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  -1, -1, 1, 1, 1, 1/2, 1/2, -2, -1, -1, -1, 1/2, 1, 1/2, 5/2, -3, -1/2, 
  -1/2, 2, 2, -1, -5/2, -3/2, -3, 1, 1, 1, 3/2, -1/2, 1/2, -1/2, -1, 1/2, -1, 
  1, 1/2, 1, 1/2, 3/2, -1, 1/2, -1/2, -1/2, 3/2, 1, -1, -3/2, 2, 2, -3/2, 
  1/2, -3, 3/2, 1/2, -3, -1, 1, 3, -1/2, 3, 2, -3/2, -3/2, -1/2, -1/2, -1, 
  -1/2, 1/2, -1/2, 1/2, -9/4, -1/4, -5/4, -1/2, 5/2, 3/4, -1/4, -1/4, 1/4, 
  1/2, -1/2, 1, 1/2, 1, 1/4, -1/4, 1/4, 1/2, -1/2, 1, 2, 3/2, 7/4, -1/2, 1/4, 
  3/4, 1, -1/2, 5/2, -1/2, -5/4, -1, -1/4, 1/2, 2, 3, 2, 1, 2, 1, -2, 1, -2, 
  -1, -1, -1, 7/2, -4, 2, 1/2, -3, -7/2, -2, -1, 2, -1, 2, 1, -1, 6, 2, 1, 1, 
  -3, 2, -1, 1, 2, 1, -3, -2, 2, 1, -2, 1, -1, 31, 5, 2, -13, -12, 1, 109/6, 
  -34, -53/6, 5, 2, -1, -115/6, -151/6, -1, 113/3, 27/2, -151/6, -4, -3, 2, 
  -2, 2, -1, -3/2, -1/2, 77/6, 77/6, -89/6, -18, -1, -9, 2, 1, 17, 23/2, 
  -47/6, -137/6, -119/6, 1, 4, 1, -3, -7/2, -4, 7/2, 7/2, -7, 3, -23/4, 1, 
  -4, -1, 7/2, 4, -4, -11, 7/2, 25/4, -1, 5/2, -10, 15/2, 4, -4, -43/3, 
  733/36, -5/4, -307/36, -4, -389/36, 389/36, 389/36, -245/36, 1, -2, 1, -2, 
  2, 1, 4, -6, -4, 4, -11, -45/2, -9/4, -25/2, -1, 4, -5, 2, -4, -1, 5/2, 2, 
  4, -11, -5/2, -5/2, -22, -5/2, -2, -9/4, -12, 2, 1, 4, -11, -2, -2, -43/2, 
  -2, -1, -9/4, -23/2, -77/2, -98, 107/2, 110, -3, 235/2, 96, -127, -79, -34, 
  29, 32, 181/3, 107, -1, -259/3, 116/3, -91, 2/3, -83/6, 121/6, -39, 71/6, 
  10, -59, -2, 107/3, 10, -214/3, -12, 14, -8, 97, 167/2, -77/2, 172/3, 108, 
  12, 92/3, -12, 2, -101/2, -287/6, -172/3, -559/6, 469/6, -65/6, 173/12, 
  -12, -185/6, 10, 209/12, 3/2, 9/2, -47/12, -2, 4, -137/12, 20, 209/12, -2, 
  -9/2, 65/12, 16, -125/4, -11/2, 95/4, -8, -1, 8, 11/2, -15/2, 20, -8, -20, 
  7, 20, -101/6, -4, 77/6, 101/6, -89/6, -1, 1, -1, 149/12, -4, -89/12, 7/2, 
  -11/2, 19/12, 7, 5, -14, 1, -2, 27/2, -89/12, -3, 17, -125/12, -179/12, 
  3/2, 1, -1/2, -1, 1/2, 193/8, -1, -4591/408, -6605/1224, -79/8, 23969/1224, 
  -293/72, 39139/1224, 353/36, -425/144, 59623/2448, -389/36, 3, 103/6, 31/6, 
  -7, -74/3, -19/6, 1, 15/2, -2, 3/2, -98/3, -139/3, -1/2, 53/12, -3/2, -3/4, 
  -9/2, -1/4, -2, 5, 1/2, 5, 3/2, 2, 1/2, -4, -9/2, -1/2, -1/2, -11/3, 
  -229/48, 271/48, -17/4, -27/4, -17/3, -39/2, -31/12, 1, -715/48, 7/24, 
  45/16, -5, 5, 5/2, -5/2, 7/6, -11/6, 2/3, -41/6, -5024/153, -8875/306, 
  8875/306, 3259/816, 1/4, -1, 7/2, -1/2, -10943/306, 2084/51, 10453/2448, 
  377/48, -56825/2448, 8417/816, -377/48, 521/153, -2693/612, 739/34, 
  36365/1224, -33917/1224, -2, 1/2, -1/2, -1/2, 193/8, -1431/68, -143/36, 
  1/2, 1, 9557/1224, -7/2, 1/2, -499/36, 23275/1224, 215/36, 281/144, 
  -7415/1224, 277/36, -353/144, -5/4, 1/2, -313/16, -3/4, 35/24, -1/2, -3, 
  7/4, 9/8, 169/48, 37/8, -27/2, -7/2, -79/24, 16, 11/4, -1, 241/16, 173/48, 
  -14, -8, -241/12, 59/4, -3/2, 4, 1, -1/4, 1, 1, -1/48, 3/2, -7/4, 13/24, 
  -1/2, -3/2, 11/4, 5/4, 93/16, -367/16, 121/24, -27/4, 15/4, 101/48, 8, 1/4, 
  -1, -83/48, 5/4, 65/48, -43/4, 1/2, -493/48, 19/2, -3/2, -1, -1/2, 7/2, 
  5/4, -25/24, -175/16, 1/4, 49/8, -1/2, 4, 15/4, -3/2, -307/48, 59/24, 8, 
  1/2, -13/2, -11/4, -89/24, 139/16, 173/48, -3, 17/2, -329/24, 15/4, 3, 3/2, 
  4, -4, 1/2, -3/2, 3, -1, 11/3, 3, -1/2, -7, -49/6, -3, 1, 1, 4, -1/2, 5/2, 
  -1/2, -3/2, -71/24, 4, 7/2, 11/2, -5/24, 16, -1, -11/2, -101/24, 11, 3, 1, 
  -2, -5/8, -3/2, 11/8, -1/2, 2, 11/3, 40, -111/2, -1/6, -2, -3, -59/12, 15, 
  -8/3, 143/12, 3, -9, 7/2, 34/3, 815/24, -47/8, -329/12, -67/4, -4, 
  -2041/24, 59/12, -311/24, 221/24, 275/24, 3/4, -93/4, 35/2, 4, 1, 3/4, 
  -77/12, 31, -109/4, -1, -3, 20/3, 3/2, 7/12, 373/12, -323/12, 211/6, 
  287/12, 13/4, -19/4, 19/2, 124/3, -1, -3, -3, 127/6, -137/12, -389/24, 
  -179/12, 79/8, -21/4, 311/12, 1121/24, 305/24, -115/24, -269/24, -9/2, 
  -137/8, 15/2, -3/8, 9, 111/8, 15, 15/2, -221/6, -9, 7/2, -9, -127/24, 3, 
  319/24, -3, 139/24, -5, -187/24, -1085/24, 113/8, -65/8, 29/24, -337/24, 
  -191/8, -2, 1/4, 3/2, -1/2, -1/2, 3/2, -7/6, -5, 11/16, 2, 145/24, -3/4, 
  5/4, -3/2, -3/4, 1/4, 1/2, -1, 5/2, 41/3, -9, -125/12, 3/2, 3, -1/2, 
  -143/48, -7/16, -1/4, -3/16, 3/2, -2, 161/12, -19/2, -1/4, -20/3, 1/2, 3/2, 
  -1, 7/2, -5/2, 5/4, -17/6, 501/16, -303/16, -1/2, -3, -51/4, 161/8, 3/4, 
  1/4, -1/2, 1, 1, -3/2, 1/2, -9/2, -1, -1/2, 3, 5/4, -157/48, -17/4, -7/4, 
  -11/2, -43/6, -31/2, 37/3, -5/2, 337/48, 7/16, -115/16, 659/200, 613/816, 
  -1/4, 407/816, -1, 383/24, -2099/153, 23195/2448, -353/48, -641/68, 
  2585/816, 569/34, -1877/153, 371/36, -569/34, 3/2, -1/4, 25/12, 1/2, 1/4, 
  -5/2, -9/4, -1/2, 3/2, -1/2, -1/4, -1/4, -1/4, -23/48, 1/2, 3/2, 3/2, 17/4, 
  1/4, -9/16, 433/48, -1/4, 27/4, -21/4, -113/48, -8, 1/4, -11/4, -65/48, 
  19/4, 11/4, 51/16, -6, 3/2, -3/2, -1/2, -1/2, 3/2, 1/4, -7/8, 91/8, -9, -2, 
  -1, 2, -13/8, -7, 51/4, -3/2, 9/2, -2, 1/4, -31/24, -409/24, 1/2, 215/24, 
  65/12, -323/24, -167/24, -1/2, 5/2, -65/24, 3/4, -1/8, -1/4, -1/4, 1/2, 
  1/2, 1/2, -3/2, -5/4, -13/48, -2, -5, -5/4, 3/4, 3/4, -1, 51589/1377, 
  -13313/102, -802/17, 3, 2, -5, -49135/1224, 132233/3672, -7/6, -847/34, 
  11087/136, -1742497/22032, 34813/612, 1037347/22032, 58/3, -7/3, -1/2, 
  -142/3, -31, 56/3, 63/2, 80/3, 59/30, 151/10, 3/2, -6, -2, -3/2, 23/2, -2, 
  1, 4, -5, -2, 25/2, -865/16, 625/16, -55/2, 1009/16, 15, 3, -69/2, 2, 
  -5307/50, -3, 59/2, -81191/4100, 10, 49/2, -4, -947/40, -33/2, 2, 3/2, 
  39/2, -4, -137/41, -371/20, 15053/410, -104928/1025, -8557/150, 
  2552903/12300, 2169157/12300, -29/2, 4, 43/10, 7147/120, -119/10, -239/30, 
  13733/400, 34799/2400, -13201/2400, 161/6, -923/30, -87601/2400, -161/6, 
  -50239/2050, -55139/1800, 156287/6150, -297/10, -557/615, -2393/90, 
  2573/90, -69/82, -2411/180, 1822/123, 449/180, -6111/410, 6129499/73800, 
  -215089/7200, -309124/3075, -485129/12300, -1006/45, 1993/600, 30761/1440, 
  -194257/6150, -161/60, 269331/4100, 281/60, -431779/12300, -869/410, 
  -771/410, 293/30, 103/40, 2, -3391/120, 6377/120, -1493/60, -67/24, 
  -233/60, 21532/1025, 3181/75, -7167/205, -25963/600, -358213/24600, 
  118817/6150, -2, -105251/3075, 87/5, 2297/200, 83/6, -95/82, 32/15, 
  -4816/615, -47/15, 11057/1230, 23281/1230, -4, -24511/1230, 7/2, 347/10, 
  -98/5, 10, -2, -25/8, 104/51, -2213/102, 44849/1224, 287/1224, 2, 569/12, 
  427/9, -73819/612, -18935/153, 3892/51, 431/18, 4, -6, -431/18, 539/18, 
  386/9, -1, -133/12, 50375/1224, 4, -12781/136, -5, -386/9, 2, -19063/432, 
  440/9, -1, -6731/68, -9833/102, -4, 10, 10853/102, -10, -49/9, -30961/306, 
  -5, -13103/1224, 13, -2, 11107/102, 15829/153, -43/2, 49/9, 117025/648, 
  -5563/1224, -41957/306, -874829/11016, -1, 3, -1/2, 1/2, -9/4, 326/9, 
  -557/18, 163/36, -75071/1224, -990535/7344, 18601/204, 540565/22032, 
  -242627/5508, 793/6, -31901/136, -41767/1224, 25433/408, -1583/1224, 
  42991/1224, 13859/1224, -14155/204, -1001047/22032, 3003367/22032, 
  -2915/204, 2489/408, -56903/1224, -1, 542/9, 55679/1224, -1459/68, 
  1181/102, 14759/204, 925/612, -5267/153, -96931/1224, -956621/7344, -8, 
  -672463/7344, 10, -2, 1033/6, -99701/1224, 10823/136, 461173/2754, 
  9401/324, -105295/1224, 67/3, 4, 10615/153, -6, -187753/3672, 1/6, 
  -21815/153, 6, 90607/612, -1/6, -355889/3672, 6977/153, 2, 1193/306, 
  -49127/1836, -410459/22032, -235/6, -2773/612, -1367/153, -1, 
  -1559017/22032, 23689/612, 2, -32201/612, -25843/612, 41953/612, 280/3, 
  -28829/612, 2, -13, -5, -4, 9, 2, 35/6, 1735/204, -44/9, -12, 611255/22032, 
  10241/306, -939779/22032, -201/4, -9/2, -129/8, -19/4, -1, 19/2, 3, -19/3, 
  23/2, 18, -129/4, -20/3, 133/12, -8/3, 7, 11/6, -101/6, -165/4, -25/3, 
  -227/6, 135/2, -27/2, 7/4, -217/24, -5, 7/4, 1, -137/8, -1115/24, 1, -35/3, 
  -52/3, 1697/8, 141, 55/6, -787/4, 1139/24, 1, -233/3, -1187/24, -1, 1, 
  859/12, 525/4, 154/3, -55/3, 39/4, -713/4, -299/6, -23/4, -1283/24, -529/4, 
  151/6, 1445/24, 1, 5, 1745/144, 731/16, -11, 475/18, 1, 505/48, 685/24, 
  257/18, 205/48, -737/144, -49/16, -245/12, 3137/144, -16, -155/48, 29/3, 
  -11/2, 8, 209/12, 45/4, 13/2, -121/8, 56/3, 25/6, 77/12, 173/48, 11, -3, 
  -121/4, -35/3, 18, -113/4, -5, 137/4, -4/3, 14, -2, -211/12, -385/12, 1, 
  -1, -39/2, -3, -7/3, 179/6, 185/6, -43/4, -10/3, 67/12, 15/2, -52/3, 
  -199/6, -161/12, 25/3, -5, -8/3, -118/3, 14, -24, 47/6, 47/3, 193/12, 
  139/6, -37/3, 89/6, 335/12, 389/12, 29/2, -5/4, -1, 5/4, 1, -9/4, -7/4, 1, 
  -10, 43/4, 9/4, -17/4, 67/4, 6, 1/2, 107/16, -1, -1/2, 33/8, 1, -173/16, 
  -1/2, -119/8, 1, -21/8, 131/16, 455/36, -2003/108, -219698441/616896, 
  82582813/308448, 379/18, 1, 187/6, -19/4, -157189273/411264, 1013/216, 
  215558153/1233792, 29/6, -1963/63, 8597/168, -4/9, -215/42, -12, 
  -71272541/1233792, 2761529/25704, -236888875/411264, 413/12, -175/2, -18, 
  19605/136, 123553/3672, -417301/1224, -437/12, 375/4, -28, 151/3, -1813/24, 
  -209/12, -170653/1224, 661321/11016, 756979/11016, 321665/1836, 289/12, 
  111, -71, -35, 3, -201/2, -96, -18, 42, 545/12, -469601/3672, -113995/408, 
  -1385/12, -112, 289/12, -689/12, -705/4, 2, 60, 119/12, 48337/612, 
  -2843693/11016, -237124/1377, -59471/612, 37258/459, -307/4, 28, 1597/24, 
  -2, -203/12, -4, 35/12, 7/2, 60107/612, -1090945/11016, -667015/11016, 
  -3/4, -713557/3672, -63, -75, 2, 233/2, 231/2, -76, 229/2, -77/2, 2, -4, 
  71/2, 76, 3, -6, -7/2, 1, 1, 8, -4, -7, -5, 5, 10/3, -10/3, 9/4, 5/4, -2, 
  -294/41, 3397/120, -3, 11363/820, -229/8, 5/2, -103903/2050, -10807/300, 1, 
  613907/6150, 3527/1200, -3017/3280, 3213043/24600, 7207/300, 
  -2626919/24600, -1996957/24600, -25/4, 2, 3931/240, -5/2, 12037/600, 
  11587/240, -1, 207/40, -9847/240, 3, -3/2, -1315/72, 99/8, 556/45, -3, 1, 
  -1405/72, -553/36, -78799/3600, 227/9, -1, 3, 56/9, -161/18, 1259/900, 
  -4039/150, 341/24, -282271/7200, -307/72, -1/4, 2159/240, -34037/1230, 
  -883/80, 53197/1230, 73/24, -3955/246, 89267/6150, -529/60, -1300177/49200, 
  649/60, 194383/24600, 7879/2460, -12799/2460, 5623/240, -2047/150, 457/400, 
  1991/240, -323/40, -1, -1/2, -55/12, 7396/153, 1405/1224, -100259/3672, 
  5/4, 1094/51, -1, 4, -2211/34, 1/2, -40601/2448, -339/17, 15/2, 1/2, 19/12, 
  -116053/1296, -2561/1224, 261611/22032, -36443/2448, -3, 17777/408, -122/9, 
  17/4, 3, 1051085/22032, 12571/2448, -21/2, -13/2, 1/2, 1, -1/4, -1/2, -3/2, 
  -299/12, 3/2, 1/8, -1/4, -665/36, -52/9, -1/4, 3395/72, -23/16, 647/72, 
  1331/144, -1249/72, -151/48, -1813/816, 3/4, 5972/153, 64643/2754, -1, 
  -293615/5508, 1/2, 1/2, -33/8, 1, -3073/72, 5671/306, 1499/816, 353/16, 
  53071/1224, -8357/272, -6809/306, -75247/2448, 14555/612, 533/612, 
  -2615/72, 127763/2448, -1145/612, -2, -55253/2448, -21/4, 112273/7344, 5, 
  -1/2, 133/8, -8809/408, 124691/2448, -1/4, -4387/144, -17715/272, 
  1008331/22032, -313/24, 132047/2448, -121597/2448, 385/16, -891439/22032, 
  -79193/2448, -371/36, 3/4, -2, -70709/1836, 7/8, -35/108, 157/12, 239/8, 
  3/2, -1/4, -3101/144, 311/12, 1/4, 515/24, 5/2, 2, -1973/24, -49/4, -95/48, 
  1073/48, -407/24, 25/4, 11/4, 371/48, -8, -67/12, -71/6, -253/48, 335/6, 
  381/16, 161/8, -1211/24, 1151/16, -277/24, -211/24, -317/24, 247/24, 
  -37/16, -49/6, 3/4, -41/8, -21/2, 9/4, -35/3, 1/2, -1/2, 31/6, 239/24, 
  17/2, 2, -3, -63/16, 9/16, -1/4, 47/4, 469/24, -199/16, 841/48, 181/12, 
  -1487/48, -4, -67/48, -11/4, 799/48, 647/48, 3/2, 1/2, -5/4, 1/2, 19/4, 
  1/4, -73/48, -1/2, -1/3, 49/48, -1/2, 15/16, 5/4, 25/16, -1/2, -79/12, 
  -53/48, -35/48, 157/48, -15/16, 3/2, -7/48, 7/16, -3/2, -13/6, 3, 13/4, 
  100/9, 1370/63, -45/8, -1121/84, -3225/112, 11957/672, 2, -23/18, -11/4, 
  557/36, 317/14, 867/112, -23/4, 23/2, -829/108, 5/2, 7/3, 
  -168720169/822528, 197281013/616896, -547/432, -91340105/1233792, 4453/432, 
  210520169/2467584, -10001071/17136, 221900417/1233792, -70674805/616896, 
  -65/8, 85/8, 31, 167/4, 55/8, -159, 21/8, 2365/24, 7/2, -175/8, -15, 
  -1559/24, 94/3, 1801/24, -4, 9, 211/24, 18083/1224, -1895723/11016, 
  -1591181/11016, 2312843/22032, 1278719/22032, -37393/1224, 677/24, 
  -27359/612, 41/8, -85399/3672, 921709/7344, 287/16, -14/3, -979/24, 63/2, 
  43/6, 787/24, 4, 119/24, -231/4, 11/6, -163/6, -3, 1/2, 5/2, -265/24, 11/3, 
  211/24, -6, -205/24, -2, 213/8, -349/24, -37/8, -1243/24, 255/8, -301/24, 
  -877/24, 1/12, -2/3, -1/3, -1/3, -3, -7/6, -1/6, 1/2, 6, 3/2, 17/6, 
  199931/4100, 693829/20400, -1, -237383231/1254600, -95278529/550800, 
  814568869/3763800, -116107/2050, -10219/2040, 386064017/2509200, 
  -10339/2460, -50801/4080, -371/12, 36112357/275400, -37067/4080, 353/48, 
  29232/1025, -456209/3600, 3/2, 7775/164, -10261/1200, 484/15, 
  -2586779/24600, -16313/120, 2176787/49200, 1983611/24600, 45259/720, -2, 
  -3434/75, -42379/720, -3/2, -47682/1025, 98483/1200, -7/2, 6222617/49200, 
  -26521/400, -1334567/16400, 63043/24600, -6757/300, 157933/12300, 
  556319/8200, -997/48, 4, 75443/600, 23267/240, 3/2, 1204453/24600, 
  -12559/720, -4699591/24600, -11273/720, 4138223/24600, -3975499/73800, 
  128689/7200, 1270373/16400, 515879/12300, 16849/720, -5725049/367200, 
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