Finite Group DatabasebetaFinite Group Databasebeta| order | 24812 |
| automorphism | ? |
| homology | Abelianization (H1) = C4 · Schur multiplier (H2) = C1 |
| dicyclic | Dic6203 |
| unambiguous semidirect product | C6203⋊C4 |
| derived, Sylow | C6203 ⋊ C4 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C2 | D6203 |
| commutator, hypocenter | C6203 | C4 |
| Fitting, socle, prime radical, cosocle | C2×C6203 | C2 |
| LCS | G ▷ C6203 | |
| UCS | C1 ◁ C2 | |
6 conjugacy classes of subgroups.
| minimal degree | μ(G) = 6207 |
| transitive degree | μt(G) = 24812 |
A minimal faithful permutation representation — 2 generators on 6207 points:
(1,2)(3,4)(5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,1202,1203,1204,1205,1206,1207,1208,1209,1210,1211,1212,1213,1214,1215,1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,1227,1228,1229,1230,1231,1232,1233,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,1250,1251,1252,1253,1254,1255,1256,1257,1258,1259,1260,1261,1262,1263,1264,1265,1266,1267,1268,1269,1270,1271,1272,1273,1274,1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,1290,1291,1292,1293,1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,1307,1308,1309,1310,1311,1312,1313,1314,1315,1316,1317,1318,1319,1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,1350,1351,1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,1379,1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,1391,1392,1393,1394,1395,1396,1397,1398,1399,1400,1401,1402,1403,1404,1405,1406,1407,1408,1409,1410,1411,1412,1413,1414,1415,1416,1417,1418,1419,1420,1421,1422,1423,1424,1425,1426,1427,1428,1429,1430,1431,1432,1433,1434,1435,1436,1437,1438,1439,1440,1441,1442,1443,1444,1445,1446,1447,1448,1449,1450,1451,1452,1453,1454,1455,1456,1457,1458,1459,1460,1461,1462,1463,1464,1465,1466,1467,1468,1469,1470,1471,1472,1473,1474,1475,1476,1477,1478,1479,1480,1481,1482,1483,1484,1485,1486,1487,1488,1489,1490,1491,1492,1493,1494,1495,1496,1497,1498,1499,1500,1501,1502,1503,1504,1505,1506,1507,1508,1509,1510,1511,1512,1513,1514,1515,1516,1517,1518,1519,1520,1521,1522,1523,1524,1525,1526,1527,1528,1529,1530,1531,1532,1533,1534,1535,1536,1537,1538,1539,1540,1541,1542,1543,1544,1545,1546,1547,1548,1549,1550,1551,1552,1553,1554,1555,1556,1557,1558,1559,1560,1561,1562,1563,1564,1565,1566,1567,1568,1569,1570,1571,1572,1573,1574,1575,1576,1577,1578,1579,1580,1581,1582,1583,1584,1585,1586,1587,1588,1589,1590,1591,1592,1593,1594,1595,1596,1597,1598,1599,1600,1601,1602,1603,1604,1605,1606,1607,1608,1609,1610,1611,1612,1613,1614,1615,1616,1617,1618,1619,1620,1621,1622,1623,1624,1625,1626,1627,1628,1629,1630,1631,1632,1633,1634,1635,1636,1637,1638,1639,1640,1641,1642,1643,1644,1645,1646,1647,1648,1649,1650,1651,1652,1653,1654,1655,1656,1657,1658,1659,1660,1661,1662,1663,1664,1665,1666,1667,1668,1669,1670,1671,1672,1673,1674,1675,1676,1677,1678,1679,1680,1681,1682,1683,1684,1685,1686,1687,1688,1689,1690,1691,1692,1693,1694,1695,1696,1697,1698,1699,1700,1701,1702,1703,1704,1705,1706,1707,1708,1709,1710,1711,1712,1713,1714,1715,1716,1717,1718,1719,1720,1721,1722,1723,1724,1725,1726,1727,1728,1729,1730,1731,1732,1733,1734,1735,1736,1737,1738,1739,1740,1741,1742,1743,1744,1745,1746,1747,1748,1749,1750,1751,1752,1753,1754,1755,1756,1757,1758,1759,1760,1761,1762,1763,1764,1765,1766,1767,1768,1769,1770,1771,1772,1773,1774,1775,1776,1777,1778,1779,1780,1781,1782,1783,1784,1785,1786,1787,1788,1789,1790,1791,1792,1793,1794,1795,1796,1797,1798,1799,1800,1801,1802,1803,1804,1805,1806,1807,1808,1809,1810,1811,1812,1813,1814,1815,1816,1817,1818,1819,1820,1821,1822,1823,1824,1825,1826,1827,1828,1829,1830,1831,1832,1833,1834,1835,1836,1837,1838,1839,1840,1841,1842,1843,1844,1845,1846,1847,1848,1849,1850,1851,1852,1853,1854,1855,1856,1857,1858,1859,1860,1861,1862,1863,1864,1865,1866,1867,1868,1869,1870,1871,1872,1873,1874,1875,1876,1877,1878,1879,1880,1881,1882,1883,1884,1885,1886,1887,1888,1889,1890,1891,1892,1893,1894,1895,1896,1897,1898,1899,1900,1901,1902,1903,1904,1905,1906,1907,1908,1909,1910,1911,1912,1913,1914,1915,1916,1917,1918,1919,1920,1921,1922,1923,1924,1925,1926,1927,1928,1929,1930,1931,1932,1933,1934,1935,1936,1937,1938,1939,1940,1941,1942,1943,1944,1945,1946,1947,1948,1949,1950,1951,1952,1953,1954,1955,1956,1957,1958,1959,1960,1961,1962,1963,1964,1965,1966,1967,1968,1969,1970,1971,1972,1973,1974,1975,1976,1977,1978,1979,1980,1981,1982,1983,1984,1985,1986,1987,1988,1989,1990,1991,1992,1993,1994,1995,1996,1997,1998,1999,2000,2001,2002,2003,2004,2005,2006,2007,2008,2009,2010,2011,2012,2013,2014,2015,2016,2017,2018,2019,2020,2021,2022,2023,2024,2025,2026,2027,2028,2029,2030,2031,2032,2033,2034,2035,2036,2037,2038,2039,2040,2041,2042,2043,2044,2045,2046,2047,2048,2049,2050,2051,2052,2053,2054,2055,2056,2057,2058,2059,2060,2061,2062,2063,2064,2065,2066,2067,2068,2069,2070,2071,2072,2073,2074,2075,2076,2077,2078,2079,2080,2081,2082,2083,2084,2085,2086,2087,2088,2089,2090,2091,2092,2093,2094,2095,2096,2097,2098,2099,2100,2101,2102,2103,2104,2105,2106,2107,2108,2109,2110,2111,2112,2113,2114,2115,2116,2117,2118,2119,2120,2121,2122,2123,2124,2125,2126,2127,2128,2129,2130,2131,2132,2133,2134,2135,2136,2137,2138,2139,2140,2141,2142,2143,2144,2145,2146,2147,2148,2149,2150,2151,2152,2153,2154,2155,2156,2157,2158,2159,2160,2161,2162,2163,2164,2165,2166,2167,2168,2169,2170,2171,2172,2173,2174,2175,2176,2177,2178,2179,2180,2181,2182,2183,2184,2185,2186,2187,2188,2189,2190,2191,2192,2193,2194,2195,2196,2197,2198,2199,2200,2201,2202,2203,2204,2205,2206,2207,2208,2209,2210,2211,2212,2213,2214,2215,2216,2217,2218,2219,2220,2221,2222,2223,2224,2225,2226,2227,2228,2229,2230,2231,2232,2233,2234,2235,2236,2237,2238,2239,2240,2241,2242,2243,2244,2245,2246,2247,2248,2249,2250,2251,2252,2253,2254,2255,2256,2257,2258,2259,2260,2261,2262,2263,2264,2265,2266,2267,2268,2269,2270,2271,2272,2273,2274,2275,2276,2277,2278,2279,2280,2281,2282,2283,2284,2285,2286,2287,2288,2289,2290,2291,2292,2293,2294,2295,2296,2297,2298,2299,2300,2301,2302,2303,2304,2305,2306,2307,2308,2309,2310,2311,2312,2313,2314,2315,2316,2317,2318,2319,2320,2321,2322,2323,2324,2325,2326,2327,2328,2329,2330,2331,2332,2333,2334,2335,2336,2337,2338,2339,2340,2341,2342,2343,2344,2345,2346,2347,2348,2349,2350,2351,2352,2353,2354,2355,2356,2357,2358,2359,2360,2361,2362,2363,2364,2365,2366,2367,2368,2369,2370,2371,2372,2373,2374,2375,2376,2377,2378,2379,2380,2381,2382,2383,2384,2385,2386,2387,2388,2389,2390,2391,2392,2393,2394,2395,2396,2397,2398,2399,2400,2401,2402,2403,2404,2405,2406,2407,2408,2409,2410,2411,2412,2413,2414,2415,2416,2417,2418,2419,2420,2421,2422,2423,2424,2425,2426,2427,2428,2429,2430,2431,2432,2433,2434,2435,2436,2437,2438,2439,2440,2441,2442,2443,2444,2445,2446,2447,2448,2449,2450,2451,2452,2453,2454,2455,2456,2457,2458,2459,2460,2461,2462,2463,2464,2465,2466,2467,2468,2469,2470,2471,2472,2473,2474,2475,2476,2477,2478,2479,2480,2481,2482,2483,2484,2485,2486,2487,2488,2489,2490,2491,2492,2493,2494,2495,2496,2497,2498,2499,2500,2501,2502,2503,2504,2505,2506,2507,2508,2509,2510,2511,2512,2513,2514,2515,2516,2517,2518,2519,2520,2521,2522,2523,2524,2525,2526,2527,2528,2529,2530,2531,2532,2533,2534,2535,2536,2537,2538,2539,2540,2541,2542,2543,2544,2545,2546,2547,2548,2549,2550,2551,2552,2553,2554,2555,2556,2557,2558,2559,2560,2561,2562,2563,2564,2565,2566,2567,2568,2569,2570,2571,2572,2573,2574,2575,2576,2577,2578,2579,2580,2581,2582,2583,2584,2585,2586,2587,2588,2589,2590,2591,2592,2593,2594,2595,2596,2597,2598,2599,2600,2601,2602,2603,2604,2605,2606,2607,2608,2609,2610,2611,2612,2613,2614,2615,2616,2617,2618,2619,2620,2621,2622,2623,2624,2625,2626,2627,2628,2629,2630,2631,2632,2633,2634,2635,2636,2637,2638,2639,2640,2641,2642,2643,2644,2645,2646,2647,2648,2649,2650,2651,2652,2653,2654,2655,2656,2657,2658,2659,2660,2661,2662,2663,2664,2665,2666,2667,2668,2669,2670,2671,2672,2673,2674,2675,2676,2677,2678,2679,2680,2681,2682,2683,2684,2685,2686,2687,2688,2689,2690,2691,2692,2693,2694,2695,2696,2697,2698,2699,2700,2701,2702,2703,2704,2705,2706,2707,2708,2709,2710,2711,2712,2713,2714,2715,2716,2717,2718,2719,2720,2721,2722,2723,2724,2725,2726,2727,2728,2729,2730,2731,2732,2733,2734,2735,2736,2737,2738,2739,2740,2741,2742,2743,2744,2745,2746,2747,2748,2749,2750,2751,2752,2753,2754,2755,2756,2757,2758,2759,2760,2761,2762,2763,2764,2765,2766,2767,2768,2769,2770,2771,2772,2773,2774,2775,2776,2777,2778,2779,2780,2781,2782,2783,2784,2785,2786,2787,2788,2789,2790,2791,2792,2793,2794,2795,2796,2797,2798,2799,2800,2801,2802,2803,2804,2805,2806,2807,2808,2809,2810,2811,2812,2813,2814,2815,2816,2817,2818,2819,2820,2821,2822,2823,2824,2825,2826,2827,2828,2829,2830,2831,2832,2833,2834,2835,2836,2837,2838,2839,2840,2841,2842,2843,2844,2845,2846,2847,2848,2849,2850,2851,2852,2853,2854,2855,2856,2857,2858,2859,2860,2861,2862,2863,2864,2865,2866,2867,2868,2869,2870,2871,2872,2873,2874,2875,2876,2877,2878,2879,2880,2881,2882,2883,2884,2885,2886,2887,2888,2889,2890,2891,2892,2893,2894,2895,2896,2897,2898,2899,2900,2901,2902,2903,2904,2905,2906,2907,2908,2909,2910,2911,2912,2913,2914,2915,2916,2917,2918,2919,2920,2921,2922,2923,2924,2925,2926,2927,2928,2929,2930,2931,2932,2933,2934,2935,2936,2937,2938,2939,2940,2941,2942,2943,2944,2945,2946,2947,2948,2949,2950,2951,2952,2953,2954,2955,2956,2957,2958,2959,2960,2961,2962,2963,2964,2965,2966,2967,2968,2969,2970,2971,2972,2973,2974,2975,2976,2977,2978,2979,2980,2981,2982,2983,2984,2985,2986,2987,2988,2989,2990,2991,2992,2993,2994,2995,2996,2997,2998,2999,3000,3001,3002,3003,3004,3005,3006,3007,3008,3009,3010,3011,3012,3013,3014,3015,3016,3017,3018,3019,3020,3021,3022,3023,3024,3025,3026,3027,3028,3029,3030,3031,3032,3033,3034,3035,3036,3037,3038,3039,3040,3041,3042,3043,3044,3045,3046,3047,3048,3049,3050,3051,3052,3053,3054,3055,3056,3057,3058,3059,3060,3061,3062,3063,3064,3065,3066,3067,3068,3069,3070,3071,3072,3073,3074,3075,3076,3077,3078,3079,3080,3081,3082,3083,3084,3085,3086,3087,3088,3089,3090,3091,3092,3093,3094,3095,3096,3097,3098,3099,3100,3101,3102,3103,3104,3105,3106,3107,3108,3109,3110,3111,3112,3113,3114,3115,3116,3117,3118,3119,3120,3121,3122,3123,3124,3125,3126,3127,3128,3129,3130,3131,3132,3133,3134,3135,3136,3137,3138,3139,3140,3141,3142,3143,3144,3145,3146,3147,3148,3149,3150,3151,3152,3153,3154,3155,3156,3157,3158,3159,3160,3161,3162,3163,3164,3165,3166,3167,3168,3169,3170,3171,3172,3173,3174,3175,3176,3177,3178,3179,3180,3181,3182,3183,3184,3185,3186,3187,3188,3189,3190,3191,3192,3193,3194,3195,3196,3197,3198,3199,3200,3201,3202,3203,3204,3205,3206,3207,3208,3209,3210,3211,3212,3213,3214,3215,3216,3217,3218,3219,3220,3221,3222,3223,3224,3225,3226,3227,3228,3229,3230,3231,3232,3233,3234,3235,3236,3237,3238,3239,3240,3241,3242,3243,3244,3245,3246,3247,3248,3249,3250,3251,3252,3253,3254,3255,3256,3257,3258,3259,3260,3261,3262,3263,3264,3265,3266,3267,3268,3269,3270,3271,3272,3273,3274,3275,3276,3277,3278,3279,3280,3281,3282,3283,3284,3285,3286,3287,3288,3289,3290,3291,3292,3293,3294,3295,3296,3297,3298,3299,3300,3301,3302,3303,3304,3305,3306,3307,3308,3309,3310,3311,3312,3313,3314,3315,3316,3317,3318,3319,3320,3321,3322,3323,3324,3325,3326,3327,3328,3329,3330,3331,3332,3333,3334,3335,3336,3337,3338,3339,3340,3341,3342,3343,3344,3345,3346,3347,3348,3349,3350,3351,3352,3353,3354,3355,3356,3357,3358,3359,3360,3361,3362,3363,3364,3365,3366,3367,3368,3369,3370,3371,3372,3373,3374,3375,3376,3377,3378,3379,3380,3381,3382,3383,3384,3385,3386,3387,3388,3389,3390,3391,3392,3393,3394,3395,3396,3397,3398,3399,3400,3401,3402,3403,3404,3405,3406,3407,3408,3409,3410,3411,3412,3413,3414,3415,3416,3417,3418,3419,3420,3421,3422,3423,3424,3425,3426,3427,3428,3429,3430,3431,3432,3433,3434,3435,3436,3437,3438,3439,3440,3441,3442,3443,3444,3445,3446,3447,3448,3449,3450,3451,3452,3453,3454,3455,3456,3457,3458,3459,3460,3461,3462,3463,3464,3465,3466,3467,3468,3469,3470,3471,3472,3473,3474,3475,3476,3477,3478,3479,3480,3481,3482,3483,3484,3485,3486,3487,3488,3489,3490,3491,3492,3493,3494,3495,3496,3497,3498,3499,3500,3501,3502,3503,3504,3505,3506,3507,3508,3509,3510,3511,3512,3513,3514,3515,3516,3517,3518,3519,3520,3521,3522,3523,3524,3525,3526,3527,3528,3529,3530,3531,3532,3533,3534,3535,3536,3537,3538,3539,3540,3541,3542,3543,3544,3545,3546,3547,3548,3549,3550,3551,3552,3553,3554,3555,3556,3557,3558,3559,3560,3561,3562,3563,3564,3565,3566,3567,3568,3569,3570,3571,3572,3573,3574,3575,3576,3577,3578,3579,3580,3581,3582,3583,3584,3585,3586,3587,3588,3589,3590,3591,3592,3593,3594,3595,3596,3597,3598,3599,3600,3601,3602,3603,3604,3605,3606,3607,3608,3609,3610,3611,3612,3613,3614,3615,3616,3617,3618,3619,3620,3621,3622,3623,3624,3625,3626,3627,3628,3629,3630,3631,3632,3633,3634,3635,3636,3637,3638,3639,3640,3641,3642,3643,3644,3645,3646,3647,3648,3649,3650,3651,3652,3653,3654,3655,3656,3657,3658,3659,3660,3661,3662,3663,3664,3665,3666,3667,3668,3669,3670,3671,3672,3673,3674,3675,3676,3677,3678,3679,3680,3681,3682,3683,3684,3685,3686,3687,3688,3689,3690,3691,3692,3693,3694,3695,3696,3697,3698,3699,3700,3701,3702,3703,3704,3705,3706,3707,3708,3709,3710,3711,3712,3713,3714,3715,3716,3717,3718,3719,3720,3721,3722,3723,3724,3725,3726,3727,3728,3729,3730,3731,3732,3733,3734,3735,3736,3737,3738,3739,3740,3741,3742,3743,3744,3745,3746,3747,3748,3749,3750,3751,3752,3753,3754,3755,3756,3757,3758,3759,3760,3761,3762,3763,3764,3765,3766,3767,3768,3769,3770,3771,3772,3773,3774,3775,3776,3777,3778,3779,3780,3781,3782,3783,3784,3785,3786,3787,3788,3789,3790,3791,3792,3793,3794,3795,3796,3797,3798,3799,3800,3801,3802,3803,3804,3805,3806,3807,3808,3809,3810,3811,3812,3813,3814,3815,3816,3817,3818,3819,3820,3821,3822,3823,3824,3825,3826,3827,3828,3829,3830,3831,3832,3833,3834,3835,3836,3837,3838,3839,3840,3841,3842,3843,3844,3845,3846,3847,3848,3849,3850,3851,3852,3853,3854,3855,3856,3857,3858,3859,3860,3861,3862,3863,3864,3865,3866,3867,3868,3869,3870,3871,3872,3873,3874,3875,3876,3877,3878,3879,3880,3881,3882,3883,3884,3885,3886,3887,3888,3889,3890,3891,3892,3893,3894,3895,3896,3897,3898,3899,3900,3901,3902,3903,3904,3905,3906,3907,3908,3909,3910,3911,3912,3913,3914,3915,3916,3917,3918,3919,3920,3921,3922,3923,3924,3925,3926,3927,3928,3929,3930,3931,3932,3933,3934,3935,3936,3937,3938,3939,3940,3941,3942,3943,3944,3945,3946,3947,3948,3949,3950,3951,3952,3953,3954,3955,3956,3957,3958,3959,3960,3961,3962,3963,3964,3965,3966,3967,3968,3969,3970,3971,3972,3973,3974,3975,3976,3977,3978,3979,3980,3981,3982,3983,3984,3985,3986,3987,3988,3989,3990,3991,3992,3993,3994,3995,3996,3997,3998,3999,4000,4001,4002,4003,4004,4005,4006,4007,4008,4009,4010,4011,4012,4013,4014,4015,4016,4017,4018,4019,4020,4021,4022,4023,4024,4025,4026,4027,4028,4029,4030,4031,4032,4033,4034,4035,4036,4037,4038,4039,4040,4041,4042,4043,4044,4045,4046,4047,4048,4049,4050,4051,4052,4053,4054,4055,4056,4057,4058,4059,4060,4061,4062,4063,4064,4065,4066,4067,4068,4069,4070,4071,4072,4073,4074,4075,4076,4077,4078,4079,4080,4081,4082,4083,4084,4085,4086,4087,4088,4089,4090,4091,4092,4093,4094,4095,4096,4097,4098,4099,4100,4101,4102,4103,4104,4105,4106,4107,4108,4109,4110,4111,4112,4113,4114,4115,4116,4117,4118,4119,4120,4121,4122,4123,4124,4125,4126,4127,4128,4129,4130,4131,4132,4133,4134,4135,4136,4137,4138,4139,4140,4141,4142,4143,4144,4145,4146,4147,4148,4149,4150,4151,4152,4153,4154,4155,4156,4157,4158,4159,4160,4161,4162,4163,4164,4165,4166,4167,4168,4169,4170,4171,4172,4173,4174,4175,4176,4177,4178,4179,4180,4181,4182,4183,4184,4185,4186,4187,4188,4189,4190,4191,4192,4193,4194,4195,4196,4197,4198,4199,4200,4201,4202,4203,4204,4205,4206,4207,4208,4209,4210,4211,4212,4213,4214,4215,4216,4217,4218,4219,4220,4221,4222,4223,4224,4225,4226,4227,4228,4229,4230,4231,4232,4233,4234,4235,4236,4237,4238,4239,4240,4241,4242,4243,4244,4245,4246,4247,4248,4249,4250,4251,4252,4253,4254,4255,4256,4257,4258,4259,4260,4261,4262,4263,4264,4265,4266,4267,4268,4269,4270,4271,4272,4273,4274,4275,4276,4277,4278,4279,4280,4281,4282,4283,4284,4285,4286,4287,4288,4289,4290,4291,4292,4293,4294,4295,4296,4297,4298,4299,4300,4301,4302,4303,4304,4305,4306,4307,4308,4309,4310,4311,4312,4313,4314,4315,4316,4317,4318,4319,4320,4321,4322,4323,4324,4325,4326,4327,4328,4329,4330,4331,4332,4333,4334,4335,4336,4337,4338,4339,4340,4341,4342,4343,4344,4345,4346,4347,4348,4349,4350,4351,4352,4353,4354,4355,4356,4357,4358,4359,4360,4361,4362,4363,4364,4365,4366,4367,4368,4369,4370,4371,4372,4373,4374,4375,4376,4377,4378,4379,4380,4381,4382,4383,4384,4385,4386,4387,4388,4389,4390,4391,4392,4393,4394,4395,4396,4397,4398,4399,4400,4401,4402,4403,4404,4405,4406,4407,4408,4409,4410,4411,4412,4413,4414,4415,4416,4417,4418,4419,4420,4421,4422,4423,4424,4425,4426,4427,4428,4429,4430,4431,4432,4433,4434,4435,4436,4437,4438,4439,4440,4441,4442,4443,4444,4445,4446,4447,4448,4449,4450,4451,4452,4453,4454,4455,4456,4457,4458,4459,4460,4461,4462,4463,4464,4465,4466,4467,4468,4469,4470,4471,4472,4473,4474,4475,4476,4477,4478,4479,4480,4481,4482,4483,4484,4485,4486,4487,4488,4489,4490,4491,4492,4493,4494,4495,4496,4497,4498,4499,4500,4501,4502,4503,4504,4505,4506,4507,4508,4509,4510,4511,4512,4513,4514,4515,4516,4517,4518,4519,4520,4521,4522,4523,4524,4525,4526,4527,4528,4529,4530,4531,4532,4533,4534,4535,4536,4537,4538,4539,4540,4541,4542,4543,4544,4545,4546,4547,4548,4549,4550,4551,4552,4553,4554,4555,4556,4557,4558,4559,4560,4561,4562,4563,4564,4565,4566,4567,4568,4569,4570,4571,4572,4573,4574,4575,4576,4577,4578,4579,4580,4581,4582,4583,4584,4585,4586,4587,4588,4589,4590,4591,4592,4593,4594,4595,4596,4597,4598,4599,4600,4601,4602,4603,4604,4605,4606,4607,4608,4609,4610,4611,4612,4613,4614,4615,4616,4617,4618,4619,4620,4621,4622,4623,4624,4625,4626,4627,4628,4629,4630,4631,4632,4633,4634,4635,4636,4637,4638,4639,4640,4641,4642,4643,4644,4645,4646,4647,4648,4649,4650,4651,4652,4653,4654,4655,4656,4657,4658,4659,4660,4661,4662,4663,4664,4665,4666,4667,4668,4669,4670,4671,4672,4673,4674,4675,4676,4677,4678,4679,4680,4681,4682,4683,4684,4685,4686,4687,4688,4689,4690,4691,4692,4693,4694,4695,4696,4697,4698,4699,4700,4701,4702,4703,4704,4705,4706,4707,4708,4709,4710,4711,4712,4713,4714,4715,4716,4717,4718,4719,4720,4721,4722,4723,4724,4725,4726,4727,4728,4729,4730,4731,4732,4733,4734,4735,4736,4737,4738,4739,4740,4741,4742,4743,4744,4745,4746,4747,4748,4749,4750,4751,4752,4753,4754,4755,4756,4757,4758,4759,4760,4761,4762,4763,4764,4765,4766,4767,4768,4769,4770,4771,4772,4773,4774,4775,4776,4777,4778,4779,4780,4781,4782,4783,4784,4785,4786,4787,4788,4789,4790,4791,4792,4793,4794,4795,4796,4797,4798,4799,4800,4801,4802,4803,4804,4805,4806,4807,4808,4809,4810,4811,4812,4813,4814,4815,4816,4817,4818,4819,4820,4821,4822,4823,4824,4825,4826,4827,4828,4829,4830,4831,4832,4833,4834,4835,4836,4837,4838,4839,4840,4841,4842,4843,4844,4845,4846,4847,4848,4849,4850,4851,4852,4853,4854,4855,4856,4857,4858,4859,4860,4861,4862,4863,4864,4865,4866,4867,4868,4869,4870,4871,4872,4873,4874,4875,4876,4877,4878,4879,4880,4881,4882,4883,4884,4885,4886,4887,4888,4889,4890,4891,4892,4893,4894,4895,4896,4897,4898,4899,4900,4901,4902,4903,4904,4905,4906,4907,4908,4909,4910,4911,4912,4913,4914,4915,4916,4917,4918,4919,4920,4921,4922,4923,4924,4925,4926,4927,4928,4929,4930,4931,4932,4933,4934,4935,4936,4937,4938,4939,4940,4941,4942,4943,4944,4945,4946,4947,4948,4949,4950,4951,4952,4953,4954,4955,4956,4957,4958,4959,4960,4961,4962,4963,4964,4965,4966,4967,4968,4969,4970,4971,4972,4973,4974,4975,4976,4977,4978,4979,4980,4981,4982,4983,4984,4985,4986,4987,4988,4989,4990,4991,4992,4993,4994,4995,4996,4997,4998,4999,5000,5001,5002,5003,5004,5005,5006,5007,5008,5009,5010,5011,5012,5013,5014,5015,5016,5017,5018,5019,5020,5021,5022,5023,5024,5025,5026,5027,5028,5029,5030,5031,5032,5033,5034,5035,5036,5037,5038,5039,5040,5041,5042,5043,5044,5045,5046,5047,5048,5049,5050,5051,5052,5053,5054,5055,5056,5057,5058,5059,5060,5061,5062,5063,5064,5065,5066,5067,5068,5069,5070,5071,5072,5073,5074,5075,5076,5077,5078,5079,5080,5081,5082,5083,5084,5085,5086,5087,5088,5089,5090,5091,5092,5093,5094,5095,5096,5097,5098,5099,5100,5101,5102,5103,5104,5105,5106,5107,5108,5109,5110,5111,5112,5113,5114,5115,5116,5117,5118,5119,5120,5121,5122,5123,5124,5125,5126,5127,5128,5129,5130,5131,5132,5133,5134,5135,5136,5137,5138,5139,5140,5141,5142,5143,5144,5145,5146,5147,5148,5149,5150,5151,5152,5153,5154,5155,5156,5157,5158,5159,5160,5161,5162,5163,5164,5165,5166,5167,5168,5169,5170,5171,5172,5173,5174,5175,5176,5177,5178,5179,5180,5181,5182,5183,5184,5185,5186,5187,5188,5189,5190,5191,5192,5193,5194,5195,5196,5197,5198,5199,5200,5201,5202,5203,5204,5205,5206,5207,5208,5209,5210,5211,5212,5213,5214,5215,5216,5217,5218,5219,5220,5221,5222,5223,5224,5225,5226,5227,5228,5229,5230,5231,5232,5233,5234,5235,5236,5237,5238,5239,5240,5241,5242,5243,5244,5245,5246,5247,5248,5249,5250,5251,5252,5253,5254,5255,5256,5257,5258,5259,5260,5261,5262,5263,5264,5265,5266,5267,5268,5269,5270,5271,5272,5273,5274,5275,5276,5277,5278,5279,5280,5281,5282,5283,5284,5285,5286,5287,5288,5289,5290,5291,5292,5293,5294,5295,5296,5297,5298,5299,5300,5301,5302,5303,5304,5305,5306,5307,5308,5309,5310,5311,5312,5313,5314,5315,5316,5317,5318,5319,5320,5321,5322,5323,5324,5325,5326,5327,5328,5329,5330,5331,5332,5333,5334,5335,5336,5337,5338,5339,5340,5341,5342,5343,5344,5345,5346,5347,5348,5349,5350,5351,5352,5353,5354,5355,5356,5357,5358,5359,5360,5361,5362,5363,5364,5365,5366,5367,5368,5369,5370,5371,5372,5373,5374,5375,5376,5377,5378,5379,5380,5381,5382,5383,5384,5385,5386,5387,5388,5389,5390,5391,5392,5393,5394,5395,5396,5397,5398,5399,5400,5401,5402,5403,5404,5405,5406,5407,5408,5409,5410,5411,5412,5413,5414,5415,5416,5417,5418,5419,5420,5421,5422,5423,5424,5425,5426,5427,5428,5429,5430,5431,5432,5433,5434,5435,5436,5437,5438,5439,5440,5441,5442,5443,5444,5445,5446,5447,5448,5449,5450,5451,5452,5453,5454,5455,5456,5457,5458,5459,5460,5461,5462,5463,5464,5465,5466,5467,5468,5469,5470,5471,5472,5473,5474,5475,5476,5477,5478,5479,5480,5481,5482,5483,5484,5485,5486,5487,5488,5489,5490,5491,5492,5493,5494,5495,5496,5497,5498,5499,5500,5501,5502,5503,5504,5505,5506,5507,5508,5509,5510,5511,5512,5513,5514,5515,5516,5517,5518,5519,5520,5521,5522,5523,5524,5525,5526,5527,5528,5529,5530,5531,5532,5533,5534,5535,5536,5537,5538,5539,5540,5541,5542,5543,5544,5545,5546,5547,5548,5549,5550,5551,5552,5553,5554,5555,5556,5557,5558,5559,5560,5561,5562,5563,5564,5565,5566,5567,5568,5569,5570,5571,5572,5573,5574,5575,5576,5577,5578,5579,5580,5581,5582,5583,5584,5585,5586,5587,5588,5589,5590,5591,5592,5593,5594,5595,5596,5597,5598,5599,5600,5601,5602,5603,5604,5605,5606,5607,5608,5609,5610,5611,5612,5613,5614,5615,5616,5617,5618,5619,5620,5621,5622,5623,5624,5625,5626,5627,5628,5629,5630,5631,5632,5633,5634,5635,5636,5637,5638,5639,5640,5641,5642,5643,5644,5645,5646,5647,5648,5649,5650,5651,5652,5653,5654,5655,5656,5657,5658,5659,5660,5661,5662,5663,5664,5665,5666,5667,5668,5669,5670,5671,5672,5673,5674,5675,5676,5677,5678,5679,5680,5681,5682,5683,5684,5685,5686,5687,5688,5689,5690,5691,5692,5693,5694,5695,5696,5697,5698,5699,5700,5701,5702,5703,5704,5705,5706,5707,5708,5709,5710,5711,5712,5713,5714,5715,5716,5717,5718,5719,5720,5721,5722,5723,5724,5725,5726,5727,5728,5729,5730,5731,5732,5733,5734,5735,5736,5737,5738,5739,5740,5741,5742,5743,5744,5745,5746,5747,5748,5749,5750,5751,5752,5753,5754,5755,5756,5757,5758,5759,5760,5761,5762,5763,5764,5765,5766,5767,5768,5769,5770,5771,5772,5773,5774,5775,5776,5777,5778,5779,5780,5781,5782,5783,5784,5785,5786,5787,5788,5789,5790,5791,5792,5793,5794,5795,5796,5797,5798,5799,5800,5801,5802,5803,5804,5805,5806,5807,5808,5809,5810,5811,5812,5813,5814,5815,5816,5817,5818,5819,5820,5821,5822,5823,5824,5825,5826,5827,5828,5829,5830,5831,5832,5833,5834,5835,5836,5837,5838,5839,5840,5841,5842,5843,5844,5845,5846,5847,5848,5849,5850,5851,5852,5853,5854,5855,5856,5857,5858,5859,5860,5861,5862,5863,5864,5865,5866,5867,5868,5869,5870,5871,5872,5873,5874,5875,5876,5877,5878,5879,5880,5881,5882,5883,5884,5885,5886,5887,5888,5889,5890,5891,5892,5893,5894,5895,5896,5897,5898,5899,5900,5901,5902,5903,5904,5905,5906,5907,5908,5909,5910,5911,5912,5913,5914,5915,5916,5917,5918,5919,5920,5921,5922,5923,5924,5925,5926,5927,5928,5929,5930,5931,5932,5933,5934,5935,5936,5937,5938,5939,5940,5941,5942,5943,5944,5945,5946,5947,5948,5949,5950,5951,5952,5953,5954,5955,5956,5957,5958,5959,5960,5961,5962,5963,5964,5965,5966,5967,5968,5969,5970,5971,5972,5973,5974,5975,5976,5977,5978,5979,5980,5981,5982,5983,5984,5985,5986,5987,5988,5989,5990,5991,5992,5993,5994,5995,5996,5997,5998,5999,6000,6001,6002,6003,6004,6005,6006,6007,6008,6009,6010,6011,6012,6013,6014,6015,6016,6017,6018,6019,6020,6021,6022,6023,6024,6025,6026,6027,6028,6029,6030,6031,6032,6033,6034,6035,6036,6037,6038,6039,6040,6041,6042,6043,6044,6045,6046,6047,6048,6049,6050,6051,6052,6053,6054,6055,6056,6057,6058,6059,6060,6061,6062,6063,6064,6065,6066,6067,6068,6069,6070,6071,6072,6073,6074,6075,6076,6077,6078,6079,6080,6081,6082,6083,6084,6085,6086,6087,6088,6089,6090,6091,6092,6093,6094,6095,6096,6097,6098,6099,6100,6101,6102,6103,6104,6105,6106,6107,6108,6109,6110,6111,6112,6113,6114,6115,6116,6117,6118,6119,6120,6121,6122,6123,6124,6125,6126,6127,6128,6129,6130,6131,6132,6133,6134,6135,6136,6137,6138,6139,6140,6141,6142,6143,6144,6145,6146,6147,6148,6149,6150,6151,6152,6153,6154,6155,6156,6157,6158,6159,6160,6161,6162,6163,6164,6165,6166,6167,6168,6169,6170,6171,6172,6173,6174,6175,6176,6177,6178,6179,6180,6181,6182,6183,6184,6185,6186,6187,6188,6189,6190,6191,6192,6193,6194,6195,6196,6197,6198,6199,6200,6201,6202,6203,6204,6205,6206,6207);(1,3,2,4)(6,6207)(7,6206)(8,6205)(9,6204)(10,6203)(11,6202)(12,6201)(13,6200)(14,6199)(15,6198)(16,6197)(17,6196)(18,6195)(19,6194)(20,6193)(21,6192)(22,6191)(23,6190)(24,6189)(25,6188)(26,6187)(27,6186)(28,6185)(29,6184)(30,6183)(31,6182)(32,6181)(33,6180)(34,6179)(35,6178)(36,6177)(37,6176)(38,6175)(39,6174)(40,6173)(41,6172)(42,6171)(43,6170)(44,6169)(45,6168)(46,6167)(47,6166)(48,6165)(49,6164)(50,6163)(51,6162)(52,6161)(53,6160)(54,6159)(55,6158)(56,6157)(57,6156)(58,6155)(59,6154)(60,6153)(61,6152)(62,6151)(63,6150)(64,6149)(65,6148)(66,6147)(67,6146)(68,6145)(69,6144)(70,6143)(71,6142)(72,6141)(73,6140)(74,6139)(75,6138)(76,6137)(77,6136)(78,6135)(79,6134)(80,6133)(81,6132)(82,6131)(83,6130)(84,6129)(85,6128)(86,6127)(87,6126)(88,6125)(89,6124)(90,6123)(91,6122)(92,6121)(93,6120)(94,6119)(95,6118)(96,6117)(97,6116)(98,6115)(99,6114)(100,6113)(101,6112)(102,6111)(103,6110)(104,6109)(105,6108)(106,6107)(107,6106)(108,6105)(109,6104)(110,6103)(111,6102)(112,6101)(113,6100)(114,6099)(115,6098)(116,6097)(117,6096)(118,6095)(119,6094)(120,6093)(121,6092)(122,6091)(123,6090)(124,6089)(125,6088)(126,6087)(127,6086)(128,6085)(129,6084)(130,6083)(131,6082)(132,6081)(133,6080)(134,6079)(135,6078)(136,6077)(137,6076)(138,6075)(139,6074)(140,6073)(141,6072)(142,6071)(143,6070)(144,6069)(145,6068)(146,6067)(147,6066)(148,6065)(149,6064)(150,6063)(151,6062)(152,6061)(153,6060)(154,6059)(155,6058)(156,6057)(157,6056)(158,6055)(159,6054)(160,6053)(161,6052)(162,6051)(163,6050)(164,6049)(165,6048)(166,6047)(167,6046)(168,6045)(169,6044)(170,6043)(171,6042)(172,6041)(173,6040)(174,6039)(175,6038)(176,6037)(177,6036)(178,6035)(179,6034)(180,6033)(181,6032)(182,6031)(183,6030)(184,6029)(185,6028)(186,6027)(187,6026)(188,6025)(189,6024)(190,6023)(191,6022)(192,6021)(193,6020)(194,6019)(195,6018)(196,6017)(197,6016)(198,6015)(199,6014)(200,6013)(201,6012)(202,6011)(203,6010)(204,6009)(205,6008)(206,6007)(207,6006)(208,6005)(209,6004)(210,6003)(211,6002)(212,6001)(213,6000)(214,5999)(215,5998)(216,5997)(217,5996)(218,5995)(219,5994)(220,5993)(221,5992)(222,5991)(223,5990)(224,5989)(225,5988)(226,5987)(227,5986)(228,5985)(229,5984)(230,5983)(231,5982)(232,5981)(233,5980)(234,5979)(235,5978)(236,5977)(237,5976)(238,5975)(239,5974)(240,5973)(241,5972)(242,5971)(243,5970)(244,5969)(245,5968)(246,5967)(247,5966)(248,5965)(249,5964)(250,5963)(251,5962)(252,5961)(253,5960)(254,5959)(255,5958)(256,5957)(257,5956)(258,5955)(259,5954)(260,5953)(261,5952)(262,5951)(263,5950)(264,5949)(265,5948)(266,5947)(267,5946)(268,5945)(269,5944)(270,5943)(271,5942)(272,5941)(273,5940)(274,5939)(275,5938)(276,5937)(277,5936)(278,5935)(279,5934)(280,5933)(281,5932)(282,5931)(283,5930)(284,5929)(285,5928)(286,5927)(287,5926)(288,5925)(289,5924)(290,5923)(291,5922)(292,5921)(293,5920)(294,5919)(295,5918)(296,5917)(297,5916)(298,5915)(299,5914)(300,5913)(301,5912)(302,5911)(303,5910)(304,5909)(305,5908)(306,5907)(307,5906)(308,5905)(309,5904)(310,5903)(311,5902)(312,5901)(313,5900)(314,5899)(315,5898)(316,5897)(317,5896)(318,5895)(319,5894)(320,5893)(321,5892)(322,5891)(323,5890)(324,5889)(325,5888)(326,5887)(327,5886)(328,5885)(329,5884)(330,5883)(331,5882)(332,5881)(333,5880)(334,5879)(335,5878)(336,5877)(337,5876)(338,5875)(339,5874)(340,5873)(341,5872)(342,5871)(343,5870)(344,5869)(345,5868)(346,5867)(347,5866)(348,5865)(349,5864)(350,5863)(351,5862)(352,5861)(353,5860)(354,5859)(355,5858)(356,5857)(357,5856)(358,5855)(359,5854)(360,5853)(361,5852)(362,5851)(363,5850)(364,5849)(365,5848)(366,5847)(367,5846)(368,5845)(369,5844)(370,5843)(371,5842)(372,5841)(373,5840)(374,5839)(375,5838)(376,5837)(377,5836)(378,5835)(379,5834)(380,5833)(381,5832)(382,5831)(383,5830)(384,5829)(385,5828)(386,5827)(387,5826)(388,5825)(389,5824)(390,5823)(391,5822)(392,5821)(393,5820)(394,5819)(395,5818)(396,5817)(397,5816)(398,5815)(399,5814)(400,5813)(401,5812)(402,5811)(403,5810)(404,5809)(405,5808)(406,5807)(407,5806)(408,5805)(409,5804)(410,5803)(411,5802)(412,5801)(413,5800)(414,5799)(415,5798)(416,5797)(417,5796)(418,5795)(419,5794)(420,5793)(421,5792)(422,5791)(423,5790)(424,5789)(425,5788)(426,5787)(427,5786)(428,5785)(429,5784)(430,5783)(431,5782)(432,5781)(433,5780)(434,5779)(435,5778)(436,5777)(437,5776)(438,5775)(439,5774)(440,5773)(441,5772)(442,5771)(443,5770)(444,5769)(445,5768)(446,5767)(447,5766)(448,5765)(449,5764)(450,5763)(451,5762)(452,5761)(453,5760)(454,5759)(455,5758)(456,5757)(457,5756)(458,5755)(459,5754)(460,5753)(461,5752)(462,5751)(463,5750)(464,5749)(465,5748)(466,5747)(467,5746)(468,5745)(469,5744)(470,5743)(471,5742)(472,5741)(473,5740)(474,5739)(475,5738)(476,5737)(477,5736)(478,5735)(479,5734)(480,5733)(481,5732)(482,5731)(483,5730)(484,5729)(485,5728)(486,5727)(487,5726)(488,5725)(489,5724)(490,5723)(491,5722)(492,5721)(493,5720)(494,5719)(495,5718)(496,5717)(497,5716)(498,5715)(499,5714)(500,5713)(501,5712)(502,5711)(503,5710)(504,5709)(505,5708)(506,5707)(507,5706)(508,5705)(509,5704)(510,5703)(511,5702)(512,5701)(513,5700)(514,5699)(515,5698)(516,5697)(517,5696)(518,5695)(519,5694)(520,5693)(521,5692)(522,5691)(523,5690)(524,5689)(525,5688)(526,5687)(527,5686)(528,5685)(529,5684)(530,5683)(531,5682)(532,5681)(533,5680)(534,5679)(535,5678)(536,5677)(537,5676)(538,5675)(539,5674)(540,5673)(541,5672)(542,5671)(543,5670)(544,5669)(545,5668)(546,5667)(547,5666)(548,5665)(549,5664)(550,5663)(551,5662)(552,5661)(553,5660)(554,5659)(555,5658)(556,5657)(557,5656)(558,5655)(559,5654)(560,5653)(561,5652)(562,5651)(563,5650)(564,5649)(565,5648)(566,5647)(567,5646)(568,5645)(569,5644)(570,5643)(571,5642)(572,5641)(573,5640)(574,5639)(575,5638)(576,5637)(577,5636)(578,5635)(579,5634)(580,5633)(581,5632)(582,5631)(583,5630)(584,5629)(585,5628)(586,5627)(587,5626)(588,5625)(589,5624)(590,5623)(591,5622)(592,5621)(593,5620)(594,5619)(595,5618)(596,5617)(597,5616)(598,5615)(599,5614)(600,5613)(601,5612)(602,5611)(603,5610)(604,5609)(605,5608)(606,5607)(607,5606)(608,5605)(609,5604)(610,5603)(611,5602)(612,5601)(613,5600)(614,5599)(615,5598)(616,5597)(617,5596)(618,5595)(619,5594)(620,5593)(621,5592)(622,5591)(623,5590)(624,5589)(625,5588)(626,5587)(627,5586)(628,5585)(629,5584)(630,5583)(631,5582)(632,5581)(633,5580)(634,5579)(635,5578)(636,5577)(637,5576)(638,5575)(639,5574)(640,5573)(641,5572)(642,5571)(643,5570)(644,5569)(645,5568)(646,5567)(647,5566)(648,5565)(649,5564)(650,5563)(651,5562)(652,5561)(653,5560)(654,5559)(655,5558)(656,5557)(657,5556)(658,5555)(659,5554)(660,5553)(661,5552)(662,5551)(663,5550)(664,5549)(665,5548)(666,5547)(667,5546)(668,5545)(669,5544)(670,5543)(671,5542)(672,5541)(673,5540)(674,5539)(675,5538)(676,5537)(677,5536)(678,5535)(679,5534)(680,5533)(681,5532)(682,5531)(683,5530)(684,5529)(685,5528)(686,5527)(687,5526)(688,5525)(689,5524)(690,5523)(691,5522)(692,5521)(693,5520)(694,5519)(695,5518)(696,5517)(697,5516)(698,5515)(699,5514)(700,5513)(701,5512)(702,5511)(703,5510)(704,5509)(705,5508)(706,5507)(707,5506)(708,5505)(709,5504)(710,5503)(711,5502)(712,5501)(713,5500)(714,5499)(715,5498)(716,5497)(717,5496)(718,5495)(719,5494)(720,5493)(721,5492)(722,5491)(723,5490)(724,5489)(725,5488)(726,5487)(727,5486)(728,5485)(729,5484)(730,5483)(731,5482)(732,5481)(733,5480)(734,5479)(735,5478)(736,5477)(737,5476)(738,5475)(739,5474)(740,5473)(741,5472)(742,5471)(743,5470)(744,5469)(745,5468)(746,5467)(747,5466)(748,5465)(749,5464)(750,5463)(751,5462)(752,5461)(753,5460)(754,5459)(755,5458)(756,5457)(757,5456)(758,5455)(759,5454)(760,5453)(761,5452)(762,5451)(763,5450)(764,5449)(765,5448)(766,5447)(767,5446)(768,5445)(769,5444)(770,5443)(771,5442)(772,5441)(773,5440)(774,5439)(775,5438)(776,5437)(777,5436)(778,5435)(779,5434)(780,5433)(781,5432)(782,5431)(783,5430)(784,5429)(785,5428)(786,5427)(787,5426)(788,5425)(789,5424)(790,5423)(791,5422)(792,5421)(793,5420)(794,5419)(795,5418)(796,5417)(797,5416)(798,5415)(799,5414)(800,5413)(801,5412)(802,5411)(803,5410)(804,5409)(805,5408)(806,5407)(807,5406)(808,5405)(809,5404)(810,5403)(811,5402)(812,5401)(813,5400)(814,5399)(815,5398)(816,5397)(817,5396)(818,5395)(819,5394)(820,5393)(821,5392)(822,5391)(823,5390)(824,5389)(825,5388)(826,5387)(827,5386)(828,5385)(829,5384)(830,5383)(831,5382)(832,5381)(833,5380)(834,5379)(835,5378)(836,5377)(837,5376)(838,5375)(839,5374)(840,5373)(841,5372)(842,5371)(843,5370)(844,5369)(845,5368)(846,5367)(847,5366)(848,5365)(849,5364)(850,5363)(851,5362)(852,5361)(853,5360)(854,5359)(855,5358)(856,5357)(857,5356)(858,5355)(859,5354)(860,5353)(861,5352)(862,5351)(863,5350)(864,5349)(865,5348)(866,5347)(867,5346)(868,5345)(869,5344)(870,5343)(871,5342)(872,5341)(873,5340)(874,5339)(875,5338)(876,5337)(877,5336)(878,5335)(879,5334)(880,5333)(881,5332)(882,5331)(883,5330)(884,5329)(885,5328)(886,5327)(887,5326)(888,5325)(889,5324)(890,5323)(891,5322)(892,5321)(893,5320)(894,5319)(895,5318)(896,5317)(897,5316)(898,5315)(899,5314)(900,5313)(901,5312)(902,5311)(903,5310)(904,5309)(905,5308)(906,5307)(907,5306)(908,5305)(909,5304)(910,5303)(911,5302)(912,5301)(913,5300)(914,5299)(915,5298)(916,5297)(917,5296)(918,5295)(919,5294)(920,5293)(921,5292)(922,5291)(923,5290)(924,5289)(925,5288)(926,5287)(927,5286)(928,5285)(929,5284)(930,5283)(931,5282)(932,5281)(933,5280)(934,5279)(935,5278)(936,5277)(937,5276)(938,5275)(939,5274)(940,5273)(941,5272)(942,5271)(943,5270)(944,5269)(945,5268)(946,5267)(947,5266)(948,5265)(949,5264)(950,5263)(951,5262)(952,5261)(953,5260)(954,5259)(955,5258)(956,5257)(957,5256)(958,5255)(959,5254)(960,5253)(961,5252)(962,5251)(963,5250)(964,5249)(965,5248)(966,5247)(967,5246)(968,5245)(969,5244)(970,5243)(971,5242)(972,5241)(973,5240)(974,5239)(975,5238)(976,5237)(977,5236)(978,5235)(979,5234)(980,5233)(981,5232)(982,5231)(983,5230)(984,5229)(985,5228)(986,5227)(987,5226)(988,5225)(989,5224)(990,5223)(991,5222)(992,5221)(993,5220)(994,5219)(995,5218)(996,5217)(997,5216)(998,5215)(999,5214)(1000,5213)(1001,5212)(1002,5211)(1003,5210)(1004,5209)(1005,5208)(1006,5207)(1007,5206)(1008,5205)(1009,5204)(1010,5203)(1011,5202)(1012,5201)(1013,5200)(1014,5199)(1015,5198)(1016,5197)(1017,5196)(1018,5195)(1019,5194)(1020,5193)(1021,5192)(1022,5191)(1023,5190)(1024,5189)(1025,5188)(1026,5187)(1027,5186)(1028,5185)(1029,5184)(1030,5183)(1031,5182)(1032,5181)(1033,5180)(1034,5179)(1035,5178)(1036,5177)(1037,5176)(1038,5175)(1039,5174)(1040,5173)(1041,5172)(1042,5171)(1043,5170)(1044,5169)(1045,5168)(1046,5167)(1047,5166)(1048,5165)(1049,5164)(1050,5163)(1051,5162)(1052,5161)(1053,5160)(1054,5159)(1055,5158)(1056,5157)(1057,5156)(1058,5155)(1059,5154)(1060,5153)(1061,5152)(1062,5151)(1063,5150)(1064,5149)(1065,5148)(1066,5147)(1067,5146)(1068,5145)(1069,5144)(1070,5143)(1071,5142)(1072,5141)(1073,5140)(1074,5139)(1075,5138)(1076,5137)(1077,5136)(1078,5135)(1079,5134)(1080,5133)(1081,5132)(1082,5131)(1083,5130)(1084,5129)(1085,5128)(1086,5127)(1087,5126)(1088,5125)(1089,5124)(1090,5123)(1091,5122)(1092,5121)(1093,5120)(1094,5119)(1095,5118)(1096,5117)(1097,5116)(1098,5115)(1099,5114)(1100,5113)(1101,5112)(1102,5111)(1103,5110)(1104,5109)(1105,5108)(1106,5107)(1107,5106)(1108,5105)(1109,5104)(1110,5103)(1111,5102)(1112,5101)(1113,5100)(1114,5099)(1115,5098)(1116,5097)(1117,5096)(1118,5095)(1119,5094)(1120,5093)(1121,5092)(1122,5091)(1123,5090)(1124,5089)(1125,5088)(1126,5087)(1127,5086)(1128,5085)(1129,5084)(1130,5083)(1131,5082)(1132,5081)(1133,5080)(1134,5079)(1135,5078)(1136,5077)(1137,5076)(1138,5075)(1139,5074)(1140,5073)(1141,5072)(1142,5071)(1143,5070)(1144,5069)(1145,5068)(1146,5067)(1147,5066)(1148,5065)(1149,5064)(1150,5063)(1151,5062)(1152,5061)(1153,5060)(1154,5059)(1155,5058)(1156,5057)(1157,5056)(1158,5055)(1159,5054)(1160,5053)(1161,5052)(1162,5051)(1163,5050)(1164,5049)(1165,5048)(1166,5047)(1167,5046)(1168,5045)(1169,5044)(1170,5043)(1171,5042)(1172,5041)(1173,5040)(1174,5039)(1175,5038)(1176,5037)(1177,5036)(1178,5035)(1179,5034)(1180,5033)(1181,5032)(1182,5031)(1183,5030)(1184,5029)(1185,5028)(1186,5027)(1187,5026)(1188,5025)(1189,5024)(1190,5023)(1191,5022)(1192,5021)(1193,5020)(1194,5019)(1195,5018)(1196,5017)(1197,5016)(1198,5015)(1199,5014)(1200,5013)(1201,5012)(1202,5011)(1203,5010)(1204,5009)(1205,5008)(1206,5007)(1207,5006)(1208,5005)(1209,5004)(1210,5003)(1211,5002)(1212,5001)(1213,5000)(1214,4999)(1215,4998)(1216,4997)(1217,4996)(1218,4995)(1219,4994)(1220,4993)(1221,4992)(1222,4991)(1223,4990)(1224,4989)(1225,4988)(1226,4987)(1227,4986)(1228,4985)(1229,4984)(1230,4983)(1231,4982)(1232,4981)(1233,4980)(1234,4979)(1235,4978)(1236,4977)(1237,4976)(1238,4975)(1239,4974)(1240,4973)(1241,4972)(1242,4971)(1243,4970)(1244,4969)(1245,4968)(1246,4967)(1247,4966)(1248,4965)(1249,4964)(1250,4963)(1251,4962)(1252,4961)(1253,4960)(1254,4959)(1255,4958)(1256,4957)(1257,4956)(1258,4955)(1259,4954)(1260,4953)(1261,4952)(1262,4951)(1263,4950)(1264,4949)(1265,4948)(1266,4947)(1267,4946)(1268,4945)(1269,4944)(1270,4943)(1271,4942)(1272,4941)(1273,4940)(1274,4939)(1275,4938)(1276,4937)(1277,4936)(1278,4935)(1279,4934)(1280,4933)(1281,4932)(1282,4931)(1283,4930)(1284,4929)(1285,4928)(1286,4927)(1287,4926)(1288,4925)(1289,4924)(1290,4923)(1291,4922)(1292,4921)(1293,4920)(1294,4919)(1295,4918)(1296,4917)(1297,4916)(1298,4915)(1299,4914)(1300,4913)(1301,4912)(1302,4911)(1303,4910)(1304,4909)(1305,4908)(1306,4907)(1307,4906)(1308,4905)(1309,4904)(1310,4903)(1311,4902)(1312,4901)(1313,4900)(1314,4899)(1315,4898)(1316,4897)(1317,4896)(1318,4895)(1319,4894)(1320,4893)(1321,4892)(1322,4891)(1323,4890)(1324,4889)(1325,4888)(1326,4887)(1327,4886)(1328,4885)(1329,4884)(1330,4883)(1331,4882)(1332,4881)(1333,4880)(1334,4879)(1335,4878)(1336,4877)(1337,4876)(1338,4875)(1339,4874)(1340,4873)(1341,4872)(1342,4871)(1343,4870)(1344,4869)(1345,4868)(1346,4867)(1347,4866)(1348,4865)(1349,4864)(1350,4863)(1351,4862)(1352,4861)(1353,4860)(1354,4859)(1355,4858)(1356,4857)(1357,4856)(1358,4855)(1359,4854)(1360,4853)(1361,4852)(1362,4851)(1363,4850)(1364,4849)(1365,4848)(1366,4847)(1367,4846)(1368,4845)(1369,4844)(1370,4843)(1371,4842)(1372,4841)(1373,4840)(1374,4839)(1375,4838)(1376,4837)(1377,4836)(1378,4835)(1379,4834)(1380,4833)(1381,4832)(1382,4831)(1383,4830)(1384,4829)(1385,4828)(1386,4827)(1387,4826)(1388,4825)(1389,4824)(1390,4823)(1391,4822)(1392,4821)(1393,4820)(1394,4819)(1395,4818)(1396,4817)(1397,4816)(1398,4815)(1399,4814)(1400,4813)(1401,4812)(1402,4811)(1403,4810)(1404,4809)(1405,4808)(1406,4807)(1407,4806)(1408,4805)(1409,4804)(1410,4803)(1411,4802)(1412,4801)(1413,4800)(1414,4799)(1415,4798)(1416,4797)(1417,4796)(1418,4795)(1419,4794)(1420,4793)(1421,4792)(1422,4791)(1423,4790)(1424,4789)(1425,4788)(1426,4787)(1427,4786)(1428,4785)(1429,4784)(1430,4783)(1431,4782)(1432,4781)(1433,4780)(1434,4779)(1435,4778)(1436,4777)(1437,4776)(1438,4775)(1439,4774)(1440,4773)(1441,4772)(1442,4771)(1443,4770)(1444,4769)(1445,4768)(1446,4767)(1447,4766)(1448,4765)(1449,4764)(1450,4763)(1451,4762)(1452,4761)(1453,4760)(1454,4759)(1455,4758)(1456,4757)(1457,4756)(1458,4755)(1459,4754)(1460,4753)(1461,4752)(1462,4751)(1463,4750)(1464,4749)(1465,4748)(1466,4747)(1467,4746)(1468,4745)(1469,4744)(1470,4743)(1471,4742)(1472,4741)(1473,4740)(1474,4739)(1475,4738)(1476,4737)(1477,4736)(1478,4735)(1479,4734)(1480,4733)(1481,4732)(1482,4731)(1483,4730)(1484,4729)(1485,4728)(1486,4727)(1487,4726)(1488,4725)(1489,4724)(1490,4723)(1491,4722)(1492,4721)(1493,4720)(1494,4719)(1495,4718)(1496,4717)(1497,4716)(1498,4715)(1499,4714)(1500,4713)(1501,4712)(1502,4711)(1503,4710)(1504,4709)(1505,4708)(1506,4707)(1507,4706)(1508,4705)(1509,4704)(1510,4703)(1511,4702)(1512,4701)(1513,4700)(1514,4699)(1515,4698)(1516,4697)(1517,4696)(1518,4695)(1519,4694)(1520,4693)(1521,4692)(1522,4691)(1523,4690)(1524,4689)(1525,4688)(1526,4687)(1527,4686)(1528,4685)(1529,4684)(1530,4683)(1531,4682)(1532,4681)(1533,4680)(1534,4679)(1535,4678)(1536,4677)(1537,4676)(1538,4675)(1539,4674)(1540,4673)(1541,4672)(1542,4671)(1543,4670)(1544,4669)(1545,4668)(1546,4667)(1547,4666)(1548,4665)(1549,4664)(1550,4663)(1551,4662)(1552,4661)(1553,4660)(1554,4659)(1555,4658)(1556,4657)(1557,4656)(1558,4655)(1559,4654)(1560,4653)(1561,4652)(1562,4651)(1563,4650)(1564,4649)(1565,4648)(1566,4647)(1567,4646)(1568,4645)(1569,4644)(1570,4643)(1571,4642)(1572,4641)(1573,4640)(1574,4639)(1575,4638)(1576,4637)(1577,4636)(1578,4635)(1579,4634)(1580,4633)(1581,4632)(1582,4631)(1583,4630)(1584,4629)(1585,4628)(1586,4627)(1587,4626)(1588,4625)(1589,4624)(1590,4623)(1591,4622)(1592,4621)(1593,4620)(1594,4619)(1595,4618)(1596,4617)(1597,4616)(1598,4615)(1599,4614)(1600,4613)(1601,4612)(1602,4611)(1603,4610)(1604,4609)(1605,4608)(1606,4607)(1607,4606)(1608,4605)(1609,4604)(1610,4603)(1611,4602)(1612,4601)(1613,4600)(1614,4599)(1615,4598)(1616,4597)(1617,4596)(1618,4595)(1619,4594)(1620,4593)(1621,4592)(1622,4591)(1623,4590)(1624,4589)(1625,4588)(1626,4587)(1627,4586)(1628,4585)(1629,4584)(1630,4583)(1631,4582)(1632,4581)(1633,4580)(1634,4579)(1635,4578)(1636,4577)(1637,4576)(1638,4575)(1639,4574)(1640,4573)(1641,4572)(1642,4571)(1643,4570)(1644,4569)(1645,4568)(1646,4567)(1647,4566)(1648,4565)(1649,4564)(1650,4563)(1651,4562)(1652,4561)(1653,4560)(1654,4559)(1655,4558)(1656,4557)(1657,4556)(1658,4555)(1659,4554)(1660,4553)(1661,4552)(1662,4551)(1663,4550)(1664,4549)(1665,4548)(1666,4547)(1667,4546)(1668,4545)(1669,4544)(1670,4543)(1671,4542)(1672,4541)(1673,4540)(1674,4539)(1675,4538)(1676,4537)(1677,4536)(1678,4535)(1679,4534)(1680,4533)(1681,4532)(1682,4531)(1683,4530)(1684,4529)(1685,4528)(1686,4527)(1687,4526)(1688,4525)(1689,4524)(1690,4523)(1691,4522)(1692,4521)(1693,4520)(1694,4519)(1695,4518)(1696,4517)(1697,4516)(1698,4515)(1699,4514)(1700,4513)(1701,4512)(1702,4511)(1703,4510)(1704,4509)(1705,4508)(1706,4507)(1707,4506)(1708,4505)(1709,4504)(1710,4503)(1711,4502)(1712,4501)(1713,4500)(1714,4499)(1715,4498)(1716,4497)(1717,4496)(1718,4495)(1719,4494)(1720,4493)(1721,4492)(1722,4491)(1723,4490)(1724,4489)(1725,4488)(1726,4487)(1727,4486)(1728,4485)(1729,4484)(1730,4483)(1731,4482)(1732,4481)(1733,4480)(1734,4479)(1735,4478)(1736,4477)(1737,4476)(1738,4475)(1739,4474)(1740,4473)(1741,4472)(1742,4471)(1743,4470)(1744,4469)(1745,4468)(1746,4467)(1747,4466)(1748,4465)(1749,4464)(1750,4463)(1751,4462)(1752,4461)(1753,4460)(1754,4459)(1755,4458)(1756,4457)(1757,4456)(1758,4455)(1759,4454)(1760,4453)(1761,4452)(1762,4451)(1763,4450)(1764,4449)(1765,4448)(1766,4447)(1767,4446)(1768,4445)(1769,4444)(1770,4443)(1771,4442)(1772,4441)(1773,4440)(1774,4439)(1775,4438)(1776,4437)(1777,4436)(1778,4435)(1779,4434)(1780,4433)(1781,4432)(1782,4431)(1783,4430)(1784,4429)(1785,4428)(1786,4427)(1787,4426)(1788,4425)(1789,4424)(1790,4423)(1791,4422)(1792,4421)(1793,4420)(1794,4419)(1795,4418)(1796,4417)(1797,4416)(1798,4415)(1799,4414)(1800,4413)(1801,4412)(1802,4411)(1803,4410)(1804,4409)(1805,4408)(1806,4407)(1807,4406)(1808,4405)(1809,4404)(1810,4403)(1811,4402)(1812,4401)(1813,4400)(1814,4399)(1815,4398)(1816,4397)(1817,4396)(1818,4395)(1819,4394)(1820,4393)(1821,4392)(1822,4391)(1823,4390)(1824,4389)(1825,4388)(1826,4387)(1827,4386)(1828,4385)(1829,4384)(1830,4383)(1831,4382)(1832,4381)(1833,4380)(1834,4379)(1835,4378)(1836,4377)(1837,4376)(1838,4375)(1839,4374)(1840,4373)(1841,4372)(1842,4371)(1843,4370)(1844,4369)(1845,4368)(1846,4367)(1847,4366)(1848,4365)(1849,4364)(1850,4363)(1851,4362)(1852,4361)(1853,4360)(1854,4359)(1855,4358)(1856,4357)(1857,4356)(1858,4355)(1859,4354)(1860,4353)(1861,4352)(1862,4351)(1863,4350)(1864,4349)(1865,4348)(1866,4347)(1867,4346)(1868,4345)(1869,4344)(1870,4343)(1871,4342)(1872,4341)(1873,4340)(1874,4339)(1875,4338)(1876,4337)(1877,4336)(1878,4335)(1879,4334)(1880,4333)(1881,4332)(1882,4331)(1883,4330)(1884,4329)(1885,4328)(1886,4327)(1887,4326)(1888,4325)(1889,4324)(1890,4323)(1891,4322)(1892,4321)(1893,4320)(1894,4319)(1895,4318)(1896,4317)(1897,4316)(1898,4315)(1899,4314)(1900,4313)(1901,4312)(1902,4311)(1903,4310)(1904,4309)(1905,4308)(1906,4307)(1907,4306)(1908,4305)(1909,4304)(1910,4303)(1911,4302)(1912,4301)(1913,4300)(1914,4299)(1915,4298)(1916,4297)(1917,4296)(1918,4295)(1919,4294)(1920,4293)(1921,4292)(1922,4291)(1923,4290)(1924,4289)(1925,4288)(1926,4287)(1927,4286)(1928,4285)(1929,4284)(1930,4283)(1931,4282)(1932,4281)(1933,4280)(1934,4279)(1935,4278)(1936,4277)(1937,4276)(1938,4275)(1939,4274)(1940,4273)(1941,4272)(1942,4271)(1943,4270)(1944,4269)(1945,4268)(1946,4267)(1947,4266)(1948,4265)(1949,4264)(1950,4263)(1951,4262)(1952,4261)(1953,4260)(1954,4259)(1955,4258)(1956,4257)(1957,4256)(1958,4255)(1959,4254)(1960,4253)(1961,4252)(1962,4251)(1963,4250)(1964,4249)(1965,4248)(1966,4247)(1967,4246)(1968,4245)(1969,4244)(1970,4243)(1971,4242)(1972,4241)(1973,4240)(1974,4239)(1975,4238)(1976,4237)(1977,4236)(1978,4235)(1979,4234)(1980,4233)(1981,4232)(1982,4231)(1983,4230)(1984,4229)(1985,4228)(1986,4227)(1987,4226)(1988,4225)(1989,4224)(1990,4223)(1991,4222)(1992,4221)(1993,4220)(1994,4219)(1995,4218)(1996,4217)(1997,4216)(1998,4215)(1999,4214)(2000,4213)(2001,4212)(2002,4211)(2003,4210)(2004,4209)(2005,4208)(2006,4207)(2007,4206)(2008,4205)(2009,4204)(2010,4203)(2011,4202)(2012,4201)(2013,4200)(2014,4199)(2015,4198)(2016,4197)(2017,4196)(2018,4195)(2019,4194)(2020,4193)(2021,4192)(2022,4191)(2023,4190)(2024,4189)(2025,4188)(2026,4187)(2027,4186)(2028,4185)(2029,4184)(2030,4183)(2031,4182)(2032,4181)(2033,4180)(2034,4179)(2035,4178)(2036,4177)(2037,4176)(2038,4175)(2039,4174)(2040,4173)(2041,4172)(2042,4171)(2043,4170)(2044,4169)(2045,4168)(2046,4167)(2047,4166)(2048,4165)(2049,4164)(2050,4163)(2051,4162)(2052,4161)(2053,4160)(2054,4159)(2055,4158)(2056,4157)(2057,4156)(2058,4155)(2059,4154)(2060,4153)(2061,4152)(2062,4151)(2063,4150)(2064,4149)(2065,4148)(2066,4147)(2067,4146)(2068,4145)(2069,4144)(2070,4143)(2071,4142)(2072,4141)(2073,4140)(2074,4139)(2075,4138)(2076,4137)(2077,4136)(2078,4135)(2079,4134)(2080,4133)(2081,4132)(2082,4131)(2083,4130)(2084,4129)(2085,4128)(2086,4127)(2087,4126)(2088,4125)(2089,4124)(2090,4123)(2091,4122)(2092,4121)(2093,4120)(2094,4119)(2095,4118)(2096,4117)(2097,4116)(2098,4115)(2099,4114)(2100,4113)(2101,4112)(2102,4111)(2103,4110)(2104,4109)(2105,4108)(2106,4107)(2107,4106)(2108,4105)(2109,4104)(2110,4103)(2111,4102)(2112,4101)(2113,4100)(2114,4099)(2115,4098)(2116,4097)(2117,4096)(2118,4095)(2119,4094)(2120,4093)(2121,4092)(2122,4091)(2123,4090)(2124,4089)(2125,4088)(2126,4087)(2127,4086)(2128,4085)(2129,4084)(2130,4083)(2131,4082)(2132,4081)(2133,4080)(2134,4079)(2135,4078)(2136,4077)(2137,4076)(2138,4075)(2139,4074)(2140,4073)(2141,4072)(2142,4071)(2143,4070)(2144,4069)(2145,4068)(2146,4067)(2147,4066)(2148,4065)(2149,4064)(2150,4063)(2151,4062)(2152,4061)(2153,4060)(2154,4059)(2155,4058)(2156,4057)(2157,4056)(2158,4055)(2159,4054)(2160,4053)(2161,4052)(2162,4051)(2163,4050)(2164,4049)(2165,4048)(2166,4047)(2167,4046)(2168,4045)(2169,4044)(2170,4043)(2171,4042)(2172,4041)(2173,4040)(2174,4039)(2175,4038)(2176,4037)(2177,4036)(2178,4035)(2179,4034)(2180,4033)(2181,4032)(2182,4031)(2183,4030)(2184,4029)(2185,4028)(2186,4027)(2187,4026)(2188,4025)(2189,4024)(2190,4023)(2191,4022)(2192,4021)(2193,4020)(2194,4019)(2195,4018)(2196,4017)(2197,4016)(2198,4015)(2199,4014)(2200,4013)(2201,4012)(2202,4011)(2203,4010)(2204,4009)(2205,4008)(2206,4007)(2207,4006)(2208,4005)(2209,4004)(2210,4003)(2211,4002)(2212,4001)(2213,4000)(2214,3999)(2215,3998)(2216,3997)(2217,3996)(2218,3995)(2219,3994)(2220,3993)(2221,3992)(2222,3991)(2223,3990)(2224,3989)(2225,3988)(2226,3987)(2227,3986)(2228,3985)(2229,3984)(2230,3983)(2231,3982)(2232,3981)(2233,3980)(2234,3979)(2235,3978)(2236,3977)(2237,3976)(2238,3975)(2239,3974)(2240,3973)(2241,3972)(2242,3971)(2243,3970)(2244,3969)(2245,3968)(2246,3967)(2247,3966)(2248,3965)(2249,3964)(2250,3963)(2251,3962)(2252,3961)(2253,3960)(2254,3959)(2255,3958)(2256,3957)(2257,3956)(2258,3955)(2259,3954)(2260,3953)(2261,3952)(2262,3951)(2263,3950)(2264,3949)(2265,3948)(2266,3947)(2267,3946)(2268,3945)(2269,3944)(2270,3943)(2271,3942)(2272,3941)(2273,3940)(2274,3939)(2275,3938)(2276,3937)(2277,3936)(2278,3935)(2279,3934)(2280,3933)(2281,3932)(2282,3931)(2283,3930)(2284,3929)(2285,3928)(2286,3927)(2287,3926)(2288,3925)(2289,3924)(2290,3923)(2291,3922)(2292,3921)(2293,3920)(2294,3919)(2295,3918)(2296,3917)(2297,3916)(2298,3915)(2299,3914)(2300,3913)(2301,3912)(2302,3911)(2303,3910)(2304,3909)(2305,3908)(2306,3907)(2307,3906)(2308,3905)(2309,3904)(2310,3903)(2311,3902)(2312,3901)(2313,3900)(2314,3899)(2315,3898)(2316,3897)(2317,3896)(2318,3895)(2319,3894)(2320,3893)(2321,3892)(2322,3891)(2323,3890)(2324,3889)(2325,3888)(2326,3887)(2327,3886)(2328,3885)(2329,3884)(2330,3883)(2331,3882)(2332,3881)(2333,3880)(2334,3879)(2335,3878)(2336,3877)(2337,3876)(2338,3875)(2339,3874)(2340,3873)(2341,3872)(2342,3871)(2343,3870)(2344,3869)(2345,3868)(2346,3867)(2347,3866)(2348,3865)(2349,3864)(2350,3863)(2351,3862)(2352,3861)(2353,3860)(2354,3859)(2355,3858)(2356,3857)(2357,3856)(2358,3855)(2359,3854)(2360,3853)(2361,3852)(2362,3851)(2363,3850)(2364,3849)(2365,3848)(2366,3847)(2367,3846)(2368,3845)(2369,3844)(2370,3843)(2371,3842)(2372,3841)(2373,3840)(2374,3839)(2375,3838)(2376,3837)(2377,3836)(2378,3835)(2379,3834)(2380,3833)(2381,3832)(2382,3831)(2383,3830)(2384,3829)(2385,3828)(2386,3827)(2387,3826)(2388,3825)(2389,3824)(2390,3823)(2391,3822)(2392,3821)(2393,3820)(2394,3819)(2395,3818)(2396,3817)(2397,3816)(2398,3815)(2399,3814)(2400,3813)(2401,3812)(2402,3811)(2403,3810)(2404,3809)(2405,3808)(2406,3807)(2407,3806)(2408,3805)(2409,3804)(2410,3803)(2411,3802)(2412,3801)(2413,3800)(2414,3799)(2415,3798)(2416,3797)(2417,3796)(2418,3795)(2419,3794)(2420,3793)(2421,3792)(2422,3791)(2423,3790)(2424,3789)(2425,3788)(2426,3787)(2427,3786)(2428,3785)(2429,3784)(2430,3783)(2431,3782)(2432,3781)(2433,3780)(2434,3779)(2435,3778)(2436,3777)(2437,3776)(2438,3775)(2439,3774)(2440,3773)(2441,3772)(2442,3771)(2443,3770)(2444,3769)(2445,3768)(2446,3767)(2447,3766)(2448,3765)(2449,3764)(2450,3763)(2451,3762)(2452,3761)(2453,3760)(2454,3759)(2455,3758)(2456,3757)(2457,3756)(2458,3755)(2459,3754)(2460,3753)(2461,3752)(2462,3751)(2463,3750)(2464,3749)(2465,3748)(2466,3747)(2467,3746)(2468,3745)(2469,3744)(2470,3743)(2471,3742)(2472,3741)(2473,3740)(2474,3739)(2475,3738)(2476,3737)(2477,3736)(2478,3735)(2479,3734)(2480,3733)(2481,3732)(2482,3731)(2483,3730)(2484,3729)(2485,3728)(2486,3727)(2487,3726)(2488,3725)(2489,3724)(2490,3723)(2491,3722)(2492,3721)(2493,3720)(2494,3719)(2495,3718)(2496,3717)(2497,3716)(2498,3715)(2499,3714)(2500,3713)(2501,3712)(2502,3711)(2503,3710)(2504,3709)(2505,3708)(2506,3707)(2507,3706)(2508,3705)(2509,3704)(2510,3703)(2511,3702)(2512,3701)(2513,3700)(2514,3699)(2515,3698)(2516,3697)(2517,3696)(2518,3695)(2519,3694)(2520,3693)(2521,3692)(2522,3691)(2523,3690)(2524,3689)(2525,3688)(2526,3687)(2527,3686)(2528,3685)(2529,3684)(2530,3683)(2531,3682)(2532,3681)(2533,3680)(2534,3679)(2535,3678)(2536,3677)(2537,3676)(2538,3675)(2539,3674)(2540,3673)(2541,3672)(2542,3671)(2543,3670)(2544,3669)(2545,3668)(2546,3667)(2547,3666)(2548,3665)(2549,3664)(2550,3663)(2551,3662)(2552,3661)(2553,3660)(2554,3659)(2555,3658)(2556,3657)(2557,3656)(2558,3655)(2559,3654)(2560,3653)(2561,3652)(2562,3651)(2563,3650)(2564,3649)(2565,3648)(2566,3647)(2567,3646)(2568,3645)(2569,3644)(2570,3643)(2571,3642)(2572,3641)(2573,3640)(2574,3639)(2575,3638)(2576,3637)(2577,3636)(2578,3635)(2579,3634)(2580,3633)(2581,3632)(2582,3631)(2583,3630)(2584,3629)(2585,3628)(2586,3627)(2587,3626)(2588,3625)(2589,3624)(2590,3623)(2591,3622)(2592,3621)(2593,3620)(2594,3619)(2595,3618)(2596,3617)(2597,3616)(2598,3615)(2599,3614)(2600,3613)(2601,3612)(2602,3611)(2603,3610)(2604,3609)(2605,3608)(2606,3607)(2607,3606)(2608,3605)(2609,3604)(2610,3603)(2611,3602)(2612,3601)(2613,3600)(2614,3599)(2615,3598)(2616,3597)(2617,3596)(2618,3595)(2619,3594)(2620,3593)(2621,3592)(2622,3591)(2623,3590)(2624,3589)(2625,3588)(2626,3587)(2627,3586)(2628,3585)(2629,3584)(2630,3583)(2631,3582)(2632,3581)(2633,3580)(2634,3579)(2635,3578)(2636,3577)(2637,3576)(2638,3575)(2639,3574)(2640,3573)(2641,3572)(2642,3571)(2643,3570)(2644,3569)(2645,3568)(2646,3567)(2647,3566)(2648,3565)(2649,3564)(2650,3563)(2651,3562)(2652,3561)(2653,3560)(2654,3559)(2655,3558)(2656,3557)(2657,3556)(2658,3555)(2659,3554)(2660,3553)(2661,3552)(2662,3551)(2663,3550)(2664,3549)(2665,3548)(2666,3547)(2667,3546)(2668,3545)(2669,3544)(2670,3543)(2671,3542)(2672,3541)(2673,3540)(2674,3539)(2675,3538)(2676,3537)(2677,3536)(2678,3535)(2679,3534)(2680,3533)(2681,3532)(2682,3531)(2683,3530)(2684,3529)(2685,3528)(2686,3527)(2687,3526)(2688,3525)(2689,3524)(2690,3523)(2691,3522)(2692,3521)(2693,3520)(2694,3519)(2695,3518)(2696,3517)(2697,3516)(2698,3515)(2699,3514)(2700,3513)(2701,3512)(2702,3511)(2703,3510)(2704,3509)(2705,3508)(2706,3507)(2707,3506)(2708,3505)(2709,3504)(2710,3503)(2711,3502)(2712,3501)(2713,3500)(2714,3499)(2715,3498)(2716,3497)(2717,3496)(2718,3495)(2719,3494)(2720,3493)(2721,3492)(2722,3491)(2723,3490)(2724,3489)(2725,3488)(2726,3487)(2727,3486)(2728,3485)(2729,3484)(2730,3483)(2731,3482)(2732,3481)(2733,3480)(2734,3479)(2735,3478)(2736,3477)(2737,3476)(2738,3475)(2739,3474)(2740,3473)(2741,3472)(2742,3471)(2743,3470)(2744,3469)(2745,3468)(2746,3467)(2747,3466)(2748,3465)(2749,3464)(2750,3463)(2751,3462)(2752,3461)(2753,3460)(2754,3459)(2755,3458)(2756,3457)(2757,3456)(2758,3455)(2759,3454)(2760,3453)(2761,3452)(2762,3451)(2763,3450)(2764,3449)(2765,3448)(2766,3447)(2767,3446)(2768,3445)(2769,3444)(2770,3443)(2771,3442)(2772,3441)(2773,3440)(2774,3439)(2775,3438)(2776,3437)(2777,3436)(2778,3435)(2779,3434)(2780,3433)(2781,3432)(2782,3431)(2783,3430)(2784,3429)(2785,3428)(2786,3427)(2787,3426)(2788,3425)(2789,3424)(2790,3423)(2791,3422)(2792,3421)(2793,3420)(2794,3419)(2795,3418)(2796,3417)(2797,3416)(2798,3415)(2799,3414)(2800,3413)(2801,3412)(2802,3411)(2803,3410)(2804,3409)(2805,3408)(2806,3407)(2807,3406)(2808,3405)(2809,3404)(2810,3403)(2811,3402)(2812,3401)(2813,3400)(2814,3399)(2815,3398)(2816,3397)(2817,3396)(2818,3395)(2819,3394)(2820,3393)(2821,3392)(2822,3391)(2823,3390)(2824,3389)(2825,3388)(2826,3387)(2827,3386)(2828,3385)(2829,3384)(2830,3383)(2831,3382)(2832,3381)(2833,3380)(2834,3379)(2835,3378)(2836,3377)(2837,3376)(2838,3375)(2839,3374)(2840,3373)(2841,3372)(2842,3371)(2843,3370)(2844,3369)(2845,3368)(2846,3367)(2847,3366)(2848,3365)(2849,3364)(2850,3363)(2851,3362)(2852,3361)(2853,3360)(2854,3359)(2855,3358)(2856,3357)(2857,3356)(2858,3355)(2859,3354)(2860,3353)(2861,3352)(2862,3351)(2863,3350)(2864,3349)(2865,3348)(2866,3347)(2867,3346)(2868,3345)(2869,3344)(2870,3343)(2871,3342)(2872,3341)(2873,3340)(2874,3339)(2875,3338)(2876,3337)(2877,3336)(2878,3335)(2879,3334)(2880,3333)(2881,3332)(2882,3331)(2883,3330)(2884,3329)(2885,3328)(2886,3327)(2887,3326)(2888,3325)(2889,3324)(2890,3323)(2891,3322)(2892,3321)(2893,3320)(2894,3319)(2895,3318)(2896,3317)(2897,3316)(2898,3315)(2899,3314)(2900,3313)(2901,3312)(2902,3311)(2903,3310)(2904,3309)(2905,3308)(2906,3307)(2907,3306)(2908,3305)(2909,3304)(2910,3303)(2911,3302)(2912,3301)(2913,3300)(2914,3299)(2915,3298)(2916,3297)(2917,3296)(2918,3295)(2919,3294)(2920,3293)(2921,3292)(2922,3291)(2923,3290)(2924,3289)(2925,3288)(2926,3287)(2927,3286)(2928,3285)(2929,3284)(2930,3283)(2931,3282)(2932,3281)(2933,3280)(2934,3279)(2935,3278)(2936,3277)(2937,3276)(2938,3275)(2939,3274)(2940,3273)(2941,3272)(2942,3271)(2943,3270)(2944,3269)(2945,3268)(2946,3267)(2947,3266)(2948,3265)(2949,3264)(2950,3263)(2951,3262)(2952,3261)(2953,3260)(2954,3259)(2955,3258)(2956,3257)(2957,3256)(2958,3255)(2959,3254)(2960,3253)(2961,3252)(2962,3251)(2963,3250)(2964,3249)(2965,3248)(2966,3247)(2967,3246)(2968,3245)(2969,3244)(2970,3243)(2971,3242)(2972,3241)(2973,3240)(2974,3239)(2975,3238)(2976,3237)(2977,3236)(2978,3235)(2979,3234)(2980,3233)(2981,3232)(2982,3231)(2983,3230)(2984,3229)(2985,3228)(2986,3227)(2987,3226)(2988,3225)(2989,3224)(2990,3223)(2991,3222)(2992,3221)(2993,3220)(2994,3219)(2995,3218)(2996,3217)(2997,3216)(2998,3215)(2999,3214)(3000,3213)(3001,3212)(3002,3211)(3003,3210)(3004,3209)(3005,3208)(3006,3207)(3007,3206)(3008,3205)(3009,3204)(3010,3203)(3011,3202)(3012,3201)(3013,3200)(3014,3199)(3015,3198)(3016,3197)(3017,3196)(3018,3195)(3019,3194)(3020,3193)(3021,3192)(3022,3191)(3023,3190)(3024,3189)(3025,3188)(3026,3187)(3027,3186)(3028,3185)(3029,3184)(3030,3183)(3031,3182)(3032,3181)(3033,3180)(3034,3179)(3035,3178)(3036,3177)(3037,3176)(3038,3175)(3039,3174)(3040,3173)(3041,3172)(3042,3171)(3043,3170)(3044,3169)(3045,3168)(3046,3167)(3047,3166)(3048,3165)(3049,3164)(3050,3163)(3051,3162)(3052,3161)(3053,3160)(3054,3159)(3055,3158)(3056,3157)(3057,3156)(3058,3155)(3059,3154)(3060,3153)(3061,3152)(3062,3151)(3063,3150)(3064,3149)(3065,3148)(3066,3147)(3067,3146)(3068,3145)(3069,3144)(3070,3143)(3071,3142)(3072,3141)(3073,3140)(3074,3139)(3075,3138)(3076,3137)(3077,3136)(3078,3135)(3079,3134)(3080,3133)(3081,3132)(3082,3131)(3083,3130)(3084,3129)(3085,3128)(3086,3127)(3087,3126)(3088,3125)(3089,3124)(3090,3123)(3091,3122)(3092,3121)(3093,3120)(3094,3119)(3095,3118)(3096,3117)(3097,3116)(3098,3115)(3099,3114)(3100,3113)(3101,3112)(3102,3111)(3103,3110)(3104,3109)(3105,3108)(3106,3107)Polycyclic presentation:
2^2,6203|a^2=b,c^a=c^62026206 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(24812, 1);