Finite Group DatabasebetaFinite Group Databasebeta| order | 23524 |
| automorphism | ? |
| homology | Abelianization (H1) = C4 · Schur multiplier (H2) = C1 |
| dicyclic | Dic5881 |
| derived, Sylow | C5881 ⋊ C4 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C2 | D5881 |
| commutator, hypocenter | C5881 | C4 |
| Fitting, socle, prime radical, cosocle | C2×C5881 | C2 |
| LCS | G ▷ C5881 | |
| UCS | C1 ◁ C2 | |
6 conjugacy classes of subgroups.
| minimal degree | μ(G) = 5885 |
| transitive degree | μt(G) = 23524 |
A minimal faithful permutation representation — 2 generators on 5885 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);(1,3,2,4)(6,5885)(7,5884)(8,5883)(9,5882)(10,5881)(11,5880)(12,5879)(13,5878)(14,5877)(15,5876)(16,5875)(17,5874)(18,5873)(19,5872)(20,5871)(21,5870)(22,5869)(23,5868)(24,5867)(25,5866)(26,5865)(27,5864)(28,5863)(29,5862)(30,5861)(31,5860)(32,5859)(33,5858)(34,5857)(35,5856)(36,5855)(37,5854)(38,5853)(39,5852)(40,5851)(41,5850)(42,5849)(43,5848)(44,5847)(45,5846)(46,5845)(47,5844)(48,5843)(49,5842)(50,5841)(51,5840)(52,5839)(53,5838)(54,5837)(55,5836)(56,5835)(57,5834)(58,5833)(59,5832)(60,5831)(61,5830)(62,5829)(63,5828)(64,5827)(65,5826)(66,5825)(67,5824)(68,5823)(69,5822)(70,5821)(71,5820)(72,5819)(73,5818)(74,5817)(75,5816)(76,5815)(77,5814)(78,5813)(79,5812)(80,5811)(81,5810)(82,5809)(83,5808)(84,5807)(85,5806)(86,5805)(87,5804)(88,5803)(89,5802)(90,5801)(91,5800)(92,5799)(93,5798)(94,5797)(95,5796)(96,5795)(97,5794)(98,5793)(99,5792)(100,5791)(101,5790)(102,5789)(103,5788)(104,5787)(105,5786)(106,5785)(107,5784)(108,5783)(109,5782)(110,5781)(111,5780)(112,5779)(113,5778)(114,5777)(115,5776)(116,5775)(117,5774)(118,5773)(119,5772)(120,5771)(121,5770)(122,5769)(123,5768)(124,5767)(125,5766)(126,5765)(127,5764)(128,5763)(129,5762)(130,5761)(131,5760)(132,5759)(133,5758)(134,5757)(135,5756)(136,5755)(137,5754)(138,5753)(139,5752)(140,5751)(141,5750)(142,5749)(143,5748)(144,5747)(145,5746)(146,5745)(147,5744)(148,5743)(149,5742)(150,5741)(151,5740)(152,5739)(153,5738)(154,5737)(155,5736)(156,5735)(157,5734)(158,5733)(159,5732)(160,5731)(161,5730)(162,5729)(163,5728)(164,5727)(165,5726)(166,5725)(167,5724)(168,5723)(169,5722)(170,5721)(171,5720)(172,5719)(173,5718)(174,5717)(175,5716)(176,5715)(177,5714)(178,5713)(179,5712)(180,5711)(181,5710)(182,5709)(183,5708)(184,5707)(185,5706)(186,5705)(187,5704)(188,5703)(189,5702)(190,5701)(191,5700)(192,5699)(193,5698)(194,5697)(195,5696)(196,5695)(197,5694)(198,5693)(199,5692)(200,5691)(201,5690)(202,5689)(203,5688)(204,5687)(205,5686)(206,5685)(207,5684)(208,5683)(209,5682)(210,5681)(211,5680)(212,5679)(213,5678)(214,5677)(215,5676)(216,5675)(217,5674)(218,5673)(219,5672)(220,5671)(221,5670)(222,5669)(223,5668)(224,5667)(225,5666)(226,5665)(227,5664)(228,5663)(229,5662)(230,5661)(231,5660)(232,5659)(233,5658)(234,5657)(235,5656)(236,5655)(237,5654)(238,5653)(239,5652)(240,5651)(241,5650)(242,5649)(243,5648)(244,5647)(245,5646)(246,5645)(247,5644)(248,5643)(249,5642)(250,5641)(251,5640)(252,5639)(253,5638)(254,5637)(255,5636)(256,5635)(257,5634)(258,5633)(259,5632)(260,5631)(261,5630)(262,5629)(263,5628)(264,5627)(265,5626)(266,5625)(267,5624)(268,5623)(269,5622)(270,5621)(271,5620)(272,5619)(273,5618)(274,5617)(275,5616)(276,5615)(277,5614)(278,5613)(279,5612)(280,5611)(281,5610)(282,5609)(283,5608)(284,5607)(285,5606)(286,5605)(287,5604)(288,5603)(289,5602)(290,5601)(291,5600)(292,5599)(293,5598)(294,5597)(295,5596)(296,5595)(297,5594)(298,5593)(299,5592)(300,5591)(301,5590)(302,5589)(303,5588)(304,5587)(305,5586)(306,5585)(307,5584)(308,5583)(309,5582)(310,5581)(311,5580)(312,5579)(313,5578)(314,5577)(315,5576)(316,5575)(317,5574)(318,5573)(319,5572)(320,5571)(321,5570)(322,5569)(323,5568)(324,5567)(325,5566)(326,5565)(327,5564)(328,5563)(329,5562)(330,5561)(331,5560)(332,5559)(333,5558)(334,5557)(335,5556)(336,5555)(337,5554)(338,5553)(339,5552)(340,5551)(341,5550)(342,5549)(343,5548)(344,5547)(345,5546)(346,5545)(347,5544)(348,5543)(349,5542)(350,5541)(351,5540)(352,5539)(353,5538)(354,5537)(355,5536)(356,5535)(357,5534)(358,5533)(359,5532)(360,5531)(361,5530)(362,5529)(363,5528)(364,5527)(365,5526)(366,5525)(367,5524)(368,5523)(369,5522)(370,5521)(371,5520)(372,5519)(373,5518)(374,5517)(375,5516)(376,5515)(377,5514)(378,5513)(379,5512)(380,5511)(381,5510)(382,5509)(383,5508)(384,5507)(385,5506)(386,5505)(387,5504)(388,5503)(389,5502)(390,5501)(391,5500)(392,5499)(393,5498)(394,5497)(395,5496)(396,5495)(397,5494)(398,5493)(399,5492)(400,5491)(401,5490)(402,5489)(403,5488)(404,5487)(405,5486)(406,5485)(407,5484)(408,5483)(409,5482)(410,5481)(411,5480)(412,5479)(413,5478)(414,5477)(415,5476)(416,5475)(417,5474)(418,5473)(419,5472)(420,5471)(421,5470)(422,5469)(423,5468)(424,5467)(425,5466)(426,5465)(427,5464)(428,5463)(429,5462)(430,5461)(431,5460)(432,5459)(433,5458)(434,5457)(435,5456)(436,5455)(437,5454)(438,5453)(439,5452)(440,5451)(441,5450)(442,5449)(443,5448)(444,5447)(445,5446)(446,5445)(447,5444)(448,5443)(449,5442)(450,5441)(451,5440)(452,5439)(453,5438)(454,5437)(455,5436)(456,5435)(457,5434)(458,5433)(459,5432)(460,5431)(461,5430)(462,5429)(463,5428)(464,5427)(465,5426)(466,5425)(467,5424)(468,5423)(469,5422)(470,5421)(471,5420)(472,5419)(473,5418)(474,5417)(475,5416)(476,5415)(477,5414)(478,5413)(479,5412)(480,5411)(481,5410)(482,5409)(483,5408)(484,5407)(485,5406)(486,5405)(487,5404)(488,5403)(489,5402)(490,5401)(491,5400)(492,5399)(493,5398)(494,5397)(495,5396)(496,5395)(497,5394)(498,5393)(499,5392)(500,5391)(501,5390)(502,5389)(503,5388)(504,5387)(505,5386)(506,5385)(507,5384)(508,5383)(509,5382)(510,5381)(511,5380)(512,5379)(513,5378)(514,5377)(515,5376)(516,5375)(517,5374)(518,5373)(519,5372)(520,5371)(521,5370)(522,5369)(523,5368)(524,5367)(525,5366)(526,5365)(527,5364)(528,5363)(529,5362)(530,5361)(531,5360)(532,5359)(533,5358)(534,5357)(535,5356)(536,5355)(537,5354)(538,5353)(539,5352)(540,5351)(541,5350)(542,5349)(543,5348)(544,5347)(545,5346)(546,5345)(547,5344)(548,5343)(549,5342)(550,5341)(551,5340)(552,5339)(553,5338)(554,5337)(555,5336)(556,5335)(557,5334)(558,5333)(559,5332)(560,5331)(561,5330)(562,5329)(563,5328)(564,5327)(565,5326)(566,5325)(567,5324)(568,5323)(569,5322)(570,5321)(571,5320)(572,5319)(573,5318)(574,5317)(575,5316)(576,5315)(577,5314)(578,5313)(579,5312)(580,5311)(581,5310)(582,5309)(583,5308)(584,5307)(585,5306)(586,5305)(587,5304)(588,5303)(589,5302)(590,5301)(591,5300)(592,5299)(593,5298)(594,5297)(595,5296)(596,5295)(597,5294)(598,5293)(599,5292)(600,5291)(601,5290)(602,5289)(603,5288)(604,5287)(605,5286)(606,5285)(607,5284)(608,5283)(609,5282)(610,5281)(611,5280)(612,5279)(613,5278)(614,5277)(615,5276)(616,5275)(617,5274)(618,5273)(619,5272)(620,5271)(621,5270)(622,5269)(623,5268)(624,5267)(625,5266)(626,5265)(627,5264)(628,5263)(629,5262)(630,5261)(631,5260)(632,5259)(633,5258)(634,5257)(635,5256)(636,5255)(637,5254)(638,5253)(639,5252)(640,5251)(641,5250)(642,5249)(643,5248)(644,5247)(645,5246)(646,5245)(647,5244)(648,5243)(649,5242)(650,5241)(651,5240)(652,5239)(653,5238)(654,5237)(655,5236)(656,5235)(657,5234)(658,5233)(659,5232)(660,5231)(661,5230)(662,5229)(663,5228)(664,5227)(665,5226)(666,5225)(667,5224)(668,5223)(669,5222)(670,5221)(671,5220)(672,5219)(673,5218)(674,5217)(675,5216)(676,5215)(677,5214)(678,5213)(679,5212)(680,5211)(681,5210)(682,5209)(683,5208)(684,5207)(685,5206)(686,5205)(687,5204)(688,5203)(689,5202)(690,5201)(691,5200)(692,5199)(693,5198)(694,5197)(695,5196)(696,5195)(697,5194)(698,5193)(699,5192)(700,5191)(701,5190)(702,5189)(703,5188)(704,5187)(705,5186)(706,5185)(707,5184)(708,5183)(709,5182)(710,5181)(711,5180)(712,5179)(713,5178)(714,5177)(715,5176)(716,5175)(717,5174)(718,5173)(719,5172)(720,5171)(721,5170)(722,5169)(723,5168)(724,5167)(725,5166)(726,5165)(727,5164)(728,5163)(729,5162)(730,5161)(731,5160)(732,5159)(733,5158)(734,5157)(735,5156)(736,5155)(737,5154)(738,5153)(739,5152)(740,5151)(741,5150)(742,5149)(743,5148)(744,5147)(745,5146)(746,5145)(747,5144)(748,5143)(749,5142)(750,5141)(751,5140)(752,5139)(753,5138)(754,5137)(755,5136)(756,5135)(757,5134)(758,5133)(759,5132)(760,5131)(761,5130)(762,5129)(763,5128)(764,5127)(765,5126)(766,5125)(767,5124)(768,5123)(769,5122)(770,5121)(771,5120)(772,5119)(773,5118)(774,5117)(775,5116)(776,5115)(777,5114)(778,5113)(779,5112)(780,5111)(781,5110)(782,5109)(783,5108)(784,5107)(785,5106)(786,5105)(787,5104)(788,5103)(789,5102)(790,5101)(791,5100)(792,5099)(793,5098)(794,5097)(795,5096)(796,5095)(797,5094)(798,5093)(799,5092)(800,5091)(801,5090)(802,5089)(803,5088)(804,5087)(805,5086)(806,5085)(807,5084)(808,5083)(809,5082)(810,5081)(811,5080)(812,5079)(813,5078)(814,5077)(815,5076)(816,5075)(817,5074)(818,5073)(819,5072)(820,5071)(821,5070)(822,5069)(823,5068)(824,5067)(825,5066)(826,5065)(827,5064)(828,5063)(829,5062)(830,5061)(831,5060)(832,5059)(833,5058)(834,5057)(835,5056)(836,5055)(837,5054)(838,5053)(839,5052)(840,5051)(841,5050)(842,5049)(843,5048)(844,5047)(845,5046)(846,5045)(847,5044)(848,5043)(849,5042)(850,5041)(851,5040)(852,5039)(853,5038)(854,5037)(855,5036)(856,5035)(857,5034)(858,5033)(859,5032)(860,5031)(861,5030)(862,5029)(863,5028)(864,5027)(865,5026)(866,5025)(867,5024)(868,5023)(869,5022)(870,5021)(871,5020)(872,5019)(873,5018)(874,5017)(875,5016)(876,5015)(877,5014)(878,5013)(879,5012)(880,5011)(881,5010)(882,5009)(883,5008)(884,5007)(885,5006)(886,5005)(887,5004)(888,5003)(889,5002)(890,5001)(891,5000)(892,4999)(893,4998)(894,4997)(895,4996)(896,4995)(897,4994)(898,4993)(899,4992)(900,4991)(901,4990)(902,4989)(903,4988)(904,4987)(905,4986)(906,4985)(907,4984)(908,4983)(909,4982)(910,4981)(911,4980)(912,4979)(913,4978)(914,4977)(915,4976)(916,4975)(917,4974)(918,4973)(919,4972)(920,4971)(921,4970)(922,4969)(923,4968)(924,4967)(925,4966)(926,4965)(927,4964)(928,4963)(929,4962)(930,4961)(931,4960)(932,4959)(933,4958)(934,4957)(935,4956)(936,4955)(937,4954)(938,4953)(939,4952)(940,4951)(941,4950)(942,4949)(943,4948)(944,4947)(945,4946)(946,4945)(947,4944)(948,4943)(949,4942)(950,4941)(951,4940)(952,4939)(953,4938)(954,4937)(955,4936)(956,4935)(957,4934)(958,4933)(959,4932)(960,4931)(961,4930)(962,4929)(963,4928)(964,4927)(965,4926)(966,4925)(967,4924)(968,4923)(969,4922)(970,4921)(971,4920)(972,4919)(973,4918)(974,4917)(975,4916)(976,4915)(977,4914)(978,4913)(979,4912)(980,4911)(981,4910)(982,4909)(983,4908)(984,4907)(985,4906)(986,4905)(987,4904)(988,4903)(989,4902)(990,4901)(991,4900)(992,4899)(993,4898)(994,4897)(995,4896)(996,4895)(997,4894)(998,4893)(999,4892)(1000,4891)(1001,4890)(1002,4889)(1003,4888)(1004,4887)(1005,4886)(1006,4885)(1007,4884)(1008,4883)(1009,4882)(1010,4881)(1011,4880)(1012,4879)(1013,4878)(1014,4877)(1015,4876)(1016,4875)(1017,4874)(1018,4873)(1019,4872)(1020,4871)(1021,4870)(1022,4869)(1023,4868)(1024,4867)(1025,4866)(1026,4865)(1027,4864)(1028,4863)(1029,4862)(1030,4861)(1031,4860)(1032,4859)(1033,4858)(1034,4857)(1035,4856)(1036,4855)(1037,4854)(1038,4853)(1039,4852)(1040,4851)(1041,4850)(1042,4849)(1043,4848)(1044,4847)(1045,4846)(1046,4845)(1047,4844)(1048,4843)(1049,4842)(1050,4841)(1051,4840)(1052,4839)(1053,4838)(1054,4837)(1055,4836)(1056,4835)(1057,4834)(1058,4833)(1059,4832)(1060,4831)(1061,4830)(1062,4829)(1063,4828)(1064,4827)(1065,4826)(1066,4825)(1067,4824)(1068,4823)(1069,4822)(1070,4821)(1071,4820)(1072,4819)(1073,4818)(1074,4817)(1075,4816)(1076,4815)(1077,4814)(1078,4813)(1079,4812)(1080,4811)(1081,4810)(1082,4809)(1083,4808)(1084,4807)(1085,4806)(1086,4805)(1087,4804)(1088,4803)(1089,4802)(1090,4801)(1091,4800)(1092,4799)(1093,4798)(1094,4797)(1095,4796)(1096,4795)(1097,4794)(1098,4793)(1099,4792)(1100,4791)(1101,4790)(1102,4789)(1103,4788)(1104,4787)(1105,4786)(1106,4785)(1107,4784)(1108,4783)(1109,4782)(1110,4781)(1111,4780)(1112,4779)(1113,4778)(1114,4777)(1115,4776)(1116,4775)(1117,4774)(1118,4773)(1119,4772)(1120,4771)(1121,4770)(1122,4769)(1123,4768)(1124,4767)(1125,4766)(1126,4765)(1127,4764)(1128,4763)(1129,4762)(1130,4761)(1131,4760)(1132,4759)(1133,4758)(1134,4757)(1135,4756)(1136,4755)(1137,4754)(1138,4753)(1139,4752)(1140,4751)(1141,4750)(1142,4749)(1143,4748)(1144,4747)(1145,4746)(1146,4745)(1147,4744)(1148,4743)(1149,4742)(1150,4741)(1151,4740)(1152,4739)(1153,4738)(1154,4737)(1155,4736)(1156,4735)(1157,4734)(1158,4733)(1159,4732)(1160,4731)(1161,4730)(1162,4729)(1163,4728)(1164,4727)(1165,4726)(1166,4725)(1167,4724)(1168,4723)(1169,4722)(1170,4721)(1171,4720)(1172,4719)(1173,4718)(1174,4717)(1175,4716)(1176,4715)(1177,4714)(1178,4713)(1179,4712)(1180,4711)(1181,4710)(1182,4709)(1183,4708)(1184,4707)(1185,4706)(1186,4705)(1187,4704)(1188,4703)(1189,4702)(1190,4701)(1191,4700)(1192,4699)(1193,4698)(1194,4697)(1195,4696)(1196,4695)(1197,4694)(1198,4693)(1199,4692)(1200,4691)(1201,4690)(1202,4689)(1203,4688)(1204,4687)(1205,4686)(1206,4685)(1207,4684)(1208,4683)(1209,4682)(1210,4681)(1211,4680)(1212,4679)(1213,4678)(1214,4677)(1215,4676)(1216,4675)(1217,4674)(1218,4673)(1219,4672)(1220,4671)(1221,4670)(1222,4669)(1223,4668)(1224,4667)(1225,4666)(1226,4665)(1227,4664)(1228,4663)(1229,4662)(1230,4661)(1231,4660)(1232,4659)(1233,4658)(1234,4657)(1235,4656)(1236,4655)(1237,4654)(1238,4653)(1239,4652)(1240,4651)(1241,4650)(1242,4649)(1243,4648)(1244,4647)(1245,4646)(1246,4645)(1247,4644)(1248,4643)(1249,4642)(1250,4641)(1251,4640)(1252,4639)(1253,4638)(1254,4637)(1255,4636)(1256,4635)(1257,4634)(1258,4633)(1259,4632)(1260,4631)(1261,4630)(1262,4629)(1263,4628)(1264,4627)(1265,4626)(1266,4625)(1267,4624)(1268,4623)(1269,4622)(1270,4621)(1271,4620)(1272,4619)(1273,4618)(1274,4617)(1275,4616)(1276,4615)(1277,4614)(1278,4613)(1279,4612)(1280,4611)(1281,4610)(1282,4609)(1283,4608)(1284,4607)(1285,4606)(1286,4605)(1287,4604)(1288,4603)(1289,4602)(1290,4601)(1291,4600)(1292,4599)(1293,4598)(1294,4597)(1295,4596)(1296,4595)(1297,4594)(1298,4593)(1299,4592)(1300,4591)(1301,4590)(1302,4589)(1303,4588)(1304,4587)(1305,4586)(1306,4585)(1307,4584)(1308,4583)(1309,4582)(1310,4581)(1311,4580)(1312,4579)(1313,4578)(1314,4577)(1315,4576)(1316,4575)(1317,4574)(1318,4573)(1319,4572)(1320,4571)(1321,4570)(1322,4569)(1323,4568)(1324,4567)(1325,4566)(1326,4565)(1327,4564)(1328,4563)(1329,4562)(1330,4561)(1331,4560)(1332,4559)(1333,4558)(1334,4557)(1335,4556)(1336,4555)(1337,4554)(1338,4553)(1339,4552)(1340,4551)(1341,4550)(1342,4549)(1343,4548)(1344,4547)(1345,4546)(1346,4545)(1347,4544)(1348,4543)(1349,4542)(1350,4541)(1351,4540)(1352,4539)(1353,4538)(1354,4537)(1355,4536)(1356,4535)(1357,4534)(1358,4533)(1359,4532)(1360,4531)(1361,4530)(1362,4529)(1363,4528)(1364,4527)(1365,4526)(1366,4525)(1367,4524)(1368,4523)(1369,4522)(1370,4521)(1371,4520)(1372,4519)(1373,4518)(1374,4517)(1375,4516)(1376,4515)(1377,4514)(1378,4513)(1379,4512)(1380,4511)(1381,4510)(1382,4509)(1383,4508)(1384,4507)(1385,4506)(1386,4505)(1387,4504)(1388,4503)(1389,4502)(1390,4501)(1391,4500)(1392,4499)(1393,4498)(1394,4497)(1395,4496)(1396,4495)(1397,4494)(1398,4493)(1399,4492)(1400,4491)(1401,4490)(1402,4489)(1403,4488)(1404,4487)(1405,4486)(1406,4485)(1407,4484)(1408,4483)(1409,4482)(1410,4481)(1411,4480)(1412,4479)(1413,4478)(1414,4477)(1415,4476)(1416,4475)(1417,4474)(1418,4473)(1419,4472)(1420,4471)(1421,4470)(1422,4469)(1423,4468)(1424,4467)(1425,4466)(1426,4465)(1427,4464)(1428,4463)(1429,4462)(1430,4461)(1431,4460)(1432,4459)(1433,4458)(1434,4457)(1435,4456)(1436,4455)(1437,4454)(1438,4453)(1439,4452)(1440,4451)(1441,4450)(1442,4449)(1443,4448)(1444,4447)(1445,4446)(1446,4445)(1447,4444)(1448,4443)(1449,4442)(1450,4441)(1451,4440)(1452,4439)(1453,4438)(1454,4437)(1455,4436)(1456,4435)(1457,4434)(1458,4433)(1459,4432)(1460,4431)(1461,4430)(1462,4429)(1463,4428)(1464,4427)(1465,4426)(1466,4425)(1467,4424)(1468,4423)(1469,4422)(1470,4421)(1471,4420)(1472,4419)(1473,4418)(1474,4417)(1475,4416)(1476,4415)(1477,4414)(1478,4413)(1479,4412)(1480,4411)(1481,4410)(1482,4409)(1483,4408)(1484,4407)(1485,4406)(1486,4405)(1487,4404)(1488,4403)(1489,4402)(1490,4401)(1491,4400)(1492,4399)(1493,4398)(1494,4397)(1495,4396)(1496,4395)(1497,4394)(1498,4393)(1499,4392)(1500,4391)(1501,4390)(1502,4389)(1503,4388)(1504,4387)(1505,4386)(1506,4385)(1507,4384)(1508,4383)(1509,4382)(1510,4381)(1511,4380)(1512,4379)(1513,4378)(1514,4377)(1515,4376)(1516,4375)(1517,4374)(1518,4373)(1519,4372)(1520,4371)(1521,4370)(1522,4369)(1523,4368)(1524,4367)(1525,4366)(1526,4365)(1527,4364)(1528,4363)(1529,4362)(1530,4361)(1531,4360)(1532,4359)(1533,4358)(1534,4357)(1535,4356)(1536,4355)(1537,4354)(1538,4353)(1539,4352)(1540,4351)(1541,4350)(1542,4349)(1543,4348)(1544,4347)(1545,4346)(1546,4345)(1547,4344)(1548,4343)(1549,4342)(1550,4341)(1551,4340)(1552,4339)(1553,4338)(1554,4337)(1555,4336)(1556,4335)(1557,4334)(1558,4333)(1559,4332)(1560,4331)(1561,4330)(1562,4329)(1563,4328)(1564,4327)(1565,4326)(1566,4325)(1567,4324)(1568,4323)(1569,4322)(1570,4321)(1571,4320)(1572,4319)(1573,4318)(1574,4317)(1575,4316)(1576,4315)(1577,4314)(1578,4313)(1579,4312)(1580,4311)(1581,4310)(1582,4309)(1583,4308)(1584,4307)(1585,4306)(1586,4305)(1587,4304)(1588,4303)(1589,4302)(1590,4301)(1591,4300)(1592,4299)(1593,4298)(1594,4297)(1595,4296)(1596,4295)(1597,4294)(1598,4293)(1599,4292)(1600,4291)(1601,4290)(1602,4289)(1603,4288)(1604,4287)(1605,4286)(1606,4285)(1607,4284)(1608,4283)(1609,4282)(1610,4281)(1611,4280)(1612,4279)(1613,4278)(1614,4277)(1615,4276)(1616,4275)(1617,4274)(1618,4273)(1619,4272)(1620,4271)(1621,4270)(1622,4269)(1623,4268)(1624,4267)(1625,4266)(1626,4265)(1627,4264)(1628,4263)(1629,4262)(1630,4261)(1631,4260)(1632,4259)(1633,4258)(1634,4257)(1635,4256)(1636,4255)(1637,4254)(1638,4253)(1639,4252)(1640,4251)(1641,4250)(1642,4249)(1643,4248)(1644,4247)(1645,4246)(1646,4245)(1647,4244)(1648,4243)(1649,4242)(1650,4241)(1651,4240)(1652,4239)(1653,4238)(1654,4237)(1655,4236)(1656,4235)(1657,4234)(1658,4233)(1659,4232)(1660,4231)(1661,4230)(1662,4229)(1663,4228)(1664,4227)(1665,4226)(1666,4225)(1667,4224)(1668,4223)(1669,4222)(1670,4221)(1671,4220)(1672,4219)(1673,4218)(1674,4217)(1675,4216)(1676,4215)(1677,4214)(1678,4213)(1679,4212)(1680,4211)(1681,4210)(1682,4209)(1683,4208)(1684,4207)(1685,4206)(1686,4205)(1687,4204)(1688,4203)(1689,4202)(1690,4201)(1691,4200)(1692,4199)(1693,4198)(1694,4197)(1695,4196)(1696,4195)(1697,4194)(1698,4193)(1699,4192)(1700,4191)(1701,4190)(1702,4189)(1703,4188)(1704,4187)(1705,4186)(1706,4185)(1707,4184)(1708,4183)(1709,4182)(1710,4181)(1711,4180)(1712,4179)(1713,4178)(1714,4177)(1715,4176)(1716,4175)(1717,4174)(1718,4173)(1719,4172)(1720,4171)(1721,4170)(1722,4169)(1723,4168)(1724,4167)(1725,4166)(1726,4165)(1727,4164)(1728,4163)(1729,4162)(1730,4161)(1731,4160)(1732,4159)(1733,4158)(1734,4157)(1735,4156)(1736,4155)(1737,4154)(1738,4153)(1739,4152)(1740,4151)(1741,4150)(1742,4149)(1743,4148)(1744,4147)(1745,4146)(1746,4145)(1747,4144)(1748,4143)(1749,4142)(1750,4141)(1751,4140)(1752,4139)(1753,4138)(1754,4137)(1755,4136)(1756,4135)(1757,4134)(1758,4133)(1759,4132)(1760,4131)(1761,4130)(1762,4129)(1763,4128)(1764,4127)(1765,4126)(1766,4125)(1767,4124)(1768,4123)(1769,4122)(1770,4121)(1771,4120)(1772,4119)(1773,4118)(1774,4117)(1775,4116)(1776,4115)(1777,4114)(1778,4113)(1779,4112)(1780,4111)(1781,4110)(1782,4109)(1783,4108)(1784,4107)(1785,4106)(1786,4105)(1787,4104)(1788,4103)(1789,4102)(1790,4101)(1791,4100)(1792,4099)(1793,4098)(1794,4097)(1795,4096)(1796,4095)(1797,4094)(1798,4093)(1799,4092)(1800,4091)(1801,4090)(1802,4089)(1803,4088)(1804,4087)(1805,4086)(1806,4085)(1807,4084)(1808,4083)(1809,4082)(1810,4081)(1811,4080)(1812,4079)(1813,4078)(1814,4077)(1815,4076)(1816,4075)(1817,4074)(1818,4073)(1819,4072)(1820,4071)(1821,4070)(1822,4069)(1823,4068)(1824,4067)(1825,4066)(1826,4065)(1827,4064)(1828,4063)(1829,4062)(1830,4061)(1831,4060)(1832,4059)(1833,4058)(1834,4057)(1835,4056)(1836,4055)(1837,4054)(1838,4053)(1839,4052)(1840,4051)(1841,4050)(1842,4049)(1843,4048)(1844,4047)(1845,4046)(1846,4045)(1847,4044)(1848,4043)(1849,4042)(1850,4041)(1851,4040)(1852,4039)(1853,4038)(1854,4037)(1855,4036)(1856,4035)(1857,4034)(1858,4033)(1859,4032)(1860,4031)(1861,4030)(1862,4029)(1863,4028)(1864,4027)(1865,4026)(1866,4025)(1867,4024)(1868,4023)(1869,4022)(1870,4021)(1871,4020)(1872,4019)(1873,4018)(1874,4017)(1875,4016)(1876,4015)(1877,4014)(1878,4013)(1879,4012)(1880,4011)(1881,4010)(1882,4009)(1883,4008)(1884,4007)(1885,4006)(1886,4005)(1887,4004)(1888,4003)(1889,4002)(1890,4001)(1891,4000)(1892,3999)(1893,3998)(1894,3997)(1895,3996)(1896,3995)(1897,3994)(1898,3993)(1899,3992)(1900,3991)(1901,3990)(1902,3989)(1903,3988)(1904,3987)(1905,3986)(1906,3985)(1907,3984)(1908,3983)(1909,3982)(1910,3981)(1911,3980)(1912,3979)(1913,3978)(1914,3977)(1915,3976)(1916,3975)(1917,3974)(1918,3973)(1919,3972)(1920,3971)(1921,3970)(1922,3969)(1923,3968)(1924,3967)(1925,3966)(1926,3965)(1927,3964)(1928,3963)(1929,3962)(1930,3961)(1931,3960)(1932,3959)(1933,3958)(1934,3957)(1935,3956)(1936,3955)(1937,3954)(1938,3953)(1939,3952)(1940,3951)(1941,3950)(1942,3949)(1943,3948)(1944,3947)(1945,3946)(1946,3945)(1947,3944)(1948,3943)(1949,3942)(1950,3941)(1951,3940)(1952,3939)(1953,3938)(1954,3937)(1955,3936)(1956,3935)(1957,3934)(1958,3933)(1959,3932)(1960,3931)(1961,3930)(1962,3929)(1963,3928)(1964,3927)(1965,3926)(1966,3925)(1967,3924)(1968,3923)(1969,3922)(1970,3921)(1971,3920)(1972,3919)(1973,3918)(1974,3917)(1975,3916)(1976,3915)(1977,3914)(1978,3913)(1979,3912)(1980,3911)(1981,3910)(1982,3909)(1983,3908)(1984,3907)(1985,3906)(1986,3905)(1987,3904)(1988,3903)(1989,3902)(1990,3901)(1991,3900)(1992,3899)(1993,3898)(1994,3897)(1995,3896)(1996,3895)(1997,3894)(1998,3893)(1999,3892)(2000,3891)(2001,3890)(2002,3889)(2003,3888)(2004,3887)(2005,3886)(2006,3885)(2007,3884)(2008,3883)(2009,3882)(2010,3881)(2011,3880)(2012,3879)(2013,3878)(2014,3877)(2015,3876)(2016,3875)(2017,3874)(2018,3873)(2019,3872)(2020,3871)(2021,3870)(2022,3869)(2023,3868)(2024,3867)(2025,3866)(2026,3865)(2027,3864)(2028,3863)(2029,3862)(2030,3861)(2031,3860)(2032,3859)(2033,3858)(2034,3857)(2035,3856)(2036,3855)(2037,3854)(2038,3853)(2039,3852)(2040,3851)(2041,3850)(2042,3849)(2043,3848)(2044,3847)(2045,3846)(2046,3845)(2047,3844)(2048,3843)(2049,3842)(2050,3841)(2051,3840)(2052,3839)(2053,3838)(2054,3837)(2055,3836)(2056,3835)(2057,3834)(2058,3833)(2059,3832)(2060,3831)(2061,3830)(2062,3829)(2063,3828)(2064,3827)(2065,3826)(2066,3825)(2067,3824)(2068,3823)(2069,3822)(2070,3821)(2071,3820)(2072,3819)(2073,3818)(2074,3817)(2075,3816)(2076,3815)(2077,3814)(2078,3813)(2079,3812)(2080,3811)(2081,3810)(2082,3809)(2083,3808)(2084,3807)(2085,3806)(2086,3805)(2087,3804)(2088,3803)(2089,3802)(2090,3801)(2091,3800)(2092,3799)(2093,3798)(2094,3797)(2095,3796)(2096,3795)(2097,3794)(2098,3793)(2099,3792)(2100,3791)(2101,3790)(2102,3789)(2103,3788)(2104,3787)(2105,3786)(2106,3785)(2107,3784)(2108,3783)(2109,3782)(2110,3781)(2111,3780)(2112,3779)(2113,3778)(2114,3777)(2115,3776)(2116,3775)(2117,3774)(2118,3773)(2119,3772)(2120,3771)(2121,3770)(2122,3769)(2123,3768)(2124,3767)(2125,3766)(2126,3765)(2127,3764)(2128,3763)(2129,3762)(2130,3761)(2131,3760)(2132,3759)(2133,3758)(2134,3757)(2135,3756)(2136,3755)(2137,3754)(2138,3753)(2139,3752)(2140,3751)(2141,3750)(2142,3749)(2143,3748)(2144,3747)(2145,3746)(2146,3745)(2147,3744)(2148,3743)(2149,3742)(2150,3741)(2151,3740)(2152,3739)(2153,3738)(2154,3737)(2155,3736)(2156,3735)(2157,3734)(2158,3733)(2159,3732)(2160,3731)(2161,3730)(2162,3729)(2163,3728)(2164,3727)(2165,3726)(2166,3725)(2167,3724)(2168,3723)(2169,3722)(2170,3721)(2171,3720)(2172,3719)(2173,3718)(2174,3717)(2175,3716)(2176,3715)(2177,3714)(2178,3713)(2179,3712)(2180,3711)(2181,3710)(2182,3709)(2183,3708)(2184,3707)(2185,3706)(2186,3705)(2187,3704)(2188,3703)(2189,3702)(2190,3701)(2191,3700)(2192,3699)(2193,3698)(2194,3697)(2195,3696)(2196,3695)(2197,3694)(2198,3693)(2199,3692)(2200,3691)(2201,3690)(2202,3689)(2203,3688)(2204,3687)(2205,3686)(2206,3685)(2207,3684)(2208,3683)(2209,3682)(2210,3681)(2211,3680)(2212,3679)(2213,3678)(2214,3677)(2215,3676)(2216,3675)(2217,3674)(2218,3673)(2219,3672)(2220,3671)(2221,3670)(2222,3669)(2223,3668)(2224,3667)(2225,3666)(2226,3665)(2227,3664)(2228,3663)(2229,3662)(2230,3661)(2231,3660)(2232,3659)(2233,3658)(2234,3657)(2235,3656)(2236,3655)(2237,3654)(2238,3653)(2239,3652)(2240,3651)(2241,3650)(2242,3649)(2243,3648)(2244,3647)(2245,3646)(2246,3645)(2247,3644)(2248,3643)(2249,3642)(2250,3641)(2251,3640)(2252,3639)(2253,3638)(2254,3637)(2255,3636)(2256,3635)(2257,3634)(2258,3633)(2259,3632)(2260,3631)(2261,3630)(2262,3629)(2263,3628)(2264,3627)(2265,3626)(2266,3625)(2267,3624)(2268,3623)(2269,3622)(2270,3621)(2271,3620)(2272,3619)(2273,3618)(2274,3617)(2275,3616)(2276,3615)(2277,3614)(2278,3613)(2279,3612)(2280,3611)(2281,3610)(2282,3609)(2283,3608)(2284,3607)(2285,3606)(2286,3605)(2287,3604)(2288,3603)(2289,3602)(2290,3601)(2291,3600)(2292,3599)(2293,3598)(2294,3597)(2295,3596)(2296,3595)(2297,3594)(2298,3593)(2299,3592)(2300,3591)(2301,3590)(2302,3589)(2303,3588)(2304,3587)(2305,3586)(2306,3585)(2307,3584)(2308,3583)(2309,3582)(2310,3581)(2311,3580)(2312,3579)(2313,3578)(2314,3577)(2315,3576)(2316,3575)(2317,3574)(2318,3573)(2319,3572)(2320,3571)(2321,3570)(2322,3569)(2323,3568)(2324,3567)(2325,3566)(2326,3565)(2327,3564)(2328,3563)(2329,3562)(2330,3561)(2331,3560)(2332,3559)(2333,3558)(2334,3557)(2335,3556)(2336,3555)(2337,3554)(2338,3553)(2339,3552)(2340,3551)(2341,3550)(2342,3549)(2343,3548)(2344,3547)(2345,3546)(2346,3545)(2347,3544)(2348,3543)(2349,3542)(2350,3541)(2351,3540)(2352,3539)(2353,3538)(2354,3537)(2355,3536)(2356,3535)(2357,3534)(2358,3533)(2359,3532)(2360,3531)(2361,3530)(2362,3529)(2363,3528)(2364,3527)(2365,3526)(2366,3525)(2367,3524)(2368,3523)(2369,3522)(2370,3521)(2371,3520)(2372,3519)(2373,3518)(2374,3517)(2375,3516)(2376,3515)(2377,3514)(2378,3513)(2379,3512)(2380,3511)(2381,3510)(2382,3509)(2383,3508)(2384,3507)(2385,3506)(2386,3505)(2387,3504)(2388,3503)(2389,3502)(2390,3501)(2391,3500)(2392,3499)(2393,3498)(2394,3497)(2395,3496)(2396,3495)(2397,3494)(2398,3493)(2399,3492)(2400,3491)(2401,3490)(2402,3489)(2403,3488)(2404,3487)(2405,3486)(2406,3485)(2407,3484)(2408,3483)(2409,3482)(2410,3481)(2411,3480)(2412,3479)(2413,3478)(2414,3477)(2415,3476)(2416,3475)(2417,3474)(2418,3473)(2419,3472)(2420,3471)(2421,3470)(2422,3469)(2423,3468)(2424,3467)(2425,3466)(2426,3465)(2427,3464)(2428,3463)(2429,3462)(2430,3461)(2431,3460)(2432,3459)(2433,3458)(2434,3457)(2435,3456)(2436,3455)(2437,3454)(2438,3453)(2439,3452)(2440,3451)(2441,3450)(2442,3449)(2443,3448)(2444,3447)(2445,3446)(2446,3445)(2447,3444)(2448,3443)(2449,3442)(2450,3441)(2451,3440)(2452,3439)(2453,3438)(2454,3437)(2455,3436)(2456,3435)(2457,3434)(2458,3433)(2459,3432)(2460,3431)(2461,3430)(2462,3429)(2463,3428)(2464,3427)(2465,3426)(2466,3425)(2467,3424)(2468,3423)(2469,3422)(2470,3421)(2471,3420)(2472,3419)(2473,3418)(2474,3417)(2475,3416)(2476,3415)(2477,3414)(2478,3413)(2479,3412)(2480,3411)(2481,3410)(2482,3409)(2483,3408)(2484,3407)(2485,3406)(2486,3405)(2487,3404)(2488,3403)(2489,3402)(2490,3401)(2491,3400)(2492,3399)(2493,3398)(2494,3397)(2495,3396)(2496,3395)(2497,3394)(2498,3393)(2499,3392)(2500,3391)(2501,3390)(2502,3389)(2503,3388)(2504,3387)(2505,3386)(2506,3385)(2507,3384)(2508,3383)(2509,3382)(2510,3381)(2511,3380)(2512,3379)(2513,3378)(2514,3377)(2515,3376)(2516,3375)(2517,3374)(2518,3373)(2519,3372)(2520,3371)(2521,3370)(2522,3369)(2523,3368)(2524,3367)(2525,3366)(2526,3365)(2527,3364)(2528,3363)(2529,3362)(2530,3361)(2531,3360)(2532,3359)(2533,3358)(2534,3357)(2535,3356)(2536,3355)(2537,3354)(2538,3353)(2539,3352)(2540,3351)(2541,3350)(2542,3349)(2543,3348)(2544,3347)(2545,3346)(2546,3345)(2547,3344)(2548,3343)(2549,3342)(2550,3341)(2551,3340)(2552,3339)(2553,3338)(2554,3337)(2555,3336)(2556,3335)(2557,3334)(2558,3333)(2559,3332)(2560,3331)(2561,3330)(2562,3329)(2563,3328)(2564,3327)(2565,3326)(2566,3325)(2567,3324)(2568,3323)(2569,3322)(2570,3321)(2571,3320)(2572,3319)(2573,3318)(2574,3317)(2575,3316)(2576,3315)(2577,3314)(2578,3313)(2579,3312)(2580,3311)(2581,3310)(2582,3309)(2583,3308)(2584,3307)(2585,3306)(2586,3305)(2587,3304)(2588,3303)(2589,3302)(2590,3301)(2591,3300)(2592,3299)(2593,3298)(2594,3297)(2595,3296)(2596,3295)(2597,3294)(2598,3293)(2599,3292)(2600,3291)(2601,3290)(2602,3289)(2603,3288)(2604,3287)(2605,3286)(2606,3285)(2607,3284)(2608,3283)(2609,3282)(2610,3281)(2611,3280)(2612,3279)(2613,3278)(2614,3277)(2615,3276)(2616,3275)(2617,3274)(2618,3273)(2619,3272)(2620,3271)(2621,3270)(2622,3269)(2623,3268)(2624,3267)(2625,3266)(2626,3265)(2627,3264)(2628,3263)(2629,3262)(2630,3261)(2631,3260)(2632,3259)(2633,3258)(2634,3257)(2635,3256)(2636,3255)(2637,3254)(2638,3253)(2639,3252)(2640,3251)(2641,3250)(2642,3249)(2643,3248)(2644,3247)(2645,3246)(2646,3245)(2647,3244)(2648,3243)(2649,3242)(2650,3241)(2651,3240)(2652,3239)(2653,3238)(2654,3237)(2655,3236)(2656,3235)(2657,3234)(2658,3233)(2659,3232)(2660,3231)(2661,3230)(2662,3229)(2663,3228)(2664,3227)(2665,3226)(2666,3225)(2667,3224)(2668,3223)(2669,3222)(2670,3221)(2671,3220)(2672,3219)(2673,3218)(2674,3217)(2675,3216)(2676,3215)(2677,3214)(2678,3213)(2679,3212)(2680,3211)(2681,3210)(2682,3209)(2683,3208)(2684,3207)(2685,3206)(2686,3205)(2687,3204)(2688,3203)(2689,3202)(2690,3201)(2691,3200)(2692,3199)(2693,3198)(2694,3197)(2695,3196)(2696,3195)(2697,3194)(2698,3193)(2699,3192)(2700,3191)(2701,3190)(2702,3189)(2703,3188)(2704,3187)(2705,3186)(2706,3185)(2707,3184)(2708,3183)(2709,3182)(2710,3181)(2711,3180)(2712,3179)(2713,3178)(2714,3177)(2715,3176)(2716,3175)(2717,3174)(2718,3173)(2719,3172)(2720,3171)(2721,3170)(2722,3169)(2723,3168)(2724,3167)(2725,3166)(2726,3165)(2727,3164)(2728,3163)(2729,3162)(2730,3161)(2731,3160)(2732,3159)(2733,3158)(2734,3157)(2735,3156)(2736,3155)(2737,3154)(2738,3153)(2739,3152)(2740,3151)(2741,3150)(2742,3149)(2743,3148)(2744,3147)(2745,3146)(2746,3145)(2747,3144)(2748,3143)(2749,3142)(2750,3141)(2751,3140)(2752,3139)(2753,3138)(2754,3137)(2755,3136)(2756,3135)(2757,3134)(2758,3133)(2759,3132)(2760,3131)(2761,3130)(2762,3129)(2763,3128)(2764,3127)(2765,3126)(2766,3125)(2767,3124)(2768,3123)(2769,3122)(2770,3121)(2771,3120)(2772,3119)(2773,3118)(2774,3117)(2775,3116)(2776,3115)(2777,3114)(2778,3113)(2779,3112)(2780,3111)(2781,3110)(2782,3109)(2783,3108)(2784,3107)(2785,3106)(2786,3105)(2787,3104)(2788,3103)(2789,3102)(2790,3101)(2791,3100)(2792,3099)(2793,3098)(2794,3097)(2795,3096)(2796,3095)(2797,3094)(2798,3093)(2799,3092)(2800,3091)(2801,3090)(2802,3089)(2803,3088)(2804,3087)(2805,3086)(2806,3085)(2807,3084)(2808,3083)(2809,3082)(2810,3081)(2811,3080)(2812,3079)(2813,3078)(2814,3077)(2815,3076)(2816,3075)(2817,3074)(2818,3073)(2819,3072)(2820,3071)(2821,3070)(2822,3069)(2823,3068)(2824,3067)(2825,3066)(2826,3065)(2827,3064)(2828,3063)(2829,3062)(2830,3061)(2831,3060)(2832,3059)(2833,3058)(2834,3057)(2835,3056)(2836,3055)(2837,3054)(2838,3053)(2839,3052)(2840,3051)(2841,3050)(2842,3049)(2843,3048)(2844,3047)(2845,3046)(2846,3045)(2847,3044)(2848,3043)(2849,3042)(2850,3041)(2851,3040)(2852,3039)(2853,3038)(2854,3037)(2855,3036)(2856,3035)(2857,3034)(2858,3033)(2859,3032)(2860,3031)(2861,3030)(2862,3029)(2863,3028)(2864,3027)(2865,3026)(2866,3025)(2867,3024)(2868,3023)(2869,3022)(2870,3021)(2871,3020)(2872,3019)(2873,3018)(2874,3017)(2875,3016)(2876,3015)(2877,3014)(2878,3013)(2879,3012)(2880,3011)(2881,3010)(2882,3009)(2883,3008)(2884,3007)(2885,3006)(2886,3005)(2887,3004)(2888,3003)(2889,3002)(2890,3001)(2891,3000)(2892,2999)(2893,2998)(2894,2997)(2895,2996)(2896,2995)(2897,2994)(2898,2993)(2899,2992)(2900,2991)(2901,2990)(2902,2989)(2903,2988)(2904,2987)(2905,2986)(2906,2985)(2907,2984)(2908,2983)(2909,2982)(2910,2981)(2911,2980)(2912,2979)(2913,2978)(2914,2977)(2915,2976)(2916,2975)(2917,2974)(2918,2973)(2919,2972)(2920,2971)(2921,2970)(2922,2969)(2923,2968)(2924,2967)(2925,2966)(2926,2965)(2927,2964)(2928,2963)(2929,2962)(2930,2961)(2931,2960)(2932,2959)(2933,2958)(2934,2957)(2935,2956)(2936,2955)(2937,2954)(2938,2953)(2939,2952)(2940,2951)(2941,2950)(2942,2949)(2943,2948)(2944,2947)(2945,2946)Polycyclic presentation:
2^2,5881|a^2=b,c^a=c^58805884 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(23524, 1);