{{1, 1, -1, 1, 1, -1/2, 5/2, -5/2, -3, 3/2, 3/2, -1/2, -1/2, -1/4, -5/4, 
  -1/4, 1/4, -7/4, -5/4, 1, -3/4, -3/4, -3, -1/4, -15/4, -23/4, -1/2, -2/3, 
  1/6, -4, 7/6, -6, -2, 1/8, 1/12, -15/4, 1/4, 1/4, -29/12, -5/8, 1/8, -3/8, 
  3/8, -33/8, 1/4, -1/2, -31/4, -5, -1, 1/8, 11/24, -1/4, -7/12, 1/3, 1/3, 
  -3/8, -1/4, 11/12, -1/3, -1/3, -29/8, -101/24, 31/8, -1/12, 17/12, 7/2, 
  -4/3, -23/4, -28/3, 1, 35/6, -29/12, -53/12, 29/12, 1/12, -1/18, -1/24, 
  1/6, 1/36, 239/72, -1/24, 7/3, -5/8, 1/12, -1/18, -1/36, -2/9, -1/9, 7/36, 
  1/12, 4/9, 2/9, 1/12, 1/12, -2/9, -1/9, -4, -25/6, 4, -1/12, 13/36, -7/9, 
  -1/24, 91/72, -1/6, 61/36, 43/18, 1/4, -19/18, -89/12, -181/18, -5/24, 
  23/3, -11/36, 29/36, -79/18, -209/36, 169/36, -1, -1, 1, -3/4, 3/4, -3/8, 
  -3/8, 1/8, 5/8, 9/8, -1/4, -13/4, 11/4, -3/2, 3/2, -3/2, 1/2, -3/4, 3/4, 
  -3/4, 1/4, -5/4, 7/4, 5/4, -15/4, -25/4, 25/4, 10, 5, -5, -5, 1/4, 9/4, 
  -5/2, 5/8, 9/8, 3/2, 1/4, -15/8, 3/8, 1/8, 11/16, -3/4, 1/16, -1/4, -7/8, 
  3/8, -1/2, 7/12, 35/16, -55/48, 9/16, -1/4, -1/12, 13/4, 1/4, 1/12, -2, 
  -35/8, -65/96, 6, 25/2, 7/2, -13/24, -11/2, -6, 289/24, -37/12, 53/24, 
  50/3, 53/8, -113/48, 61/48, 1301/48, 443/48, -135/8, 755/48, -53/12, 
  -151/4, -41/2, 41/96, 25/24, 15/8, 4, 5/8, -51/4, 1/16, 1/12, -5/16, 1/3, 
  15/8, -17/16, -9/8, 19/12, -3/8, -1, 1, 2, -3, 5/2, 31/8, -11/16, -1/16, 
  -1/6, -1/24, 1/8, -1/24, -1/24, -1/6, 1/48, 61/48, 23/48, -1/4, -1, -1/6, 
  7/16, 59/24, 61/16, 95/48, 1/24, -19/12, -1/12, 7/12, 35/24, -1/16, -85/24, 
  2, 197/24, 15/2, 55/48, 1/4, 9/16, 47/48, 1/2, 23/36, 13/18, -43/18, -2, 
  -2, 11/4, -2, -5/12, 13/36, -137/72, 15/4, -197/24, -503/288, 1/12, 
  -457/96, -11/6, -3/8, -17/48, -19/72, -11/24, 3/16, -7/24, 719/144, 43/48, 
  17/24, 47/36, -19/24, -1/12, 1627/144, 461/48, 1463/144, -263/48, -227/12, 
  143/48, 1/24, -239/144, -97/48, 1/48, -157/48, -47/12, 2203/144, 89/72, 
  -455/24, 2221/144, 169/36, 45/16, -187/18, 373/18, 61/8, 1/3, 2/3, 1/3, 
  -5/9, -31/36, -11/36, 35/96, 35/96, -4/3, -4/3, 25/24, 19/24, -35/96, -2, 
  -59/72, 1/12, -1/16, 1/24, -7/18, 5/18, -97/12, 1/9, 31/144, -349/18, 
  67/36, 1/2, -35/48, 1/3, -3/8, -5/6, 19/24, -5/24, 1/3, -1/4, 1/48, 23/24, 
  1/2, -1/12, -3/8, 1/4, -7/72, -3/16, 7/12, 1/16, 107/48, -97/48, 17/16, 
  -7/4, 5/4, 13/24, 31/12, -49/72, -79/18, 5/2, -11/16, 1/48, -79/24, 5/16, 
  -21/4, 1/2, -10, -3/2, 7, 25, -3/8, -3/4, 3/2, -9/2, 25/4, -5/4, 7/2, -9/2, 
  -191/48, 373/48, 1/8, -2, -3/8, -215/24, 73/16, 55/6, -62/3, -16/3, -17/8, 
  17/8, 1/4, 7/2, 23/8, -35/4, -49/8, 4, 55/8, 1/8, 21/16, 1/4, 49/12, 3/8, 
  -19/8, 911/48, 209/48, -143/24, 291/8, 41/4, -11/16, 1/2, -23/2, 21/16, 
  -5/6, 2, 89/6, 179/6, 79/12, 43/24, 111/8, 281/24, -205/12, -21/4, -31/6, 
  -301/24, -71/6, 55/48, 2/3, 1/12, 7/8, 5/4, -411/32, -7/24, -149/48, 
  -847/24, -365/48, -7/4, 173/16, 73/16, 799/16, -271/16, 109/16, 103/8, 
  -41/8, -37/16, 139/16, 43/16, -37/16, -7/2, -25/2, 149/16, -79/16, 49/2, 
  25/4, 25/8, -379/8, 1/6, -1/6, 1/6, -1/6, -1, -1/2, 1/2, -1/2, -1/3, -1/3, 
  1/3, -1/3, 7/6, 7/12, 1/12, -1/12, -2/3, 2/3, -2/3, -1/24, -1/3, -1/3, 
  -1/2, -1/2, -1/24, 1/4, 2/3, 25/12, 1/3, 1/2, -13/6, 13/6, 4/3, 1/2, -5/4, 
  -1/3, -1/3, -5/6, -1/6, -1/2, 1/12, 1/24, -3/4, 7/24, -1/4, 1/3, -7/24, 
  17/12, -5/6, 7/24, -1/4, 19/24, -5/12, 1/8, 1/4, -1/4, 7/24, 13/12, -2/3, 
  -7/24, 1/12, -1/12, -4/3, 5/12, 1/6, 1/24, 5/8, 17/12, 11/8, 25/24, -17/12, 
  -5/3, 41/24, 25/24, -47/24, 3/4, -1/3, 1/3, -1/6, 1/3, 5/12, -1/3, -1/4, 
  1/3, 1/12, 3/8, -1/48, -1/24, 1/8, 5/16, 23/24, -1/6, -67/24, 1/4, 1/24, 
  5/3, 19/24, -13/12, -19/24, -49/24, 13/12, 5/4, -11/24, 13/24, 11/3, 
  -17/24, -1/3, -1/48, 35/24, 1, 1/48, -1/16, 1/48, -2/3, -11/12, -5/12, 
  -1/16, -15/16, 9/16, 11/12, 35/48, 67/48, 53/48, 7/12, -5/24, -1/2, 1/8, 
  -23/12, 37/12, -1/3, -17/6, 4/3, -203/24, 13/6, -1/32, -7/24, -1/2, -1/48, 
  -25/48, -67/48, 1/48, 17/6, 1/12, 197/48, -35/48, -29/48, -131/32, -1/4, 
  1/4, 1/4, 1/8, -9/4, -4/3, 17/8, 1/48, -1/8, -9/8, 5/6, 23/16, -3/4, 
  -23/24, 3/4, -7/48, -35/48, -11/12, -1/3, 1/8, 55/24, 51/16, 1/3, -9/4, 
  -211/48, 17/8, 5/48, 1/16, -37/24, 5/3, -21/8, -13/16, -13/12, 133/48, 
  -13/24, 31/24, 5/8, -35/24, -15/16, -3/2, 11/16, -17/6, -1/16, 11/16, 
  -79/24, -1/2, 1/48, -1/72, -1/144, -1/18, -1/36, 7/144, 1/48, 1/9, 1/18, 
  1/48, 1/48, -1/18, -1/36, -1, -25/24, 1, -1/48, 7/144, 19/18, -1/8, -1/96, 
  -317/288, -1/24, -137/144, -25/36, 1/16, 83/72, -89/48, -79/72, -5/96, 
  23/12, -11/144, -217/144, -7/24, -79/72, 37/144, 169/144, -1/4, -1/4, 1/4, 
  -1/12, -5/8, 1/4, 1/4, -1/6, 17/12, -5/6, 11/12, -7/12, -5/6, -7/12, 11/24, 
  -1/2, 11/12, 5/16, -5/12, 2/3, -1/3, 13/8, -2/3, -13/12, 1/2, -1/3, -1/12, 
  1, 5/24, -1/6, -1/24, -23/24, 5/16, 35/24, 2, -11/48, -43/48, -1/24, 7/8, 
  85/48, 1/3, 7/6, -1/3, -1/2, -7/12, -5/6, 5/12, -5/6, -5/12, 1/2, -1/6, 
  1/12, -1/2, 5/12, -1/3, 1/12, -1/2, -1/2, -19/48, -1/12, -1/6, -7/4, -1/6, 
  -1/12, 3/4, 1/12, -1/8, -11/12, -3/4, -17/48, -1/48, -1/4, -23/12, 3/4, 
  -7/4, -1/4, 3/8, 19/24, 23/24, -11/24, 15/2, 1/6, 1/24, -1/6, -19/24, 1/6, 
  -1/6, -2/3, 3/4, -3/4, -1/3, 3/4, 3/4, 1/2, 3/4, 3/8, -1/12, -7/12, -3/8, 
  17/24, -35/24, -659/36, 193/18, 1355/72, 611/48, 2263/144, 1595/144, 
  -2053/144, -79/36, 1471/144, 523/24, -433/18, -6127/144, -87/4, -9/4, 
  -25/3, 31/3, 8, 53/8, 7/6, 25/24, 7/24, -67/24, 29/12, -11/24, 127/12, 
  -31/3, -143/8, -55/8, -119/144, 715/144, -1595/144, -817/144, -167/24, 
  -1645/144, 181/72, 433/18, 2171/144, -425/72, -1645/144, -3857/144, 
  4769/144, 1091/72, 1/3, 1/6, -1/12, -1/6, -29/12, 1/6, 1/2, 11/48, -9/16, 
  -7/8, 1/4, -1/4, -29/32, 1/4, 1/12, 53/96, -3/2, -125/96, 41/32, 11/48, 
  25/48, -5/16, -631/24, 631/24, 631/24, -7/6, 1/12, 15/16, -1/12, 1/12, 
  -17/12, -1/12, 397/16, -397/16, -643/24, -11/48, 5/24, 5/16, 11/24, 7/24, 
  -5/8, 3/2, -5/24, 7/24, 417/16, -3/8, -1375/48, -417/16, -1/48, 695/24, 
  -695/24, -479/16, 1/12, 1333/48, -1333/48, -329/12, 1/8, 5/12, -139/48, 
  -5/24, -13/6, -25, 25/12, 1/48, 65/48, -65/48, -7/48, -7/48, -1/3, -7/48, 
  73/48, 37/24, 1/6, 17/24, 4/3, -1/4, 1/12, -11/24, 3/8, -1/12, 67/48, 
  35/48, 77/24, -121/48, -39/16, 15/16, -1/48, -1/2, 11/16, 1/24, -1/16, 
  61/48, -1/48, 23/48, -95/48, -7/12, -5/24, 17/16, -11/48, -21/16, -161/48, 
  -7/16, 7/24, -25/144, -1/8, 13/48, -503/288, -7/72, -193/576, 1/6, 49/576, 
  1/6, -7/24, 47/144, 269/144, 97/288, -239/144, 385/576, -13/24, -1151/576, 
  -1/6, -7/24, -77/144, -77/72, 269/144, 57/32, -239/144, 713/576, 113/48, 
  -1159/576, -191/144, -5/36, 7/288, -1/6, 49/72, 1/6, -323/48, 341/16, 
  -31/3, -175/16, -53/48, -305/16, 25/6, -3169/96, -741/32, -381/16, 829/32, 
  -45/8, 19/128, 463/36, 1639/96, 1943/128, 2105/96, -2017/96, -3199/128, 
  37037/1152, 14177/288, -1787/144, -37037/1152, -113/24, 17/96, -509/288, 
  2473/288, -3323/288, -4955/192, 2249/288, -211/144, 5099/192, -1817/288, 
  9145/576, -1187/576, 11987/576, -4381/576, 833/96, -13/32, -265/384, 
  -14975/1152, -2005/144, 15413/1152, -22063/1152, -4841/288, -1709/1152, 
  36571/1152, -34441/576, -2963/48, -6925/288, 38629/576, 43/12, -5/16, 
  -7/288, -71/48, 1/24, 5/24, 1/6, 11/144, 11/144, 5/2, 3, 2/9, 17/12, -5/24, 
  -5/24, 29/144, 5/72, -35/192, 1/6, -29/16, -235/288, -31/48, 1/2, 
  -6469/1152, 2219/192, 2005/144, 23711/1152, 30095/1152, 8195/288, 
  -7837/384, -11479/288, 40673/576, 31765/384, 79/96, -99403/1152, -7, 5/48, 
  -101/48, -19/48, -20443/1152, -2645/384, -65/48, 317/72, 2645/384, 
  13859/1152, 2/3, 2527/576, 1565/384, 176/9, 16253/1152, -1/96, -25/288, 
  17/32, -5821/1152, 1999/192, 41381/576, 30053/384, 1085/144, 1/48, 
  30359/1152, 8173/288, -10141/384, -37285/576, 20615/576, -10421/384, 
  -145459/1152, -71/144, 50759/384, 119447/1152, 2005/144, 23975/1152, 
  -2005/144, -26039/576, 28967/1152, -251/18, -22703/1152, -1/48, 24271/1152, 
  -35/18, 187/144, 2563/288, 5007/128, -955/36, -143/72, -5773/384, -151/96, 
  -323/144, -13145/384, -24187/1152, 36541/1152, -8843/1152, -7079/64, 
  -32113/384, -1/36, 235/144, 9311/576, 7175/288, 14983/384, 2053/144, 
  2177/384, -16235/1152, -8665/576, -39617/1152, 15031/1152, 2873/192, 
  58315/1152, -4679/144, -19829/1152, 11/48, -41/16, 18883/576, -17/48, 
  2453/192, 27/8, -473/144, -2453/192, -16235/576, 61/48, -4609/288, 
  -2129/192, -5905/144, -9689/576, -67/72, 247/72, 467/72, 3595/72, 
  24995/576, 1693/192, -11303/144, -20123/576, 4829/72, 14431/576, -7703/64, 
  749/144, 56149/288, 40685/288, -1/24, 7/16, -7/96, -25/48, 1/32, 1/48, 
  -281/48, -47/48, -17/8, 93/32, 1/4, -241/96, -25/48, -1/12, -37/48, -5/3, 
  -3/32, -35/48, 33/32, 19/24, -31/24, -187/48, -23/24, 7/24, 15/8, -3/4, 
  -7/24, 13/144, 1, 1/32, -17/12, -1/32, 55/48, 23/288, 17/8, -53/96, 7/72, 
  79/32, 1/12, -551/576, -1/3, 3/32, 83/48, -33/32, -3/2, -409/576, 187/48, 
  17/12, 5/24, -1/24, 3/4, -5/24, 1/32, 15/32, -199/144, 49/384, -15/32, 
  26125/1152, 125/1152, -2005/144, -12647/1152, -227/96, 18895/1152, 
  23585/1152, -53747/1152, -41857/576, 23903/1152, 625/1152, -27355/1152, 
  27103/384, 8591/1152, -53/96, 16421/384, 49457/1152, -5181/64, -51953/576, 
  -1/32, -5323/192, -89639/1152, 60083/576, 6889/192, -10807/1152, -127/9, 
  1/4, 14863/1152, 7/24, -1/32, -1/32, -1/24, -1/32, -23/96, -1/6, 9/4, 3, 
  185/288, -13/288, -61/32, -3/8, -11/32, 19/96, -65/32, 13/48, -33/32, 
  51/32, 83/32, 583/144, -71/288, -811/288, 5/24, 35/12, 1/6, -8/9, -1/6, 
  -1/32, -1/96, 79/96, -9/32, 1/96, -19/24, -5/16, 19/32, -1/48, 89/48, -1/3, 
  -25/32, 43/32, 11/32, -133/96, -1/32, 1/6, 11/32, -25/48, -1/4, -19/36, 
  43/16, 1439/1152, 9311/576, 7343/288, 32101/576, 15919/288, 2005/144, 
  23999/1152, 5339/1152, 7535/1152, 3233/1152, -4097/144, -51949/1152, 
  -23999/1152, -5867/576, -13643/576, -1255/128, 6943/1152, 12847/1152, 
  4371/128, 855/64, 34061/576, 243/4, -9859/576, -58771/1152, -8683/128, 
  8887/1152, -249/32, -18605/1152, -11/32, 49/6, 1/4, -301/24, -487/48, 11/9, 
  -163/36, 119/8, 173/72, 331/24, 1927/72, 279/8, -1543/36, -737/36, -355/16, 
  -3/2, -5/6, 1/64, -23/32, 1/12, 1/2, 13/24, 5/16, -53/48, 7/24, 7/24, -1, 
  7/6, 283/24, -7/12, 23/4, -2699/144, -1007/54, -5/3, 1517/144, 17/32, 
  -125/288, 389/144, 3367/288, 545/864, 5389/144, 5/6, 541/96, -7165/144, 
  3803/144, -245/8, -37/6, 19247/864, 4085/72, 31/3, -4085/72, -34489/864, 
  -1273/96, 8081/288, 97/8, -425/288, -11647/288, -1/3, 11/24, 1/6, -3/8, 
  15/8, 93/32, -2689/288, -2339/144, -2597/96, 10873/288, 511/24, -37, 
  299/96, 67/2, 109/12, 37/72, 359/32, -21695/1152, 20987/1152, 43991/576, 
  -5377/192, 2015/128, 54943/576, -18577/1152, 14471/1152, -1/4, 89/32, 
  2827/576, 11861/384, 171349/3456, 4001/384, 1595/1152, 56947/1152, 
  -458233/3456, -41891/1152, 43505/3456, 3937/64, -1081/9, -136477/1728, 
  -3393/128, -2089/144, -1013/16, -7847/128, -2005/144, 13267/1152, 3243/128, 
  9671/128, -13123/1152, -4649/192, -13807/192, 809/128, -18217/576, 
  -145043/1152, -20483/96, -56971/3456, -50219/1728, -19729/288, 
  -228827/1728, -266869/3456, -619/144, 63481/576, 189139/1152, 31891/864, 
  -8209/128, 413413/3456, 453085/1728, -400007/3456, -187081/1152, 
  -11731/216, 4133/288, 89/8, -971/288, 1981/384, 1981/384, -1/24, 
  -126719/1152, -109439/1152, -847/128, 120467/1152, -84529/576, -26315/144, 
  -2701/192, 41951/288, -7925/576, -491/144, 17429/1152, -7189/576, -1943/96, 
  -3707/576, -32915/3456, -21359/432, 107275/3456, 8237/432, 51107/3456, 
  -57/32, 533/64, 37/16, 61/192, -167/12, -16415/1728, -3583/144, 
  -30055/3456, -19565/576, 2947/72}}
