -37/6, 29/12, -93/4, 13/3, 5/3, 1/3, 43/4, 3, -17/4, -13/3, 
  -1, 2, -3/4, 0, -31/12, -5/12, -2/3, 0, 37/12, 1/12, 3, -1, 25/12, -1/6, 
  -5/4, -7/3, -9/4, 1, 9/4, -6, -17/2, -29/4, -17/2, 1/2, 37/2, 39/2, 15/4, 
  -51/4, 15/2, 13/4, 49/4, 2, -9, -8, 35/4, -19/4, -2, -15/4, -1, -3/4, -1, 
  -1, -1/4, 1/4, 0, -1/4, 7/2, 1/2, -11/4, 0, -11/2, 5/4, 0, -3/2, 1, 3/4, 0, 
  3/4, 1/4, 1/4, 0, 1/4, 1/4, -3/2, 1, 25/4, 9/4, 11/4, -1/4, -7, 3/4, -1, 
  5/4, -3/4, 0, -1/2, 1, 0, 3/2, 0, -3/2, 0, 1/2, -1/2, -1/2, -1/2, 29/2, -3, 
  53/4, 0, 13/4, -8, -9/2, 11/4, -41/2, 17/2, -19/4, -1/4, -11/4, 23/2, -3/4, 
  6, -35/4, -1/2, -7/2, 13/4, 29/3, 13/3, 1, 0, 0, 0, 1, 1, -4, 0, 1/2, -1, 
  -1/2, -2, 0, -1, 0, -1/2, -2, 3, 0, -3/2, 89/6, -7/2, 89/6, -23/3, -79/6, 
  10/3, 15, 7/6, -4, -7/6, -2, 4/3, -1/2, -2, 5, 9, -1, -16, 1/2, 1/2, -2, 
  -1/2, 1/2, -1, 1, 1, -76/3, 193/3, 0, -11/2, -1/2, 3, -43, 3, -41/2, 10, 0, 
  -8/3, -5/2, 35/2, -8/3, -31/6, 2, 0, -1, 2, -1, 1, 25/2, -99/2, 9/2, -4/3, 
  -9/2, -70/3, 13/2, -11/2, -70/3, 503/6, 150, -497/6, 4/3, -460/3, -4/3, 
  31/2, 3/2, -39, -3, -31/2, 1, 49, -1, -31/2, -1/2, 3, 49, 9/2, 1, -3/2, 
  7/2, 10, -1, -31/2, 26, 3, -23, 63/2, -8, -72, 0, -5, 2, 0, 58, 10, 2, 2, 
  5/2, 121/2, 10, 4, -9, 7/2, -295/2, -11, -10, 4, 18, -8, 43/2, 22, -103/12, 
  -21, 115/12, 43/2, 22, -199/12, -21, 79/12, -39/2, -18, 13/12, 14, -13/12, 
  1/2, 1/2, -1, -1, 11/4, -13/3, -55/12, -7/4, 11/4, -55/12, -29/6, -7/4, 1, 
  45, 1123/12, -17/2, 158/3, 862/3, 286, 27, 30, -215/12, -153, -391/4, 27, 
  -11/3, -361/4, -153, -697/12, 25/12, 207, 1691/12, -1, -602/3, -322/3, -4, 
  617/6, 3/2, -313/6, 1, 1/2, -1, 3/2, -313/6, 5/2, 1/2, -1/2, 0, 301/3, 
  325/6, 3, -319/6, -93/2, -1123/12, 10, -207/4, 89/2, 97/2, 2359/12, -9, 
  9/4, 99/2, 0, 529/12, -27/2, 207/4, 99/2, 3/2, 529/12, -27/2, 209/4, 5, 
  -97, -207, -4, 203/2, 49/4, -1, -49/4, 47/2, -61/2, 1355/12, 29/2, -29/3, 
  47/2, 55/4, 293/2, 226/3, -635/12, 47/2, -709/12, 23/6, 226/3, 215/12, 
  71/3, 410/3, -71/3, -43/2, 7/4, -111/4, 15/4, 5/2, 25/4, 13, 17/2, 29/4, 
  1/4, -6, 2, 7, -2, 39/2, -7, -3, -2, -29/2, -7, 3, 13, 6, -1/2, -37/6, 3, 
  -5, 11/3, -1/2, 4/3, 13/6, 11/3, -21/2, -21/2, -26/3, 9, 45/2, -9/2, 48, 6, 
  71/12, 40, -91/4, -45, -7/2, 9/4, 127/4, -7, 263/12, 251/12, -78, -16/3, 
  -53/6, -265/4, 75/2, 35/3, 73/12, 27/2, -3, 32/3, -25/2, -1, -3, 19/2, 
  -3/2, -9/2, 3/2, -61/3, -43/6, 193/3, -1, 61/3, 3, -359/6, -1/2, -1, 12, 
  11/2, 3, 77/2, -7, -11, 4, 3/2, 25/2, -7/2, 47/2, 1/6, -3/4, -107/3, 9/4, 
  -4, 11/4, 15/4, 107/6, 69/4, -57/4, 5/2, 41/2, 7/2, 87/2, 123/2, -144, 
  -55/2, -149/2, 45/2, 14, -35, -19/2, 13, 5/2, 18, -65, -571/12, -71/12, 5, 
  48, 27/2, 133/12, 1/3, 9, 181/12, -51/4, 1/4, -51/4, -3, -13/4, 65/4, 65/4, 
  -3, 13/3, 19/3, 3, -1, 25/4, 79/6, 25/6, 529/12, 199/3, -33/4, 80, 87, 
  703/12, 601/12, -5, 2, 57/4, 1/4, 29/4, -1/2, -65/4, -55/4, -25/4, -37/4, 
  53/4, -1, 46, 4, 93/2, 475/12, 517/12, -15, -23/2, -95/2, 201/4, 25/6, 12, 
  -203/4, 3/2, 161/4, 223/4, -9, -7/2, -3/2, -283/4, -87/2, 7, 61/2, -2, 
  -1/2, 3/2, 1, -43/4, 631/6, -1735/12, 31/6, -341/6, -23/12, -907/6, -461/4, 
  1941/4, 3281/12, 137/2, 167/2, -136, -19, -217/3, 243/4, 1156/3, 1715/12, 
  45, 3, 129, 121/4, 197/4, -35/6, -2023/12, 159/2, 206/3, 1517/12, -36, 
  -485/12, 571/6, 175/2, 683/12, -126, 289/2, 557/2, 35, -1607/6, -48, 43/6, 
  -1043/6, -820/3, 243, 3, 1, 1, -3, -17/6, 30, 991/6, 157/6, -895/3, 
  -1355/3}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, -1, 0, 1, 0, 0, 
  -4/3, 0, -1, -1, -4/3, 0, 0, 1, 0, -1, 1, 0, -1, -1, 0, -2, -1, 0, 0, 0, 0, 
  1, 0, -2/3, 0, 2/3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -2, 2, 2, -1, 1, 
  0, 0, 0, 0, 0, -14/3, -10/3, 1, 2, 0, 17/3, 2, 0, -1, 0, -11/3, -4/3, 1, 2, 
  0, 11/3, 0, 1, 1, -1, -1/2, -2, -2, -1, 1, 1/2, 0, 1/2, 4, -1, 5/2, 1, 
  -3/2, 0, 0, -2, -1, 0, -1/2, -1, 1, 1, 1, 1/2, 0, 1/2, 2, -1, -3/2, -3/2, 
  0, 0, -1, 0, -1, -8/3, -2/3, 2, 1, 2, 16/3, 2/3, -4, -3, -1, -8/3, 2, -1/2, 
  -1, -1/2, -1, 0, 1, 3/2, 1/2, 1, 3, 1/2, 5/2, 1/2, -5/2, -3, -1, -1/2, -3, 
  0, -3/2, 3/2, 1, 0, 1, 0, 4/3, 0, -4/3, 1, 1, 1, 8/3, 0, 0, 0, 0, 0, 4/3, 
  0, 0, -1, 0, 1, -3/2, -4/3, 0, -1, -8/3, 0, 0, 0, 0, -8/3, 0, -8/3, 0, 0, 
  -4/3, 1, 1, 0, -4/3, 1, 1, 0, 0, 24, 0, -5, 0, 0, -5, 0, -2, 10, -20, 0, 0, 
  0, 0, 10, -10, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, -1, 1, 0, -1, 1/2, 
  -3/2, -1/2, 0, -1, 4/3, 0, 0, 0, 4/3, 0, 3, 4/3, -1, -4, 3, 4/3, -1, -4, 0, 
  -4, -5, -2, 12, 0, 0, 5, -2, -14, 0, 10/3, 0, 0, 0, 2, 1, 0, -5/3, 5, 2, 
  -9, 0, 1/3, -5, 2, 11, 0, 0, 0, 0, 0, 0, -4/3, 0, 0, 0, -4/3, -10, 0, 10, 
  0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, -1, 1, 
  2, -1, 1, 0, 0, -1, -4/3, 2, 4/3, -4/3, 2, -2/3, 0, 10/3, -1, 0, -2/3, 1, 
  3/2, -3/2, 17/6, 0, 1, 3/2, 5/3, -7/2, -5/2, 1/6, 3/2, 2/3, -1/2, -5/2, 
  7/6, 8/3, 8/3, 0, 0, 0, 8/3, 0, -6, 2, -73/6, -7, 26/3, 6, -2, 4, -6, 0, 
  -6, 7, -73/6, 4, 0, -7, 26/3, 6, -7, 4/3, -6, 0, -55/18, 70/9, -73/9, 64/9, 
  8/9, -100/9, 46/9, 55/18, -11, 14/9, -31/9, 29/9, 4, -4, 2, -6, -12, 2, 4, 
  12, 8, 2, -8, 0, -1, 0, 0, 0, 0, 0, -2, -73/18, 4/9, 0, 73/18, 0, 2, -2/3, 
  0, 0, 0, -73/18, 1, 4/9, 0, 73/18, 0, -2/3, 0, 67/6, -5/3, 73/9, 5/3, -8/9, 
  -43/6, -46/9, -67/6, -1/3, -4/3, 61/6, 2, -1, 1/2, 9, -6, 7, -17, 1/2, 0, 
  4, 3, 2, -1/2, 0, -5, 0, -17/2, -19/2, 2, 2, 0, -4, 3, -6, -5/2, 0, -5, 0, 
  25/2, 5/2, 2, 0, 0, 19/3, 13/2, -3, -9, 0, -33/2, 1/2, 17, -3/2, 5, 0, 5, 
  -5, -5, -5, -5, 0, 0, 0, 0, -10, -12, -3, 17/6, 3, 5, -3, 2, 32/3, -8, -2, 
  0, -10, -11, -3, -25/6, -5, 5, -3, 2, 26/3, 0, -2, 0, -2/3, -2/3, -5, -5, 
  0, 19/3, 5, 0, -10, 0, 2, -24, -29, 20/3, 0, 26, 0, -2, 82/3, 0, 0, 0, -24, 
  -29, 26/3, 0, 26, 0, 0, 76/3, 0, 0, 0, 14/3, 8/3, -4, -4, 0, -20/3, -8/3, 
  3, 2, 1, 0, 7/3, -2, -1, 26, 91/3, 26, 64/3, -32/3, -31, -31, -25, -166/3, 
  -56/3, 57/2, 79/3, 26, 97/3, 26, 70/3, -32/3, -31, -31, -25, -341/6, 
  -103/6, 57/2, 155/6, -1, -14/3, -7/3, 7/2, 9/2, 1, 16/3, -1/3, -3, -2/3, 
  -175/18, -5/3, -50/3, 91/18, -73/9, 107/18, 8/9, 4/3, 101/18, 49/9, 271/18, 
  26/9, 131/9, -22/9, -1/9, -127/18, -121/9, -16/3, -11/9, -7/9, 16/3, 0, 
  -1/2, -1, -13/3, -16/3, 23/18, 1, 11/2, 1/3, 1/2, 2, -2/3, 79/18, -3/2, 
  -1/3, 0, -1, 0, 3, -2, 5, -4/3, -19/6, -3, -6, 0, -14, -17/2, 4, -1, -1, 
  28, 9, -1, 55/6, 1, -1, 0, 0, 0, 0, 0, -5, -10, -5, 20, 16, 3, -35/6, -15, 
  3, -2, -26/3, 2, 1/2, 1, 1/2, 1, 0, -1, -3/2, -1/2, -1/2, -2, 25/2, 27/2, 
  -13/3, 3/2, -25/2, 0, 1, -38/3, 0, -1/2, 2/3, -1, 1, -5/6, 0, 1/2, -1/2, 
  -1/2, -1/3, 1/2, 1/2, 25, 91/3, 49/2, 58/3, -10, -29, -27, 3/2, -75/2, 
  -215/3, -25/2, -53/2, 13/3, 43, 14, 25/2, 55, 28/3, -29/2, -41/3, -38/9, 
  -58/9, 0, 6, 8/3, 0, 0, 0, 8/3, 0, 0, 0, 0, 0, -2, -1/3, 0, 0, 0, -4/3, 0, 
  0, 40/9, 122/9, 40/9, 29/9, 65/9, 61/9, 43/18, -64/9, -61/18, 5/9, 275/18, 
  0, 1, 0, 0, -11, -3, 4, 1, 1, 0, 1/2, -5/2, 3/2, 7/2, -3/2, 29/9, -4/3, 
  -30, -5, 1, 0, 52, 2, 3, 34/3, 0, 10/9, 14/9, -1/3, 10/9, 5/9, 0, 2, 0, 0, 
  0, 0, -73/9, -1/9, -13/36, 0, 13/36, 29/9, -107/9, 98/9, 29/9, -22/3, 19/9, 
  19/3, -56/9, 17/9, 38/9, 0, 1, 2, 0, 0, -14/3, 121/18, 8/3, 0, -7/6, -5/2, 
  121/18, 13/6, 3/2, 5/6, -5/3, 157/18, 2, -3, -20, 30, 10, -19, 39, 19, -17, 
  11, -37, -4, -23/2, 37/2, -10, -37, -5/2, -11, 37/2, -15/2, 187/2, 5, 55/2, 
  -99/2, 62/3, -3, 7, -37/3, -5/2, 37/6, 397/72, 2, 179/72, -5/2, 49/6, 
  937/72, 2, -1657/72, -1/2, -19/2, -499/72, 6, 883/72, 0, 0, 0, 0, 0, 85/9, 
  85/9, 0, 0, 76/9, 76/9, 0, 0, -415/4, -1963/72, 217/4, -4315/72, 38/9, 
  293/9, -13, -14/9, -443/72, 121/6, 443/18, -13, -11/6, -173/24, 121/6, 
  89/9, 79/24, 43/6, 911/72, 12, -340/9, -194/9, -5, 367/18, 13/4, -70/9, 
  -1/4, -9/4, -2, 13/4, -79/9, 10, -9/4, -9, -21/4, 170/9, 361/36, 1, -91/9, 
  207/2, 1981/72, -54, 1337/24, -221/2, 35/3, 107/72, 59, -567/8, -100, 4, 
  -3193/72, 95/2, -1385/24, -100, 13/2, -3193/72, 95/2, -1433/24, 25/2, 
  -70/3, -113/2, -7, 55/2, -145/36, 3/2, 145/36, -405/4, -21/2, -380/9, 
  197/4, 155/36, -405/4, -1501/36, -548/9, 1901/36, 69/2, -405/4, -167/4, 
  -60, 1901/36, 311/9, 67/36, 37/9, -139/36, 103/6, 17, 61/6, 31/6, 0, -64/3, 
  -40/3, -32/3, -100/3, -6, 32/3, 0, -8/3, 10/3, 64/3, 110/3, -7/3, -2, -28, 
  8/3, -10/3, -94/3, -8/3, 0, -170/9, -97/3, -166/9, -310/9, -14/9, 317/9, 
  289/9, 161/9, 629/9, 349/9, -280/9, -350/9, -67/3, -4, -401/18, 88/3, 
  139/18, -23/3, 88/9, 69/2, -5/2, -17/6, -32, 0, 259/18, -877/18, 221/9, 
  -230/9, 32/9, 221/6, -41/2, -235/18, 194/9, -121/9, 113/9, -11/3, -24, -28, 
  23/3, 26, 0, 76/3, 0, 5/9, 133/36, -4/3, 2, -5/9, -10/3, -4/3, 25, 80/3, 
  25, 20, -23/3, -178/9, -27, -24, -152/3, -19, 26, 76/3, 6, 1141/36, 6, 
  182/9, 9/2, 8, 10, -15, -137/6, 21, 17, 5/2, -13/2, 30, 333/2, 82, 73/6, 
  -6, -237/2, 59/2, -203/6, -167/3, -47/2, -3, -97/2, -263/6, -86, -6575/72, 
  1649/72, 52, 199/2, 87, 10451/72, 2767/36, -215/2, -7111/72, -35, -36, -35, 
  -45/2, 27/2, 38, 38, -6, 212/9, 266/9, 6, 0, 0, -175/24, -73/8, 91/18, 
  91/18, 13, 1975/72, -7/24, -184/9, -247/18, -29/4, -14/3, 25, 173/4, -11/2, 
  7/2, -139/4, -161/4, -121/3, -27, 139/4, 61/2, -102, 5/3, -197/2, -2425/72, 
  -3133/72, 53, 93/2, 209/2, -1409/24, -505/36, -103/2, 1421/24, 1, -1039/36, 
  -605/36, 1/2, 7/2, -1, 1981/36, 106/9, 0, -157/6, 0, 0, 0, 0, 919/9, -37/9, 
  -109/24, -877/18, 6583/72, 205/9, 661/9, 229/36, -421/18, -605/9, -17/2, 
  -133/6, -278/9, -7/3, 301/18, -481/36, -73/9, -70/9, -143, 7/3, 341/24, 
  1615/18, -1325/24, -3529/36, -3/2, -487/18, 1235/36, -169/36, -4, -185/72, 
  1369/36, -73/2, -4115/72, 327/2, 97/6, 1613/12, -81, 4649/36, 204, 3731/36, 
  1147/9, -2155/18, -3703/36, 1/2, 0, -1/2, -1/2, 76/9, -55/2, 277/18, 1/9, 
  347/18, 175/18}, {0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 3, 2, 0, 2, 2, 0, 0, 3, 
  1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 4, 2, 0, 0, -2, -1, 0, -2, 
  0, 0, 0, 0, -1, 0, 1, 0, -1, -1, 0, 1, 0, -1, 0, -1, -1, -3, 1, 0, 0, 0, 
  -4, -1, 0, 0, 0, -2, -3, 0, -2, -3, -1, 1, 0, 0, 1, -2, -3, 0, -1, -1, 
  -3/2, -3/2, 3/2, -1/4, 0, 1/4, 0, -2, -15/4, -2, 1/4, -2, -1/2, -4, -3/2, 
  7/4, 2, 0, 2, 3/2, 1, -1/4, 0, 5/4, 1, -2, -15/4, -2, 1/4, -1, -1/2, -5/2, 
  7/4, 2, 0, 1, 1, -1/2, 0, 1/2, -2, -3/2, 1, -2, -5/2, 7/2, 5/2, -1/2, 2, 
  -1/2, -1/4, 0, -1/4, 1/4, 1/4, -1, -7/4, -3/4, 1/2, -1, 1/4, -9/4, -1, 
  11/4, 4, 3/2, -1/4, 2, 0, 2, -7/4, -3/2, 0, -1, 0, 0, 0, 0, -9, -9, -9, 0, 
  0, -1, -2, -1, 1, 0, 0, 0, -1, 0, 1, 1/2, 0, 0, 0, 0, -1, -1, 0, -1, 0, -1, 
  0, -1, -2, 0, -2, -2, 0, 0, -2, 0, 1, 1, -58, 0, 8, 1, 0, 8, 1, 0, -16, 32, 
  -1, 1/2, 1/2, 0, -16, 16, -1, -1, -1, -1, 1, 0, -3, -1, -1, 0, -2, 1, 1, 0, 
  1, 1, 0, 1/2, 1/2, 3/2, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0, 2, 0, 0, 0, 2, 0, 
  0, 0, 8, 14, -30, 0, 0, -8, 14, 44, 0, 0, 0, -12, -6, -18, -9, 0, 0, -8, 2, 
  17, 0, 0, 8, 2, -15, 0, -1, -1, 0, -1, -1/2, 0, -1, -1/2, -1/2, 0, 16, -1, 
  -33/2, 0, 0, 0, 0, 1, 0, 0, 0, -1, 1, -2, -1, 0, 0, 0, -3, -3, 0, 0, 0, -3, 
  -1, 0, -1, -1, 0, -1, 1, 0, -1, 0, -2, -2, 0, -2, 0, 0, 0, -1, 0, 0, 1, 
  -1/2, 1/2, -1/2, 0, 1, -1/2, 0, 1/2, 3/2, 3/2, -1/2, -1, -1/2, 3/2, 1/2, 0, 
  0, 2, 1, -1, -2, 1, 17/2, 0, 15/4, 21/2, -19/2, -17/2, 2, 1/2, 11/2, -2, 
  17/2, -17/2, 15/4, -15/2, 0, 21/2, -19/2, -17/2, 21/2, 5/2, 11/2, -3, 29/4, 
  -17/6, 5/2, -17/6, 0, 27/2, -11/2, -29/4, 22/3, 4, 11/2, -7/2, 0, 15, -4, 
  19, 21, -7, -17/2, -41/2, -12, -1, 12, -1, 0, 1, 0, 0, 0, 0, 0, 5/4, 0, -2, 
  -5/4, 0, -2, 1/2, 0, 1, 0, 5/4, -9, 0, -2, -5/4, 0, 1/2, 0, -47/4, 3, -5/2, 
  11, 0, 87/4, 11/2, 39/4, -17/2, -1, -23/4, 5/2, 0, 0, -17, 12, -29/2, 55, 
  9/2, 0, 0, -4, -3/2, 0, 0, 11, -1, 23/2, 37/2, -5, -6, 0, 0, -4, 3/2, 4, 0, 
  11, -1, -55/2, -5/2, -5, 1, 0, 0, -5, 9, 14, 0, 37/2, -1, -29, 3/2, -33/4, 
  -1/4, -33/4, 31/4, 8, 31/4, 31/4, 0, -1/4, -1/4, 1, 15/4, -1/4, 15/4, -7/4, 
  -4, -13/4, 19/4, -3, -73/4, 47/4, 2, -1/2, 15/4, -1/4, 15/4, 41/4, 8, 
  -13/4, 19/4, -3, -65/4, -1/4, 2, -1/4, -1/4, 0, 31/4, 8, 1/4, -8, -8, 3/4, 
  65/4, 0, 0, 8, 0, -3, 1, -25, 0, 0, -43, 1, 1, 0, 8, -3, -6, 1, -25, 0, 1, 
  -39, 1, -1, 2, 0, -2, 4, 4, -2, 4, 3, -2, -3, 1, 0, -1, 2, 1, -9, -1, -8, 
  3, 3, 25, 26, 10, 42, 39, -57/2, -42, -9, 1, -8, 7, 6, 25, 26, 10, 81/2, 
  69/2, -57/2, -83/2, -2, 1, 2, -9/2, -9/2, 2, -3, -3, -2, 1, 43/4, 0, 27/2, 
  -17/4, 5/2, -9/2, 0, -4/3, -85/12, -6, -73/4, -11/3, -10, 10/3, 5/2, 85/12, 
  25/2, 15/2, 5/3, -9/2, -11/2, 2, -1/4, 0, 3/2, 1/4, -2/3, -1, -23/4, -1/2, 
  1/4, -1, 1, -41/6, 7/4, 1/2, 0, 1, 0, 3/2, 0, -11/2, -4, 1/2, 3, 41/2, 
  13/2, 13, 11/2, -1/2, 33/2, 3/2, -101/2, -19, 9/2, -23/2, -3/2, 5/2, -11/4, 
  -1/4, -11/4, 9/4, 5/2, 31/4, 53/4, 11/2, -71/4, -17/2, -13/2, 1/4, 65/4, 
  -5/2, 3, 65/4, -2, 1/4, 0, 1/4, -1/4, -1/4, 1, 7/4, 3/4, -1/4, 1, -19/4, 2, 
  3, -7/4, 47/4, 0, -1, 39/2, 0, -1/4, 1/4, 1/4, 1/2, 1/4, 1/4, -5/4, -1/4, 
  1/2, 0, -3/4, -1/2, -10, -1, -41/4, 4, 21/4, 27, 26, -3/4, 59/4, 42, 19/4, 
  131/4, -3, -42, -15, -19/4, -62, -18, 59/4, 21, -1/3, -4/3, 0, 0, 0, 1, 1, 
  0, 0, 1, 1/2, -1, -1/2, 0, 0, 0, -2, -1/2, 0, 1, -2, -3/2, -29/2, -59/6, 
  -29/2, -2, -2, -65/6, -14, 34/3, 65/6, -1, -68/3, 0, 0, -2, 3, 6, -3, -4, 
  -1/2, -1/2, -2, 1/2, 3/2, -1/2, 1/2, 1/2, 3, -5/2, 0, 8, -6, 0, 0, -16, -3, 
  13, 0, -1/3, 1/6, -8, -1/3, 8/3, 0, 0, 1, 0, 1, 1, 27/2, -16, -37/8, 0, 
  37/8, 5, 77/6, -71/6, 5, -49/6, -39, 43/6, 34/3, 35, -40/3, -5, -6, -10, 1, 
  7, -3, -7, -1, 7, -1/2, 5/2, -7, 3/2, 3/2, -5/2, -5, -16, 3, -9, 34, -48, 
  -12, 60, 1, -1, 1, 0, -1, 0, 1, 13/2, 0, -1, -1/2, 1/2, 13/2, 13/2, 5/2, 
  1/2, -2, -5/2, 0, 1, -1, 1, 3, -1/2, 39/8, -6, -95/8, 3, 3/2, -85/8, -6, 
  61/8, -2, 1/2, 23/8, 2, -7/8, 0, 0, 0, 0, -3/4, -31/3, -115/12, 7/4, -3/4, 
  -121/12, -28/3, 7/4, 1, 21/4, -45/8, 7/4, 319/24, -78, -617/6, 3, 11/3, 
  1495/48, 6, -547/12, 3, 85/6, 2431/48, 6, -445/12, -161/48, -125/2, 
  -817/16, 2, -62/3, -37/3, 3, 83/6, -1/4, -31/6, 3/4, 7/4, 1/2, -1/4, -37/6, 
  -16, 7/4, 35/2, -5/4, 31/3, 77/12, -1, -43/6, -4, 35/8, -3, -67/8, 3, 0, 
  -27/8, 1, 63/8, 9/2, 0, -39/8, 9/2, 67/8, 9/2, 1/2, -31/8, 9/2, 67/8, 5/2, 
  0, -5/2, 3, 1/2, -137/24, -1/2, 137/24, 9/4, -1/2, -203/24, 35/4, -1049/24, 
  9/4, 245/24, -151/8, -61/4, -641/12, 9/4, 689/24, 153/8, -61/4, -911/12, 
  -145/8, -41, 129/8, 1/4, -31/4, 1/2, -14, -4, 85/4, 27/2, 12, 42, 15/4, 
  -19/2, 2, 0, 0, -10, 0, 5, 2, 28, 0, 1, 41, -1, -1/2, -11/2, 1, -9/2, 22/3, 
  19/3, -30, -30, 9/2, -317/6, -355/6, 26, 305/6, 47/2, -6, 41/4, -41/2, -12, 
  -83/2, -91/4, -161/4, 3/2, 23/2, 95/4, -7, -43/2, 239/6, 23/2, 107/6, -12, 
  -60, 109/12, 83/4, -451/12, -17/3, -4/3, 103/6, 10, 0, -5, -26, 0, -40, 0, 
  3, 37/8, -5/2, -2, -3, -2, 5/2, -3, -3, -10, 6, 5, 43/2, 26, 9, 40, 35, 
  -22, -39, 41/2, -49/24, -29/4, -139/6, -8, -35/2, -49/4, 97/4, 176/3, 
  -67/4, -151/4, -9/4, -29/2, 0, -35/2, 29/2, 15/2, 18, 109/2, -33/2, 65/2, 
  277/2, 75/2, 13, 25, -5/2, 67/2, -69/8, -121/8, -44, -183/2, -107/2, 
  -671/8, -473/4, 243/2, 1163/8, 81/4, 1/4, 81/4, -49/4, -25/2, -163/4, 
  -163/4, 19/2, -527/12, -641/12, -19/2, -1, -1/4, 149/48, 353/48, -99/4, 
  -47/2, -15/4, -3107/48, -1951/48, -51/4, 155/6, 25/4, 1, -15/4, -7, -7/2, 
  -9/2, 30, 22, 17/4, 225/4, -34, -215/4, 7/2, 1, 4, -39/8, -35/8, 4, 9/2, 
  -4, 59/8, 49/4, -5/2, -63/8, 0, 233/24, -685/24, -9/2, -3/2, 0, -201/8, 
  131/6, 2, 185/12, 3/2, -3/2, -2, 1, -125/4, 127/3, 279/8, -15/2, -1271/24, 
  -65/4, -217/6, -463/24, -99, 279/4, -23/2, 17/2, 40, -3/2, 0, -619/24, -61, 
  10, 21/2, -2, -19/8, -2, 67/8, 5/4, -371/6, 155/24, 175/4, 125/8, 43, 
  -695/48, -3115/24, 65/2, 9059/48, -39/2, -1/2, 77/4, -15, -113/4, -5, 
  -75/8, 35/3, 163/2, 1943/8, -5/2, 0, 5/2, 5/2, -65/6, 15/2, 37/4, -103/12, 
  133/2, -4}, {0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, -3/2, 0, -1, 0, 0, 3/2, 0, 0, 3/2, 0, 0, -3/2, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, -1/2, 1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, -1/2, 0, 0, 0, 0, 
  0, 0, 0, 1, 0, -1, -1, 0, 0, 3/2, 0, 0, 0, 1, -1, -1, -1, 0, 0, 2, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 0, -1/2, -1/2, 0, -1/2, 1/2, 1/2, 1/2, 
  0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1/2, -1, -1, -1, -3/2, 
  0, 0, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 0, 0, 0, 0, 0, 1/2, 
  0, 0, -4, 1, 1, 0, 1, 1, 0, -6, -2, 4, 0, 0, 0, 1, -2, 2, 0, 0, 0, 0, -1/2, 
  -1/2, 0, 0, 0, 0, 0, 0, 3/2, 0, 0, 3/2, 0, -1/2, 1/2, 1, 0, 0, 1, 0, 0, 0, 
  1, 0, 3/2, 1, 0, -3, 3/2, 1, 0, -3, 0, 1, 1, 0, -2, 0, -1, -1, 0, 2, 0, -4, 
  0, 0, 0, 0, 0, 0, 1/2, -1, 0, 2, 0, 13/2, 1, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, -1, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, 1/2, 1/2, 
  0, -1/2, 1, 3/2, 1/2, 0, 0, 0, 0, 0, 0, 0, -2, -1, 1, 1/2, -1/2, 0, 1/2, 
  -1/2, -1/2, 1/2, 0, -1/2, 1, -1/2, 0, 0, 1/2, -3/2, 0, 1/2, 0, -1/2, 0, 0, 
  1/2, 1/2, -3/2, 0, -1/2, 0, 0, 0, 0, 0, -1/2, 0, 1/2, 0, -1, 2, -5/4, -1, 
  0, 5/4, 1, 0, 1/2, -2, -1, -3/2, 0, 2, -5/4, -1, 3/2, 7/4, 1, 0, 1/6, -1/6, 
  -2/3, 1/2, 0, 25/12, -4/3, -5/3, -13/12, 1, 19/12, 1/4, 3, 1/2, -2, 1/2, 3, 
  0, -1, -1, 0, 0, 0, 0, -1/2, 1/2, 0, 0, 0, 0, 0, -1/3, 0, 0, 1/3, 0, 0, 
  -1/2, 0, 0, 0, -1/3, -2, 0, 0, 1/3, 0, -1/2, 0, -1, 5/2, 2/3, 5, 0, 5, 4/3, 
  1, -4, -2, -1, 3/2, -3, 3/2, 2, 3, -2, 0, -1/2, -1/2, 1/2, 1, -1/2, -3/2, 
  0, -1, -1, 3/2, 5/2, 1, 0, -1/2, -1/2, 1, 1, 1/2, 0, -1, -1, -2, -1/2, 1, 
  0, -3/2, 1/2, 1, 3, 1, 0, -3, -1/2, -3, 1/2, -1, 0, -1, 1, 1, 1, 1, 0, 0, 
  0, 0, -5/2, 1, -1, 5/2, 1, 2, 1, 0, 0, 0, 0, 0, -5/2, 1, -1, 5/2, 1, 2, 1, 
  0, 0, 0, 0, 1/2, 0, -1/2, 1/2, 1, 0, 0, -1, 0, 2, 0, 0, -3, 2, 3, 0, 2, 0, 
  0, 0, 0, 0, 0, -3, 2, 3, 0, 2, 0, 0, 0, 0, 0, -1/2, 0, 1/2, 1/2, 0, 0, 
  -1/2, -1/2, 0, 0, -1/2, 3/2, 1/2, 0, 0, 4, -3/2, 11/2, -11/2, -11/2, -3/2, 
  -3, -5/2, 2, 9/2, 1, 0, 4, -3/2, 11/2, -11/2, -9/2, -3/2, -3, -5/2, 3, 4, 
  1, -1/2, 0, -1/2, 0, 0, -1, 3/2, 1, -3/2, -1, 1/2, 1/2, 1/3, -1/3, 1/6, 
  -2/3, 0, 0, 1/3, -5/6, -4/3, -3/2, -1/3, -2/3, 2/3, 1, 2/3, 17/6, 1, 0, -1, 
  -1, 0, 0, 0, -1/2, 1/3, 1/2, 0, 1/3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/2, 
  1/2, 1/2, -3/2, -1, -1, 1/2, 1, 1/2, 4, -1, 1, 0, -5/2, -1, 1, 0, 0, -1, 
  -1, 0, -1, 1, 1, 1, 1, 0, 3/2, -2, 0, -5/2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 3/2, -1, -3/2, 0, -1, 0, 0, 0, 0, 1/4, -1/4, 0, -1/2, 1/2, 
  1/4, 0, 1/4, 0, -1/4, -1/4, 0, 4, -3/2, 9/2, -11/2, -9/2, -3/2, -3/2, 1/2, 
  -11/2, 5/2, -3/2, 7, 3/2, 5/2, 1/2, 3/2, -1, -3/2, -1, 0, -5/3, -13/6, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7/3, -7/6, -7/3, 
  1/3, -2/3, -5/6, -8/3, 4/3, 5/3, -1/6, -17/6, 0, 1/2, -1/2, 0, -5/2, 1, -6, 
  0, 0, 0, -1/2, -1/2, 0, -1/2, 1, 17/6, -3/2, -5, 1, 0, 0, -2, -8, 0, 10, 1, 
  4/3, 4/3, 0, 4/3, 1/3, 0, 0, 0, 0, 0, 0, -1/6, -5/3, -7/6, 0, 7/6, 7/3, 
  19/6, -19/6, 7/3, -1, -37/3, 1/2, 19/6, 37/3, -19/6, -7/2, 1/2, 0, -1/2, 
  7/2, -3/2, -2/3, 3/2, 7/2, -3, -3/2, -2/3, 3, 1/2, 0, 0, -2/3, 1/2, 1, 4, 
  -6, -2, 3, 17/2, -17/2, -7/2, 5/2, -8, 0, 8, 17/4, -5/2, -8, -3/4, 29/4, 
  17/4, -5/4, 85/4, -1/4, -43/2, -45/4, 9/2, 1, -1/2, -3/2, 9/8, 3/2, 5/16, 
  0, -21/16, 9/8, 1/2, 17/16, 0, 95/16, -17/8, -3/2, 41/16, 0, -9/16, 0, 0, 
  0, 0, 0, -2/3, -2/3, 0, 0, -2/3, -2/3, 0, 0, -157/8, 275/16, 11, 79/48, 
  -74/3, -68/3, -25/2, 17/6, 59/12, 57/4, -23/4, -25/2, 59/12, 133/12, 57/4, 
  -59/6, 9/4, -33/2, -151/12, -2, -25/3, -13/6, -4, 2/3, 1, -25/12, -1, -1, 
  0, 1, -19/12, -7/2, -1, 2, 1, 25/6, 13/12, 2, -7/12, 153/8, -267/16, -21/2, 
  -21/16, -145/8, 7/4, 307/16, 12, 1/16, -153/8, 0, 239/16, 21/2, 21/16, 
  -153/8, 0, 231/16, 21/2, 21/16, -2, -7/2, -5, -3, 2, -8/3, -1, 8/3, -79/4, 
  -3/2, 169/12, 11, -181/12, -83/4, -1/6, 55/12, 5/6, -197/12, -83/4, 7, 
  179/12, 5/6, -295/12, -17/6, -37/3, 17/6, 4, -3/2, 3, -7/2, -2, 5/4, 7/4, 
  3/2, 9/4, 3/4, -3/2, 0, 1/2, 0, 7/2, -5/2, -7/2, -1/2, -5/2, -1/2, 0, 1/2, 
  1/2, 0, -19/3, 3/2, -20/3, 22/3, 17/3, 11/6, 7/6, 16/3, -19/6, -41/6, -5/3, 
  7/6, 5/2, -3/2, 1/3, -6, -3, -14, -19/3, -6, -1/2, 4, 6, 0, -14/3, 22/3, 
  10/3, 7/2, 0, -9, 37/12, 14/3, -11/3, -85/12, -15/4, 1/12, -3, 2, 3, 2, 0, 
  0, 0, 17/6, 7/6, -3/2, 0, -17/6, 0, 3/2, 8, -3, 7/2, -4, -3, -11/3, -5/2, 
  -7/2, 7/2, 2, 5/2, 0, 25/2, -25/6, 2, -28/3, -5/2, -8, -3, 2, 25/12, -3, 
  -2, -1/2, -19/4, -5/2, 121/4, -1/2, -29, 5/2, -67/4, 13/4, -3, 2, -3/4, 0, 
  -47/8, 11/2, -125/8, 157/16, 233/16, 3, 25/4, 47/8, -173/16, -99/8, 15/4, 
  45/16, -7/2, 3, -7/2, 13/2, 7/2, 2, 2, 0, 2/3, 2/3, 0, 0, -7, 9/4, 1/4, 
  -17/3, -14/3, 17/2, -83/6, -133/12, -73/6, 13/3, 3/2, -1/2, 7, -4, -7, 0, 
  -3, -5, 5, 13/2, 3, -1/2, -165/8, -1/2, -157/8, 271/16, 247/16, 10, 10, 
  153/8, 21/16, -113/8, -11, -29/16, 0, 11/6, -40/3, -5/2, -1, 0, -35/6, 
  32/3, 1/2, 4, 0, 0, 0, 0, 307/24, 41/6, -677/48, -53/6, -175/48, 11/3, 
  -37/6, 3/2, -245/6, 8, -11/2, 17/2, 8/3, -1, 89/6, -22/3, -187/6, -1/3, 
  -185/8, -2, 311/16, 89/6, 61/16, -215/12, -85/6, 247/12, 95/6, -35/12, 37, 
  -25/2, -25, -17, 104/3, 127/4, 4, -99/8, -15, -117/8, 95/2, 1/3, -73/6, 
  32/3, 407/6, 1, 0, -1, -1, -2/3, -5, 7/2, -26/3, 181/6, 13/6}}
