Finite Group DatabasebetaFinite Group Databasebeta| order | 21884 |
| automorphism | ? |
| homology | Abelianization (H1) = C4 · Schur multiplier (H2) = C1 |
| dicyclic | Dic5471 |
| unambiguous semidirect product | C5471⋊C4 |
| derived, Sylow | C5471 ⋊ C4 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C2 | D5471 |
| commutator, hypocenter | C5471 | C4 |
| Fitting, socle, prime radical, cosocle | C2×C5471 | C2 |
| LCS | G ▷ C5471 | |
| UCS | C1 ◁ C2 | |
6 conjugacy classes of subgroups.
| minimal degree | μ(G) = 5475 |
| transitive degree | μt(G) = 21884 |
A minimal faithful permutation representation — 2 generators on 5475 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);(1,3,2,4)(6,5475)(7,5474)(8,5473)(9,5472)(10,5471)(11,5470)(12,5469)(13,5468)(14,5467)(15,5466)(16,5465)(17,5464)(18,5463)(19,5462)(20,5461)(21,5460)(22,5459)(23,5458)(24,5457)(25,5456)(26,5455)(27,5454)(28,5453)(29,5452)(30,5451)(31,5450)(32,5449)(33,5448)(34,5447)(35,5446)(36,5445)(37,5444)(38,5443)(39,5442)(40,5441)(41,5440)(42,5439)(43,5438)(44,5437)(45,5436)(46,5435)(47,5434)(48,5433)(49,5432)(50,5431)(51,5430)(52,5429)(53,5428)(54,5427)(55,5426)(56,5425)(57,5424)(58,5423)(59,5422)(60,5421)(61,5420)(62,5419)(63,5418)(64,5417)(65,5416)(66,5415)(67,5414)(68,5413)(69,5412)(70,5411)(71,5410)(72,5409)(73,5408)(74,5407)(75,5406)(76,5405)(77,5404)(78,5403)(79,5402)(80,5401)(81,5400)(82,5399)(83,5398)(84,5397)(85,5396)(86,5395)(87,5394)(88,5393)(89,5392)(90,5391)(91,5390)(92,5389)(93,5388)(94,5387)(95,5386)(96,5385)(97,5384)(98,5383)(99,5382)(100,5381)(101,5380)(102,5379)(103,5378)(104,5377)(105,5376)(106,5375)(107,5374)(108,5373)(109,5372)(110,5371)(111,5370)(112,5369)(113,5368)(114,5367)(115,5366)(116,5365)(117,5364)(118,5363)(119,5362)(120,5361)(121,5360)(122,5359)(123,5358)(124,5357)(125,5356)(126,5355)(127,5354)(128,5353)(129,5352)(130,5351)(131,5350)(132,5349)(133,5348)(134,5347)(135,5346)(136,5345)(137,5344)(138,5343)(139,5342)(140,5341)(141,5340)(142,5339)(143,5338)(144,5337)(145,5336)(146,5335)(147,5334)(148,5333)(149,5332)(150,5331)(151,5330)(152,5329)(153,5328)(154,5327)(155,5326)(156,5325)(157,5324)(158,5323)(159,5322)(160,5321)(161,5320)(162,5319)(163,5318)(164,5317)(165,5316)(166,5315)(167,5314)(168,5313)(169,5312)(170,5311)(171,5310)(172,5309)(173,5308)(174,5307)(175,5306)(176,5305)(177,5304)(178,5303)(179,5302)(180,5301)(181,5300)(182,5299)(183,5298)(184,5297)(185,5296)(186,5295)(187,5294)(188,5293)(189,5292)(190,5291)(191,5290)(192,5289)(193,5288)(194,5287)(195,5286)(196,5285)(197,5284)(198,5283)(199,5282)(200,5281)(201,5280)(202,5279)(203,5278)(204,5277)(205,5276)(206,5275)(207,5274)(208,5273)(209,5272)(210,5271)(211,5270)(212,5269)(213,5268)(214,5267)(215,5266)(216,5265)(217,5264)(218,5263)(219,5262)(220,5261)(221,5260)(222,5259)(223,5258)(224,5257)(225,5256)(226,5255)(227,5254)(228,5253)(229,5252)(230,5251)(231,5250)(232,5249)(233,5248)(234,5247)(235,5246)(236,5245)(237,5244)(238,5243)(239,5242)(240,5241)(241,5240)(242,5239)(243,5238)(244,5237)(245,5236)(246,5235)(247,5234)(248,5233)(249,5232)(250,5231)(251,5230)(252,5229)(253,5228)(254,5227)(255,5226)(256,5225)(257,5224)(258,5223)(259,5222)(260,5221)(261,5220)(262,5219)(263,5218)(264,5217)(265,5216)(266,5215)(267,5214)(268,5213)(269,5212)(270,5211)(271,5210)(272,5209)(273,5208)(274,5207)(275,5206)(276,5205)(277,5204)(278,5203)(279,5202)(280,5201)(281,5200)(282,5199)(283,5198)(284,5197)(285,5196)(286,5195)(287,5194)(288,5193)(289,5192)(290,5191)(291,5190)(292,5189)(293,5188)(294,5187)(295,5186)(296,5185)(297,5184)(298,5183)(299,5182)(300,5181)(301,5180)(302,5179)(303,5178)(304,5177)(305,5176)(306,5175)(307,5174)(308,5173)(309,5172)(310,5171)(311,5170)(312,5169)(313,5168)(314,5167)(315,5166)(316,5165)(317,5164)(318,5163)(319,5162)(320,5161)(321,5160)(322,5159)(323,5158)(324,5157)(325,5156)(326,5155)(327,5154)(328,5153)(329,5152)(330,5151)(331,5150)(332,5149)(333,5148)(334,5147)(335,5146)(336,5145)(337,5144)(338,5143)(339,5142)(340,5141)(341,5140)(342,5139)(343,5138)(344,5137)(345,5136)(346,5135)(347,5134)(348,5133)(349,5132)(350,5131)(351,5130)(352,5129)(353,5128)(354,5127)(355,5126)(356,5125)(357,5124)(358,5123)(359,5122)(360,5121)(361,5120)(362,5119)(363,5118)(364,5117)(365,5116)(366,5115)(367,5114)(368,5113)(369,5112)(370,5111)(371,5110)(372,5109)(373,5108)(374,5107)(375,5106)(376,5105)(377,5104)(378,5103)(379,5102)(380,5101)(381,5100)(382,5099)(383,5098)(384,5097)(385,5096)(386,5095)(387,5094)(388,5093)(389,5092)(390,5091)(391,5090)(392,5089)(393,5088)(394,5087)(395,5086)(396,5085)(397,5084)(398,5083)(399,5082)(400,5081)(401,5080)(402,5079)(403,5078)(404,5077)(405,5076)(406,5075)(407,5074)(408,5073)(409,5072)(410,5071)(411,5070)(412,5069)(413,5068)(414,5067)(415,5066)(416,5065)(417,5064)(418,5063)(419,5062)(420,5061)(421,5060)(422,5059)(423,5058)(424,5057)(425,5056)(426,5055)(427,5054)(428,5053)(429,5052)(430,5051)(431,5050)(432,5049)(433,5048)(434,5047)(435,5046)(436,5045)(437,5044)(438,5043)(439,5042)(440,5041)(441,5040)(442,5039)(443,5038)(444,5037)(445,5036)(446,5035)(447,5034)(448,5033)(449,5032)(450,5031)(451,5030)(452,5029)(453,5028)(454,5027)(455,5026)(456,5025)(457,5024)(458,5023)(459,5022)(460,5021)(461,5020)(462,5019)(463,5018)(464,5017)(465,5016)(466,5015)(467,5014)(468,5013)(469,5012)(470,5011)(471,5010)(472,5009)(473,5008)(474,5007)(475,5006)(476,5005)(477,5004)(478,5003)(479,5002)(480,5001)(481,5000)(482,4999)(483,4998)(484,4997)(485,4996)(486,4995)(487,4994)(488,4993)(489,4992)(490,4991)(491,4990)(492,4989)(493,4988)(494,4987)(495,4986)(496,4985)(497,4984)(498,4983)(499,4982)(500,4981)(501,4980)(502,4979)(503,4978)(504,4977)(505,4976)(506,4975)(507,4974)(508,4973)(509,4972)(510,4971)(511,4970)(512,4969)(513,4968)(514,4967)(515,4966)(516,4965)(517,4964)(518,4963)(519,4962)(520,4961)(521,4960)(522,4959)(523,4958)(524,4957)(525,4956)(526,4955)(527,4954)(528,4953)(529,4952)(530,4951)(531,4950)(532,4949)(533,4948)(534,4947)(535,4946)(536,4945)(537,4944)(538,4943)(539,4942)(540,4941)(541,4940)(542,4939)(543,4938)(544,4937)(545,4936)(546,4935)(547,4934)(548,4933)(549,4932)(550,4931)(551,4930)(552,4929)(553,4928)(554,4927)(555,4926)(556,4925)(557,4924)(558,4923)(559,4922)(560,4921)(561,4920)(562,4919)(563,4918)(564,4917)(565,4916)(566,4915)(567,4914)(568,4913)(569,4912)(570,4911)(571,4910)(572,4909)(573,4908)(574,4907)(575,4906)(576,4905)(577,4904)(578,4903)(579,4902)(580,4901)(581,4900)(582,4899)(583,4898)(584,4897)(585,4896)(586,4895)(587,4894)(588,4893)(589,4892)(590,4891)(591,4890)(592,4889)(593,4888)(594,4887)(595,4886)(596,4885)(597,4884)(598,4883)(599,4882)(600,4881)(601,4880)(602,4879)(603,4878)(604,4877)(605,4876)(606,4875)(607,4874)(608,4873)(609,4872)(610,4871)(611,4870)(612,4869)(613,4868)(614,4867)(615,4866)(616,4865)(617,4864)(618,4863)(619,4862)(620,4861)(621,4860)(622,4859)(623,4858)(624,4857)(625,4856)(626,4855)(627,4854)(628,4853)(629,4852)(630,4851)(631,4850)(632,4849)(633,4848)(634,4847)(635,4846)(636,4845)(637,4844)(638,4843)(639,4842)(640,4841)(641,4840)(642,4839)(643,4838)(644,4837)(645,4836)(646,4835)(647,4834)(648,4833)(649,4832)(650,4831)(651,4830)(652,4829)(653,4828)(654,4827)(655,4826)(656,4825)(657,4824)(658,4823)(659,4822)(660,4821)(661,4820)(662,4819)(663,4818)(664,4817)(665,4816)(666,4815)(667,4814)(668,4813)(669,4812)(670,4811)(671,4810)(672,4809)(673,4808)(674,4807)(675,4806)(676,4805)(677,4804)(678,4803)(679,4802)(680,4801)(681,4800)(682,4799)(683,4798)(684,4797)(685,4796)(686,4795)(687,4794)(688,4793)(689,4792)(690,4791)(691,4790)(692,4789)(693,4788)(694,4787)(695,4786)(696,4785)(697,4784)(698,4783)(699,4782)(700,4781)(701,4780)(702,4779)(703,4778)(704,4777)(705,4776)(706,4775)(707,4774)(708,4773)(709,4772)(710,4771)(711,4770)(712,4769)(713,4768)(714,4767)(715,4766)(716,4765)(717,4764)(718,4763)(719,4762)(720,4761)(721,4760)(722,4759)(723,4758)(724,4757)(725,4756)(726,4755)(727,4754)(728,4753)(729,4752)(730,4751)(731,4750)(732,4749)(733,4748)(734,4747)(735,4746)(736,4745)(737,4744)(738,4743)(739,4742)(740,4741)(741,4740)(742,4739)(743,4738)(744,4737)(745,4736)(746,4735)(747,4734)(748,4733)(749,4732)(750,4731)(751,4730)(752,4729)(753,4728)(754,4727)(755,4726)(756,4725)(757,4724)(758,4723)(759,4722)(760,4721)(761,4720)(762,4719)(763,4718)(764,4717)(765,4716)(766,4715)(767,4714)(768,4713)(769,4712)(770,4711)(771,4710)(772,4709)(773,4708)(774,4707)(775,4706)(776,4705)(777,4704)(778,4703)(779,4702)(780,4701)(781,4700)(782,4699)(783,4698)(784,4697)(785,4696)(786,4695)(787,4694)(788,4693)(789,4692)(790,4691)(791,4690)(792,4689)(793,4688)(794,4687)(795,4686)(796,4685)(797,4684)(798,4683)(799,4682)(800,4681)(801,4680)(802,4679)(803,4678)(804,4677)(805,4676)(806,4675)(807,4674)(808,4673)(809,4672)(810,4671)(811,4670)(812,4669)(813,4668)(814,4667)(815,4666)(816,4665)(817,4664)(818,4663)(819,4662)(820,4661)(821,4660)(822,4659)(823,4658)(824,4657)(825,4656)(826,4655)(827,4654)(828,4653)(829,4652)(830,4651)(831,4650)(832,4649)(833,4648)(834,4647)(835,4646)(836,4645)(837,4644)(838,4643)(839,4642)(840,4641)(841,4640)(842,4639)(843,4638)(844,4637)(845,4636)(846,4635)(847,4634)(848,4633)(849,4632)(850,4631)(851,4630)(852,4629)(853,4628)(854,4627)(855,4626)(856,4625)(857,4624)(858,4623)(859,4622)(860,4621)(861,4620)(862,4619)(863,4618)(864,4617)(865,4616)(866,4615)(867,4614)(868,4613)(869,4612)(870,4611)(871,4610)(872,4609)(873,4608)(874,4607)(875,4606)(876,4605)(877,4604)(878,4603)(879,4602)(880,4601)(881,4600)(882,4599)(883,4598)(884,4597)(885,4596)(886,4595)(887,4594)(888,4593)(889,4592)(890,4591)(891,4590)(892,4589)(893,4588)(894,4587)(895,4586)(896,4585)(897,4584)(898,4583)(899,4582)(900,4581)(901,4580)(902,4579)(903,4578)(904,4577)(905,4576)(906,4575)(907,4574)(908,4573)(909,4572)(910,4571)(911,4570)(912,4569)(913,4568)(914,4567)(915,4566)(916,4565)(917,4564)(918,4563)(919,4562)(920,4561)(921,4560)(922,4559)(923,4558)(924,4557)(925,4556)(926,4555)(927,4554)(928,4553)(929,4552)(930,4551)(931,4550)(932,4549)(933,4548)(934,4547)(935,4546)(936,4545)(937,4544)(938,4543)(939,4542)(940,4541)(941,4540)(942,4539)(943,4538)(944,4537)(945,4536)(946,4535)(947,4534)(948,4533)(949,4532)(950,4531)(951,4530)(952,4529)(953,4528)(954,4527)(955,4526)(956,4525)(957,4524)(958,4523)(959,4522)(960,4521)(961,4520)(962,4519)(963,4518)(964,4517)(965,4516)(966,4515)(967,4514)(968,4513)(969,4512)(970,4511)(971,4510)(972,4509)(973,4508)(974,4507)(975,4506)(976,4505)(977,4504)(978,4503)(979,4502)(980,4501)(981,4500)(982,4499)(983,4498)(984,4497)(985,4496)(986,4495)(987,4494)(988,4493)(989,4492)(990,4491)(991,4490)(992,4489)(993,4488)(994,4487)(995,4486)(996,4485)(997,4484)(998,4483)(999,4482)(1000,4481)(1001,4480)(1002,4479)(1003,4478)(1004,4477)(1005,4476)(1006,4475)(1007,4474)(1008,4473)(1009,4472)(1010,4471)(1011,4470)(1012,4469)(1013,4468)(1014,4467)(1015,4466)(1016,4465)(1017,4464)(1018,4463)(1019,4462)(1020,4461)(1021,4460)(1022,4459)(1023,4458)(1024,4457)(1025,4456)(1026,4455)(1027,4454)(1028,4453)(1029,4452)(1030,4451)(1031,4450)(1032,4449)(1033,4448)(1034,4447)(1035,4446)(1036,4445)(1037,4444)(1038,4443)(1039,4442)(1040,4441)(1041,4440)(1042,4439)(1043,4438)(1044,4437)(1045,4436)(1046,4435)(1047,4434)(1048,4433)(1049,4432)(1050,4431)(1051,4430)(1052,4429)(1053,4428)(1054,4427)(1055,4426)(1056,4425)(1057,4424)(1058,4423)(1059,4422)(1060,4421)(1061,4420)(1062,4419)(1063,4418)(1064,4417)(1065,4416)(1066,4415)(1067,4414)(1068,4413)(1069,4412)(1070,4411)(1071,4410)(1072,4409)(1073,4408)(1074,4407)(1075,4406)(1076,4405)(1077,4404)(1078,4403)(1079,4402)(1080,4401)(1081,4400)(1082,4399)(1083,4398)(1084,4397)(1085,4396)(1086,4395)(1087,4394)(1088,4393)(1089,4392)(1090,4391)(1091,4390)(1092,4389)(1093,4388)(1094,4387)(1095,4386)(1096,4385)(1097,4384)(1098,4383)(1099,4382)(1100,4381)(1101,4380)(1102,4379)(1103,4378)(1104,4377)(1105,4376)(1106,4375)(1107,4374)(1108,4373)(1109,4372)(1110,4371)(1111,4370)(1112,4369)(1113,4368)(1114,4367)(1115,4366)(1116,4365)(1117,4364)(1118,4363)(1119,4362)(1120,4361)(1121,4360)(1122,4359)(1123,4358)(1124,4357)(1125,4356)(1126,4355)(1127,4354)(1128,4353)(1129,4352)(1130,4351)(1131,4350)(1132,4349)(1133,4348)(1134,4347)(1135,4346)(1136,4345)(1137,4344)(1138,4343)(1139,4342)(1140,4341)(1141,4340)(1142,4339)(1143,4338)(1144,4337)(1145,4336)(1146,4335)(1147,4334)(1148,4333)(1149,4332)(1150,4331)(1151,4330)(1152,4329)(1153,4328)(1154,4327)(1155,4326)(1156,4325)(1157,4324)(1158,4323)(1159,4322)(1160,4321)(1161,4320)(1162,4319)(1163,4318)(1164,4317)(1165,4316)(1166,4315)(1167,4314)(1168,4313)(1169,4312)(1170,4311)(1171,4310)(1172,4309)(1173,4308)(1174,4307)(1175,4306)(1176,4305)(1177,4304)(1178,4303)(1179,4302)(1180,4301)(1181,4300)(1182,4299)(1183,4298)(1184,4297)(1185,4296)(1186,4295)(1187,4294)(1188,4293)(1189,4292)(1190,4291)(1191,4290)(1192,4289)(1193,4288)(1194,4287)(1195,4286)(1196,4285)(1197,4284)(1198,4283)(1199,4282)(1200,4281)(1201,4280)(1202,4279)(1203,4278)(1204,4277)(1205,4276)(1206,4275)(1207,4274)(1208,4273)(1209,4272)(1210,4271)(1211,4270)(1212,4269)(1213,4268)(1214,4267)(1215,4266)(1216,4265)(1217,4264)(1218,4263)(1219,4262)(1220,4261)(1221,4260)(1222,4259)(1223,4258)(1224,4257)(1225,4256)(1226,4255)(1227,4254)(1228,4253)(1229,4252)(1230,4251)(1231,4250)(1232,4249)(1233,4248)(1234,4247)(1235,4246)(1236,4245)(1237,4244)(1238,4243)(1239,4242)(1240,4241)(1241,4240)(1242,4239)(1243,4238)(1244,4237)(1245,4236)(1246,4235)(1247,4234)(1248,4233)(1249,4232)(1250,4231)(1251,4230)(1252,4229)(1253,4228)(1254,4227)(1255,4226)(1256,4225)(1257,4224)(1258,4223)(1259,4222)(1260,4221)(1261,4220)(1262,4219)(1263,4218)(1264,4217)(1265,4216)(1266,4215)(1267,4214)(1268,4213)(1269,4212)(1270,4211)(1271,4210)(1272,4209)(1273,4208)(1274,4207)(1275,4206)(1276,4205)(1277,4204)(1278,4203)(1279,4202)(1280,4201)(1281,4200)(1282,4199)(1283,4198)(1284,4197)(1285,4196)(1286,4195)(1287,4194)(1288,4193)(1289,4192)(1290,4191)(1291,4190)(1292,4189)(1293,4188)(1294,4187)(1295,4186)(1296,4185)(1297,4184)(1298,4183)(1299,4182)(1300,4181)(1301,4180)(1302,4179)(1303,4178)(1304,4177)(1305,4176)(1306,4175)(1307,4174)(1308,4173)(1309,4172)(1310,4171)(1311,4170)(1312,4169)(1313,4168)(1314,4167)(1315,4166)(1316,4165)(1317,4164)(1318,4163)(1319,4162)(1320,4161)(1321,4160)(1322,4159)(1323,4158)(1324,4157)(1325,4156)(1326,4155)(1327,4154)(1328,4153)(1329,4152)(1330,4151)(1331,4150)(1332,4149)(1333,4148)(1334,4147)(1335,4146)(1336,4145)(1337,4144)(1338,4143)(1339,4142)(1340,4141)(1341,4140)(1342,4139)(1343,4138)(1344,4137)(1345,4136)(1346,4135)(1347,4134)(1348,4133)(1349,4132)(1350,4131)(1351,4130)(1352,4129)(1353,4128)(1354,4127)(1355,4126)(1356,4125)(1357,4124)(1358,4123)(1359,4122)(1360,4121)(1361,4120)(1362,4119)(1363,4118)(1364,4117)(1365,4116)(1366,4115)(1367,4114)(1368,4113)(1369,4112)(1370,4111)(1371,4110)(1372,4109)(1373,4108)(1374,4107)(1375,4106)(1376,4105)(1377,4104)(1378,4103)(1379,4102)(1380,4101)(1381,4100)(1382,4099)(1383,4098)(1384,4097)(1385,4096)(1386,4095)(1387,4094)(1388,4093)(1389,4092)(1390,4091)(1391,4090)(1392,4089)(1393,4088)(1394,4087)(1395,4086)(1396,4085)(1397,4084)(1398,4083)(1399,4082)(1400,4081)(1401,4080)(1402,4079)(1403,4078)(1404,4077)(1405,4076)(1406,4075)(1407,4074)(1408,4073)(1409,4072)(1410,4071)(1411,4070)(1412,4069)(1413,4068)(1414,4067)(1415,4066)(1416,4065)(1417,4064)(1418,4063)(1419,4062)(1420,4061)(1421,4060)(1422,4059)(1423,4058)(1424,4057)(1425,4056)(1426,4055)(1427,4054)(1428,4053)(1429,4052)(1430,4051)(1431,4050)(1432,4049)(1433,4048)(1434,4047)(1435,4046)(1436,4045)(1437,4044)(1438,4043)(1439,4042)(1440,4041)(1441,4040)(1442,4039)(1443,4038)(1444,4037)(1445,4036)(1446,4035)(1447,4034)(1448,4033)(1449,4032)(1450,4031)(1451,4030)(1452,4029)(1453,4028)(1454,4027)(1455,4026)(1456,4025)(1457,4024)(1458,4023)(1459,4022)(1460,4021)(1461,4020)(1462,4019)(1463,4018)(1464,4017)(1465,4016)(1466,4015)(1467,4014)(1468,4013)(1469,4012)(1470,4011)(1471,4010)(1472,4009)(1473,4008)(1474,4007)(1475,4006)(1476,4005)(1477,4004)(1478,4003)(1479,4002)(1480,4001)(1481,4000)(1482,3999)(1483,3998)(1484,3997)(1485,3996)(1486,3995)(1487,3994)(1488,3993)(1489,3992)(1490,3991)(1491,3990)(1492,3989)(1493,3988)(1494,3987)(1495,3986)(1496,3985)(1497,3984)(1498,3983)(1499,3982)(1500,3981)(1501,3980)(1502,3979)(1503,3978)(1504,3977)(1505,3976)(1506,3975)(1507,3974)(1508,3973)(1509,3972)(1510,3971)(1511,3970)(1512,3969)(1513,3968)(1514,3967)(1515,3966)(1516,3965)(1517,3964)(1518,3963)(1519,3962)(1520,3961)(1521,3960)(1522,3959)(1523,3958)(1524,3957)(1525,3956)(1526,3955)(1527,3954)(1528,3953)(1529,3952)(1530,3951)(1531,3950)(1532,3949)(1533,3948)(1534,3947)(1535,3946)(1536,3945)(1537,3944)(1538,3943)(1539,3942)(1540,3941)(1541,3940)(1542,3939)(1543,3938)(1544,3937)(1545,3936)(1546,3935)(1547,3934)(1548,3933)(1549,3932)(1550,3931)(1551,3930)(1552,3929)(1553,3928)(1554,3927)(1555,3926)(1556,3925)(1557,3924)(1558,3923)(1559,3922)(1560,3921)(1561,3920)(1562,3919)(1563,3918)(1564,3917)(1565,3916)(1566,3915)(1567,3914)(1568,3913)(1569,3912)(1570,3911)(1571,3910)(1572,3909)(1573,3908)(1574,3907)(1575,3906)(1576,3905)(1577,3904)(1578,3903)(1579,3902)(1580,3901)(1581,3900)(1582,3899)(1583,3898)(1584,3897)(1585,3896)(1586,3895)(1587,3894)(1588,3893)(1589,3892)(1590,3891)(1591,3890)(1592,3889)(1593,3888)(1594,3887)(1595,3886)(1596,3885)(1597,3884)(1598,3883)(1599,3882)(1600,3881)(1601,3880)(1602,3879)(1603,3878)(1604,3877)(1605,3876)(1606,3875)(1607,3874)(1608,3873)(1609,3872)(1610,3871)(1611,3870)(1612,3869)(1613,3868)(1614,3867)(1615,3866)(1616,3865)(1617,3864)(1618,3863)(1619,3862)(1620,3861)(1621,3860)(1622,3859)(1623,3858)(1624,3857)(1625,3856)(1626,3855)(1627,3854)(1628,3853)(1629,3852)(1630,3851)(1631,3850)(1632,3849)(1633,3848)(1634,3847)(1635,3846)(1636,3845)(1637,3844)(1638,3843)(1639,3842)(1640,3841)(1641,3840)(1642,3839)(1643,3838)(1644,3837)(1645,3836)(1646,3835)(1647,3834)(1648,3833)(1649,3832)(1650,3831)(1651,3830)(1652,3829)(1653,3828)(1654,3827)(1655,3826)(1656,3825)(1657,3824)(1658,3823)(1659,3822)(1660,3821)(1661,3820)(1662,3819)(1663,3818)(1664,3817)(1665,3816)(1666,3815)(1667,3814)(1668,3813)(1669,3812)(1670,3811)(1671,3810)(1672,3809)(1673,3808)(1674,3807)(1675,3806)(1676,3805)(1677,3804)(1678,3803)(1679,3802)(1680,3801)(1681,3800)(1682,3799)(1683,3798)(1684,3797)(1685,3796)(1686,3795)(1687,3794)(1688,3793)(1689,3792)(1690,3791)(1691,3790)(1692,3789)(1693,3788)(1694,3787)(1695,3786)(1696,3785)(1697,3784)(1698,3783)(1699,3782)(1700,3781)(1701,3780)(1702,3779)(1703,3778)(1704,3777)(1705,3776)(1706,3775)(1707,3774)(1708,3773)(1709,3772)(1710,3771)(1711,3770)(1712,3769)(1713,3768)(1714,3767)(1715,3766)(1716,3765)(1717,3764)(1718,3763)(1719,3762)(1720,3761)(1721,3760)(1722,3759)(1723,3758)(1724,3757)(1725,3756)(1726,3755)(1727,3754)(1728,3753)(1729,3752)(1730,3751)(1731,3750)(1732,3749)(1733,3748)(1734,3747)(1735,3746)(1736,3745)(1737,3744)(1738,3743)(1739,3742)(1740,3741)(1741,3740)(1742,3739)(1743,3738)(1744,3737)(1745,3736)(1746,3735)(1747,3734)(1748,3733)(1749,3732)(1750,3731)(1751,3730)(1752,3729)(1753,3728)(1754,3727)(1755,3726)(1756,3725)(1757,3724)(1758,3723)(1759,3722)(1760,3721)(1761,3720)(1762,3719)(1763,3718)(1764,3717)(1765,3716)(1766,3715)(1767,3714)(1768,3713)(1769,3712)(1770,3711)(1771,3710)(1772,3709)(1773,3708)(1774,3707)(1775,3706)(1776,3705)(1777,3704)(1778,3703)(1779,3702)(1780,3701)(1781,3700)(1782,3699)(1783,3698)(1784,3697)(1785,3696)(1786,3695)(1787,3694)(1788,3693)(1789,3692)(1790,3691)(1791,3690)(1792,3689)(1793,3688)(1794,3687)(1795,3686)(1796,3685)(1797,3684)(1798,3683)(1799,3682)(1800,3681)(1801,3680)(1802,3679)(1803,3678)(1804,3677)(1805,3676)(1806,3675)(1807,3674)(1808,3673)(1809,3672)(1810,3671)(1811,3670)(1812,3669)(1813,3668)(1814,3667)(1815,3666)(1816,3665)(1817,3664)(1818,3663)(1819,3662)(1820,3661)(1821,3660)(1822,3659)(1823,3658)(1824,3657)(1825,3656)(1826,3655)(1827,3654)(1828,3653)(1829,3652)(1830,3651)(1831,3650)(1832,3649)(1833,3648)(1834,3647)(1835,3646)(1836,3645)(1837,3644)(1838,3643)(1839,3642)(1840,3641)(1841,3640)(1842,3639)(1843,3638)(1844,3637)(1845,3636)(1846,3635)(1847,3634)(1848,3633)(1849,3632)(1850,3631)(1851,3630)(1852,3629)(1853,3628)(1854,3627)(1855,3626)(1856,3625)(1857,3624)(1858,3623)(1859,3622)(1860,3621)(1861,3620)(1862,3619)(1863,3618)(1864,3617)(1865,3616)(1866,3615)(1867,3614)(1868,3613)(1869,3612)(1870,3611)(1871,3610)(1872,3609)(1873,3608)(1874,3607)(1875,3606)(1876,3605)(1877,3604)(1878,3603)(1879,3602)(1880,3601)(1881,3600)(1882,3599)(1883,3598)(1884,3597)(1885,3596)(1886,3595)(1887,3594)(1888,3593)(1889,3592)(1890,3591)(1891,3590)(1892,3589)(1893,3588)(1894,3587)(1895,3586)(1896,3585)(1897,3584)(1898,3583)(1899,3582)(1900,3581)(1901,3580)(1902,3579)(1903,3578)(1904,3577)(1905,3576)(1906,3575)(1907,3574)(1908,3573)(1909,3572)(1910,3571)(1911,3570)(1912,3569)(1913,3568)(1914,3567)(1915,3566)(1916,3565)(1917,3564)(1918,3563)(1919,3562)(1920,3561)(1921,3560)(1922,3559)(1923,3558)(1924,3557)(1925,3556)(1926,3555)(1927,3554)(1928,3553)(1929,3552)(1930,3551)(1931,3550)(1932,3549)(1933,3548)(1934,3547)(1935,3546)(1936,3545)(1937,3544)(1938,3543)(1939,3542)(1940,3541)(1941,3540)(1942,3539)(1943,3538)(1944,3537)(1945,3536)(1946,3535)(1947,3534)(1948,3533)(1949,3532)(1950,3531)(1951,3530)(1952,3529)(1953,3528)(1954,3527)(1955,3526)(1956,3525)(1957,3524)(1958,3523)(1959,3522)(1960,3521)(1961,3520)(1962,3519)(1963,3518)(1964,3517)(1965,3516)(1966,3515)(1967,3514)(1968,3513)(1969,3512)(1970,3511)(1971,3510)(1972,3509)(1973,3508)(1974,3507)(1975,3506)(1976,3505)(1977,3504)(1978,3503)(1979,3502)(1980,3501)(1981,3500)(1982,3499)(1983,3498)(1984,3497)(1985,3496)(1986,3495)(1987,3494)(1988,3493)(1989,3492)(1990,3491)(1991,3490)(1992,3489)(1993,3488)(1994,3487)(1995,3486)(1996,3485)(1997,3484)(1998,3483)(1999,3482)(2000,3481)(2001,3480)(2002,3479)(2003,3478)(2004,3477)(2005,3476)(2006,3475)(2007,3474)(2008,3473)(2009,3472)(2010,3471)(2011,3470)(2012,3469)(2013,3468)(2014,3467)(2015,3466)(2016,3465)(2017,3464)(2018,3463)(2019,3462)(2020,3461)(2021,3460)(2022,3459)(2023,3458)(2024,3457)(2025,3456)(2026,3455)(2027,3454)(2028,3453)(2029,3452)(2030,3451)(2031,3450)(2032,3449)(2033,3448)(2034,3447)(2035,3446)(2036,3445)(2037,3444)(2038,3443)(2039,3442)(2040,3441)(2041,3440)(2042,3439)(2043,3438)(2044,3437)(2045,3436)(2046,3435)(2047,3434)(2048,3433)(2049,3432)(2050,3431)(2051,3430)(2052,3429)(2053,3428)(2054,3427)(2055,3426)(2056,3425)(2057,3424)(2058,3423)(2059,3422)(2060,3421)(2061,3420)(2062,3419)(2063,3418)(2064,3417)(2065,3416)(2066,3415)(2067,3414)(2068,3413)(2069,3412)(2070,3411)(2071,3410)(2072,3409)(2073,3408)(2074,3407)(2075,3406)(2076,3405)(2077,3404)(2078,3403)(2079,3402)(2080,3401)(2081,3400)(2082,3399)(2083,3398)(2084,3397)(2085,3396)(2086,3395)(2087,3394)(2088,3393)(2089,3392)(2090,3391)(2091,3390)(2092,3389)(2093,3388)(2094,3387)(2095,3386)(2096,3385)(2097,3384)(2098,3383)(2099,3382)(2100,3381)(2101,3380)(2102,3379)(2103,3378)(2104,3377)(2105,3376)(2106,3375)(2107,3374)(2108,3373)(2109,3372)(2110,3371)(2111,3370)(2112,3369)(2113,3368)(2114,3367)(2115,3366)(2116,3365)(2117,3364)(2118,3363)(2119,3362)(2120,3361)(2121,3360)(2122,3359)(2123,3358)(2124,3357)(2125,3356)(2126,3355)(2127,3354)(2128,3353)(2129,3352)(2130,3351)(2131,3350)(2132,3349)(2133,3348)(2134,3347)(2135,3346)(2136,3345)(2137,3344)(2138,3343)(2139,3342)(2140,3341)(2141,3340)(2142,3339)(2143,3338)(2144,3337)(2145,3336)(2146,3335)(2147,3334)(2148,3333)(2149,3332)(2150,3331)(2151,3330)(2152,3329)(2153,3328)(2154,3327)(2155,3326)(2156,3325)(2157,3324)(2158,3323)(2159,3322)(2160,3321)(2161,3320)(2162,3319)(2163,3318)(2164,3317)(2165,3316)(2166,3315)(2167,3314)(2168,3313)(2169,3312)(2170,3311)(2171,3310)(2172,3309)(2173,3308)(2174,3307)(2175,3306)(2176,3305)(2177,3304)(2178,3303)(2179,3302)(2180,3301)(2181,3300)(2182,3299)(2183,3298)(2184,3297)(2185,3296)(2186,3295)(2187,3294)(2188,3293)(2189,3292)(2190,3291)(2191,3290)(2192,3289)(2193,3288)(2194,3287)(2195,3286)(2196,3285)(2197,3284)(2198,3283)(2199,3282)(2200,3281)(2201,3280)(2202,3279)(2203,3278)(2204,3277)(2205,3276)(2206,3275)(2207,3274)(2208,3273)(2209,3272)(2210,3271)(2211,3270)(2212,3269)(2213,3268)(2214,3267)(2215,3266)(2216,3265)(2217,3264)(2218,3263)(2219,3262)(2220,3261)(2221,3260)(2222,3259)(2223,3258)(2224,3257)(2225,3256)(2226,3255)(2227,3254)(2228,3253)(2229,3252)(2230,3251)(2231,3250)(2232,3249)(2233,3248)(2234,3247)(2235,3246)(2236,3245)(2237,3244)(2238,3243)(2239,3242)(2240,3241)(2241,3240)(2242,3239)(2243,3238)(2244,3237)(2245,3236)(2246,3235)(2247,3234)(2248,3233)(2249,3232)(2250,3231)(2251,3230)(2252,3229)(2253,3228)(2254,3227)(2255,3226)(2256,3225)(2257,3224)(2258,3223)(2259,3222)(2260,3221)(2261,3220)(2262,3219)(2263,3218)(2264,3217)(2265,3216)(2266,3215)(2267,3214)(2268,3213)(2269,3212)(2270,3211)(2271,3210)(2272,3209)(2273,3208)(2274,3207)(2275,3206)(2276,3205)(2277,3204)(2278,3203)(2279,3202)(2280,3201)(2281,3200)(2282,3199)(2283,3198)(2284,3197)(2285,3196)(2286,3195)(2287,3194)(2288,3193)(2289,3192)(2290,3191)(2291,3190)(2292,3189)(2293,3188)(2294,3187)(2295,3186)(2296,3185)(2297,3184)(2298,3183)(2299,3182)(2300,3181)(2301,3180)(2302,3179)(2303,3178)(2304,3177)(2305,3176)(2306,3175)(2307,3174)(2308,3173)(2309,3172)(2310,3171)(2311,3170)(2312,3169)(2313,3168)(2314,3167)(2315,3166)(2316,3165)(2317,3164)(2318,3163)(2319,3162)(2320,3161)(2321,3160)(2322,3159)(2323,3158)(2324,3157)(2325,3156)(2326,3155)(2327,3154)(2328,3153)(2329,3152)(2330,3151)(2331,3150)(2332,3149)(2333,3148)(2334,3147)(2335,3146)(2336,3145)(2337,3144)(2338,3143)(2339,3142)(2340,3141)(2341,3140)(2342,3139)(2343,3138)(2344,3137)(2345,3136)(2346,3135)(2347,3134)(2348,3133)(2349,3132)(2350,3131)(2351,3130)(2352,3129)(2353,3128)(2354,3127)(2355,3126)(2356,3125)(2357,3124)(2358,3123)(2359,3122)(2360,3121)(2361,3120)(2362,3119)(2363,3118)(2364,3117)(2365,3116)(2366,3115)(2367,3114)(2368,3113)(2369,3112)(2370,3111)(2371,3110)(2372,3109)(2373,3108)(2374,3107)(2375,3106)(2376,3105)(2377,3104)(2378,3103)(2379,3102)(2380,3101)(2381,3100)(2382,3099)(2383,3098)(2384,3097)(2385,3096)(2386,3095)(2387,3094)(2388,3093)(2389,3092)(2390,3091)(2391,3090)(2392,3089)(2393,3088)(2394,3087)(2395,3086)(2396,3085)(2397,3084)(2398,3083)(2399,3082)(2400,3081)(2401,3080)(2402,3079)(2403,3078)(2404,3077)(2405,3076)(2406,3075)(2407,3074)(2408,3073)(2409,3072)(2410,3071)(2411,3070)(2412,3069)(2413,3068)(2414,3067)(2415,3066)(2416,3065)(2417,3064)(2418,3063)(2419,3062)(2420,3061)(2421,3060)(2422,3059)(2423,3058)(2424,3057)(2425,3056)(2426,3055)(2427,3054)(2428,3053)(2429,3052)(2430,3051)(2431,3050)(2432,3049)(2433,3048)(2434,3047)(2435,3046)(2436,3045)(2437,3044)(2438,3043)(2439,3042)(2440,3041)(2441,3040)(2442,3039)(2443,3038)(2444,3037)(2445,3036)(2446,3035)(2447,3034)(2448,3033)(2449,3032)(2450,3031)(2451,3030)(2452,3029)(2453,3028)(2454,3027)(2455,3026)(2456,3025)(2457,3024)(2458,3023)(2459,3022)(2460,3021)(2461,3020)(2462,3019)(2463,3018)(2464,3017)(2465,3016)(2466,3015)(2467,3014)(2468,3013)(2469,3012)(2470,3011)(2471,3010)(2472,3009)(2473,3008)(2474,3007)(2475,3006)(2476,3005)(2477,3004)(2478,3003)(2479,3002)(2480,3001)(2481,3000)(2482,2999)(2483,2998)(2484,2997)(2485,2996)(2486,2995)(2487,2994)(2488,2993)(2489,2992)(2490,2991)(2491,2990)(2492,2989)(2493,2988)(2494,2987)(2495,2986)(2496,2985)(2497,2984)(2498,2983)(2499,2982)(2500,2981)(2501,2980)(2502,2979)(2503,2978)(2504,2977)(2505,2976)(2506,2975)(2507,2974)(2508,2973)(2509,2972)(2510,2971)(2511,2970)(2512,2969)(2513,2968)(2514,2967)(2515,2966)(2516,2965)(2517,2964)(2518,2963)(2519,2962)(2520,2961)(2521,2960)(2522,2959)(2523,2958)(2524,2957)(2525,2956)(2526,2955)(2527,2954)(2528,2953)(2529,2952)(2530,2951)(2531,2950)(2532,2949)(2533,2948)(2534,2947)(2535,2946)(2536,2945)(2537,2944)(2538,2943)(2539,2942)(2540,2941)(2541,2940)(2542,2939)(2543,2938)(2544,2937)(2545,2936)(2546,2935)(2547,2934)(2548,2933)(2549,2932)(2550,2931)(2551,2930)(2552,2929)(2553,2928)(2554,2927)(2555,2926)(2556,2925)(2557,2924)(2558,2923)(2559,2922)(2560,2921)(2561,2920)(2562,2919)(2563,2918)(2564,2917)(2565,2916)(2566,2915)(2567,2914)(2568,2913)(2569,2912)(2570,2911)(2571,2910)(2572,2909)(2573,2908)(2574,2907)(2575,2906)(2576,2905)(2577,2904)(2578,2903)(2579,2902)(2580,2901)(2581,2900)(2582,2899)(2583,2898)(2584,2897)(2585,2896)(2586,2895)(2587,2894)(2588,2893)(2589,2892)(2590,2891)(2591,2890)(2592,2889)(2593,2888)(2594,2887)(2595,2886)(2596,2885)(2597,2884)(2598,2883)(2599,2882)(2600,2881)(2601,2880)(2602,2879)(2603,2878)(2604,2877)(2605,2876)(2606,2875)(2607,2874)(2608,2873)(2609,2872)(2610,2871)(2611,2870)(2612,2869)(2613,2868)(2614,2867)(2615,2866)(2616,2865)(2617,2864)(2618,2863)(2619,2862)(2620,2861)(2621,2860)(2622,2859)(2623,2858)(2624,2857)(2625,2856)(2626,2855)(2627,2854)(2628,2853)(2629,2852)(2630,2851)(2631,2850)(2632,2849)(2633,2848)(2634,2847)(2635,2846)(2636,2845)(2637,2844)(2638,2843)(2639,2842)(2640,2841)(2641,2840)(2642,2839)(2643,2838)(2644,2837)(2645,2836)(2646,2835)(2647,2834)(2648,2833)(2649,2832)(2650,2831)(2651,2830)(2652,2829)(2653,2828)(2654,2827)(2655,2826)(2656,2825)(2657,2824)(2658,2823)(2659,2822)(2660,2821)(2661,2820)(2662,2819)(2663,2818)(2664,2817)(2665,2816)(2666,2815)(2667,2814)(2668,2813)(2669,2812)(2670,2811)(2671,2810)(2672,2809)(2673,2808)(2674,2807)(2675,2806)(2676,2805)(2677,2804)(2678,2803)(2679,2802)(2680,2801)(2681,2800)(2682,2799)(2683,2798)(2684,2797)(2685,2796)(2686,2795)(2687,2794)(2688,2793)(2689,2792)(2690,2791)(2691,2790)(2692,2789)(2693,2788)(2694,2787)(2695,2786)(2696,2785)(2697,2784)(2698,2783)(2699,2782)(2700,2781)(2701,2780)(2702,2779)(2703,2778)(2704,2777)(2705,2776)(2706,2775)(2707,2774)(2708,2773)(2709,2772)(2710,2771)(2711,2770)(2712,2769)(2713,2768)(2714,2767)(2715,2766)(2716,2765)(2717,2764)(2718,2763)(2719,2762)(2720,2761)(2721,2760)(2722,2759)(2723,2758)(2724,2757)(2725,2756)(2726,2755)(2727,2754)(2728,2753)(2729,2752)(2730,2751)(2731,2750)(2732,2749)(2733,2748)(2734,2747)(2735,2746)(2736,2745)(2737,2744)(2738,2743)(2739,2742)(2740,2741)Polycyclic presentation:
2^2,5471|a^2=b,c^a=c^54705474 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21884, 1);