{{1, -1, -1, 1, 2, -2, 1, 1, -1, 1, 1/2, 1, 3/2, 1/2, 3/2, 1/2, -1/2, -1/2, 
  1/2, -1/2, 1/2, 1/2, -1/2, -1/2, -1/2, 1, -1/2, 3/2, 1, 1, 1, -1/4, -1/2, 
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  1/2, 3/4, 1/2, -1/4, -1/2, -1, 1, -1, -1, -1/2, 1, -1, 3, 1, 3, -1, -1, -1, 
  -1, 1/2, 1/2, 1/2, 1, 1/2, -1/2, 1, 3/2, 1/2, -1, -2, 2, 2, 1, 1, 2, 2, -1, 
  -1, 1, -1, -3/2, 1, 3/2, -1, 1/2, 1/4, 1/2, -3/4, 3/4, -1, 9/4, 1/4, 5/6, 
  -1/2, 1/2, -1/2, -1/2, 1/2, -3/4, -3/2, 1, -1, 5/4, 5/4, 1/2, -1/2, 3/4, 
  -1/2, 1/2, 1, -1/4, -9/4, 3/4, -5/4, 3/4, 3/2, 1/4, 1/4, -1/4, -1/2, 3/4, 
  -3/2, 2, 1/4, 1/4, -1/2, -3/4, -1, 1/2, 1, 1, 1, -1, -1, 1, -3/2, -1, -3, 
  6, 13/8, -15/2, 367/40, -83/60, -1139/60, 173/120, -47/5, 3, 291/20, 1/2, 
  1/2, -1, -1/2, 1/2, -1/2, -1/2, 1/2, 3/4, 5/4, 3/2, -2, -1/4, -2, 3/2, 
  -3/4, -1/2, 1/2, 1/4, -1/2, -3/4, 3/4, -1/4, 1/4, -7/6, -4/3, 1, 4/3, 7/6, 
  5/6, -23/6, -19/6, -3/4, -3/4, -2, -19/6, 3/4, 3/2, 1, 29/12, 3/2, 7/12, 
  -3/2, -7/12, -1/2, 3/4, 1/4, -1/4, -1/2, 1/6, 3/4, -1/6, 3/4, 1/4, 3/4, 
  1/2, -3/4, -1/2, -3/4, -1/2, 3/4, -3/4, -1/2, -1/4, 367/80, -83/120, 
  -47/10, -959/120, 291/40, -191/120, 21/4, 1/4, -1/4, -1/4, -1/2, 3/4, 3/4, 
  1/4, -1/2, 1/2, -1/4, 1/4, 5/3, 4/3, -1, -4/3, -1/4, 1/2, 1, -1, 4, 4, -2, 
  2, 2, 3, -1, 15/2, -3/2, -2, 1/2, 3/2, 3/2, -3/2, -3/2, 3/2, 3/2, -5/2, 
  1/2, -13/6, -1, -4/3, -4, -229/8, 1, 3/2, 1/2, -1, -387/20, 417/10, 
  4699/120, -3557/60, -287/120, 4, -4, 1, 3, -1, 4, 4, -1/2, 1/2, -1, 1, 1/2, 
  1/2, -3/2, 2, -3/2, -1, 7/4, 1/2, 1/2, -1/2, 1/2, 1/2, -1/2, -1/2, -1/2, 2, 
  2, 2, -1/2, 2, -1/2, 1/2, 2, 1/2, 1, 5/2, 2, -1, -1/2, 9/4, 1/2, -1, 5/4, 
  1/2, -5/4, -2/3, 1/3, -1/3, -7/4, 2813/120, -1291/15, -4893/160, -1397/24, 
  173/4, -7631/240, 247/40, 3091/480, -457/30, 5011/480, 583/60, 6879/160, 
  2627/60, 19969/480, 1, 5, -5, -5, 1, 3, 5, 7, 5, -3, -5, -2, -5, 4, 4, -1, 
  -1, 1, -4, -4, 1, -7, 1, 1, -1, -1/2, 1/2, -1/2, -3/2, 3/4, -3/2, 5/2, 
  -1/4, -1/2, 1/2, -1/2, 2, 1/2, -7/12, -8/3, 3/4, 1/3, 7/6, 19/6, 7/3, -3/2, 
  1/2, 3/4, -1, 1/4, 1/4, -1/2, -3/4, 1/2, 1/2, -387/40, 349/60, -29/8, 
  417/20, 733/120, -2333/96, -407/240, 7109/240, 527/480, 5/2, 23/4, -23/4, 
  1/2, 1, 3/4, 5/6, -5/4, -1/2, 5/12, 3/2, -1, 3/4, -3/4, -5/4, -1/4, -3/4, 
  1/2, 1/4, 7/4, -3/2, 3/2, -1/2, 1/4, 3/4, -1/4, 1/4, -5/6, -13/6, 5/6, 
  -19/6, -1/4, -5/6, 4/3, 3/4, -11/6, 247/80, 1787/240, 1249/120, -43/60, 
  6719/320, 33/32, -1469/120, -257/40, 8701/240, 9/2, 2911/96, 4439/128, 
  -9053/120, -3139/1920, -3/4, 7/4, 5/4, 5/4, -1/2, -1/2, 3/4, 1/4, 11/4, 
  3/4, -35/12, 5/2, 11/6, -43/12, 14/3, 5/4, -5/2, 25/12, 5/4, 1/2, -3/4, 
  -9/4, 1/2, 5/2, -1/2, 1/2, -3/2, -1/2, -19/3, -7/6, -13/6, -7/3, -1, -3/2, 
  5/3, -9/2, -11/12, 1, 1, 37/8, -7/2, -1, 5/2, -5/2, -9/2, 11/2, -1/2, -1/4, 
  5/2, 33/8, 1/2, 1/2, -9/2, -1/2, -1, 1/2, -1/2, -1, -1/2, 1/2, 1, -5233/80, 
  -23809/480, -10943/960, 3659/40, -18563/960, 3/2, 2, 2, 7/2, -3/2, 3, -1, 
  -7/2, -27/2, 7/2, -7/2, 3, -9/2, -3, -3/2, 5/3, -5/6, 5/2, -23/12, 3, 
  -37/6, 29/6, 9, 25/6, -7/2, -3/2, 3/2, 3/2, -1, -1, -3/2, -3, 3, -3/2, 
  -3/2, 3/2, -3/2, -1, -1/2, -1/2, 1/2, 1, -3/2, -1, -1, -1, 1, 1/2, 1/2, -1, 
  -1, -1/2, 1, -1, 1, 1/2, -1/2, -1/2, -3/2, -1, 3/2, -1/2, -1/2, -1, 1, 1, 
  1, 1, 1/2, 1, -1/2, -1, -1/2, 1/2, 1, -1, 1/2, 1/2, 1/2, 1, -1/2, -1/2, 
  1/2, 1/2, 1, 3/2, -1/2, -1, -1609/96, 35497/1728, -51721319/1080576, -3/2, 
  -3, 1, 3, 3/2, -1, 1, 1, 7/3, -7/3, -7/3, -1/4, 3/2, -1/2, -1/2, -3/2, 1/4, 
  -3/4, 3/4, -3/4, -3/4, 3/4, 3/2, -2146778593/24312960, -782355199/6078240, 
  20659748831/145877760, 442034881/12156480, 11531847401/145877760, 
  23073551/1800960, 1902778933/10419840, -385502851/4631040, 
  995998141/12156480, -37618035691/291755520, 183168883/5402880, 1, 
  -14283953/360192, -957127/120960, -1/2, 369905917/6483456, 
  -90914839/1200640, -1967334923/14587776, -387/10, -1180903/45360, 
  -14283953/135072, 38/5, -146278781/3039120, -11087/360, 
  -8051716963/72938880, -126677507/10805760, -16156195/303912, 
  13491562171/291755520, -105832789/1080576, -214489007/3039120, 
  2910177733/48625920, 510212593/5402880, -3739/5760, 40097623/1080576, 
  -175638923/3039120, 1163464663/16208640, 4912187/128640, 
  1634290579/24312960, 5/4, -3/4, -5/4, 13/4, 3/4, -1/4, -1/2, 5/4, 1/4, -3, 
  -3, 3, -3, 1, -2, -9/2, 2, -1/2, 2, -9/2, -3/2, -1, -1, 1, -1, 1/2, -2, 2, 
  -7/3, 7/3, 7/3, 5/6, 5/6, 1, 5/6, 7/3, -7/3, 2/3, 1, -1, -1, 1/4, 1/4, 1/2, 
  -1/4, -3/4, -1/2, -1/4, -1, -3/4, 1/4, -1, -7/4, -3/4, 1, 
  1902966617/145877760, 1301863/120960, 2760954277/36469440, 
  95117797/6078240, 122056979/3241728, 31945051/1519560, -3432869/2026080, 
  2822594123/29175552, 74120237/759780, 7248251023/145877760, 
  1141539823/9725184, -4700417/2177280, -52781859587/145877760, 
  -2448897821/12156480, -3271242817/48625920, 128869939/2026080, 
  -1301863/120960, -92062951/600320, -636583/45360, -122056979/3241728, 
  -2782736849/14587776, 16928709571/72938880, 5538788767/29175552, 
  3197711/37989, 6265414567/29175552, 12618400693/72938880, 
  -81439451/1519560, 8046019/1389312, 1, -4, -4, -3, 1, -2, -5/2, 2, 2, -1/2, 
  2, 2, -4/3, -4/3, -1, 1, -1/3, 1/2, -2, 1/2, -2, 1, -1/4, -2, 1/4, 1/2, 
  1/2, 7/4, 1, -3/4, -1, 1/2, 3/2, -1, 1, -3/2, 3/2, 1, -7/4, -5189/160, 
  446870999/32417280, -93802949/868320, 4709659/103680, 36361/2592, 
  738669373/18234720, 49760027/675360, -9825827863/72938880, 1185941/607824, 
  -8364997/126630, 1378540403/24312960, 27633440887/291755520, 
  31652513/540288, 1/2, -7/4, 5/4, -1/2, -19/4, 1, -3/4, -5/4, 11/4, 1/2, 
  1/4, -1, -5/4, -1/2, 1/2, -2, -1, 1, -1/6, 1, 1, -1, 1/6, 5/6, 1, -1/4, 
  5/4, 3/4, -1/2, -3/2, -5/4, 1/4, -1/2, 1/2, 1/2, -3/4, -3/4, -1/2, -1/4, 
  1/2, -1, -7/4, -1, 1, 1, -1/2, -1/4, -1/2, 1/2, 1/4, -1, -1, -1, -3/4, 1, 
  -1, -1, -3/4, -1, 1, 1, 1, 1/2, -1, -1, -2, 2, 3, 1, 1, -2, 3/4, 3/2, -3/4, 
  1584405817/18234720, -11647960313/145877760, 444002431/14587776, 
  -28363486919/97251840, -32018877719/72938880, 108756193291/291755520, 
  -34794377/651240, 55293499/506520, 35781264349/72938880, -37485901/1519560, 
  8298799787/72938880, -38244712207/145877760, 221700341/3241728, 
  -2697528899/20839680, -685012907/16208640, 26899471/1302480, 
  -13530296609/72938880, 73/120, -2595200875/58351104, 3329984869/14587776, 
  257426773/10805760, 340681993/2026080, 2597395817/14587776, 
  -6793218107/72938880, -220991669/1013040, -36532306121/145877760, 
  -5150233951/12156480, -1474595953/29175552, 83406095009/145877760, 
  1029307271/4862592, -5603/120, 829074599/6078240, 14705905357/72938880, 
  2706460579/18234720, 8033139643/12156480, -1761775453/6483456, 181/30, 
  -258254657/1013040, -96735242/189945, 291/10, -8451000787/36469440, 
  -2492130037/29175552, -31332051829/97251840, 191415553/868320, 
  -71815823/3241728, -112440757/4558680, -125357363/10419840, 
  -19666537/173664, 4759785197/41679360, -86812146433/291755520, 
  -17003362673/145877760, 771167431/18234720, 53851583/675360, 
  17768336939/97251840, -47406851/3039120, 173770973/1013040, 
  7072353329/24312960, 24437911999/97251840, -1690107845/9725184, 933/160, 
  5/4, 1, 5/4, -3/4, -11/4, 1/4, -5/4, -5/4, 1, -1/4, 1/4, 1/4, -1/4, 1, 1/4, 
  1/2, 1/4, 1, 1/2, 1, 1, 3/4, 5/4, 5/4, -3/4, -17/4, 1/4, -3/4, -5/4, 2, 
  -9/4, 1/4, 1, 9/4, -1, -2, -1/2, -2, -2, 2, 2, -2, 1, -3/2, -1/2, 2, -1, 
  -1, 1, 7/3, 8/3, -2, -8/3, -7/3, -5/3, -1/3, 19/6, 8/3, 1/2, 2/3, 1/2, 3/2, 
  2/3, 8/3, -1, -7/6, -1/2, -2, -1, 2, 1, -2, 5/3, 2/3, -5/3, -1/2, 1/4, 1/2, 
  1/4, -3/4, -1, -1/2, 1/2, -1, 1/2, 3/2, -2, 3/2, 1/2, -3281/240, 
  1976143229/36469440, 1271227589/29175552, -193/120, 2476159/103680, 
  -734523113/20839680, -5502969545/29175552, 33769/2592, -257426773/10805760, 
  67/60, -58869887/434160, 283/60, 496075733/7293888, 89547946981/145877760, 
  -116358270571/291755520, 291/20, -1057/120, -852305603/3039120, 
  -8618257/126630, 44803548539/145877760, 5156312191/12156480, 1, 
  1474595953/29175552, -11569639/1302480, -67196431693/145877760, 
  -228183797/3241728, 171460241/1519560, 31652513/540288, 
  -1029307271/4862592, -1214137873/16208640, 1/2, 1/2, -3/2, 1, 1/2, -1/2, 
  1/2, 1, -1/2, 1, -1, 1/2, -2, -1/2, -10/3, -8/3, 2, 8/3, 1/2, -1, -2/3, 
  -1/16, 41/16, -1, 3, 1/2, -17/6, 3/4, -3/4, 11087/360, 
  17514220159/72938880, -17203765939/32417280, 1300618859/6078240, 
  5255045767/58351104, -1/2, 1/2, -5/4, -7/4, 1/2, -6, -4, 4, 1/6, 1, -1/6, 
  3/2, 5/4, 1/4, -1, 2, -9/2, -5/4, 5/6, -1573219213/16208640, 
  17088884009/145877760, 30443771/1800960, -22321877687/145877760, 
  -1882012603/20839680, -3, -21/4, -7/4, 5/2, 3/2, 7/3, 29/6, 1/6, -29/6, 2, 
  -1/3, 23/6, -23/6, -3/4, 3/4, 7/12, 17/4, -29/4, 13/4, 3, -7/4, -13/4, 
  295/64, -295/64, 9/64, 3/4, 7/64, -3/4, 15/4, -15/4, 1, -1, 4, -5/12, 3/4, 
  8/3, -1/2, 3/2, 1/2, 10/3, -11/96, -1/2, 11/32, -75/32, -11/32, 
  4068315673/6078240, 5342563883/6078240, -133596804461/145877760, 
  -2075154299/1519560, -1232240071/5402880, -1/4, -1/4, -2, -11/4, -3/4, 2, 
  533044733/1013040, 3894143839/6078240, 44470510621/48625920, 
  -1533459691/1013040, -132220188721/145877760, -4462949/12960, 
  -2863929403/3473280, 18487164401/72938880, 591083117/1013040, 
  22008947593/48625920, -3656666869/6078240, -1728107627/2026080, 
  1057371211/4558680, 813521309/607824, 956225039/1736640, -34000327/90720, 
  -13234734671/145877760, -13062616279/18234720, 1554165103/2026080, 
  6636563867/24312960, -4, 4, -2, -9/2, 1/2, -6, -6, -1, 2, 7/6, -1/2, -1/6, 
  17/6, 1, 13/4, 43/24, -1/4, 7/4, 1, 5/4, -1, 2, 1/2, -1/2, -1/4, -5/4, 
  5/24, -1/4, -7/4, -61/24, -1, 1/4, 61/24, -1, 13/24, 1/4, 1, -9/4, 3/2, 
  3/4, -3/4, 1, -4, -1/4, 1, 5/4, -1, 1/2, 1, 5/4, -1, 3/4, 1/2, 2, 2, -7/4, 
  -4/3, 1/2, -1/2, -1/4, 1/2, -1/4, -1/2, 1/4, -1/6, 1/3, -2, -1/3, 3/4, 
  -126362701541/145877760, -6561620083/4862592, 23070601/27216, 
  117658670891/72938880, 19530737333/48625920, 4368676877/29175552, 
  650849/25920, -34114284313/48625920, -23708873/18144, -3712216297/8104320, 
  9546061433/36469440, 1866443/12096, -1159338853/7293888, 
  -17708752939/36469440, -7329989/40320, 1426766489/6078240, 
  33642719021/36469440, -24717392213/36469440, -5209201/6480, 
  -37322355089/72938880, 32203719691/72938880, -10644937511/29175552, 
  -539388167/16208640, -1100390633/20839680, 3865657975/7293888, 1/2, -5/4, 
  -11/4, -1/4, 7/4, -1, -3/4, 13/4, 3/4, -7/4, -1, -4, -5/2, -35/4, 51/4, 
  41/4, -7/4, 1, 3/2, 13/4, 1/4, -8, -21/4, -41/4, 5/2, -12, -8, 10/3, 8, 
  4/3, -1, 35/4, -45/4, -27/4, 7/4, -1, 2, -19/4, -1/4, 8, 9/4, 37/4, -5/2, 
  12, -4/3, -2, -10/3, 10/3, 146/3, -145/3, -149/3, 22, 5/3, -19, -22, 3, 
  11/6, 23/6, -23/6, 7/3, -3/16, -53/16, -227/48, 1/2, -1/2, -1/4, 3/2, 3/2, 
  3/2, 5/2, -3, -2, 1/2, -1/2, 31/32, 73/32, -3/2, 5/32, -365/64, -1/4, -5/4, 
  -3/4, 9/2, 5/4, 3/4, -1/3, -2, 113/192, -1/32, -113/192, -1, -3/2, 1, 3/4, 
  -1/2, -1/2, 1, 3/2, -1, -3666898573/12156480, -973543751/2701440, 
  21844260041/72938880, -1773864857/1823472, -70442408389/291755520, 
  4253575363/6078240, -1123663969/12156480, 23322275065/29175552, -8519/120, 
  90728997637/145877760, 800255873/145877760, 9525573493/24312960, 
  -7405257557/24312960, 537813139/16208640, -1, 1/2, -3/4, -1, -3, -25/4, 
  25/4, -1, -2, -1/4, -5/3, -1/12, -3/4, -11/24, -1/4, 7/4, 7/2, 3/4, 3/4, 
  1/4, -1, 1/2, 1/4, -1/2, -1/2, 1/2, 1, 1, 3, -2, -1, 1/2, -3/2, -1/2, -3/2, 
  1, 5/2, 2/3, 8/3, -1/2, -2, -11/6, 3, 3743287123/72938880, 
  4679387051/24312960, -2869931/12960, 53401914451/291755520, 
  2748241787/145877760, -25375512703/145877760, -51522851/1215648, 
  62421749/90720, -234606220949/145877760, -122753/405, 
  36333056101/145877760, 9246057473/20839680, -176902907039/291755520, 
  -77279630569/72938880, -1346642807/9117360, 1/2, -5/2, -1, -5/2, 1, 1/2, 
  -1, -9/2, -1/2, 29/6, -5, -11/6, 15/2, -17/3, -3/2, 5, -31/6, -11/6, -1, 
  11/6, 10/3, -1, -13/3, 1, -1/3, 3, 1/3, -27, 35, 95/3, -33/32, -247/64, 
  175/96, 33/16, 31/16, -47/48, -15/32, 2, 311/64, -109/32, -17/4, -1, 13/4, 
  7/2, -1, -95/192, -1, -697/192, 383/192, 1, -331/64, 15/4, 443/64, -41/4, 
  3/4, 13/24, -15/4, -235/64, 457/192, -3/4, -1, -25/24, -7/4, 1, -3/2, -1, 
  1, 1, 7/6, -1, -1, 58212183763/72938880, -72326995399/72938880, 
  -651232807/5402880, -58159575289/72938880, 2000004509/3646944, -3, -4, 
  -5/2, -5, 3, -7/3, 7/2, 5, -79/2, -55/6, 41, 79/2, -4, 193/24, -23/4, 13/2, 
  29/4, 1/4, -7/2, 97/24, -31/4, -43/24, -9/4, 25, -27/2, -229/6, -26, 2}}
