/*
L3(8) as pernutations of a set of cardinality 98112.
*/

G<x,y>:=PermutationGroup<98112|
(1, 2)(3, 5)(4, 7)(6, 10)(8, 12)(9, 13)(11, 16)(14, 20)(15, 21)(17, 24)(18, 
    25)(19, 27)(22, 31)(23, 32)(26, 36)(28, 37)(29, 38)(30, 40)(33, 44)(34, 
    45)(35, 47)(39, 52)(41, 54)(42, 55)(43, 57)(46, 61)(48, 63)(49, 64)(50, 
    66)(51, 68)(53, 71)(56, 75)(58, 77)(59, 78)(60, 80)(62, 83)(65, 87)(67, 
    89)(69, 91)(70, 92)(72, 95)(73, 96)(74, 98)(76, 101)(79, 105)(81, 107)(82, 
    108)(84, 111)(85, 112)(86, 114)(88, 117)(90, 120)(93, 124)(94, 125)(97, 
    129)(99, 131)(100, 132)(102, 135)(103, 136)(104, 138)(106, 141)(109, 
    145)(110, 146)(113, 150)(115, 152)(116, 153)(118, 156)(119, 157)(121, 
    160)(122, 161)(123, 163)(126, 167)(127, 168)(128, 170)(130, 173)(133, 
    177)(134, 178)(137, 182)(139, 184)(140, 185)(142, 188)(143, 189)(144, 
    191)(147, 195)(148, 196)(149, 198)(151, 201)(154, 205)(155, 206)(158, 
    210)(159, 211)(162, 215)(164, 217)(165, 218)(166, 220)(169, 224)(171, 
    226)(172, 227)(174, 230)(175, 231)(176, 233)(179, 237)(180, 238)(181, 
    240)(183, 243)(186, 247)(187, 248)(190, 252)(192, 254)(193, 255)(194, 
    257)(197, 261)(199, 263)(200, 264)(202, 267)(203, 268)(204, 270)(207, 
    274)(208, 275)(209, 277)(212, 281)(213, 282)(214, 284)(216, 287)(219, 
    291)(221, 293)(222, 294)(223, 296)(225, 299)(228, 303)(229, 304)(232, 
    308)(234, 310)(235, 311)(236, 313)(239, 317)(241, 319)(242, 320)(244, 
    323)(245, 324)(246, 326)(249, 330)(250, 331)(251, 333)(253, 336)(256, 
    340)(258, 342)(259, 343)(260, 345)(262, 348)(265, 352)(266, 353)(269, 
    357)(271, 359)(272, 360)(273, 362)(276, 366)(278, 368)(279, 369)(280, 
    371)(283, 375)(285, 377)(286, 378)(288, 381)(289, 382)(290, 384)(292, 
    387)(295, 391)(297, 393)(298, 394)(300, 397)(301, 398)(302, 400)(305, 
    404)(306, 405)(307, 407)(309, 410)(314, 415)(315, 416)(316, 418)(318, 
    421)(321, 425)(322, 426)(325, 430)(327, 432)(328, 433)(329, 435)(332, 
    439)(334, 441)(335, 442)(337, 445)(338, 446)(339, 448)(341, 451)(344, 
    455)(346, 457)(347, 458)(349, 461)(350, 462)(351, 464)(354, 468)(355, 
    469)(356, 471)(358, 474)(361, 478)(363, 480)(364, 481)(365, 483)(367, 
    486)(370, 490)(372, 492)(373, 493)(374, 495)(376, 498)(379, 502)(380, 
    503)(383, 507)(385, 509)(386, 510)(388, 513)(389, 514)(390, 516)(392, 
    519)(395, 523)(396, 524)(399, 528)(401, 530)(402, 531)(403, 533)(406, 
    537)(408, 539)(409, 540)(411, 543)(412, 544)(413, 546)(414, 548)(417, 
    552)(419, 554)(420, 555)(422, 558)(423, 559)(424, 561)(427, 565)(428, 
    566)(429, 568)(431, 571)(434, 575)(436, 577)(437, 578)(438, 580)(440, 
    583)(443, 587)(444, 588)(447, 592)(449, 594)(450, 595)(452, 598)(453, 
    599)(454, 601)(456, 604)(459, 608)(460, 609)(463, 613)(465, 615)(466, 
    616)(467, 618)(470, 622)(472, 624)(473, 625)(475, 628)(476, 629)(477, 
    631)(479, 634)(482, 638)(484, 640)(485, 641)(487, 644)(488, 645)(489, 
    647)(491, 650)(494, 654)(496, 656)(497, 657)(499, 660)(500, 585)(501, 
    662)(504, 666)(505, 667)(506, 669)(508, 672)(511, 676)(512, 677)(515, 
    681)(517, 683)(518, 684)(520, 687)(521, 688)(522, 690)(525, 694)(526, 
    695)(527, 697)(529, 700)(532, 704)(534, 706)(535, 707)(536, 709)(538, 
    712)(541, 716)(542, 717)(545, 721)(547, 723)(549, 725)(550, 726)(551, 
    728)(553, 731)(556, 735)(557, 736)(560, 740)(562, 742)(563, 743)(564, 
    745)(567, 749)(569, 751)(570, 752)(572, 755)(573, 756)(574, 758)(576, 
    761)(579, 765)(581, 767)(582, 768)(584, 771)(586, 773)(589, 777)(590, 
    778)(591, 780)(593, 783)(596, 787)(597, 788)(600, 792)(602, 794)(603, 
    795)(605, 798)(606, 799)(607, 801)(610, 805)(611, 806)(612, 808)(614, 
    811)(617, 815)(619, 817)(620, 818)(621, 820)(623, 823)(626, 827)(627, 
    828)(630, 832)(632, 834)(633, 835)(635, 838)(636, 839)(637, 841)(639, 
    844)(642, 848)(643, 849)(646, 853)(648, 855)(649, 856)(651, 859)(652, 
    860)(653, 862)(655, 865)(658, 869)(659, 870)(661, 873)(663, 875)(664, 
    876)(665, 878)(668, 882)(670, 884)(671, 885)(673, 888)(674, 889)(675, 
    891)(678, 895)(679, 896)(680, 898)(682, 901)(685, 905)(686, 906)(689, 
    910)(691, 912)(692, 913)(693, 915)(696, 919)(698, 809)(699, 921)(701, 
    924)(702, 925)(703, 927)(705, 930)(708, 934)(710, 936)(711, 937)(713, 
    940)(714, 846)(715, 942)(718, 946)(719, 947)(720, 949)(722, 952)(724, 
    955)(727, 959)(729, 961)(730, 962)(732, 965)(733, 966)(734, 968)(737, 
    972)(738, 973)(739, 975)(741, 978)(744, 982)(746, 984)(747, 985)(748, 
    987)(750, 990)(753, 994)(754, 995)(757, 999)(759, 1001)(760, 1002)(762, 
    1005)(763, 1006)(764, 1008)(766, 1011)(769, 1015)(770, 1016)(772, 1019)(774,
    1021)(775, 1022)(776, 1024)(779, 1028)(781, 1030)(782, 1031)(784, 1034)(785,
    1035)(786, 1037)(789, 1041)(790, 1042)(791, 1044)(793, 1047)(796, 1051)(797,
    1052)(800, 1056)(802, 1058)(803, 1059)(804, 1061)(807, 1065)(810, 1067)(812,
    1070)(813, 1071)(814, 1073)(816, 1076)(819, 1080)(821, 1082)(822, 1083)(824,
    1086)(825, 992)(826, 1088)(829, 1092)(830, 1093)(831, 1095)(833, 1098)(836, 
    1102)(837, 1103)(840, 1107)(842, 1109)(843, 1110)(845, 1113)(847, 1115)(850,
    1119)(851, 1120)(852, 1122)(854, 1124)(857, 1128)(858, 1129)(861, 1133)(863,
    1135)(864, 1136)(866, 1139)(867, 1140)(868, 1142)(871, 1146)(872, 1147)(874,
    1150)(877, 1154)(879, 1156)(880, 1157)(881, 1159)(883, 1162)(886, 1165)(887,
    1166)(890, 1170)(892, 1172)(893, 1173)(894, 1175)(897, 1179)(899, 1181)(900,
    1182)(902, 1185)(903, 1186)(904, 1188)(907, 1192)(908, 1193)(909, 1195)(911,
    1198)(914, 1202)(916, 1204)(917, 1205)(918, 1207)(920, 1210)(922, 1213)(923,
    1214)(926, 1218)(928, 1220)(929, 1221)(931, 1224)(932, 1225)(933, 1227)(935,
    1230)(938, 1234)(939, 1235)(941, 1238)(943, 1240)(944, 1241)(945, 1243)(948,
    1247)(950, 1249)(951, 1250)(953, 1253)(954, 1254)(956, 1257)(957, 1258)(958,
    1260)(960, 1263)(963, 1267)(964, 1268)(967, 1272)(969, 1274)(970, 1275)(971,
    1277)(974, 1281)(976, 1283)(977, 1284)(979, 1287)(980, 1288)(981, 1290)(983,
    1293)(986, 1297)(988, 1299)(989, 1300)(991, 1303)(993, 1305)(996, 1309)(997,
    1310)(998, 1312)(1000, 1315)(1003, 1319)(1004, 1320)(1007, 1324)(1009, 
    1326)(1010, 1327)(1012, 1330)(1013, 1331)(1014, 1333)(1017, 1337)(1018, 
    1338)(1020, 1341)(1023, 1345)(1025, 1347)(1026, 1348)(1027, 1350)(1029, 
    1353)(1032, 1357)(1033, 1358)(1036, 1362)(1038, 1364)(1039, 1365)(1040, 
    1367)(1043, 1371)(1045, 1373)(1046, 1374)(1048, 1377)(1049, 1378)(1050, 
    1380)(1053, 1384)(1054, 1385)(1055, 1387)(1057, 1390)(1060, 1394)(1062, 
    1396)(1063, 1397)(1064, 1399)(1066, 1402)(1068, 1405)(1069, 1406)(1072, 
    1410)(1074, 1412)(1075, 1413)(1077, 1416)(1078, 1417)(1079, 1419)(1081, 
    1421)(1084, 1425)(1085, 1426)(1087, 1429)(1089, 1431)(1090, 1432)(1091, 
    1434)(1094, 1438)(1096, 1440)(1097, 1441)(1099, 1444)(1100, 1445)(1101, 
    1447)(1104, 1451)(1105, 1452)(1106, 1454)(1108, 1457)(1111, 1461)(1112, 
    1462)(1114, 1465)(1116, 1467)(1117, 1468)(1118, 1470)(1121, 1474)(1123, 
    1476)(1125, 1479)(1126, 1480)(1127, 1482)(1130, 1486)(1131, 1487)(1132, 
    1489)(1134, 1492)(1137, 1496)(1138, 1497)(1141, 1501)(1143, 1503)(1144, 
    1504)(1145, 1506)(1148, 1510)(1149, 1511)(1151, 1514)(1152, 1515)(1153, 
    1517)(1155, 1520)(1158, 1524)(1160, 1526)(1161, 1527)(1163, 1530)(1164, 
    1531)(1167, 1535)(1168, 1536)(1169, 1538)(1171, 1541)(1174, 1545)(1176, 
    1547)(1177, 1548)(1178, 1550)(1180, 1553)(1183, 1557)(1184, 1558)(1187, 
    1392)(1189, 1563)(1190, 1564)(1191, 1566)(1194, 1570)(1196, 1572)(1197, 
    1573)(1199, 1576)(1200, 1577)(1201, 1579)(1203, 1582)(1206, 1586)(1208, 
    1588)(1209, 1589)(1211, 1592)(1212, 1593)(1215, 1597)(1216, 1598)(1217, 
    1600)(1219, 1603)(1222, 1607)(1223, 1608)(1226, 1612)(1228, 1614)(1229, 
    1615)(1231, 1618)(1232, 1619)(1233, 1621)(1236, 1625)(1237, 1626)(1239, 
    1629)(1242, 1633)(1244, 1635)(1245, 1636)(1246, 1638)(1248, 1641)(1251, 
    1645)(1252, 1646)(1255, 1649)(1256, 1650)(1259, 1654)(1261, 1656)(1262, 
    1657)(1264, 1660)(1265, 1661)(1266, 1663)(1269, 1667)(1270, 1668)(1271, 
    1670)(1273, 1673)(1276, 1677)(1278, 1679)(1279, 1680)(1280, 1682)(1282, 
    1685)(1285, 1689)(1286, 1690)(1289, 1694)(1291, 1696)(1292, 1697)(1294, 
    1700)(1295, 1701)(1296, 1703)(1298, 1706)(1301, 1710)(1302, 1711)(1304, 
    1714)(1306, 1716)(1307, 1717)(1308, 1719)(1311, 1723)(1313, 1725)(1314, 
    1726)(1316, 1729)(1317, 1730)(1318, 1732)(1321, 1736)(1322, 1737)(1323, 
    1739)(1325, 1741)(1328, 1745)(1329, 1746)(1332, 1750)(1334, 1752)(1335, 
    1753)(1336, 1755)(1339, 1759)(1340, 1760)(1342, 1763)(1343, 1764)(1344, 
    1766)(1346, 1769)(1349, 1773)(1351, 1775)(1352, 1776)(1354, 1779)(1355, 
    1687)(1356, 1781)(1359, 1785)(1360, 1786)(1361, 1788)(1363, 1791)(1366, 
    1795)(1368, 1797)(1369, 1798)(1370, 1800)(1372, 1803)(1375, 1807)(1376, 
    1808)(1379, 1812)(1381, 1814)(1382, 1815)(1383, 1817)(1386, 1821)(1388, 
    1823)(1389, 1824)(1391, 1827)(1393, 1829)(1395, 1832)(1398, 1836)(1400, 
    1838)(1401, 1839)(1403, 1842)(1404, 1843)(1407, 1847)(1408, 1848)(1409, 
    1850)(1411, 1853)(1415, 1857)(1418, 1861)(1420, 1863)(1422, 1865)(1423, 
    1866)(1424, 1868)(1427, 1872)(1428, 1873)(1430, 1876)(1433, 1880)(1435, 
    1882)(1436, 1883)(1437, 1885)(1439, 1888)(1442, 1892)(1443, 1893)(1446, 
    1897)(1448, 1899)(1449, 1900)(1450, 1902)(1453, 1906)(1455, 1908)(1456, 
    1909)(1458, 1912)(1459, 1913)(1460, 1915)(1463, 1919)(1464, 1920)(1466, 
    1923)(1469, 1927)(1471, 1929)(1472, 1930)(1473, 1932)(1475, 1935)(1477, 
    1938)(1478, 1939)(1481, 1943)(1483, 1945)(1484, 1946)(1485, 1948)(1488, 
    1952)(1490, 1954)(1491, 1955)(1493, 1958)(1494, 1959)(1495, 1961)(1498, 
    1965)(1499, 1966)(1500, 1968)(1502, 1971)(1505, 1975)(1507, 1977)(1508, 
    1978)(1509, 1980)(1512, 1984)(1513, 1985)(1516, 1989)(1518, 1991)(1519, 
    1992)(1521, 1995)(1522, 1996)(1523, 1998)(1525, 2001)(1528, 2005)(1529, 
    2006)(1532, 2010)(1533, 2011)(1534, 2013)(1537, 2017)(1539, 2019)(1540, 
    2020)(1542, 2023)(1543, 2024)(1544, 2026)(1546, 2029)(1549, 2033)(1551, 
    2035)(1552, 2036)(1554, 2039)(1555, 2040)(1556, 2042)(1559, 2046)(1560, 
    2047)(1561, 2049)(1562, 2051)(1565, 2055)(1567, 2057)(1568, 2058)(1569, 
    2060)(1571, 2063)(1574, 2067)(1575, 2068)(1578, 2072)(1580, 2074)(1581, 
    2075)(1583, 2078)(1584, 2079)(1585, 2081)(1587, 2084)(1590, 2088)(1591, 
    2089)(1594, 2093)(1595, 2094)(1596, 2096)(1599, 2100)(1601, 2102)(1602, 
    2103)(1604, 2106)(1605, 2107)(1606, 2109)(1609, 2113)(1610, 2114)(1611, 
    2116)(1613, 2119)(1616, 2123)(1617, 2018)(1620, 2127)(1622, 2129)(1623, 
    2130)(1624, 2132)(1627, 2136)(1628, 2137)(1630, 2140)(1631, 2141)(1632, 
    2143)(1634, 2146)(1637, 2150)(1639, 2152)(1640, 2153)(1642, 2156)(1643, 
    2065)(1644, 2158)(1647, 2162)(1648, 2164)(1651, 2168)(1652, 2169)(1653, 
    2171)(1655, 2174)(1658, 2178)(1659, 2179)(1662, 2183)(1664, 2185)(1665, 
    2186)(1666, 2188)(1669, 2192)(1671, 2194)(1672, 2195)(1674, 2198)(1675, 
    2199)(1676, 2201)(1678, 2204)(1681, 2208)(1683, 2210)(1684, 2211)(1686, 
    2214)(1688, 2216)(1691, 2220)(1692, 2221)(1693, 2223)(1695, 2226)(1698, 
    2230)(1699, 2231)(1702, 2235)(1704, 2237)(1705, 2238)(1707, 2241)(1708, 
    2242)(1709, 2244)(1712, 2248)(1713, 2249)(1715, 2252)(1718, 2256)(1720, 
    2258)(1721, 2259)(1722, 2261)(1724, 2264)(1727, 2268)(1728, 2269)(1731, 
    2273)(1733, 2275)(1734, 2276)(1735, 2278)(1738, 2282)(1740, 2284)(1742, 
    2286)(1743, 2287)(1744, 2289)(1747, 2293)(1748, 2294)(1749, 2296)(1751, 
    2299)(1754, 2303)(1756, 2305)(1757, 2306)(1758, 2308)(1761, 2312)(1762, 
    2313)(1765, 2317)(1767, 2319)(1768, 2320)(1770, 2323)(1771, 2324)(1772, 
    2326)(1774, 2329)(1777, 2333)(1778, 2334)(1780, 2337)(1782, 2339)(1783, 
    2340)(1784, 2342)(1787, 2346)(1789, 2348)(1790, 2349)(1792, 2352)(1793, 
    2353)(1794, 2355)(1796, 2358)(1799, 2362)(1801, 2364)(1802, 2365)(1804, 
    2368)(1805, 2369)(1806, 2371)(1809, 2375)(1810, 2376)(1811, 2378)(1813, 
    2381)(1816, 2385)(1818, 2387)(1819, 2388)(1820, 2390)(1822, 2393)(1825, 
    2397)(1826, 2398)(1828, 2401)(1830, 2403)(1831, 2404)(1833, 2407)(1834, 
    2408)(1835, 2410)(1837, 2413)(1840, 2417)(1841, 2418)(1844, 2422)(1845, 
    2423)(1846, 2425)(1849, 2429)(1851, 2431)(1852, 2432)(1854, 2435)(1855, 
    2436)(1856, 2438)(1858, 2441)(1859, 2442)(1860, 2444)(1862, 2447)(1864, 
    2450)(1867, 2454)(1869, 2456)(1870, 2457)(1871, 2459)(1874, 2463)(1875, 
    2464)(1877, 2467)(1878, 2468)(1879, 2470)(1881, 2473)(1884, 2477)(1886, 
    2479)(1887, 2480)(1889, 2483)(1890, 2395)(1891, 2485)(1894, 2488)(1895, 
    2489)(1896, 2491)(1898, 2494)(1901, 2498)(1903, 2500)(1904, 2501)(1905, 
    2503)(1907, 2506)(1910, 2510)(1911, 2511)(1914, 2515)(1916, 2517)(1917, 
    2518)(1918, 2520)(1921, 2524)(1922, 2525)(1924, 2528)(1925, 2529)(1926, 
    2531)(1928, 2534)(1931, 2538)(1933, 2540)(1934, 2541)(1936, 2544)(1937, 
    2545)(1940, 2549)(1941, 2550)(1942, 2552)(1944, 2555)(1947, 2559)(1949, 
    2561)(1950, 2562)(1951, 2564)(1953, 2567)(1956, 2571)(1957, 2572)(1960, 
    2576)(1962, 2578)(1963, 2579)(1964, 2581)(1967, 2585)(1969, 2587)(1970, 
    2588)(1972, 2591)(1973, 2592)(1974, 2594)(1976, 2597)(1979, 2601)(1981, 
    2603)(1982, 2604)(1983, 2606)(1986, 2610)(1987, 2611)(1988, 2613)(1990, 
    2616)(1993, 2620)(1994, 2621)(1997, 2625)(1999, 2627)(2000, 2628)(2002, 
    2631)(2003, 2632)(2004, 2634)(2007, 2638)(2008, 2639)(2009, 2641)(2012, 
    2645)(2014, 2647)(2015, 2648)(2016, 2650)(2021, 2656)(2022, 2657)(2025, 
    2661)(2027, 2663)(2028, 2664)(2030, 2667)(2031, 2668)(2032, 2670)(2034, 
    2673)(2037, 2677)(2038, 2678)(2041, 2682)(2043, 2684)(2044, 2685)(2045, 
    2687)(2048, 2691)(2050, 2693)(2052, 2695)(2053, 2696)(2054, 2698)(2056, 
    2701)(2059, 2705)(2061, 2707)(2062, 2708)(2064, 2711)(2066, 2713)(2069, 
    2717)(2070, 2718)(2071, 2720)(2073, 2723)(2076, 2727)(2077, 2728)(2080, 
    2732)(2082, 2734)(2083, 2735)(2085, 2738)(2086, 2739)(2087, 2741)(2090, 
    2745)(2091, 2746)(2092, 2748)(2095, 2752)(2097, 2754)(2098, 2755)(2099, 
    2757)(2101, 2760)(2104, 2764)(2105, 2765)(2108, 2769)(2110, 2771)(2111, 
    2772)(2112, 2774)(2115, 2778)(2117, 2780)(2118, 2781)(2120, 2784)(2121, 
    2785)(2122, 2787)(2124, 2790)(2125, 2791)(2126, 2793)(2128, 2796)(2131, 
    2800)(2133, 2802)(2134, 2803)(2135, 2805)(2138, 2809)(2139, 2810)(2142, 
    2814)(2144, 2816)(2145, 2817)(2147, 2820)(2148, 2821)(2149, 2823)(2151, 
    2826)(2154, 2830)(2155, 2831)(2157, 2834)(2159, 2836)(2160, 2837)(2161, 
    2839)(2163, 2842)(2165, 2844)(2166, 2845)(2167, 2847)(2170, 2851)(2172, 
    2853)(2173, 2854)(2175, 2857)(2176, 2858)(2177, 2860)(2180, 2864)(2181, 
    2865)(2182, 2867)(2184, 2870)(2187, 2874)(2189, 2876)(2190, 2877)(2191, 
    2879)(2193, 2882)(2196, 2886)(2197, 2887)(2200, 2891)(2202, 2893)(2203, 
    2894)(2205, 2897)(2206, 2898)(2207, 2900)(2209, 2903)(2212, 2907)(2213, 
    2908)(2215, 2911)(2217, 2913)(2218, 2914)(2219, 2916)(2222, 2920)(2224, 
    2922)(2225, 2923)(2227, 2926)(2228, 2927)(2229, 2929)(2232, 2933)(2233, 
    2934)(2234, 2936)(2236, 2939)(2239, 2943)(2240, 2944)(2243, 2948)(2245, 
    2950)(2246, 2951)(2247, 2953)(2250, 2957)(2251, 2958)(2253, 2961)(2254, 
    2962)(2255, 2964)(2257, 2967)(2260, 2971)(2262, 2973)(2263, 2974)(2265, 
    2977)(2266, 2884)(2267, 2979)(2270, 2983)(2271, 2984)(2272, 2986)(2274, 
    2989)(2277, 2993)(2279, 2995)(2280, 2996)(2281, 2998)(2283, 3001)(2285, 
    3004)(2288, 3008)(2290, 3010)(2291, 3011)(2292, 3013)(2295, 3017)(2297, 
    3019)(2298, 3020)(2300, 3023)(2301, 3024)(2302, 3026)(2304, 3029)(2307, 
    3033)(2309, 3035)(2310, 3036)(2311, 3038)(2314, 3042)(2315, 3043)(2318, 
    3047)(2321, 3051)(2322, 3052)(2325, 3056)(2327, 3058)(2328, 3059)(2330, 
    3062)(2331, 3063)(2332, 3064)(2335, 3068)(2336, 3069)(2338, 3072)(2341, 
    3076)(2343, 3078)(2344, 3079)(2345, 3081)(2347, 3084)(2350, 3088)(2351, 
    3089)(2354, 3093)(2356, 3095)(2357, 3096)(2359, 3099)(2360, 3100)(2361, 
    3102)(2363, 3105)(2366, 3109)(2367, 3110)(2370, 3114)(2372, 3116)(2373, 
    3117)(2374, 3119)(2377, 3123)(2379, 3125)(2380, 3126)(2382, 3129)(2383, 
    3130)(2384, 3132)(2386, 3135)(2389, 3139)(2391, 3141)(2392, 3142)(2394, 
    3145)(2396, 3147)(2399, 3151)(2400, 3152)(2402, 3155)(2405, 3159)(2406, 
    3160)(2409, 3164)(2411, 3166)(2412, 3167)(2414, 3170)(2415, 3171)(2416, 
    3173)(2419, 3177)(2420, 3178)(2421, 3180)(2424, 3184)(2426, 3186)(2427, 
    3187)(2428, 3189)(2430, 3192)(2433, 3196)(2434, 3197)(2437, 3201)(2439, 
    3203)(2440, 3204)(2443, 3208)(2445, 3210)(2446, 3211)(2448, 2942)(2449, 
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    97689)(93976, 95405, 97142)(93981, 96576, 94039)(93989, 95184, 97132)(93996,
    96327, 95048)(94004, 96585, 95737)(94005, 96586, 94188)(94014, 96589, 
    96061)(94018, 96590, 97693)(94027, 94709, 96919)(94029, 96018, 96237)(94031,
    96316, 97593)(94034, 96597, 96625)(94042, 96600, 97029)(94044, 96602, 
    96298)(94051, 94755, 96942)(94061, 96610, 97702)(94074, 96622, 96687)(94076,
    96624, 97708)(94081, 96363, 97612)(94091, 95562, 97219)(94093, 95260, 
    96762)(94097, 96636, 97714)(94100, 96637, 97340)(94105, 96640, 95909)(94107,
    96642, 97716)(94113, 95970, 97456)(94119, 96252, 97567)(94122, 96649, 
    95849)(94130, 96653, 97717)(94136, 96657, 97719)(94138, 96659, 97507)(94139,
    94976, 94316)(94148, 96664, 97723)(94151, 96665, 97439)(94160, 96667, 
    97724)(94162, 96669, 97725)(94169, 96673, 97588)(94174, 94404, 95804)(94176,
    96674, 97061)(94177, 95651, 97329)(94183, 96676, 97606)(94186, 96677, 
    97727)(94189, 96678, 96059)(94190, 96679, 97729)(94191, 96680, 97706)(94205,
    96686, 97732)(94208, 96690, 97734)(94214, 96696, 97442)(94231, 95864, 
    97419)(94236, 96704, 95159)(94245, 96710, 94478)(94246, 94965, 95911)(94259,
    95396, 96675)(94279, 95297, 97179)(94291, 96729, 97683)(94292, 96730, 
    96872)(94294, 94717, 95566)(94302, 96736, 97749)(94310, 96741, 95573)(94325,
    96752, 97755)(94327, 96755, 95336)(94330, 96756, 94712)(94342, 96763, 
    94381)(94344, 96764, 97760)(94345, 95485, 97262)(94347, 96765, 97054)(94349,
    96581, 95823)(94350, 95142, 96757)(94357, 96249, 97566)(94366, 96774, 
    97765)(94373, 96776, 97766)(94374, 96777, 97433)(94382, 96753, 97756)(94392,
    96779, 97769)(94402, 96781, 97770)(94407, 96783, 96513)(94415, 96286, 
    95802)(94417, 96787, 97639)(94419, 96789, 97663)(94423, 96791, 97718)(94428,
    96794, 97774)(94435, 96797, 97776)(94445, 96804, 97384)(94453, 96810, 
    97782)(94468, 96646, 96606)(94469, 96817, 97619)(94477, 96766, 97762)(94479,
    96822, 95117)(94481, 94975, 97048)(94484, 96375, 97616)(94488, 95317, 
    94655)(94490, 96828, 97787)(94491, 96829, 97687)(94504, 96833, 94879)(94515,
    96837, 97626)(94532, 96845, 97793)(94534, 96847, 97794)(94535, 96848, 
    97795)(94538, 96849, 97229)(94540, 96850, 95391)(94545, 96852, 95859)(94547,
    96853, 97796)(94553, 96854, 97499)(94561, 94706, 96917)(94564, 96860, 
    97799)(94575, 96865, 96786)(94607, 95112, 97097)(94608, 96036, 95207)(94610,
    95118, 94652)(94612, 95788, 97391)(94623, 96889, 97299)(94639, 96894, 
    97808)(94640, 96302, 97586)(94642, 96896, 97809)(94643, 95055, 95793)(94646,
    96799, 97778)(94658, 94952, 97035)(94673, 94972, 96966)(94676, 96907, 
    97813)(94685, 96910, 97263)(94688, 96912, 96748)(94692, 96795, 97775)(94696,
    95732, 97366)(94699, 96913, 97816)(94700, 96448, 96831)(94701, 96914, 
    97659)(94711, 96035, 96392)(94713, 95539, 96024)(94714, 96920, 97819)(94719,
    96923, 97821)(94727, 96927, 97823)(94739, 96932, 97350)(94742, 95828, 
    97203)(94743, 96934, 97826)(94746, 96815, 95582)(94748, 96937, 97712)(94751,
    96938, 96139)(94766, 96948, 97475)(94772, 96950, 97832)(94777, 96953, 
    97833)(94781, 96760, 96858)(94782, 96955, 97141)(94787, 96225, 95262)(94795,
    96960, 95286)(94797, 96721, 97745)(94805, 96965, 97837)(94808, 96423, 
    97631)(94810, 96968, 97839)(94812, 96969, 97840)(94822, 96129, 96003)(94825,
    96975, 97488)(94835, 96982, 97190)(94839, 96985, 95950)(94842, 96987, 
    97309)(94848, 96992, 97846)(94849, 96993, 97369)(94850, 96994, 95986)(94853,
    96916, 97817)(94860, 96999, 97847)(94862, 95932, 97284)(94868, 97003, 
    96743)(94871, 97004, 94918)(94877, 96921, 97820)(94886, 97012, 94969)(94892,
    97017, 95015)(94915, 97022, 97006)(94921, 95264, 97163)(94936, 97030, 
    97558)(94938, 96435, 97091)(94940, 95501, 96540)(94945, 97033, 97335)(94947,
    97034, 97831)(94954, 97036, 97637)(94958, 97038, 97858)(94959, 97039, 
    97851)(94962, 97042, 97861)(94974, 97047, 97865)(94977, 97049, 95885)(94983,
    97051, 97867)(95000, 97059, 96713)(95020, 96939, 97829)(95029, 97071, 
    96544)(95042, 97072, 97019)(95051, 97078, 95922)(95054, 95946, 97447)(95058,
    97079, 96893)(95060, 96951, 97825)(95063, 96508, 97613)(95072, 96393, 
    97623)(95091, 97089, 97876)(95100, 95541, 97286)(95102, 97093, 97346)(95107,
    96863, 95719)(95113, 97098, 95831)(95114, 95418, 97235)(95124, 97103, 
    96864)(95132, 95751, 97374)(95134, 97107, 95972)(95141, 96214, 97551)(95146,
    97111, 97882)(95151, 97113, 97529)(95153, 96424, 97632)(95155, 97114, 
    97884)(95161, 96571, 97688)(95162, 97120, 97408)(95169, 97124, 95620)(95170,
    97125, 97147)(95171, 97126, 97889)(95175, 97129, 96181)(95180, 95817, 
    95794)(95186, 97133, 97789)(95194, 97104, 95905)(95197, 97135, 97356)(95200,
    97137, 96718)(95202, 95711, 96629)(95205, 96866, 96259)(95211, 96936, 
    97827)(95212, 97138, 95505)(95213, 97139, 97893)(95226, 97146, 97011)(95228,
    95601, 97311)(95232, 97148, 97254)(95236, 97150, 97874)(95237, 97151, 
    96176)(95241, 96707, 96198)(95243, 97155, 97415)(95249, 97157, 97844)(95257,
    97160, 97900)(95258, 97161, 97699)(95261, 97162, 97901)(95282, 97169, 
    96089)(95288, 95450, 97249)(95292, 97175, 97906)(95304, 97182, 96537)(95308,
    97185, 96962)(95313, 97187, 96336)(95334, 97193, 96626)(95348, 97196, 
    96792)(95352, 96619, 97252)(95354, 97200, 97910)(95358, 97202, 97913)(95378,
    96097, 97502)(95389, 96260, 95598)(95395, 97225, 97918)(95397, 97226, 
    97919)(95404, 97228, 97064)(95407, 95887, 97426)(95419, 96453, 97643)(95430,
    97122, 97696)(95434, 97245, 97559)(95446, 96361, 97611)(95455, 97251, 
    97925)(95456, 95595, 97236)(95459, 97253, 95755)(95464, 95533, 96412)(95466,
    97256, 96303)(95472, 95657, 96197)(95480, 96878, 97802)(95483, 96532, 
    97672)(95487, 97264, 97810)(95507, 97273, 96172)(95523, 97278, 97741)(95524,
    97279, 97443)(95529, 96358, 97610)(95536, 95635, 97154)(95542, 96584, 
    96148)(95555, 97292, 97731)(95565, 97296, 97938)(95570, 97298, 97940)(95579,
    97301, 97941)(95590, 97307, 97747)(95592, 95807, 95640)(95596, 96790, 
    97773)(95605, 97313, 97694)(95609, 97314, 97943)(95619, 97316, 97944)(95621,
    95766, 97380)(95627, 97318, 96970)(95638, 97233, 96885)(95643, 97322, 
    97945)(95645, 97323, 97946)(95647, 97325, 97018)(95649, 97327, 96452)(95652,
    97330, 97123)(95654, 97332, 97848)(95661, 96526, 97667)(95664, 97336, 
    97681)(95670, 97339, 97622)(95682, 95769, 97181)(95685, 95704, 97354)(95692,
    96421, 96341)(95693, 97231, 96908)(95697, 96986, 96714)(95698, 96761, 
    97758)(95701, 97352, 97953)(95703, 97353, 97926)(95716, 97360, 97894)(95722,
    97362, 97771)(95725, 97364, 96620)(95730, 96510, 96186)(95731, 95765, 
    97379)(95757, 96301, 97430)(95776, 97383, 96902)(95782, 97386, 96723)(95784,
    97388, 97961)(95787, 97390, 97962)(95791, 97393, 96627)(95800, 97259, 
    96462)(95810, 97397, 96983)(95812, 96709, 97069)(95816, 97400, 97964)(95830,
    97404, 96611)(95840, 97407, 97896)(95865, 97420, 97634)(95868, 97213, 
    96596)(95869, 97422, 95891)(95871, 97363, 96244)(95873, 97424, 96125)(95874,
    96882, 96245)(95888, 97414, 96160)(95889, 97427, 97971)(95895, 96120, 
    95936)(95897, 97168, 96601)(95918, 97435, 97377)(95923, 97437, 97966)(95928,
    97440, 96489)(95944, 97065, 97871)(95948, 97448, 97975)(95963, 97453, 
    96583)(95966, 96577, 97679)(95974, 97460, 97241)(95980, 97463, 97398)(95984,
    97464, 97389)(95988, 97468, 97372)(95989, 97469, 97981)(95992, 96331, 
    96870)(95994, 96861, 97345)(96002, 97472, 97983)(96004, 97473, 97984)(96039,
    97481, 97172)(96044, 97483, 97886)(96060, 97490, 96995)(96071, 97454, 
    97075)(96074, 97492, 97438)(96078, 97494, 97303)(96079, 97495, 96379)(96105,
    97508, 97674)(96108, 97221, 97917)(96118, 97515, 96320)(96127, 97518, 
    97934)(96136, 97524, 97784)(96143, 96633, 97308)(96147, 97112, 97883)(96152,
    96466, 97647)(96154, 96876, 97458)(96158, 96219, 97555)(96159, 97530, 
    97842)(96170, 97084, 96294)(96175, 97536, 97465)(96184, 96630, 97242)(96191,
    97541, 97999)(96204, 97537, 96480)(96211, 97548, 97462)(96213, 97550, 
    97845)(96217, 97553, 98003)(96221, 97556, 97744)(96230, 97560, 96857)(96247,
    96360, 97569)(96254, 97568, 98006)(96272, 97575, 96407)(96275, 96458, 
    97645)(96279, 97578, 96715)(96281, 97580, 97763)(96284, 96705, 97655)(96295,
    96873, 97801)(96304, 97238, 97921)(96308, 97589, 98012)(96321, 97594, 
    97912)(96323, 97043, 97862)(96328, 97239, 97903)(96334, 97598, 98015)(96347,
    97501, 97988)(96350, 97009, 96672)(96367, 97614, 98017)(96380, 97617, 
    98019)(96388, 97621, 97998)(96395, 97625, 98021)(96398, 97062, 97870)(96399,
    97608, 97932)(96401, 97287, 97721)(96406, 97627, 97878)(96409, 97628, 
    98022)(96433, 97635, 97405)(96446, 96565, 96524)(96456, 97644, 97908)(96463,
    96580, 97691)(96471, 97649, 96541)(96475, 97651, 98031)(96478, 97652, 
    98032)(96479, 97653, 97779)(96486, 96780, 97452)(96493, 97276, 97355)(96495,
    97657, 96644)(96496, 97658, 97457)(96501, 97660, 98033)(96504, 97076, 
    97873)(96511, 97661, 97152)(96512, 97417, 96731)(96520, 97341, 97835)(96550,
    97677, 98036)(96557, 96996, 97700)(96560, 97100, 97879)(96561, 97270, 
    97931)(96564, 97685, 97818)(96574, 97690, 98038)(96598, 97697, 98040)(96609,
    97701, 97534)(96614, 97331, 97950)(96615, 97704, 98042)(96641, 97666, 
    98034)(96648, 96702, 97738)(96651, 97368, 97785)(96663, 97722, 97866)(96671,
    97705, 97888)(96681, 97730, 98046)(96682, 97015, 97852)(96698, 97737, 
    98041)(96700, 97115, 97605)(96701, 97127, 97197)(96712, 97742, 98049)(96716,
    97743, 97834)(96724, 97746, 98050)(96735, 97748, 98051)(96737, 97750, 
    98052)(96738, 97268, 97670)(96742, 97752, 97603)(96745, 97753, 97703)(96749,
    97754, 97680)(96751, 97431, 97972)(96758, 97757, 97052)(96770, 97764, 
    97274)(96778, 97768, 96782)(96801, 97780, 98058)(96811, 97783, 97543)(96842,
    97790, 97349)(96844, 97792, 97636)(96846, 97713, 97600)(96856, 97797, 
    98061)(96867, 97800, 97204)(96869, 97786, 98059)(96879, 97803, 97812)(96884,
    97806, 98063)(96897, 97489, 97985)(96904, 97528, 97996)(96918, 97498, 
    97145)(96928, 97824, 97597)(96933, 97320, 97428)(96940, 97814, 97646)(96941,
    97830, 98067)(96944, 97382, 97960)(96971, 97841, 98069)(96972, 97514, 
    97993)(96978, 97843, 97013)(97008, 97850, 97471)(97021, 97855, 98053)(97032,
    97857, 97526)(97037, 97656, 97531)(97055, 97868, 97482)(97067, 97872, 
    97924)(97081, 97201, 97911)(97085, 97849, 97807)(97088, 97859, 97223)(97096,
    97877, 97370)(97110, 97230, 97815)(97118, 97885, 97217)(97159, 97898, 
    98076)(97165, 97897, 97564)(97170, 97904, 98078)(97173, 97905, 97751)(97186,
    97907, 98079)(97195, 97909, 98070)(97206, 97733, 97692)(97211, 97455, 
    97624)(97247, 97923, 98081)(97248, 97759, 98054)(97258, 97772, 97413)(97260,
    97869, 97504)(97261, 97929, 98084)(97269, 97461, 97977)(97272, 97933, 
    98085)(97275, 97642, 98026)(97282, 97401, 97965)(97289, 97863, 97735)(97293,
    97533, 97928)(97300, 97519, 97736)(97312, 97942, 98027)(97319, 97711, 
    98043)(97324, 97947, 98066)(97326, 97949, 97665)(97337, 97584, 97557)(97343,
    97952, 97989)(97347, 97695, 98039)(97367, 97956, 98068)(97371, 97890, 
    97856)(97381, 97959, 98090)(97395, 97720, 98044)(97396, 97432, 97973)(97406,
    97967, 98093)(97409, 97968, 97710)(97451, 97892, 97836)(97466, 97979, 
    98077)(97478, 97927, 98083)(97486, 97581, 97875)(97493, 97986, 97805)(97496,
    97902, 97935)(97509, 97991, 97982)(97511, 97992, 97572)(97517, 97994, 
    98097)(97520, 97650, 97539)(97527, 97995, 97781)(97532, 97997, 97684)(97540,
    97887, 97707)(97542, 98000, 97562)(97547, 98001, 97669)(97571, 97922, 
    97777)(97574, 98008, 97980)(97585, 97970, 97915)(97591, 97969, 97640)(97592,
    98013, 97958)(97599, 97629, 97671)(97601, 98016, 97974)(97615, 97916, 
    97891)(97641, 97978, 98072)(97664, 97709, 98002)(97678, 97914, 97936)(97686,
    98020, 97920)(97698, 97939, 97811)(97715, 98023, 97895)(97726, 98045, 
    97990)(97728, 97791, 98060)(97739, 98047, 98024)(97740, 98048, 97828)(97761,
    98055, 97899)(97767, 98035, 98107)(97788, 97955, 97822)(97798, 97987, 
    97930)(97804, 97881, 98065)(97853, 98018, 98007)(97854, 98030, 98106)(97860,
    97951, 98087)(97864, 98071, 98110)(97880, 98074, 98056)(97948, 98011, 
    98062)(97954, 98088, 98094)(97957, 98089, 98037)(97963, 98028, 98102)(97976,
    98095, 98108)(98004, 98057, 98098)(98005, 98101, 98096)(98009, 98103, 
    98029)(98010, 98104, 98092)(98014, 98073, 98111)(98025, 98105, 98082)(98064,
    98100, 98109)(98075, 98080, 98112)(98086, 98099, 98091)>;
    
a:=x;
b:=y;