Finite Group DatabasebetaFinite Group Databasebeta| order | 24356 |
| automorphism | ? |
| homology | Abelianization (H1) = C4 · Schur multiplier (H2) = C1 |
| dicyclic | Dic6089 |
| derived, Sylow | C6089 ⋊ C4 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C2 | D6089 |
| commutator, hypocenter | C6089 | C4 |
| Fitting, socle, prime radical, cosocle | C2×C6089 | C2 |
| LCS | G ▷ C6089 | |
| UCS | C1 ◁ C2 | |
6 conjugacy classes of subgroups.
| minimal degree | μ(G) = 6093 |
| transitive degree | μt(G) = 24356 |
A minimal faithful permutation representation — 2 generators on 6093 points:
(1,2)(3,4)(5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,1202,1203,1204,1205,1206,1207,1208,1209,1210,1211,1212,1213,1214,1215,1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,1227,1228,1229,1230,1231,1232,1233,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,1250,1251,1252,1253,1254,1255,1256,1257,1258,1259,1260,1261,1262,1263,1264,1265,1266,1267,1268,1269,1270,1271,1272,1273,1274,1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,1290,1291,1292,1293,1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,1307,1308,1309,1310,1311,1312,1313,1314,1315,1316,1317,1318,1319,1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,1350,1351,1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,1379,1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,1391,1392,1393,1394,1395,1396,1397,1398,1399,1400,1401,1402,1403,1404,1405,1406,1407,1408,1409,1410,1411,1412,1413,1414,1415,1416,1417,1418,1419,1420,1421,1422,1423,1424,1425,1426,1427,1428,1429,1430,1431,1432,1433,1434,1435,1436,1437,1438,1439,1440,1441,1442,1443,1444,1445,1446,1447,1448,1449,1450,1451,1452,1453,1454,1455,1456,1457,1458,1459,1460,1461,1462,1463,1464,1465,1466,1467,1468,1469,1470,1471,1472,1473,1474,1475,1476,1477,1478,1479,1480,1481,1482,1483,1484,1485,1486,1487,1488,1489,1490,1491,1492,1493,1494,1495,1496,1497,1498,1499,1500,1501,1502,1503,1504,1505,1506,1507,1508,1509,1510,1511,1512,1513,1514,1515,1516,1517,1518,1519,1520,1521,1522,1523,1524,1525,1526,1527,1528,1529,1530,1531,1532,1533,1534,1535,1536,1537,1538,1539,1540,1541,1542,1543,1544,1545,1546,1547,1548,1549,1550,1551,1552,1553,1554,1555,1556,1557,1558,1559,1560,1561,1562,1563,1564,1565,1566,1567,1568,1569,1570,1571,1572,1573,1574,1575,1576,1577,1578,1579,1580,1581,1582,1583,1584,1585,1586,1587,1588,1589,1590,1591,1592,1593,1594,1595,1596,1597,1598,1599,1600,1601,1602,1603,1604,1605,1606,1607,1608,1609,1610,1611,1612,1613,1614,1615,1616,1617,1618,1619,1620,1621,1622,1623,1624,1625,1626,1627,1628,1629,1630,1631,1632,1633,1634,1635,1636,1637,1638,1639,1640,1641,1642,1643,1644,1645,1646,1647,1648,1649,1650,1651,1652,1653,1654,1655,1656,1657,1658,1659,1660,1661,1662,1663,1664,1665,1666,1667,1668,1669,1670,1671,1672,1673,1674,1675,1676,1677,1678,1679,1680,1681,1682,1683,1684,1685,1686,1687,1688,1689,1690,1691,1692,1693,1694,1695,1696,1697,1698,1699,1700,1701,1702,1703,1704,1705,1706,1707,1708,1709,1710,1711,1712,1713,1714,1715,1716,1717,1718,1719,1720,1721,1722,1723,1724,1725,1726,1727,1728,1729,1730,1731,1732,1733,1734,1735,1736,1737,1738,1739,1740,1741,1742,1743,1744,1745,1746,1747,1748,1749,1750,1751,1752,1753,1754,1755,1756,1757,1758,1759,1760,1761,1762,1763,1764,1765,1766,1767,1768,1769,1770,1771,1772,1773,1774,1775,1776,1777,1778,1779,1780,1781,1782,1783,1784,1785,1786,1787,1788,1789,1790,1791,1792,1793,1794,1795,1796,1797,1798,1799,1800,1801,1802,1803,1804,1805,1806,1807,1808,1809,1810,1811,1812,1813,1814,1815,1816,1817,1818,1819,1820,1821,1822,1823,1824,1825,1826,1827,1828,1829,1830,1831,1832,1833,1834,1835,1836,1837,1838,1839,1840,1841,1842,1843,1844,1845,1846,1847,1848,1849,1850,1851,1852,1853,1854,1855,1856,1857,1858,1859,1860,1861,1862,1863,1864,1865,1866,1867,1868,1869,1870,1871,1872,1873,1874,1875,1876,1877,1878,1879,1880,1881,1882,1883,1884,1885,1886,1887,1888,1889,1890,1891,1892,1893,1894,1895,1896,1897,1898,1899,1900,1901,1902,1903,1904,1905,1906,1907,1908,1909,1910,1911,1912,1913,1914,1915,1916,1917,1918,1919,1920,1921,1922,1923,1924,1925,1926,1927,1928,1929,1930,1931,1932,1933,1934,1935,1936,1937,1938,1939,1940,1941,1942,1943,1944,1945,1946,1947,1948,1949,1950,1951,1952,1953,1954,1955,1956,1957,1958,1959,1960,1961,1962,1963,1964,1965,1966,1967,1968,1969,1970,1971,1972,1973,1974,1975,1976,1977,1978,1979,1980,1981,1982,1983,1984,1985,1986,1987,1988,1989,1990,1991,1992,1993,1994,1995,1996,1997,1998,1999,2000,2001,2002,2003,2004,2005,2006,2007,2008,2009,2010,2011,2012,2013,2014,2015,2016,2017,2018,2019,2020,2021,2022,2023,2024,2025,2026,2027,2028,2029,2030,2031,2032,2033,2034,2035,2036,2037,2038,2039,2040,2041,2042,2043,2044,2045,2046,2047,2048,2049,2050,2051,2052,2053,2054,2055,2056,2057,2058,2059,2060,2061,2062,2063,2064,2065,2066,2067,2068,2069,2070,2071,2072,2073,2074,2075,2076,2077,2078,2079,2080,2081,2082,2083,2084,2085,2086,2087,2088,2089,2090,2091,2092,2093,2094,2095,2096,2097,2098,2099,2100,2101,2102,2103,2104,2105,2106,2107,2108,2109,2110,2111,2112,2113,2114,2115,2116,2117,2118,2119,2120,2121,2122,2123,2124,2125,2126,2127,2128,2129,2130,2131,2132,2133,2134,2135,2136,2137,2138,2139,2140,2141,2142,2143,2144,2145,2146,2147,2148,2149,2150,2151,2152,2153,2154,2155,2156,2157,2158,2159,2160,2161,2162,2163,2164,2165,2166,2167,2168,2169,2170,2171,2172,2173,2174,2175,2176,2177,2178,2179,2180,2181,2182,2183,2184,2185,2186,2187,2188,2189,2190,2191,2192,2193,2194,2195,2196,2197,2198,2199,2200,2201,2202,2203,2204,2205,2206,2207,2208,2209,2210,2211,2212,2213,2214,2215,2216,2217,2218,2219,2220,2221,2222,2223,2224,2225,2226,2227,2228,2229,2230,2231,2232,2233,2234,2235,2236,2237,2238,2239,2240,2241,2242,2243,2244,2245,2246,2247,2248,2249,2250,2251,2252,2253,2254,2255,2256,2257,2258,2259,2260,2261,2262,2263,2264,2265,2266,2267,2268,2269,2270,2271,2272,2273,2274,2275,2276,2277,2278,2279,2280,2281,2282,2283,2284,2285,2286,2287,2288,2289,2290,2291,2292,2293,2294,2295,2296,2297,2298,2299,2300,2301,2302,2303,2304,2305,2306,2307,2308,2309,2310,2311,2312,2313,2314,2315,2316,2317,2318,2319,2320,2321,2322,2323,2324,2325,2326,2327,2328,2329,2330,2331,2332,2333,2334,2335,2336,2337,2338,2339,2340,2341,2342,2343,2344,2345,2346,2347,2348,2349,2350,2351,2352,2353,2354,2355,2356,2357,2358,2359,2360,2361,2362,2363,2364,2365,2366,2367,2368,2369,2370,2371,2372,2373,2374,2375,2376,2377,2378,2379,2380,2381,2382,2383,2384,2385,2386,2387,2388,2389,2390,2391,2392,2393,2394,2395,2396,2397,2398,2399,2400,2401,2402,2403,2404,2405,2406,2407,2408,2409,2410,2411,2412,2413,2414,2415,2416,2417,2418,2419,2420,2421,2422,2423,2424,2425,2426,2427,2428,2429,2430,2431,2432,2433,2434,2435,2436,2437,2438,2439,2440,2441,2442,2443,2444,2445,2446,2447,2448,2449,2450,2451,2452,2453,2454,2455,2456,2457,2458,2459,2460,2461,2462,2463,2464,2465,2466,2467,2468,2469,2470,2471,2472,2473,2474,2475,2476,2477,2478,2479,2480,2481,2482,2483,2484,2485,2486,2487,2488,2489,2490,2491,2492,2493,2494,2495,2496,2497,2498,2499,2500,2501,2502,2503,2504,2505,2506,2507,2508,2509,2510,2511,2512,2513,2514,2515,2516,2517,2518,2519,2520,2521,2522,2523,2524,2525,2526,2527,2528,2529,2530,2531,2532,2533,2534,2535,2536,2537,2538,2539,2540,2541,2542,2543,2544,2545,2546,2547,2548,2549,2550,2551,2552,2553,2554,2555,2556,2557,2558,2559,2560,2561,2562,2563,2564,2565,2566,2567,2568,2569,2570,2571,2572,2573,2574,2575,2576,2577,2578,2579,2580,2581,2582,2583,2584,2585,2586,2587,2588,2589,2590,2591,2592,2593,2594,2595,2596,2597,2598,2599,2600,2601,2602,2603,2604,2605,2606,2607,2608,2609,2610,2611,2612,2613,2614,2615,2616,2617,2618,2619,2620,2621,2622,2623,2624,2625,2626,2627,2628,2629,2630,2631,2632,2633,2634,2635,2636,2637,2638,2639,2640,2641,2642,2643,2644,2645,2646,2647,2648,2649,2650,2651,2652,2653,2654,2655,2656,2657,2658,2659,2660,2661,2662,2663,2664,2665,2666,2667,2668,2669,2670,2671,2672,2673,2674,2675,2676,2677,2678,2679,2680,2681,2682,2683,2684,2685,2686,2687,2688,2689,2690,2691,2692,2693,2694,2695,2696,2697,2698,2699,2700,2701,2702,2703,2704,2705,2706,2707,2708,2709,2710,2711,2712,2713,2714,2715,2716,2717,2718,2719,2720,2721,2722,2723,2724,2725,2726,2727,2728,2729,2730,2731,2732,2733,2734,2735,2736,2737,2738,2739,2740,2741,2742,2743,2744,2745,2746,2747,2748,2749,2750,2751,2752,2753,2754,2755,2756,2757,2758,2759,2760,2761,2762,2763,2764,2765,2766,2767,2768,2769,2770,2771,2772,2773,2774,2775,2776,2777,2778,2779,2780,2781,2782,2783,2784,2785,2786,2787,2788,2789,2790,2791,2792,2793,2794,2795,2796,2797,2798,2799,2800,2801,2802,2803,2804,2805,2806,2807,2808,2809,2810,2811,2812,2813,2814,2815,2816,2817,2818,2819,2820,2821,2822,2823,2824,2825,2826,2827,2828,2829,2830,2831,2832,2833,2834,2835,2836,2837,2838,2839,2840,2841,2842,2843,2844,2845,2846,2847,2848,2849,2850,2851,2852,2853,2854,2855,2856,2857,2858,2859,2860,2861,2862,2863,2864,2865,2866,2867,2868,2869,2870,2871,2872,2873,2874,2875,2876,2877,2878,2879,2880,2881,2882,2883,2884,2885,2886,2887,2888,2889,2890,2891,2892,2893,2894,2895,2896,2897,2898,2899,2900,2901,2902,2903,2904,2905,2906,2907,2908,2909,2910,2911,2912,2913,2914,2915,2916,2917,2918,2919,2920,2921,2922,2923,2924,2925,2926,2927,2928,2929,2930,2931,2932,2933,2934,2935,2936,2937,2938,2939,2940,2941,2942,2943,2944,2945,2946,2947,2948,2949,2950,2951,2952,2953,2954,2955,2956,2957,2958,2959,2960,2961,2962,2963,2964,2965,2966,2967,2968,2969,2970,2971,2972,2973,2974,2975,2976,2977,2978,2979,2980,2981,2982,2983,2984,2985,2986,2987,2988,2989,2990,2991,2992,2993,2994,2995,2996,2997,2998,2999,3000,3001,3002,3003,3004,3005,3006,3007,3008,3009,3010,3011,3012,3013,3014,3015,3016,3017,3018,3019,3020,3021,3022,3023,3024,3025,3026,3027,3028,3029,3030,3031,3032,3033,3034,3035,3036,3037,3038,3039,3040,3041,3042,3043,3044,3045,3046,3047,3048,3049,3050,3051,3052,3053,3054,3055,3056,3057,3058,3059,3060,3061,3062,3063,3064,3065,3066,3067,3068,3069,3070,3071,3072,3073,3074,3075,3076,3077,3078,3079,3080,3081,3082,3083,3084,3085,3086,3087,3088,3089,3090,3091,3092,3093,3094,3095,3096,3097,3098,3099,3100,3101,3102,3103,3104,3105,3106,3107,3108,3109,3110,3111,3112,3113,3114,3115,3116,3117,3118,3119,3120,3121,3122,3123,3124,3125,3126,3127,3128,3129,3130,3131,3132,3133,3134,3135,3136,3137,3138,3139,3140,3141,3142,3143,3144,3145,3146,3147,3148,3149,3150,3151,3152,3153,3154,3155,3156,3157,3158,3159,3160,3161,3162,3163,3164,3165,3166,3167,3168,3169,3170,3171,3172,3173,3174,3175,3176,3177,3178,3179,3180,3181,3182,3183,3184,3185,3186,3187,3188,3189,3190,3191,3192,3193,3194,3195,3196,3197,3198,3199,3200,3201,3202,3203,3204,3205,3206,3207,3208,3209,3210,3211,3212,3213,3214,3215,3216,3217,3218,3219,3220,3221,3222,3223,3224,3225,3226,3227,3228,3229,3230,3231,3232,3233,3234,3235,3236,3237,3238,3239,3240,3241,3242,3243,3244,3245,3246,3247,3248,3249,3250,3251,3252,3253,3254,3255,3256,3257,3258,3259,3260,3261,3262,3263,3264,3265,3266,3267,3268,3269,3270,3271,3272,3273,3274,3275,3276,3277,3278,3279,3280,3281,3282,3283,3284,3285,3286,3287,3288,3289,3290,3291,3292,3293,3294,3295,3296,3297,3298,3299,3300,3301,3302,3303,3304,3305,3306,3307,3308,3309,3310,3311,3312,3313,3314,3315,3316,3317,3318,3319,3320,3321,3322,3323,3324,3325,3326,3327,3328,3329,3330,3331,3332,3333,3334,3335,3336,3337,3338,3339,3340,3341,3342,3343,3344,3345,3346,3347,3348,3349,3350,3351,3352,3353,3354,3355,3356,3357,3358,3359,3360,3361,3362,3363,3364,3365,3366,3367,3368,3369,3370,3371,3372,3373,3374,3375,3376,3377,3378,3379,3380,3381,3382,3383,3384,3385,3386,3387,3388,3389,3390,3391,3392,3393,3394,3395,3396,3397,3398,3399,3400,3401,3402,3403,3404,3405,3406,3407,3408,3409,3410,3411,3412,3413,3414,3415,3416,3417,3418,3419,3420,3421,3422,3423,3424,3425,3426,3427,3428,3429,3430,3431,3432,3433,3434,3435,3436,3437,3438,3439,3440,3441,3442,3443,3444,3445,3446,3447,3448,3449,3450,3451,3452,3453,3454,3455,3456,3457,3458,3459,3460,3461,3462,3463,3464,3465,3466,3467,3468,3469,3470,3471,3472,3473,3474,3475,3476,3477,3478,3479,3480,3481,3482,3483,3484,3485,3486,3487,3488,3489,3490,3491,3492,3493,3494,3495,3496,3497,3498,3499,3500,3501,3502,3503,3504,3505,3506,3507,3508,3509,3510,3511,3512,3513,3514,3515,3516,3517,3518,3519,3520,3521,3522,3523,3524,3525,3526,3527,3528,3529,3530,3531,3532,3533,3534,3535,3536,3537,3538,3539,3540,3541,3542,3543,3544,3545,3546,3547,3548,3549,3550,3551,3552,3553,3554,3555,3556,3557,3558,3559,3560,3561,3562,3563,3564,3565,3566,3567,3568,3569,3570,3571,3572,3573,3574,3575,3576,3577,3578,3579,3580,3581,3582,3583,3584,3585,3586,3587,3588,3589,3590,3591,3592,3593,3594,3595,3596,3597,3598,3599,3600,3601,3602,3603,3604,3605,3606,3607,3608,3609,3610,3611,3612,3613,3614,3615,3616,3617,3618,3619,3620,3621,3622,3623,3624,3625,3626,3627,3628,3629,3630,3631,3632,3633,3634,3635,3636,3637,3638,3639,3640,3641,3642,3643,3644,3645,3646,3647,3648,3649,3650,3651,3652,3653,3654,3655,3656,3657,3658,3659,3660,3661,3662,3663,3664,3665,3666,3667,3668,3669,3670,3671,3672,3673,3674,3675,3676,3677,3678,3679,3680,3681,3682,3683,3684,3685,3686,3687,3688,3689,3690,3691,3692,3693,3694,3695,3696,3697,3698,3699,3700,3701,3702,3703,3704,3705,3706,3707,3708,3709,3710,3711,3712,3713,3714,3715,3716,3717,3718,3719,3720,3721,3722,3723,3724,3725,3726,3727,3728,3729,3730,3731,3732,3733,3734,3735,3736,3737,3738,3739,3740,3741,3742,3743,3744,3745,3746,3747,3748,3749,3750,3751,3752,3753,3754,3755,3756,3757,3758,3759,3760,3761,3762,3763,3764,3765,3766,3767,3768,3769,3770,3771,3772,3773,3774,3775,3776,3777,3778,3779,3780,3781,3782,3783,3784,3785,3786,3787,3788,3789,3790,3791,3792,3793,3794,3795,3796,3797,3798,3799,3800,3801,3802,3803,3804,3805,3806,3807,3808,3809,3810,3811,3812,3813,3814,3815,3816,3817,3818,3819,3820,3821,3822,3823,3824,3825,3826,3827,3828,3829,3830,3831,3832,3833,3834,3835,3836,3837,3838,3839,3840,3841,3842,3843,3844,3845,3846,3847,3848,3849,3850,3851,3852,3853,3854,3855,3856,3857,3858,3859,3860,3861,3862,3863,3864,3865,3866,3867,3868,3869,3870,3871,3872,3873,3874,3875,3876,3877,3878,3879,3880,3881,3882,3883,3884,3885,3886,3887,3888,3889,3890,3891,3892,3893,3894,3895,3896,3897,3898,3899,3900,3901,3902,3903,3904,3905,3906,3907,3908,3909,3910,3911,3912,3913,3914,3915,3916,3917,3918,3919,3920,3921,3922,3923,3924,3925,3926,3927,3928,3929,3930,3931,3932,3933,3934,3935,3936,3937,3938,3939,3940,3941,3942,3943,3944,3945,3946,3947,3948,3949,3950,3951,3952,3953,3954,3955,3956,3957,3958,3959,3960,3961,3962,3963,3964,3965,3966,3967,3968,3969,3970,3971,3972,3973,3974,3975,3976,3977,3978,3979,3980,3981,3982,3983,3984,3985,3986,3987,3988,3989,3990,3991,3992,3993,3994,3995,3996,3997,3998,3999,4000,4001,4002,4003,4004,4005,4006,4007,4008,4009,4010,4011,4012,4013,4014,4015,4016,4017,4018,4019,4020,4021,4022,4023,4024,4025,4026,4027,4028,4029,4030,4031,4032,4033,4034,4035,4036,4037,4038,4039,4040,4041,4042,4043,4044,4045,4046,4047,4048,4049,4050,4051,4052,4053,4054,4055,4056,4057,4058,4059,4060,4061,4062,4063,4064,4065,4066,4067,4068,4069,4070,4071,4072,4073,4074,4075,4076,4077,4078,4079,4080,4081,4082,4083,4084,4085,4086,4087,4088,4089,4090,4091,4092,4093,4094,4095,4096,4097,4098,4099,4100,4101,4102,4103,4104,4105,4106,4107,4108,4109,4110,4111,4112,4113,4114,4115,4116,4117,4118,4119,4120,4121,4122,4123,4124,4125,4126,4127,4128,4129,4130,4131,4132,4133,4134,4135,4136,4137,4138,4139,4140,4141,4142,4143,4144,4145,4146,4147,4148,4149,4150,4151,4152,4153,4154,4155,4156,4157,4158,4159,4160,4161,4162,4163,4164,4165,4166,4167,4168,4169,4170,4171,4172,4173,4174,4175,4176,4177,4178,4179,4180,4181,4182,4183,4184,4185,4186,4187,4188,4189,4190,4191,4192,4193,4194,4195,4196,4197,4198,4199,4200,4201,4202,4203,4204,4205,4206,4207,4208,4209,4210,4211,4212,4213,4214,4215,4216,4217,4218,4219,4220,4221,4222,4223,4224,4225,4226,4227,4228,4229,4230,4231,4232,4233,4234,4235,4236,4237,4238,4239,4240,4241,4242,4243,4244,4245,4246,4247,4248,4249,4250,4251,4252,4253,4254,4255,4256,4257,4258,4259,4260,4261,4262,4263,4264,4265,4266,4267,4268,4269,4270,4271,4272,4273,4274,4275,4276,4277,4278,4279,4280,4281,4282,4283,4284,4285,4286,4287,4288,4289,4290,4291,4292,4293,4294,4295,4296,4297,4298,4299,4300,4301,4302,4303,4304,4305,4306,4307,4308,4309,4310,4311,4312,4313,4314,4315,4316,4317,4318,4319,4320,4321,4322,4323,4324,4325,4326,4327,4328,4329,4330,4331,4332,4333,4334,4335,4336,4337,4338,4339,4340,4341,4342,4343,4344,4345,4346,4347,4348,4349,4350,4351,4352,4353,4354,4355,4356,4357,4358,4359,4360,4361,4362,4363,4364,4365,4366,4367,4368,4369,4370,4371,4372,4373,4374,4375,4376,4377,4378,4379,4380,4381,4382,4383,4384,4385,4386,4387,4388,4389,4390,4391,4392,4393,4394,4395,4396,4397,4398,4399,4400,4401,4402,4403,4404,4405,4406,4407,4408,4409,4410,4411,4412,4413,4414,4415,4416,4417,4418,4419,4420,4421,4422,4423,4424,4425,4426,4427,4428,4429,4430,4431,4432,4433,4434,4435,4436,4437,4438,4439,4440,4441,4442,4443,4444,4445,4446,4447,4448,4449,4450,4451,4452,4453,4454,4455,4456,4457,4458,4459,4460,4461,4462,4463,4464,4465,4466,4467,4468,4469,4470,4471,4472,4473,4474,4475,4476,4477,4478,4479,4480,4481,4482,4483,4484,4485,4486,4487,4488,4489,4490,4491,4492,4493,4494,4495,4496,4497,4498,4499,4500,4501,4502,4503,4504,4505,4506,4507,4508,4509,4510,4511,4512,4513,4514,4515,4516,4517,4518,4519,4520,4521,4522,4523,4524,4525,4526,4527,4528,4529,4530,4531,4532,4533,4534,4535,4536,4537,4538,4539,4540,4541,4542,4543,4544,4545,4546,4547,4548,4549,4550,4551,4552,4553,4554,4555,4556,4557,4558,4559,4560,4561,4562,4563,4564,4565,4566,4567,4568,4569,4570,4571,4572,4573,4574,4575,4576,4577,4578,4579,4580,4581,4582,4583,4584,4585,4586,4587,4588,4589,4590,4591,4592,4593,4594,4595,4596,4597,4598,4599,4600,4601,4602,4603,4604,4605,4606,4607,4608,4609,4610,4611,4612,4613,4614,4615,4616,4617,4618,4619,4620,4621,4622,4623,4624,4625,4626,4627,4628,4629,4630,4631,4632,4633,4634,4635,4636,4637,4638,4639,4640,4641,4642,4643,4644,4645,4646,4647,4648,4649,4650,4651,4652,4653,4654,4655,4656,4657,4658,4659,4660,4661,4662,4663,4664,4665,4666,4667,4668,4669,4670,4671,4672,4673,4674,4675,4676,4677,4678,4679,4680,4681,4682,4683,4684,4685,4686,4687,4688,4689,4690,4691,4692,4693,4694,4695,4696,4697,4698,4699,4700,4701,4702,4703,4704,4705,4706,4707,4708,4709,4710,4711,4712,4713,4714,4715,4716,4717,4718,4719,4720,4721,4722,4723,4724,4725,4726,4727,4728,4729,4730,4731,4732,4733,4734,4735,4736,4737,4738,4739,4740,4741,4742,4743,4744,4745,4746,4747,4748,4749,4750,4751,4752,4753,4754,4755,4756,4757,4758,4759,4760,4761,4762,4763,4764,4765,4766,4767,4768,4769,4770,4771,4772,4773,4774,4775,4776,4777,4778,4779,4780,4781,4782,4783,4784,4785,4786,4787,4788,4789,4790,4791,4792,4793,4794,4795,4796,4797,4798,4799,4800,4801,4802,4803,4804,4805,4806,4807,4808,4809,4810,4811,4812,4813,4814,4815,4816,4817,4818,4819,4820,4821,4822,4823,4824,4825,4826,4827,4828,4829,4830,4831,4832,4833,4834,4835,4836,4837,4838,4839,4840,4841,4842,4843,4844,4845,4846,4847,4848,4849,4850,4851,4852,4853,4854,4855,4856,4857,4858,4859,4860,4861,4862,4863,4864,4865,4866,4867,4868,4869,4870,4871,4872,4873,4874,4875,4876,4877,4878,4879,4880,4881,4882,4883,4884,4885,4886,4887,4888,4889,4890,4891,4892,4893,4894,4895,4896,4897,4898,4899,4900,4901,4902,4903,4904,4905,4906,4907,4908,4909,4910,4911,4912,4913,4914,4915,4916,4917,4918,4919,4920,4921,4922,4923,4924,4925,4926,4927,4928,4929,4930,4931,4932,4933,4934,4935,4936,4937,4938,4939,4940,4941,4942,4943,4944,4945,4946,4947,4948,4949,4950,4951,4952,4953,4954,4955,4956,4957,4958,4959,4960,4961,4962,4963,4964,4965,4966,4967,4968,4969,4970,4971,4972,4973,4974,4975,4976,4977,4978,4979,4980,4981,4982,4983,4984,4985,4986,4987,4988,4989,4990,4991,4992,4993,4994,4995,4996,4997,4998,4999,5000,5001,5002,5003,5004,5005,5006,5007,5008,5009,5010,5011,5012,5013,5014,5015,5016,5017,5018,5019,5020,5021,5022,5023,5024,5025,5026,5027,5028,5029,5030,5031,5032,5033,5034,5035,5036,5037,5038,5039,5040,5041,5042,5043,5044,5045,5046,5047,5048,5049,5050,5051,5052,5053,5054,5055,5056,5057,5058,5059,5060,5061,5062,5063,5064,5065,5066,5067,5068,5069,5070,5071,5072,5073,5074,5075,5076,5077,5078,5079,5080,5081,5082,5083,5084,5085,5086,5087,5088,5089,5090,5091,5092,5093,5094,5095,5096,5097,5098,5099,5100,5101,5102,5103,5104,5105,5106,5107,5108,5109,5110,5111,5112,5113,5114,5115,5116,5117,5118,5119,5120,5121,5122,5123,5124,5125,5126,5127,5128,5129,5130,5131,5132,5133,5134,5135,5136,5137,5138,5139,5140,5141,5142,5143,5144,5145,5146,5147,5148,5149,5150,5151,5152,5153,5154,5155,5156,5157,5158,5159,5160,5161,5162,5163,5164,5165,5166,5167,5168,5169,5170,5171,5172,5173,5174,5175,5176,5177,5178,5179,5180,5181,5182,5183,5184,5185,5186,5187,5188,5189,5190,5191,5192,5193,5194,5195,5196,5197,5198,5199,5200,5201,5202,5203,5204,5205,5206,5207,5208,5209,5210,5211,5212,5213,5214,5215,5216,5217,5218,5219,5220,5221,5222,5223,5224,5225,5226,5227,5228,5229,5230,5231,5232,5233,5234,5235,5236,5237,5238,5239,5240,5241,5242,5243,5244,5245,5246,5247,5248,5249,5250,5251,5252,5253,5254,5255,5256,5257,5258,5259,5260,5261,5262,5263,5264,5265,5266,5267,5268,5269,5270,5271,5272,5273,5274,5275,5276,5277,5278,5279,5280,5281,5282,5283,5284,5285,5286,5287,5288,5289,5290,5291,5292,5293,5294,5295,5296,5297,5298,5299,5300,5301,5302,5303,5304,5305,5306,5307,5308,5309,5310,5311,5312,5313,5314,5315,5316,5317,5318,5319,5320,5321,5322,5323,5324,5325,5326,5327,5328,5329,5330,5331,5332,5333,5334,5335,5336,5337,5338,5339,5340,5341,5342,5343,5344,5345,5346,5347,5348,5349,5350,5351,5352,5353,5354,5355,5356,5357,5358,5359,5360,5361,5362,5363,5364,5365,5366,5367,5368,5369,5370,5371,5372,5373,5374,5375,5376,5377,5378,5379,5380,5381,5382,5383,5384,5385,5386,5387,5388,5389,5390,5391,5392,5393,5394,5395,5396,5397,5398,5399,5400,5401,5402,5403,5404,5405,5406,5407,5408,5409,5410,5411,5412,5413,5414,5415,5416,5417,5418,5419,5420,5421,5422,5423,5424,5425,5426,5427,5428,5429,5430,5431,5432,5433,5434,5435,5436,5437,5438,5439,5440,5441,5442,5443,5444,5445,5446,5447,5448,5449,5450,5451,5452,5453,5454,5455,5456,5457,5458,5459,5460,5461,5462,5463,5464,5465,5466,5467,5468,5469,5470,5471,5472,5473,5474,5475,5476,5477,5478,5479,5480,5481,5482,5483,5484,5485,5486,5487,5488,5489,5490,5491,5492,5493,5494,5495,5496,5497,5498,5499,5500,5501,5502,5503,5504,5505,5506,5507,5508,5509,5510,5511,5512,5513,5514,5515,5516,5517,5518,5519,5520,5521,5522,5523,5524,5525,5526,5527,5528,5529,5530,5531,5532,5533,5534,5535,5536,5537,5538,5539,5540,5541,5542,5543,5544,5545,5546,5547,5548,5549,5550,5551,5552,5553,5554,5555,5556,5557,5558,5559,5560,5561,5562,5563,5564,5565,5566,5567,5568,5569,5570,5571,5572,5573,5574,5575,5576,5577,5578,5579,5580,5581,5582,5583,5584,5585,5586,5587,5588,5589,5590,5591,5592,5593,5594,5595,5596,5597,5598,5599,5600,5601,5602,5603,5604,5605,5606,5607,5608,5609,5610,5611,5612,5613,5614,5615,5616,5617,5618,5619,5620,5621,5622,5623,5624,5625,5626,5627,5628,5629,5630,5631,5632,5633,5634,5635,5636,5637,5638,5639,5640,5641,5642,5643,5644,5645,5646,5647,5648,5649,5650,5651,5652,5653,5654,5655,5656,5657,5658,5659,5660,5661,5662,5663,5664,5665,5666,5667,5668,5669,5670,5671,5672,5673,5674,5675,5676,5677,5678,5679,5680,5681,5682,5683,5684,5685,5686,5687,5688,5689,5690,5691,5692,5693,5694,5695,5696,5697,5698,5699,5700,5701,5702,5703,5704,5705,5706,5707,5708,5709,5710,5711,5712,5713,5714,5715,5716,5717,5718,5719,5720,5721,5722,5723,5724,5725,5726,5727,5728,5729,5730,5731,5732,5733,5734,5735,5736,5737,5738,5739,5740,5741,5742,5743,5744,5745,5746,5747,5748,5749,5750,5751,5752,5753,5754,5755,5756,5757,5758,5759,5760,5761,5762,5763,5764,5765,5766,5767,5768,5769,5770,5771,5772,5773,5774,5775,5776,5777,5778,5779,5780,5781,5782,5783,5784,5785,5786,5787,5788,5789,5790,5791,5792,5793,5794,5795,5796,5797,5798,5799,5800,5801,5802,5803,5804,5805,5806,5807,5808,5809,5810,5811,5812,5813,5814,5815,5816,5817,5818,5819,5820,5821,5822,5823,5824,5825,5826,5827,5828,5829,5830,5831,5832,5833,5834,5835,5836,5837,5838,5839,5840,5841,5842,5843,5844,5845,5846,5847,5848,5849,5850,5851,5852,5853,5854,5855,5856,5857,5858,5859,5860,5861,5862,5863,5864,5865,5866,5867,5868,5869,5870,5871,5872,5873,5874,5875,5876,5877,5878,5879,5880,5881,5882,5883,5884,5885,5886,5887,5888,5889,5890,5891,5892,5893,5894,5895,5896,5897,5898,5899,5900,5901,5902,5903,5904,5905,5906,5907,5908,5909,5910,5911,5912,5913,5914,5915,5916,5917,5918,5919,5920,5921,5922,5923,5924,5925,5926,5927,5928,5929,5930,5931,5932,5933,5934,5935,5936,5937,5938,5939,5940,5941,5942,5943,5944,5945,5946,5947,5948,5949,5950,5951,5952,5953,5954,5955,5956,5957,5958,5959,5960,5961,5962,5963,5964,5965,5966,5967,5968,5969,5970,5971,5972,5973,5974,5975,5976,5977,5978,5979,5980,5981,5982,5983,5984,5985,5986,5987,5988,5989,5990,5991,5992,5993,5994,5995,5996,5997,5998,5999,6000,6001,6002,6003,6004,6005,6006,6007,6008,6009,6010,6011,6012,6013,6014,6015,6016,6017,6018,6019,6020,6021,6022,6023,6024,6025,6026,6027,6028,6029,6030,6031,6032,6033,6034,6035,6036,6037,6038,6039,6040,6041,6042,6043,6044,6045,6046,6047,6048,6049,6050,6051,6052,6053,6054,6055,6056,6057,6058,6059,6060,6061,6062,6063,6064,6065,6066,6067,6068,6069,6070,6071,6072,6073,6074,6075,6076,6077,6078,6079,6080,6081,6082,6083,6084,6085,6086,6087,6088,6089,6090,6091,6092,6093);(1,3,2,4)(6,6093)(7,6092)(8,6091)(9,6090)(10,6089)(11,6088)(12,6087)(13,6086)(14,6085)(15,6084)(16,6083)(17,6082)(18,6081)(19,6080)(20,6079)(21,6078)(22,6077)(23,6076)(24,6075)(25,6074)(26,6073)(27,6072)(28,6071)(29,6070)(30,6069)(31,6068)(32,6067)(33,6066)(34,6065)(35,6064)(36,6063)(37,6062)(38,6061)(39,6060)(40,6059)(41,6058)(42,6057)(43,6056)(44,6055)(45,6054)(46,6053)(47,6052)(48,6051)(49,6050)(50,6049)(51,6048)(52,6047)(53,6046)(54,6045)(55,6044)(56,6043)(57,6042)(58,6041)(59,6040)(60,6039)(61,6038)(62,6037)(63,6036)(64,6035)(65,6034)(66,6033)(67,6032)(68,6031)(69,6030)(70,6029)(71,6028)(72,6027)(73,6026)(74,6025)(75,6024)(76,6023)(77,6022)(78,6021)(79,6020)(80,6019)(81,6018)(82,6017)(83,6016)(84,6015)(85,6014)(86,6013)(87,6012)(88,6011)(89,6010)(90,6009)(91,6008)(92,6007)(93,6006)(94,6005)(95,6004)(96,6003)(97,6002)(98,6001)(99,6000)(100,5999)(101,5998)(102,5997)(103,5996)(104,5995)(105,5994)(106,5993)(107,5992)(108,5991)(109,5990)(110,5989)(111,5988)(112,5987)(113,5986)(114,5985)(115,5984)(116,5983)(117,5982)(118,5981)(119,5980)(120,5979)(121,5978)(122,5977)(123,5976)(124,5975)(125,5974)(126,5973)(127,5972)(128,5971)(129,5970)(130,5969)(131,5968)(132,5967)(133,5966)(134,5965)(135,5964)(136,5963)(137,5962)(138,5961)(139,5960)(140,5959)(141,5958)(142,5957)(143,5956)(144,5955)(145,5954)(146,5953)(147,5952)(148,5951)(149,5950)(150,5949)(151,5948)(152,5947)(153,5946)(154,5945)(155,5944)(156,5943)(157,5942)(158,5941)(159,5940)(160,5939)(161,5938)(162,5937)(163,5936)(164,5935)(165,5934)(166,5933)(167,5932)(168,5931)(169,5930)(170,5929)(171,5928)(172,5927)(173,5926)(174,5925)(175,5924)(176,5923)(177,5922)(178,5921)(179,5920)(180,5919)(181,5918)(182,5917)(183,5916)(184,5915)(185,5914)(186,5913)(187,5912)(188,5911)(189,5910)(190,5909)(191,5908)(192,5907)(193,5906)(194,5905)(195,5904)(196,5903)(197,5902)(198,5901)(199,5900)(200,5899)(201,5898)(202,5897)(203,5896)(204,5895)(205,5894)(206,5893)(207,5892)(208,5891)(209,5890)(210,5889)(211,5888)(212,5887)(213,5886)(214,5885)(215,5884)(216,5883)(217,5882)(218,5881)(219,5880)(220,5879)(221,5878)(222,5877)(223,5876)(224,5875)(225,5874)(226,5873)(227,5872)(228,5871)(229,5870)(230,5869)(231,5868)(232,5867)(233,5866)(234,5865)(235,5864)(236,5863)(237,5862)(238,5861)(239,5860)(240,5859)(241,5858)(242,5857)(243,5856)(244,5855)(245,5854)(246,5853)(247,5852)(248,5851)(249,5850)(250,5849)(251,5848)(252,5847)(253,5846)(254,5845)(255,5844)(256,5843)(257,5842)(258,5841)(259,5840)(260,5839)(261,5838)(262,5837)(263,5836)(264,5835)(265,5834)(266,5833)(267,5832)(268,5831)(269,5830)(270,5829)(271,5828)(272,5827)(273,5826)(274,5825)(275,5824)(276,5823)(277,5822)(278,5821)(279,5820)(280,5819)(281,5818)(282,5817)(283,5816)(284,5815)(285,5814)(286,5813)(287,5812)(288,5811)(289,5810)(290,5809)(291,5808)(292,5807)(293,5806)(294,5805)(295,5804)(296,5803)(297,5802)(298,5801)(299,5800)(300,5799)(301,5798)(302,5797)(303,5796)(304,5795)(305,5794)(306,5793)(307,5792)(308,5791)(309,5790)(310,5789)(311,5788)(312,5787)(313,5786)(314,5785)(315,5784)(316,5783)(317,5782)(318,5781)(319,5780)(320,5779)(321,5778)(322,5777)(323,5776)(324,5775)(325,5774)(326,5773)(327,5772)(328,5771)(329,5770)(330,5769)(331,5768)(332,5767)(333,5766)(334,5765)(335,5764)(336,5763)(337,5762)(338,5761)(339,5760)(340,5759)(341,5758)(342,5757)(343,5756)(344,5755)(345,5754)(346,5753)(347,5752)(348,5751)(349,5750)(350,5749)(351,5748)(352,5747)(353,5746)(354,5745)(355,5744)(356,5743)(357,5742)(358,5741)(359,5740)(360,5739)(361,5738)(362,5737)(363,5736)(364,5735)(365,5734)(366,5733)(367,5732)(368,5731)(369,5730)(370,5729)(371,5728)(372,5727)(373,5726)(374,5725)(375,5724)(376,5723)(377,5722)(378,5721)(379,5720)(380,5719)(381,5718)(382,5717)(383,5716)(384,5715)(385,5714)(386,5713)(387,5712)(388,5711)(389,5710)(390,5709)(391,5708)(392,5707)(393,5706)(394,5705)(395,5704)(396,5703)(397,5702)(398,5701)(399,5700)(400,5699)(401,5698)(402,5697)(403,5696)(404,5695)(405,5694)(406,5693)(407,5692)(408,5691)(409,5690)(410,5689)(411,5688)(412,5687)(413,5686)(414,5685)(415,5684)(416,5683)(417,5682)(418,5681)(419,5680)(420,5679)(421,5678)(422,5677)(423,5676)(424,5675)(425,5674)(426,5673)(427,5672)(428,5671)(429,5670)(430,5669)(431,5668)(432,5667)(433,5666)(434,5665)(435,5664)(436,5663)(437,5662)(438,5661)(439,5660)(440,5659)(441,5658)(442,5657)(443,5656)(444,5655)(445,5654)(446,5653)(447,5652)(448,5651)(449,5650)(450,5649)(451,5648)(452,5647)(453,5646)(454,5645)(455,5644)(456,5643)(457,5642)(458,5641)(459,5640)(460,5639)(461,5638)(462,5637)(463,5636)(464,5635)(465,5634)(466,5633)(467,5632)(468,5631)(469,5630)(470,5629)(471,5628)(472,5627)(473,5626)(474,5625)(475,5624)(476,5623)(477,5622)(478,5621)(479,5620)(480,5619)(481,5618)(482,5617)(483,5616)(484,5615)(485,5614)(486,5613)(487,5612)(488,5611)(489,5610)(490,5609)(491,5608)(492,5607)(493,5606)(494,5605)(495,5604)(496,5603)(497,5602)(498,5601)(499,5600)(500,5599)(501,5598)(502,5597)(503,5596)(504,5595)(505,5594)(506,5593)(507,5592)(508,5591)(509,5590)(510,5589)(511,5588)(512,5587)(513,5586)(514,5585)(515,5584)(516,5583)(517,5582)(518,5581)(519,5580)(520,5579)(521,5578)(522,5577)(523,5576)(524,5575)(525,5574)(526,5573)(527,5572)(528,5571)(529,5570)(530,5569)(531,5568)(532,5567)(533,5566)(534,5565)(535,5564)(536,5563)(537,5562)(538,5561)(539,5560)(540,5559)(541,5558)(542,5557)(543,5556)(544,5555)(545,5554)(546,5553)(547,5552)(548,5551)(549,5550)(550,5549)(551,5548)(552,5547)(553,5546)(554,5545)(555,5544)(556,5543)(557,5542)(558,5541)(559,5540)(560,5539)(561,5538)(562,5537)(563,5536)(564,5535)(565,5534)(566,5533)(567,5532)(568,5531)(569,5530)(570,5529)(571,5528)(572,5527)(573,5526)(574,5525)(575,5524)(576,5523)(577,5522)(578,5521)(579,5520)(580,5519)(581,5518)(582,5517)(583,5516)(584,5515)(585,5514)(586,5513)(587,5512)(588,5511)(589,5510)(590,5509)(591,5508)(592,5507)(593,5506)(594,5505)(595,5504)(596,5503)(597,5502)(598,5501)(599,5500)(600,5499)(601,5498)(602,5497)(603,5496)(604,5495)(605,5494)(606,5493)(607,5492)(608,5491)(609,5490)(610,5489)(611,5488)(612,5487)(613,5486)(614,5485)(615,5484)(616,5483)(617,5482)(618,5481)(619,5480)(620,5479)(621,5478)(622,5477)(623,5476)(624,5475)(625,5474)(626,5473)(627,5472)(628,5471)(629,5470)(630,5469)(631,5468)(632,5467)(633,5466)(634,5465)(635,5464)(636,5463)(637,5462)(638,5461)(639,5460)(640,5459)(641,5458)(642,5457)(643,5456)(644,5455)(645,5454)(646,5453)(647,5452)(648,5451)(649,5450)(650,5449)(651,5448)(652,5447)(653,5446)(654,5445)(655,5444)(656,5443)(657,5442)(658,5441)(659,5440)(660,5439)(661,5438)(662,5437)(663,5436)(664,5435)(665,5434)(666,5433)(667,5432)(668,5431)(669,5430)(670,5429)(671,5428)(672,5427)(673,5426)(674,5425)(675,5424)(676,5423)(677,5422)(678,5421)(679,5420)(680,5419)(681,5418)(682,5417)(683,5416)(684,5415)(685,5414)(686,5413)(687,5412)(688,5411)(689,5410)(690,5409)(691,5408)(692,5407)(693,5406)(694,5405)(695,5404)(696,5403)(697,5402)(698,5401)(699,5400)(700,5399)(701,5398)(702,5397)(703,5396)(704,5395)(705,5394)(706,5393)(707,5392)(708,5391)(709,5390)(710,5389)(711,5388)(712,5387)(713,5386)(714,5385)(715,5384)(716,5383)(717,5382)(718,5381)(719,5380)(720,5379)(721,5378)(722,5377)(723,5376)(724,5375)(725,5374)(726,5373)(727,5372)(728,5371)(729,5370)(730,5369)(731,5368)(732,5367)(733,5366)(734,5365)(735,5364)(736,5363)(737,5362)(738,5361)(739,5360)(740,5359)(741,5358)(742,5357)(743,5356)(744,5355)(745,5354)(746,5353)(747,5352)(748,5351)(749,5350)(750,5349)(751,5348)(752,5347)(753,5346)(754,5345)(755,5344)(756,5343)(757,5342)(758,5341)(759,5340)(760,5339)(761,5338)(762,5337)(763,5336)(764,5335)(765,5334)(766,5333)(767,5332)(768,5331)(769,5330)(770,5329)(771,5328)(772,5327)(773,5326)(774,5325)(775,5324)(776,5323)(777,5322)(778,5321)(779,5320)(780,5319)(781,5318)(782,5317)(783,5316)(784,5315)(785,5314)(786,5313)(787,5312)(788,5311)(789,5310)(790,5309)(791,5308)(792,5307)(793,5306)(794,5305)(795,5304)(796,5303)(797,5302)(798,5301)(799,5300)(800,5299)(801,5298)(802,5297)(803,5296)(804,5295)(805,5294)(806,5293)(807,5292)(808,5291)(809,5290)(810,5289)(811,5288)(812,5287)(813,5286)(814,5285)(815,5284)(816,5283)(817,5282)(818,5281)(819,5280)(820,5279)(821,5278)(822,5277)(823,5276)(824,5275)(825,5274)(826,5273)(827,5272)(828,5271)(829,5270)(830,5269)(831,5268)(832,5267)(833,5266)(834,5265)(835,5264)(836,5263)(837,5262)(838,5261)(839,5260)(840,5259)(841,5258)(842,5257)(843,5256)(844,5255)(845,5254)(846,5253)(847,5252)(848,5251)(849,5250)(850,5249)(851,5248)(852,5247)(853,5246)(854,5245)(855,5244)(856,5243)(857,5242)(858,5241)(859,5240)(860,5239)(861,5238)(862,5237)(863,5236)(864,5235)(865,5234)(866,5233)(867,5232)(868,5231)(869,5230)(870,5229)(871,5228)(872,5227)(873,5226)(874,5225)(875,5224)(876,5223)(877,5222)(878,5221)(879,5220)(880,5219)(881,5218)(882,5217)(883,5216)(884,5215)(885,5214)(886,5213)(887,5212)(888,5211)(889,5210)(890,5209)(891,5208)(892,5207)(893,5206)(894,5205)(895,5204)(896,5203)(897,5202)(898,5201)(899,5200)(900,5199)(901,5198)(902,5197)(903,5196)(904,5195)(905,5194)(906,5193)(907,5192)(908,5191)(909,5190)(910,5189)(911,5188)(912,5187)(913,5186)(914,5185)(915,5184)(916,5183)(917,5182)(918,5181)(919,5180)(920,5179)(921,5178)(922,5177)(923,5176)(924,5175)(925,5174)(926,5173)(927,5172)(928,5171)(929,5170)(930,5169)(931,5168)(932,5167)(933,5166)(934,5165)(935,5164)(936,5163)(937,5162)(938,5161)(939,5160)(940,5159)(941,5158)(942,5157)(943,5156)(944,5155)(945,5154)(946,5153)(947,5152)(948,5151)(949,5150)(950,5149)(951,5148)(952,5147)(953,5146)(954,5145)(955,5144)(956,5143)(957,5142)(958,5141)(959,5140)(960,5139)(961,5138)(962,5137)(963,5136)(964,5135)(965,5134)(966,5133)(967,5132)(968,5131)(969,5130)(970,5129)(971,5128)(972,5127)(973,5126)(974,5125)(975,5124)(976,5123)(977,5122)(978,5121)(979,5120)(980,5119)(981,5118)(982,5117)(983,5116)(984,5115)(985,5114)(986,5113)(987,5112)(988,5111)(989,5110)(990,5109)(991,5108)(992,5107)(993,5106)(994,5105)(995,5104)(996,5103)(997,5102)(998,5101)(999,5100)(1000,5099)(1001,5098)(1002,5097)(1003,5096)(1004,5095)(1005,5094)(1006,5093)(1007,5092)(1008,5091)(1009,5090)(1010,5089)(1011,5088)(1012,5087)(1013,5086)(1014,5085)(1015,5084)(1016,5083)(1017,5082)(1018,5081)(1019,5080)(1020,5079)(1021,5078)(1022,5077)(1023,5076)(1024,5075)(1025,5074)(1026,5073)(1027,5072)(1028,5071)(1029,5070)(1030,5069)(1031,5068)(1032,5067)(1033,5066)(1034,5065)(1035,5064)(1036,5063)(1037,5062)(1038,5061)(1039,5060)(1040,5059)(1041,5058)(1042,5057)(1043,5056)(1044,5055)(1045,5054)(1046,5053)(1047,5052)(1048,5051)(1049,5050)(1050,5049)(1051,5048)(1052,5047)(1053,5046)(1054,5045)(1055,5044)(1056,5043)(1057,5042)(1058,5041)(1059,5040)(1060,5039)(1061,5038)(1062,5037)(1063,5036)(1064,5035)(1065,5034)(1066,5033)(1067,5032)(1068,5031)(1069,5030)(1070,5029)(1071,5028)(1072,5027)(1073,5026)(1074,5025)(1075,5024)(1076,5023)(1077,5022)(1078,5021)(1079,5020)(1080,5019)(1081,5018)(1082,5017)(1083,5016)(1084,5015)(1085,5014)(1086,5013)(1087,5012)(1088,5011)(1089,5010)(1090,5009)(1091,5008)(1092,5007)(1093,5006)(1094,5005)(1095,5004)(1096,5003)(1097,5002)(1098,5001)(1099,5000)(1100,4999)(1101,4998)(1102,4997)(1103,4996)(1104,4995)(1105,4994)(1106,4993)(1107,4992)(1108,4991)(1109,4990)(1110,4989)(1111,4988)(1112,4987)(1113,4986)(1114,4985)(1115,4984)(1116,4983)(1117,4982)(1118,4981)(1119,4980)(1120,4979)(1121,4978)(1122,4977)(1123,4976)(1124,4975)(1125,4974)(1126,4973)(1127,4972)(1128,4971)(1129,4970)(1130,4969)(1131,4968)(1132,4967)(1133,4966)(1134,4965)(1135,4964)(1136,4963)(1137,4962)(1138,4961)(1139,4960)(1140,4959)(1141,4958)(1142,4957)(1143,4956)(1144,4955)(1145,4954)(1146,4953)(1147,4952)(1148,4951)(1149,4950)(1150,4949)(1151,4948)(1152,4947)(1153,4946)(1154,4945)(1155,4944)(1156,4943)(1157,4942)(1158,4941)(1159,4940)(1160,4939)(1161,4938)(1162,4937)(1163,4936)(1164,4935)(1165,4934)(1166,4933)(1167,4932)(1168,4931)(1169,4930)(1170,4929)(1171,4928)(1172,4927)(1173,4926)(1174,4925)(1175,4924)(1176,4923)(1177,4922)(1178,4921)(1179,4920)(1180,4919)(1181,4918)(1182,4917)(1183,4916)(1184,4915)(1185,4914)(1186,4913)(1187,4912)(1188,4911)(1189,4910)(1190,4909)(1191,4908)(1192,4907)(1193,4906)(1194,4905)(1195,4904)(1196,4903)(1197,4902)(1198,4901)(1199,4900)(1200,4899)(1201,4898)(1202,4897)(1203,4896)(1204,4895)(1205,4894)(1206,4893)(1207,4892)(1208,4891)(1209,4890)(1210,4889)(1211,4888)(1212,4887)(1213,4886)(1214,4885)(1215,4884)(1216,4883)(1217,4882)(1218,4881)(1219,4880)(1220,4879)(1221,4878)(1222,4877)(1223,4876)(1224,4875)(1225,4874)(1226,4873)(1227,4872)(1228,4871)(1229,4870)(1230,4869)(1231,4868)(1232,4867)(1233,4866)(1234,4865)(1235,4864)(1236,4863)(1237,4862)(1238,4861)(1239,4860)(1240,4859)(1241,4858)(1242,4857)(1243,4856)(1244,4855)(1245,4854)(1246,4853)(1247,4852)(1248,4851)(1249,4850)(1250,4849)(1251,4848)(1252,4847)(1253,4846)(1254,4845)(1255,4844)(1256,4843)(1257,4842)(1258,4841)(1259,4840)(1260,4839)(1261,4838)(1262,4837)(1263,4836)(1264,4835)(1265,4834)(1266,4833)(1267,4832)(1268,4831)(1269,4830)(1270,4829)(1271,4828)(1272,4827)(1273,4826)(1274,4825)(1275,4824)(1276,4823)(1277,4822)(1278,4821)(1279,4820)(1280,4819)(1281,4818)(1282,4817)(1283,4816)(1284,4815)(1285,4814)(1286,4813)(1287,4812)(1288,4811)(1289,4810)(1290,4809)(1291,4808)(1292,4807)(1293,4806)(1294,4805)(1295,4804)(1296,4803)(1297,4802)(1298,4801)(1299,4800)(1300,4799)(1301,4798)(1302,4797)(1303,4796)(1304,4795)(1305,4794)(1306,4793)(1307,4792)(1308,4791)(1309,4790)(1310,4789)(1311,4788)(1312,4787)(1313,4786)(1314,4785)(1315,4784)(1316,4783)(1317,4782)(1318,4781)(1319,4780)(1320,4779)(1321,4778)(1322,4777)(1323,4776)(1324,4775)(1325,4774)(1326,4773)(1327,4772)(1328,4771)(1329,4770)(1330,4769)(1331,4768)(1332,4767)(1333,4766)(1334,4765)(1335,4764)(1336,4763)(1337,4762)(1338,4761)(1339,4760)(1340,4759)(1341,4758)(1342,4757)(1343,4756)(1344,4755)(1345,4754)(1346,4753)(1347,4752)(1348,4751)(1349,4750)(1350,4749)(1351,4748)(1352,4747)(1353,4746)(1354,4745)(1355,4744)(1356,4743)(1357,4742)(1358,4741)(1359,4740)(1360,4739)(1361,4738)(1362,4737)(1363,4736)(1364,4735)(1365,4734)(1366,4733)(1367,4732)(1368,4731)(1369,4730)(1370,4729)(1371,4728)(1372,4727)(1373,4726)(1374,4725)(1375,4724)(1376,4723)(1377,4722)(1378,4721)(1379,4720)(1380,4719)(1381,4718)(1382,4717)(1383,4716)(1384,4715)(1385,4714)(1386,4713)(1387,4712)(1388,4711)(1389,4710)(1390,4709)(1391,4708)(1392,4707)(1393,4706)(1394,4705)(1395,4704)(1396,4703)(1397,4702)(1398,4701)(1399,4700)(1400,4699)(1401,4698)(1402,4697)(1403,4696)(1404,4695)(1405,4694)(1406,4693)(1407,4692)(1408,4691)(1409,4690)(1410,4689)(1411,4688)(1412,4687)(1413,4686)(1414,4685)(1415,4684)(1416,4683)(1417,4682)(1418,4681)(1419,4680)(1420,4679)(1421,4678)(1422,4677)(1423,4676)(1424,4675)(1425,4674)(1426,4673)(1427,4672)(1428,4671)(1429,4670)(1430,4669)(1431,4668)(1432,4667)(1433,4666)(1434,4665)(1435,4664)(1436,4663)(1437,4662)(1438,4661)(1439,4660)(1440,4659)(1441,4658)(1442,4657)(1443,4656)(1444,4655)(1445,4654)(1446,4653)(1447,4652)(1448,4651)(1449,4650)(1450,4649)(1451,4648)(1452,4647)(1453,4646)(1454,4645)(1455,4644)(1456,4643)(1457,4642)(1458,4641)(1459,4640)(1460,4639)(1461,4638)(1462,4637)(1463,4636)(1464,4635)(1465,4634)(1466,4633)(1467,4632)(1468,4631)(1469,4630)(1470,4629)(1471,4628)(1472,4627)(1473,4626)(1474,4625)(1475,4624)(1476,4623)(1477,4622)(1478,4621)(1479,4620)(1480,4619)(1481,4618)(1482,4617)(1483,4616)(1484,4615)(1485,4614)(1486,4613)(1487,4612)(1488,4611)(1489,4610)(1490,4609)(1491,4608)(1492,4607)(1493,4606)(1494,4605)(1495,4604)(1496,4603)(1497,4602)(1498,4601)(1499,4600)(1500,4599)(1501,4598)(1502,4597)(1503,4596)(1504,4595)(1505,4594)(1506,4593)(1507,4592)(1508,4591)(1509,4590)(1510,4589)(1511,4588)(1512,4587)(1513,4586)(1514,4585)(1515,4584)(1516,4583)(1517,4582)(1518,4581)(1519,4580)(1520,4579)(1521,4578)(1522,4577)(1523,4576)(1524,4575)(1525,4574)(1526,4573)(1527,4572)(1528,4571)(1529,4570)(1530,4569)(1531,4568)(1532,4567)(1533,4566)(1534,4565)(1535,4564)(1536,4563)(1537,4562)(1538,4561)(1539,4560)(1540,4559)(1541,4558)(1542,4557)(1543,4556)(1544,4555)(1545,4554)(1546,4553)(1547,4552)(1548,4551)(1549,4550)(1550,4549)(1551,4548)(1552,4547)(1553,4546)(1554,4545)(1555,4544)(1556,4543)(1557,4542)(1558,4541)(1559,4540)(1560,4539)(1561,4538)(1562,4537)(1563,4536)(1564,4535)(1565,4534)(1566,4533)(1567,4532)(1568,4531)(1569,4530)(1570,4529)(1571,4528)(1572,4527)(1573,4526)(1574,4525)(1575,4524)(1576,4523)(1577,4522)(1578,4521)(1579,4520)(1580,4519)(1581,4518)(1582,4517)(1583,4516)(1584,4515)(1585,4514)(1586,4513)(1587,4512)(1588,4511)(1589,4510)(1590,4509)(1591,4508)(1592,4507)(1593,4506)(1594,4505)(1595,4504)(1596,4503)(1597,4502)(1598,4501)(1599,4500)(1600,4499)(1601,4498)(1602,4497)(1603,4496)(1604,4495)(1605,4494)(1606,4493)(1607,4492)(1608,4491)(1609,4490)(1610,4489)(1611,4488)(1612,4487)(1613,4486)(1614,4485)(1615,4484)(1616,4483)(1617,4482)(1618,4481)(1619,4480)(1620,4479)(1621,4478)(1622,4477)(1623,4476)(1624,4475)(1625,4474)(1626,4473)(1627,4472)(1628,4471)(1629,4470)(1630,4469)(1631,4468)(1632,4467)(1633,4466)(1634,4465)(1635,4464)(1636,4463)(1637,4462)(1638,4461)(1639,4460)(1640,4459)(1641,4458)(1642,4457)(1643,4456)(1644,4455)(1645,4454)(1646,4453)(1647,4452)(1648,4451)(1649,4450)(1650,4449)(1651,4448)(1652,4447)(1653,4446)(1654,4445)(1655,4444)(1656,4443)(1657,4442)(1658,4441)(1659,4440)(1660,4439)(1661,4438)(1662,4437)(1663,4436)(1664,4435)(1665,4434)(1666,4433)(1667,4432)(1668,4431)(1669,4430)(1670,4429)(1671,4428)(1672,4427)(1673,4426)(1674,4425)(1675,4424)(1676,4423)(1677,4422)(1678,4421)(1679,4420)(1680,4419)(1681,4418)(1682,4417)(1683,4416)(1684,4415)(1685,4414)(1686,4413)(1687,4412)(1688,4411)(1689,4410)(1690,4409)(1691,4408)(1692,4407)(1693,4406)(1694,4405)(1695,4404)(1696,4403)(1697,4402)(1698,4401)(1699,4400)(1700,4399)(1701,4398)(1702,4397)(1703,4396)(1704,4395)(1705,4394)(1706,4393)(1707,4392)(1708,4391)(1709,4390)(1710,4389)(1711,4388)(1712,4387)(1713,4386)(1714,4385)(1715,4384)(1716,4383)(1717,4382)(1718,4381)(1719,4380)(1720,4379)(1721,4378)(1722,4377)(1723,4376)(1724,4375)(1725,4374)(1726,4373)(1727,4372)(1728,4371)(1729,4370)(1730,4369)(1731,4368)(1732,4367)(1733,4366)(1734,4365)(1735,4364)(1736,4363)(1737,4362)(1738,4361)(1739,4360)(1740,4359)(1741,4358)(1742,4357)(1743,4356)(1744,4355)(1745,4354)(1746,4353)(1747,4352)(1748,4351)(1749,4350)(1750,4349)(1751,4348)(1752,4347)(1753,4346)(1754,4345)(1755,4344)(1756,4343)(1757,4342)(1758,4341)(1759,4340)(1760,4339)(1761,4338)(1762,4337)(1763,4336)(1764,4335)(1765,4334)(1766,4333)(1767,4332)(1768,4331)(1769,4330)(1770,4329)(1771,4328)(1772,4327)(1773,4326)(1774,4325)(1775,4324)(1776,4323)(1777,4322)(1778,4321)(1779,4320)(1780,4319)(1781,4318)(1782,4317)(1783,4316)(1784,4315)(1785,4314)(1786,4313)(1787,4312)(1788,4311)(1789,4310)(1790,4309)(1791,4308)(1792,4307)(1793,4306)(1794,4305)(1795,4304)(1796,4303)(1797,4302)(1798,4301)(1799,4300)(1800,4299)(1801,4298)(1802,4297)(1803,4296)(1804,4295)(1805,4294)(1806,4293)(1807,4292)(1808,4291)(1809,4290)(1810,4289)(1811,4288)(1812,4287)(1813,4286)(1814,4285)(1815,4284)(1816,4283)(1817,4282)(1818,4281)(1819,4280)(1820,4279)(1821,4278)(1822,4277)(1823,4276)(1824,4275)(1825,4274)(1826,4273)(1827,4272)(1828,4271)(1829,4270)(1830,4269)(1831,4268)(1832,4267)(1833,4266)(1834,4265)(1835,4264)(1836,4263)(1837,4262)(1838,4261)(1839,4260)(1840,4259)(1841,4258)(1842,4257)(1843,4256)(1844,4255)(1845,4254)(1846,4253)(1847,4252)(1848,4251)(1849,4250)(1850,4249)(1851,4248)(1852,4247)(1853,4246)(1854,4245)(1855,4244)(1856,4243)(1857,4242)(1858,4241)(1859,4240)(1860,4239)(1861,4238)(1862,4237)(1863,4236)(1864,4235)(1865,4234)(1866,4233)(1867,4232)(1868,4231)(1869,4230)(1870,4229)(1871,4228)(1872,4227)(1873,4226)(1874,4225)(1875,4224)(1876,4223)(1877,4222)(1878,4221)(1879,4220)(1880,4219)(1881,4218)(1882,4217)(1883,4216)(1884,4215)(1885,4214)(1886,4213)(1887,4212)(1888,4211)(1889,4210)(1890,4209)(1891,4208)(1892,4207)(1893,4206)(1894,4205)(1895,4204)(1896,4203)(1897,4202)(1898,4201)(1899,4200)(1900,4199)(1901,4198)(1902,4197)(1903,4196)(1904,4195)(1905,4194)(1906,4193)(1907,4192)(1908,4191)(1909,4190)(1910,4189)(1911,4188)(1912,4187)(1913,4186)(1914,4185)(1915,4184)(1916,4183)(1917,4182)(1918,4181)(1919,4180)(1920,4179)(1921,4178)(1922,4177)(1923,4176)(1924,4175)(1925,4174)(1926,4173)(1927,4172)(1928,4171)(1929,4170)(1930,4169)(1931,4168)(1932,4167)(1933,4166)(1934,4165)(1935,4164)(1936,4163)(1937,4162)(1938,4161)(1939,4160)(1940,4159)(1941,4158)(1942,4157)(1943,4156)(1944,4155)(1945,4154)(1946,4153)(1947,4152)(1948,4151)(1949,4150)(1950,4149)(1951,4148)(1952,4147)(1953,4146)(1954,4145)(1955,4144)(1956,4143)(1957,4142)(1958,4141)(1959,4140)(1960,4139)(1961,4138)(1962,4137)(1963,4136)(1964,4135)(1965,4134)(1966,4133)(1967,4132)(1968,4131)(1969,4130)(1970,4129)(1971,4128)(1972,4127)(1973,4126)(1974,4125)(1975,4124)(1976,4123)(1977,4122)(1978,4121)(1979,4120)(1980,4119)(1981,4118)(1982,4117)(1983,4116)(1984,4115)(1985,4114)(1986,4113)(1987,4112)(1988,4111)(1989,4110)(1990,4109)(1991,4108)(1992,4107)(1993,4106)(1994,4105)(1995,4104)(1996,4103)(1997,4102)(1998,4101)(1999,4100)(2000,4099)(2001,4098)(2002,4097)(2003,4096)(2004,4095)(2005,4094)(2006,4093)(2007,4092)(2008,4091)(2009,4090)(2010,4089)(2011,4088)(2012,4087)(2013,4086)(2014,4085)(2015,4084)(2016,4083)(2017,4082)(2018,4081)(2019,4080)(2020,4079)(2021,4078)(2022,4077)(2023,4076)(2024,4075)(2025,4074)(2026,4073)(2027,4072)(2028,4071)(2029,4070)(2030,4069)(2031,4068)(2032,4067)(2033,4066)(2034,4065)(2035,4064)(2036,4063)(2037,4062)(2038,4061)(2039,4060)(2040,4059)(2041,4058)(2042,4057)(2043,4056)(2044,4055)(2045,4054)(2046,4053)(2047,4052)(2048,4051)(2049,4050)(2050,4049)(2051,4048)(2052,4047)(2053,4046)(2054,4045)(2055,4044)(2056,4043)(2057,4042)(2058,4041)(2059,4040)(2060,4039)(2061,4038)(2062,4037)(2063,4036)(2064,4035)(2065,4034)(2066,4033)(2067,4032)(2068,4031)(2069,4030)(2070,4029)(2071,4028)(2072,4027)(2073,4026)(2074,4025)(2075,4024)(2076,4023)(2077,4022)(2078,4021)(2079,4020)(2080,4019)(2081,4018)(2082,4017)(2083,4016)(2084,4015)(2085,4014)(2086,4013)(2087,4012)(2088,4011)(2089,4010)(2090,4009)(2091,4008)(2092,4007)(2093,4006)(2094,4005)(2095,4004)(2096,4003)(2097,4002)(2098,4001)(2099,4000)(2100,3999)(2101,3998)(2102,3997)(2103,3996)(2104,3995)(2105,3994)(2106,3993)(2107,3992)(2108,3991)(2109,3990)(2110,3989)(2111,3988)(2112,3987)(2113,3986)(2114,3985)(2115,3984)(2116,3983)(2117,3982)(2118,3981)(2119,3980)(2120,3979)(2121,3978)(2122,3977)(2123,3976)(2124,3975)(2125,3974)(2126,3973)(2127,3972)(2128,3971)(2129,3970)(2130,3969)(2131,3968)(2132,3967)(2133,3966)(2134,3965)(2135,3964)(2136,3963)(2137,3962)(2138,3961)(2139,3960)(2140,3959)(2141,3958)(2142,3957)(2143,3956)(2144,3955)(2145,3954)(2146,3953)(2147,3952)(2148,3951)(2149,3950)(2150,3949)(2151,3948)(2152,3947)(2153,3946)(2154,3945)(2155,3944)(2156,3943)(2157,3942)(2158,3941)(2159,3940)(2160,3939)(2161,3938)(2162,3937)(2163,3936)(2164,3935)(2165,3934)(2166,3933)(2167,3932)(2168,3931)(2169,3930)(2170,3929)(2171,3928)(2172,3927)(2173,3926)(2174,3925)(2175,3924)(2176,3923)(2177,3922)(2178,3921)(2179,3920)(2180,3919)(2181,3918)(2182,3917)(2183,3916)(2184,3915)(2185,3914)(2186,3913)(2187,3912)(2188,3911)(2189,3910)(2190,3909)(2191,3908)(2192,3907)(2193,3906)(2194,3905)(2195,3904)(2196,3903)(2197,3902)(2198,3901)(2199,3900)(2200,3899)(2201,3898)(2202,3897)(2203,3896)(2204,3895)(2205,3894)(2206,3893)(2207,3892)(2208,3891)(2209,3890)(2210,3889)(2211,3888)(2212,3887)(2213,3886)(2214,3885)(2215,3884)(2216,3883)(2217,3882)(2218,3881)(2219,3880)(2220,3879)(2221,3878)(2222,3877)(2223,3876)(2224,3875)(2225,3874)(2226,3873)(2227,3872)(2228,3871)(2229,3870)(2230,3869)(2231,3868)(2232,3867)(2233,3866)(2234,3865)(2235,3864)(2236,3863)(2237,3862)(2238,3861)(2239,3860)(2240,3859)(2241,3858)(2242,3857)(2243,3856)(2244,3855)(2245,3854)(2246,3853)(2247,3852)(2248,3851)(2249,3850)(2250,3849)(2251,3848)(2252,3847)(2253,3846)(2254,3845)(2255,3844)(2256,3843)(2257,3842)(2258,3841)(2259,3840)(2260,3839)(2261,3838)(2262,3837)(2263,3836)(2264,3835)(2265,3834)(2266,3833)(2267,3832)(2268,3831)(2269,3830)(2270,3829)(2271,3828)(2272,3827)(2273,3826)(2274,3825)(2275,3824)(2276,3823)(2277,3822)(2278,3821)(2279,3820)(2280,3819)(2281,3818)(2282,3817)(2283,3816)(2284,3815)(2285,3814)(2286,3813)(2287,3812)(2288,3811)(2289,3810)(2290,3809)(2291,3808)(2292,3807)(2293,3806)(2294,3805)(2295,3804)(2296,3803)(2297,3802)(2298,3801)(2299,3800)(2300,3799)(2301,3798)(2302,3797)(2303,3796)(2304,3795)(2305,3794)(2306,3793)(2307,3792)(2308,3791)(2309,3790)(2310,3789)(2311,3788)(2312,3787)(2313,3786)(2314,3785)(2315,3784)(2316,3783)(2317,3782)(2318,3781)(2319,3780)(2320,3779)(2321,3778)(2322,3777)(2323,3776)(2324,3775)(2325,3774)(2326,3773)(2327,3772)(2328,3771)(2329,3770)(2330,3769)(2331,3768)(2332,3767)(2333,3766)(2334,3765)(2335,3764)(2336,3763)(2337,3762)(2338,3761)(2339,3760)(2340,3759)(2341,3758)(2342,3757)(2343,3756)(2344,3755)(2345,3754)(2346,3753)(2347,3752)(2348,3751)(2349,3750)(2350,3749)(2351,3748)(2352,3747)(2353,3746)(2354,3745)(2355,3744)(2356,3743)(2357,3742)(2358,3741)(2359,3740)(2360,3739)(2361,3738)(2362,3737)(2363,3736)(2364,3735)(2365,3734)(2366,3733)(2367,3732)(2368,3731)(2369,3730)(2370,3729)(2371,3728)(2372,3727)(2373,3726)(2374,3725)(2375,3724)(2376,3723)(2377,3722)(2378,3721)(2379,3720)(2380,3719)(2381,3718)(2382,3717)(2383,3716)(2384,3715)(2385,3714)(2386,3713)(2387,3712)(2388,3711)(2389,3710)(2390,3709)(2391,3708)(2392,3707)(2393,3706)(2394,3705)(2395,3704)(2396,3703)(2397,3702)(2398,3701)(2399,3700)(2400,3699)(2401,3698)(2402,3697)(2403,3696)(2404,3695)(2405,3694)(2406,3693)(2407,3692)(2408,3691)(2409,3690)(2410,3689)(2411,3688)(2412,3687)(2413,3686)(2414,3685)(2415,3684)(2416,3683)(2417,3682)(2418,3681)(2419,3680)(2420,3679)(2421,3678)(2422,3677)(2423,3676)(2424,3675)(2425,3674)(2426,3673)(2427,3672)(2428,3671)(2429,3670)(2430,3669)(2431,3668)(2432,3667)(2433,3666)(2434,3665)(2435,3664)(2436,3663)(2437,3662)(2438,3661)(2439,3660)(2440,3659)(2441,3658)(2442,3657)(2443,3656)(2444,3655)(2445,3654)(2446,3653)(2447,3652)(2448,3651)(2449,3650)(2450,3649)(2451,3648)(2452,3647)(2453,3646)(2454,3645)(2455,3644)(2456,3643)(2457,3642)(2458,3641)(2459,3640)(2460,3639)(2461,3638)(2462,3637)(2463,3636)(2464,3635)(2465,3634)(2466,3633)(2467,3632)(2468,3631)(2469,3630)(2470,3629)(2471,3628)(2472,3627)(2473,3626)(2474,3625)(2475,3624)(2476,3623)(2477,3622)(2478,3621)(2479,3620)(2480,3619)(2481,3618)(2482,3617)(2483,3616)(2484,3615)(2485,3614)(2486,3613)(2487,3612)(2488,3611)(2489,3610)(2490,3609)(2491,3608)(2492,3607)(2493,3606)(2494,3605)(2495,3604)(2496,3603)(2497,3602)(2498,3601)(2499,3600)(2500,3599)(2501,3598)(2502,3597)(2503,3596)(2504,3595)(2505,3594)(2506,3593)(2507,3592)(2508,3591)(2509,3590)(2510,3589)(2511,3588)(2512,3587)(2513,3586)(2514,3585)(2515,3584)(2516,3583)(2517,3582)(2518,3581)(2519,3580)(2520,3579)(2521,3578)(2522,3577)(2523,3576)(2524,3575)(2525,3574)(2526,3573)(2527,3572)(2528,3571)(2529,3570)(2530,3569)(2531,3568)(2532,3567)(2533,3566)(2534,3565)(2535,3564)(2536,3563)(2537,3562)(2538,3561)(2539,3560)(2540,3559)(2541,3558)(2542,3557)(2543,3556)(2544,3555)(2545,3554)(2546,3553)(2547,3552)(2548,3551)(2549,3550)(2550,3549)(2551,3548)(2552,3547)(2553,3546)(2554,3545)(2555,3544)(2556,3543)(2557,3542)(2558,3541)(2559,3540)(2560,3539)(2561,3538)(2562,3537)(2563,3536)(2564,3535)(2565,3534)(2566,3533)(2567,3532)(2568,3531)(2569,3530)(2570,3529)(2571,3528)(2572,3527)(2573,3526)(2574,3525)(2575,3524)(2576,3523)(2577,3522)(2578,3521)(2579,3520)(2580,3519)(2581,3518)(2582,3517)(2583,3516)(2584,3515)(2585,3514)(2586,3513)(2587,3512)(2588,3511)(2589,3510)(2590,3509)(2591,3508)(2592,3507)(2593,3506)(2594,3505)(2595,3504)(2596,3503)(2597,3502)(2598,3501)(2599,3500)(2600,3499)(2601,3498)(2602,3497)(2603,3496)(2604,3495)(2605,3494)(2606,3493)(2607,3492)(2608,3491)(2609,3490)(2610,3489)(2611,3488)(2612,3487)(2613,3486)(2614,3485)(2615,3484)(2616,3483)(2617,3482)(2618,3481)(2619,3480)(2620,3479)(2621,3478)(2622,3477)(2623,3476)(2624,3475)(2625,3474)(2626,3473)(2627,3472)(2628,3471)(2629,3470)(2630,3469)(2631,3468)(2632,3467)(2633,3466)(2634,3465)(2635,3464)(2636,3463)(2637,3462)(2638,3461)(2639,3460)(2640,3459)(2641,3458)(2642,3457)(2643,3456)(2644,3455)(2645,3454)(2646,3453)(2647,3452)(2648,3451)(2649,3450)(2650,3449)(2651,3448)(2652,3447)(2653,3446)(2654,3445)(2655,3444)(2656,3443)(2657,3442)(2658,3441)(2659,3440)(2660,3439)(2661,3438)(2662,3437)(2663,3436)(2664,3435)(2665,3434)(2666,3433)(2667,3432)(2668,3431)(2669,3430)(2670,3429)(2671,3428)(2672,3427)(2673,3426)(2674,3425)(2675,3424)(2676,3423)(2677,3422)(2678,3421)(2679,3420)(2680,3419)(2681,3418)(2682,3417)(2683,3416)(2684,3415)(2685,3414)(2686,3413)(2687,3412)(2688,3411)(2689,3410)(2690,3409)(2691,3408)(2692,3407)(2693,3406)(2694,3405)(2695,3404)(2696,3403)(2697,3402)(2698,3401)(2699,3400)(2700,3399)(2701,3398)(2702,3397)(2703,3396)(2704,3395)(2705,3394)(2706,3393)(2707,3392)(2708,3391)(2709,3390)(2710,3389)(2711,3388)(2712,3387)(2713,3386)(2714,3385)(2715,3384)(2716,3383)(2717,3382)(2718,3381)(2719,3380)(2720,3379)(2721,3378)(2722,3377)(2723,3376)(2724,3375)(2725,3374)(2726,3373)(2727,3372)(2728,3371)(2729,3370)(2730,3369)(2731,3368)(2732,3367)(2733,3366)(2734,3365)(2735,3364)(2736,3363)(2737,3362)(2738,3361)(2739,3360)(2740,3359)(2741,3358)(2742,3357)(2743,3356)(2744,3355)(2745,3354)(2746,3353)(2747,3352)(2748,3351)(2749,3350)(2750,3349)(2751,3348)(2752,3347)(2753,3346)(2754,3345)(2755,3344)(2756,3343)(2757,3342)(2758,3341)(2759,3340)(2760,3339)(2761,3338)(2762,3337)(2763,3336)(2764,3335)(2765,3334)(2766,3333)(2767,3332)(2768,3331)(2769,3330)(2770,3329)(2771,3328)(2772,3327)(2773,3326)(2774,3325)(2775,3324)(2776,3323)(2777,3322)(2778,3321)(2779,3320)(2780,3319)(2781,3318)(2782,3317)(2783,3316)(2784,3315)(2785,3314)(2786,3313)(2787,3312)(2788,3311)(2789,3310)(2790,3309)(2791,3308)(2792,3307)(2793,3306)(2794,3305)(2795,3304)(2796,3303)(2797,3302)(2798,3301)(2799,3300)(2800,3299)(2801,3298)(2802,3297)(2803,3296)(2804,3295)(2805,3294)(2806,3293)(2807,3292)(2808,3291)(2809,3290)(2810,3289)(2811,3288)(2812,3287)(2813,3286)(2814,3285)(2815,3284)(2816,3283)(2817,3282)(2818,3281)(2819,3280)(2820,3279)(2821,3278)(2822,3277)(2823,3276)(2824,3275)(2825,3274)(2826,3273)(2827,3272)(2828,3271)(2829,3270)(2830,3269)(2831,3268)(2832,3267)(2833,3266)(2834,3265)(2835,3264)(2836,3263)(2837,3262)(2838,3261)(2839,3260)(2840,3259)(2841,3258)(2842,3257)(2843,3256)(2844,3255)(2845,3254)(2846,3253)(2847,3252)(2848,3251)(2849,3250)(2850,3249)(2851,3248)(2852,3247)(2853,3246)(2854,3245)(2855,3244)(2856,3243)(2857,3242)(2858,3241)(2859,3240)(2860,3239)(2861,3238)(2862,3237)(2863,3236)(2864,3235)(2865,3234)(2866,3233)(2867,3232)(2868,3231)(2869,3230)(2870,3229)(2871,3228)(2872,3227)(2873,3226)(2874,3225)(2875,3224)(2876,3223)(2877,3222)(2878,3221)(2879,3220)(2880,3219)(2881,3218)(2882,3217)(2883,3216)(2884,3215)(2885,3214)(2886,3213)(2887,3212)(2888,3211)(2889,3210)(2890,3209)(2891,3208)(2892,3207)(2893,3206)(2894,3205)(2895,3204)(2896,3203)(2897,3202)(2898,3201)(2899,3200)(2900,3199)(2901,3198)(2902,3197)(2903,3196)(2904,3195)(2905,3194)(2906,3193)(2907,3192)(2908,3191)(2909,3190)(2910,3189)(2911,3188)(2912,3187)(2913,3186)(2914,3185)(2915,3184)(2916,3183)(2917,3182)(2918,3181)(2919,3180)(2920,3179)(2921,3178)(2922,3177)(2923,3176)(2924,3175)(2925,3174)(2926,3173)(2927,3172)(2928,3171)(2929,3170)(2930,3169)(2931,3168)(2932,3167)(2933,3166)(2934,3165)(2935,3164)(2936,3163)(2937,3162)(2938,3161)(2939,3160)(2940,3159)(2941,3158)(2942,3157)(2943,3156)(2944,3155)(2945,3154)(2946,3153)(2947,3152)(2948,3151)(2949,3150)(2950,3149)(2951,3148)(2952,3147)(2953,3146)(2954,3145)(2955,3144)(2956,3143)(2957,3142)(2958,3141)(2959,3140)(2960,3139)(2961,3138)(2962,3137)(2963,3136)(2964,3135)(2965,3134)(2966,3133)(2967,3132)(2968,3131)(2969,3130)(2970,3129)(2971,3128)(2972,3127)(2973,3126)(2974,3125)(2975,3124)(2976,3123)(2977,3122)(2978,3121)(2979,3120)(2980,3119)(2981,3118)(2982,3117)(2983,3116)(2984,3115)(2985,3114)(2986,3113)(2987,3112)(2988,3111)(2989,3110)(2990,3109)(2991,3108)(2992,3107)(2993,3106)(2994,3105)(2995,3104)(2996,3103)(2997,3102)(2998,3101)(2999,3100)(3000,3099)(3001,3098)(3002,3097)(3003,3096)(3004,3095)(3005,3094)(3006,3093)(3007,3092)(3008,3091)(3009,3090)(3010,3089)(3011,3088)(3012,3087)(3013,3086)(3014,3085)(3015,3084)(3016,3083)(3017,3082)(3018,3081)(3019,3080)(3020,3079)(3021,3078)(3022,3077)(3023,3076)(3024,3075)(3025,3074)(3026,3073)(3027,3072)(3028,3071)(3029,3070)(3030,3069)(3031,3068)(3032,3067)(3033,3066)(3034,3065)(3035,3064)(3036,3063)(3037,3062)(3038,3061)(3039,3060)(3040,3059)(3041,3058)(3042,3057)(3043,3056)(3044,3055)(3045,3054)(3046,3053)(3047,3052)(3048,3051)(3049,3050)Polycyclic presentation:
2^2,6089|a^2=b,c^a=c^60886092 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(24356, 1);