{{1, -1, 1, 1, -1, -1, -2, -3, -1, -1, 1, -2, 1/2, -1/2, -1/2, -1/2, -1, 1/2, 
  1, 1, -1, -1/4, -1/8, 5/24, 1/6, 1/12, 3/8, -1/2, -1/4, 1/4, -1/3, 1/4, 
  1/4, 1/3, 1/3, 5/12, -1/6, -1/6, -3/4, -1/2, 1/6, 1/2, -1/6, -5/6, -1/3, 
  1/6, 5/6, -1/3, 1/3, 1/4, 1/4, -1/4, -1/6, -1/6, 1/6, -1/3, 1/3, 1/8, 1/8, 
  -1/12, -1/12, -3/8, 1/12, 1/4, -1/6, 1/6, 1/2, -1/2, -9/4, -9/4, -2, -2, 
  -3/2, -1/2, -1, 1, 1/2, 1/2, -1/4, 1/2, 1/2, 1, -1, -1/2, -5/4, 2, 5/2, 
  5/4, -2, 5/2, 5/2, -5/2, -1/4, -1/4, 1/4, -1/4, 1/4, 1/4, 1/2, 1/2, -1/2, 
  -1/2, -2/3, -2/3, 2/3, 2/3, 1/2, -1/2, -1/2, -1, -1, 1, 2/3, 2/3, -1/4, 
  1/2, 1/4, 1/6, 2, 1/2, -2, -1/2, -1/2, -2, 1/2, -1/2, 1/2, 1/2, -1, 1, -1, 
  1, 1, -1, -2, 1, 1, -3/2, 1/4, 4/3, -5/6, -1/6, 1/4, -3/2, 1/6, 5/4, -3/4, 
  -1/4, 1/6, 3/4, 3/4, 1/4, -11/12, 3/4, 1/6, 1/4, 1, -1/12, -1, -1/4, -1/6, 
  1/4, -3/2, 1/4, 1, 7/12, 1/3, 1/2, -2, -1/3, 1, -7/4, -1, 7/4, -1/2, -1/2, 
  3/4, 1/2, 1, 1/2, -1/2, -1/2, -2/3, -7/6, 2/3, -1/6, -1/24, 1/8, 1/24, 1/6, 
  -1/8, 1/4, 1/3, 1/3, 1/6, -1/6, -1/4, -1/6, -1/12, -1/12, -1/3, 1/12, 1/4, 
  1/12, 1/6, -3/4, -1/2, -1/6, 1/2, 1/6, -1/3, -1/6, 5/24, 1/12, 1/24, 1/6, 
  1/8, -1/24, -1/24, 1/24, -1/12, -1/3, 5/24, 7/24, 1/24, 1/24, 1/3, -5/24, 
  -1/4, -1/6, 5/12, -1/6, 1/6, 1/6, -1/3, -1/6, -1/12, -1/12, -1/12, -1/6, 
  -5/12, -1/3, -3/4, -5/12, -1/6, 11/12, -1/3, 5/24, -1/12, -5/24, 1/12, 
  1/24, 1/4, -1/8, -1/4, -1/6, -1/12, 1/6, -1/4, 1/2, -1/2, -1/2, -1/3, 1/6, 
  -1/6, 1/2, 1/6, 1/6, 1/6, 1/6, 1/2, 1/3, -5/12, -5/12, 1/6, 1/6, 5/12, 
  -1/6, 1/6, 1/6, -1/6, 1/3, 1/4, 1/2, -1/2, -1/4, 1/2, -4/3, -5/6, 4/3, 1/3, 
  -2/3, 5/12, -5/6, -1/6, 3/4, 1/2, -2/3, -1/2, -1/2, -1, 2/3, -1/3, 5/6, 
  4/3, -1/2, -1/3, -1/6, 1/6, 1/4, -1/8, 1/3, 7/12, -1/6, -1/6, 1/24, -7/24, 
  1/12, 1/12, -3/4, -1/4, 5/12, 1/2, -1/2, -1/12, -1/4, 1/6, -7/12, -5/6, 
  1/6, 13/12, -1/4, 1/4, 1/12, -5/36, -1/12, -1/8, -2/9, 1/12, 1/12, 3/8, 
  1/4, -1/12, -1/4, -1/9, 5/24, -5/24, -1/8, -1/8, 1/12, 1/12, 3/8, -5/24, 
  -1/6, -7/24, 1/6, -1/3, -1/3, 1/12, 1/8, -1/24, -1/12, 1/12, 1/12, 1/6, 
  1/6, 5/4, 1/4, -1/4, 45/16, -9/4, 9/8, -5, -5/2, -9/8, -1/2, 7/3, -11/3, 
  17/4, -17/4, 1, 1/4, 5/2, 5, 5/2, -5/2, -3/4, 3/4, -1/2, -1/2, -1/2, 1/2, 
  1/2, 3/2, -3/2, 3/2, 3/2, 1, -1, 1, -1, -1, -1/4, 1/4, 3/2, 3/2, -3/2, 
  -3/2, -1, -4/3, 7/3, 4/3, 4/3, -1, -11/24, 43/24, 19/12, 7/12, 3/2, -19/12, 
  3/4, 5/4, -115/8, 5/4, 5/2, -115/8, -5/4, 119/8, 127/8, -117/8, -119/8, 
  -9/8, -1/8, -2/3, -43/24, -11/24, -7/12, -9/4, -19/12, 2/3, 19/12, -2/3, 
  -3/4, -1/2, 1/2, 1, 5/4, -3/4, -3/4, -11/12, 5/2, 11/12, 3/2, 2/3, -2/3, 
  -2/3, 5/6, 5/4, 3/2, -3/2, -13/12, 1/6, -1/6, -1/6, 1/6, -1/6, -1/9, -4/9, 
  -5/18, -4/9, -1/3, 1/3, 1/3, 1/2, 1/2, -1/2, 7/12, 3/8, -3/8, 1/24, -1/9, 
  1/72, 4/9, -1/4, 1/12, -1/12, -1/3, -1/4, -1/4, 1/4, -7/12, -1/3, 1/2, -3, 
  -1, -2/3, -2, -1/3, 1/8, -3/2, 47/12, -17/16, -5/4, 11/6, 5/4, -1/3, 27/2, 
  5/12, -277/12, -5/12, 115/12, -113/24, -5/12, 11/3, -1/12, -3/4, 5/12, 
  -1/2, 1/2, 419/18, 3/2, -1/2, 2, -25/12, 11/4, 1/3, -1/2, 1, -2/3, -1, 
  -3/4, -11/4, -1/3, 3/4, 1/4, -7/12, -9/4, -1/2, -5/12, 1/6, 4/3, 1/4, 
  -5/12, 7/12, 1/2, -7/12, -1/4, 11/12, 5/12, -11/12, -1/6, 1/3, 5/12, 13/12, 
  -5/12, 19/12, -4/3, 5/6, -25/12, -1/6, 1/2, -1, -1/4, 3/4, -1/2, -1/12, 
  -7/6, 1/3, -3/2, 4/3, -2/3, 8/3, 1/6, 3/4, 49/12, -1/6, 1/12, 115/24, 
  29/24, 61/24, -77/8, -47/24, -119/24, -5/12, 119/24, -1/24, 5/24, -7/24, 
  1/24, 1/12, 5/12, -3/8, -3/8, -1/12, -7/8, 19/24, -1/6, 7/24, -5/12, -1/2, 
  1/6, -1/6, 5/24, -1/2, 1/4, 1/4, 7/12, -1/12, 13/12, -1/4, 1/12, -5/6, 
  5/12, -13/72, -1/6, -5/24, -1/12, 11/72, 1/6, 1/12, 1/24, -1/18, 3/8, 1/24, 
  -5/12, 5/36, 1/12, 7/24, 5/24, -1/12, -25/72, 1/9, -23/72, 5/24, -1/12, 
  3/8, 11/24, -1/12, -1/2, -5/2, 127/8, -215/8, -1/6, 227/12, 829/48, 7/4, 
  7/6, 29/24, -803/12, 35/9, -31/12, -25/9, -19/6, 953/36, 31/9, -29/8, 
  401/24, 115/8, 29/8, 1, -13/6, -53/12, -25/12, 5/12, -11/4, -1, -5/12, 
  11/3, 1/4, 35/18, 115/36, 1/3, -31/18, -5/9, -5/12, -25/18, -1/3, -17/36, 
  5/9, -1/8, 3/8, -1/8, -7/2, -493/36, 937/72, 43/3, -623/72, -991/72, 
  -23/12, -2431/72, 1219/36, 991/72, 7/8, 15/8, 1, -7/8, 1/24, -2, 2, -3/4, 
  5/4, -2, -2, -1/2, 1/4, -1/2, 1, -1, -1, 1/4, 1/4, 2, 2, 4, 6, 2, 2, -2, 4, 
  1/2, -3/2, -1/2, -5/4, -3/4, -1/2, 7/6, 8/3, 7/12, -1/6, -1/2, 1/2, -1/2, 
  3/4, 5/4, 3/2, 1, -1, 3/4, 11/4, -3/4, 3/2, -5/2, -7/2, -9/4, 7/6, 1/6, 6, 
  7/2, 19/12, -7/2, 1/2, -1/6, -1/2, 9/4, -7/6, -23/12, 7/6, 1/6, -10/3, 7/6, 
  3/4, 13/12, 1/6, -1/6, -1/6, -1, -3/2, -3/2, 3/2, 3/2, -3/2, 1/2, 1/4, 5/2, 
  -11/4, 1/4, -1/4, 3/4, 7/6, 1/6, -1/2, -11/12, 1/2, -1/6, -1/4, 5/2, 5/6, 
  -1/6, -23/6, 1/6, 1/6, 3/4, 1/2, -1/6, -1/2, -11/4, -1/6, 1/6, 19/3, 1/3, 
  -1/6, -43/12, 1/3, -1/3, -1/4, -1/4, 1/4, -11/4, 1/6, 1/6, 9/2, -1/6, -7/4, 
  1/3, -1/3, -1/4, -1/4, 1/6, 1/6, 3/4, -1/6, -1/2, 1/3, -1/3, -5/4, -5/4, 2, 
  5/4, -5/4, -423/2, 37/8, 11/36, -1/2, 1, 1/2, -3, -1/2, 5/4, 3, -1/2, 9/4, 
  1/2, 4, 1/2, 15/4, 1, 1, 13/4, -1/4, 3/2, 5/24, -5/24, -1/2, -1/2, 1/2, 
  3/4, -3/4, 3/4, -1, -1, 1, 3, -3, -11/4, -1, 1, 1, 2, -5/2, -7/4, 1/2, 1/2, 
  -5/4, -3/2, 1, -2, -3/2, 7/12, -7/12, 1/6, 1, -1, 1/2, 1/12, 1/2, -1/2, 
  -1/2, -3/4, -5/4, 5/4, -1, -3/4, -11/4, 11/4, -423/2, 423/2, -827/4, 
  199/72, 1/2, -5/4, -3/4, 7/4, 5/4, -2, -5/2, -7/4, 2, -15/4, -13/4, 3/2, 
  15/4, 13/24, -1/4, -13/24, -13/24, -13/24, 13/24, 5/24, 5/24, -5/24, 1/2, 
  -7/24, -1/2, 37/24, -13/24, -37/24, -9/4, -9/4, 9/4, 1/4, -1/4, 1, -9/4, 
  -11/4, -5/4, -2, -5/3, -23/12, 5/3, -1/3, 7/4, -5/4, -7/4, 5/2, 3/2, -3/2, 
  3/2, 1/4, 1, -1/4, -13/4, 5/12, -5/12, -17/12, -1/6, -1/6, 1/6, -17/12, 
  3/2, 7/3, 13/12, -11/6, -1/3, 1/12, 2, 17/12, -1/12, -2/3, 1, -1, -3/2, 
  3/4, 1/2, 1/2, -5/4, 1/2, 7/4, -7/6, -31/6, -1/2, -7/12, 5/2, -9/4, -1, 
  -1/6, 11/3, 1/6, 5/2, 7/6, 1/6, -7/4, -131/48, -1/6, 25/16, -1/6, 7/24, 
  -3/4, -5/2, 11/2, -13/12, 1/3, 1/12, -31/12, -5133/16, 5133/16, 5133/16, 
  -3, 3, 1807/16, -1759/16, -1759/16, 2557/8, -3441/16, -709/96, -8479/16, 
  201/32, 65/144, 5095/16, -423/2, -5095/16, -445/12, 1711/8, -709/96, 
  -3441/16, -709/96, 36, 85/6, 11/24, 1711/16, -423/2, -1711/16, 7/2, -7/2, 
  -7, 7/2, 7/2, 3/2, -3/2, 1, -1, -3/2, 3/2, -1/2, 3, -3/2, -3/2, -1, 1, 3/2, 
  -3/4, -2, -37/12, -11/4, -1/6, -1/2, 3, 13/4, -1, 3/4, 5/4, -13/12, -3/4, 
  -3/2, -7/2, 3/4, 7/6, 1/6, 5/2, 1, -5/3, -1, 11/4, -1/6, -11/4, 3/2, -19/4, 
  -9/2, -37/12, -6, -1/6, -1/2, 11/2, 13/4, -1, 15/4, 3/2, 1/6, -15/4, 1/2, 
  5/4, -7/6, -13/4, -16/3, -1/6, -3/2, -25/12, 41/12, 1, 2/3, 4/3, 1/6, -2/3, 
  1/3, 1/12, -1/4, -1/12, 19/4, 7/3, 1/3, -241/24, -7/3, -7/8, 127/24, -1/3, 
  1/3, 1, 13/8, 5/6, 1/6, 1/6, -127/48, -119/48, -1/6, 79/48, 3/8, 1/6, -3/8, 
  1, 13/6, 7/6, 1/6, 1/6, -17/16, -59/48, -1/6, 1/16, -3/8, 1/6, 3/8, -5/12, 
  -1/6, -1/12, -1/3, 1, 7/6, -7/12, -7/6, -1/6, -11/12, 7/6, -1/2, 5/6, 1/6, 
  -1, -5/2, 5/4, -5/12, -1/6, 13/4, 1/3, 1/6, 1/12, -21/4, 1/12, 1/6, 71/12, 
  1/3, -15/4, 5/12, 1/6, 31/12, 1/3, -5/12, 1/6, 5/12, -1/6, -1/12, 7/6, 
  -1/2, 1/4, -1, 23/6, 5/6, 1/2, -35/12, -1, 1/2, 1/2, -5/3, 1/6, 1/6, -5/12, 
  3/4, -1/6, -11/12, 19/6, -5/6, -1/6, -23/6, -1/3, 5/12, 5/12, -5/12, 19/6, 
  -7/6, -1/6, -2, -1/3, -1/2, 2, -2, -809/36, 1687/12, -469/144, -3413/24, 
  -709/144, 93/4, 241/36, -61/72, 1, 1/2, 1663/24, -283/2, -1687/24, 1/4, -4, 
  7/6, 47/12, -7/6, -1/6, 55/12, -5/12, 5/12, 1/6, -3/4, -1/2, 2/3, 1/2, 
  15/4, 13/6, -7/6, 1/6, -19/3, -7/3, 1, 31/12, 2/3, -2/3, -1/4, 13/4, 5/6, 
  -41/12, -7/6, -1/6, -10/3, 1/6, 13/12, 3/4, -1/6, -1/2, -7/4, 1/3, 1/6, 
  35/6, 4/3, -1/3, -49/12, 1/6, -1/6, -7/4, 1/3, 1/3, 1/4, 109/48, -1/6, 
  -1/6, -3/4, -1/2, 1/6, 1/2, 1/6, -5/12, 5/12, 1/4, 1/4, -1/6, -1/6, -3/4, 
  5/12, 1/3, 7/12, -1/3, 2/3, 2/3, -1/6, -1/4, 1/12, -2, -7/6, -1/6, 11/6, 
  -1/3, 421/4, -827/8, -4993/96, -1987/24, 3403/16, 1673/16, -57173/144, 
  -423, -13189/96, -19/16, 2769/32, -19079/144, -5095/16, -3/4, -1/4, 1/2, 
  -1/2, 5/4, -1/2, 3/4, -5/4, -1/4, -11/4, -9/4, 5/2, 4, 15/4, -5/4, -1/12, 
  -3/2, -23/36, 67/36, -67/36, -5/24, -7/4, 7/4, 3/4, 1/6, -1/6, 423, 
  -2115/4, -423, 1711/16, -57/16, -1711/16, -8555/48, 8555/48, 5503/12, 
  1269/4, -3561/8, -7329/16, -423/4, 423/4, 423/4, 10621/24, 423/2, 
  -13539/32, -1739/4, 20365/48, -1613/8, -13403/32, -7555/18, -4085/288, 
  -115/48, 1/4, 4085/288, -4369/864, 7/6, 4369/864, 50099/288, 865/4, 
  4451/288, -48283/288, 10999/72, 1673/8, 4667/288, -869/6, -148/9, 148/9, 
  11/72, -1699/12, -1, 1, 1759/48, 15185/288, 6129/16, 8105/96, 4777/144, 
  3535/24, -34313/288, -19/16, 19379/288, -19361/144, -3365/24, -1/4, 1, 
  -1/4, 1, -6881/144, -6145/72, -2275/8, 491/8, 8825/288, -3403/24, -1459/16, 
  19/16, 3457/24, 12601/32, 3365/24, 1/2, -1/2, -15/4, -15/2, -19/4, 15/4, 
  13/24, -1/4, -13/24, 1/2, -1/2, 1/2, 3/4, -1/2, 7/4, 3/4, -3/4, -7/4, 1/4, 
  -1/4, -2, 2, -2, -2, -3/2, 3/2, -3/2, 2, 3/2, 1/4, -1, 1/4, 7/12, -1, -2, 
  1, 2, 1, 2, 1/2, -3, -2, -1, 1/2, 1, -2, 3043/432, 15941/1728, -33/4, 
  -341/216, 11/4, 29/12, -5/6, -23/12, -11/12, -3, 7/2, 11/12, -9/4, 457/24, 
  235/12, 1/4, -457/24, 10333/1728, -5/2, 107/6, -10333/1728, 1747/432, 
  -379/216, 79/8, 307/216, 2917/432, 431/216, 81/8, -139/108, -1/4, 1/4, 5/4, 
  3/2, -1/6, -1/6, -4/3, 23/12, 27/4, 53/12, 23/12, -53/12, 7/3, -2, -3/4, 
  5/4, 5/2, -7/4, -1/4, -1/6, 1/4, 29/12, 2/3, 1/2, 10/3, -7/2, -13/4, 
  -31/12, -4, -11/12, -13/12, 5/12, -43/12, -7/12, -2, -17/12, 1/12, 1/2, 
  -1/3, 1/3, 1/3, -1/3, 2/3, 1/3, 161/24, 25/9, 25/24, -71/9, 2/9, 173/72, 
  85/36, -85/36, 1/24, 13/36, 13/36, -13/36, -17/24, -1/4, 1/4, -7/3, -4/9, 
  301/72, -2/9, -1/4, -5/24, 5/24, -1/24, -1/4, -1/4, 1/4, 17/24, 35/12, -4, 
  -3, 101/24, -1/2, -4, -125/24, 125/24, 23/8, 1/6, 1/6, -1/6, 29/24, 215/3, 
  7/8, -1099/48, 79/48, -1/3, -1217/24, -2505/8, -911/24, -1219/72, 3415/16, 
  1/3, -3415/16, -218/9, 4063/864, -685/144, 17/48, -31103/216, 17269/54, 
  1417/288, 18187/108, -2537/6, 2537/6, -9833/144, -1141/8, 568/9, 1141/8, 
  709/144, -1187/12, 5/12, -212/9, 5/18, -844/3, 283/2, 5075/24, 1, -3, 2, 
  -1487/24, 21/8, 1673/18, 12541/48, -1, -1/2, 5905/72, -3/2, 7/4, -5/2, 
  55/12, -4/3, -1/6, 1, -2, -9/4, 1/2, 9/4, 19/4, 17/12, -9/4, -2, -7/8, 1/2, 
  5/6, -13/24, 127/48, 1/8, -5/12, -31/48, -11/8, 1/4, 11/8, 15/4, -1, -7/2, 
  1, -17/4, -5/12, -2/3, 5/12, -1/2, 5/3, -4/3, 1, 1/3, -3/4, 5/3, -2, 1/12, 
  -7/3, 5/12, 5/2, 11/3, 5/12, 31/12, 1/3, 5/6, -53/12, -1/3, 3457/1728, 
  1583/432, -329/24, -103/48, -248/27, 155/8, 103/48, 1/3, -1/4, -1/3, -13/4, 
  -3/4, -5/12, 13/4, 3/4, 1/6, 11/4, 1/3, -3/4, 7/12, -2/3, -7/12, 31/12, 
  5/6, 3/4, -19/4, -2/3, 19/4, 1/12, 11/3, -17/4, -11/12, 3, 1/2, 1/3, -17/4, 
  -5/6, 29/18, -13/18, 5/12, -1/6, 1/6, -259/144, -1/3, -1/6, -1/12, 1/6, 
  -3/4, -1/12, 11/12, -4/3, -1/3, 1, 95/48, 1/3, -31/48, -1/6, 7/12, -5/12, 
  1/6, -23/4, -2/3, 2, 11/6, 5/12, 71447/864, -31351/96, 3475/288, 
  -15785/216, -13841/72, 5911/24, 8411/24, 17923/72, 854/3, -18461/144, 
  -17945/144, 709/8, 3187/36, -9799/36, -72361/432, -110081/432, -989/32, 
  -71525/216, -5120/9, -461/8, 122933/864, 7243/48, 247745/432, 21419/36, 
  -2719/432, -2425/216, -251/12, 179/216, -11/4, 17/6, 61/12, 35/12, -1/12, 
  11/2, 7/2, 5/6, -61/12, -5/4, 11/72, -13/18, 25/24, -7/12, 2/9, -11/12, 
  -1/9, 193/72, -2/9, -49/48, 77/48, 9/8, -73/48, 25/6, -76349/1728, -928/27, 
  -509/48, 16801/432, 155/18, 23/4, 36443/1728, -42899/1728, -155/18, 
  -265/48, -49/24, 19/48, -37/48, -3/2}}
