Finite Group DatabasebetaFinite Group Databasebeta| order | 25876 |
| automorphism | ? |
| homology | Abelianization (H1) = C4 · Schur multiplier (H2) = C1 |
| dicyclic | Dic6469 |
| derived, Sylow | C6469 ⋊ C4 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C2 | D6469 |
| commutator, hypocenter | C6469 | C4 |
| Fitting, socle, prime radical, cosocle | C2×C6469 | C2 |
| LCS | G ▷ C6469 | |
| UCS | C1 ◁ C2 | |
6 conjugacy classes of subgroups.
| minimal degree | μ(G) = 6473 |
| transitive degree | μt(G) = 25876 |
A minimal faithful permutation representation — 2 generators on 6473 points:
(1,2)(3,4)(5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,1202,1203,1204,1205,1206,1207,1208,1209,1210,1211,1212,1213,1214,1215,1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,1227,1228,1229,1230,1231,1232,1233,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,1250,1251,1252,1253,1254,1255,1256,1257,1258,1259,1260,1261,1262,1263,1264,1265,1266,1267,1268,1269,1270,1271,1272,1273,1274,1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,1290,1291,1292,1293,1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,1307,1308,1309,1310,1311,1312,1313,1314,1315,1316,1317,1318,1319,1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,1350,1351,1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,1379,1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,1391,1392,1393,1394,1395,1396,1397,1398,1399,1400,1401,1402,1403,1404,1405,1406,1407,1408,1409,1410,1411,1412,1413,1414,1415,1416,1417,1418,1419,1420,1421,1422,1423,1424,1425,1426,1427,1428,1429,1430,1431,1432,1433,1434,1435,1436,1437,1438,1439,1440,1441,1442,1443,1444,1445,1446,1447,1448,1449,1450,1451,1452,1453,1454,1455,1456,1457,1458,1459,1460,1461,1462,1463,1464,1465,1466,1467,1468,1469,1470,1471,1472,1473,1474,1475,1476,1477,1478,1479,1480,1481,1482,1483,1484,1485,1486,1487,1488,1489,1490,1491,1492,1493,1494,1495,1496,1497,1498,1499,1500,1501,1502,1503,1504,1505,1506,1507,1508,1509,1510,1511,1512,1513,1514,1515,1516,1517,1518,1519,1520,1521,1522,1523,1524,1525,1526,1527,1528,1529,1530,1531,1532,1533,1534,1535,1536,1537,1538,1539,1540,1541,1542,1543,1544,1545,1546,1547,1548,1549,1550,1551,1552,1553,1554,1555,1556,1557,1558,1559,1560,1561,1562,1563,1564,1565,1566,1567,1568,1569,1570,1571,1572,1573,1574,1575,1576,1577,1578,1579,1580,1581,1582,1583,1584,1585,1586,1587,1588,1589,1590,1591,1592,1593,1594,1595,1596,1597,1598,1599,1600,1601,1602,1603,1604,1605,1606,1607,1608,1609,1610,1611,1612,1613,1614,1615,1616,1617,1618,1619,1620,1621,1622,1623,1624,1625,1626,1627,1628,1629,1630,1631,1632,1633,1634,1635,1636,1637,1638,1639,1640,1641,1642,1643,1644,1645,1646,1647,1648,1649,1650,1651,1652,1653,1654,1655,1656,1657,1658,1659,1660,1661,1662,1663,1664,1665,1666,1667,1668,1669,1670,1671,1672,1673,1674,1675,1676,1677,1678,1679,1680,1681,1682,1683,1684,1685,1686,1687,1688,1689,1690,1691,1692,1693,1694,1695,1696,1697,1698,1699,1700,1701,1702,1703,1704,1705,1706,1707,1708,1709,1710,1711,1712,1713,1714,1715,1716,1717,1718,1719,1720,1721,1722,1723,1724,1725,1726,1727,1728,1729,1730,1731,1732,1733,1734,1735,1736,1737,1738,1739,1740,1741,1742,1743,1744,1745,1746,1747,1748,1749,1750,1751,1752,1753,1754,1755,1756,1757,1758,1759,1760,1761,1762,1763,1764,1765,1766,1767,1768,1769,1770,1771,1772,1773,1774,1775,1776,1777,1778,1779,1780,1781,1782,1783,1784,1785,1786,1787,1788,1789,1790,1791,1792,1793,1794,1795,1796,1797,1798,1799,1800,1801,1802,1803,1804,1805,1806,1807,1808,1809,1810,1811,1812,1813,1814,1815,1816,1817,1818,1819,1820,1821,1822,1823,1824,1825,1826,1827,1828,1829,1830,1831,1832,1833,1834,1835,1836,1837,1838,1839,1840,1841,1842,1843,1844,1845,1846,1847,1848,1849,1850,1851,1852,1853,1854,1855,1856,1857,1858,1859,1860,1861,1862,1863,1864,1865,1866,1867,1868,1869,1870,1871,1872,1873,1874,1875,1876,1877,1878,1879,1880,1881,1882,1883,1884,1885,1886,1887,1888,1889,1890,1891,1892,1893,1894,1895,1896,1897,1898,1899,1900,1901,1902,1903,1904,1905,1906,1907,1908,1909,1910,1911,1912,1913,1914,1915,1916,1917,1918,1919,1920,1921,1922,1923,1924,1925,1926,1927,1928,1929,1930,1931,1932,1933,1934,1935,1936,1937,1938,1939,1940,1941,1942,1943,1944,1945,1946,1947,1948,1949,1950,1951,1952,1953,1954,1955,1956,1957,1958,1959,1960,1961,1962,1963,1964,1965,1966,1967,1968,1969,1970,1971,1972,1973,1974,1975,1976,1977,1978,1979,1980,1981,1982,1983,1984,1985,1986,1987,1988,1989,1990,1991,1992,1993,1994,1995,1996,1997,1998,1999,2000,2001,2002,2003,2004,2005,2006,2007,2008,2009,2010,2011,2012,2013,2014,2015,2016,2017,2018,2019,2020,2021,2022,2023,2024,2025,2026,2027,2028,2029,2030,2031,2032,2033,2034,2035,2036,2037,2038,2039,2040,2041,2042,2043,2044,2045,2046,2047,2048,2049,2050,2051,2052,2053,2054,2055,2056,2057,2058,2059,2060,2061,2062,2063,2064,2065,2066,2067,2068,2069,2070,2071,2072,2073,2074,2075,2076,2077,2078,2079,2080,2081,2082,2083,2084,2085,2086,2087,2088,2089,2090,2091,2092,2093,2094,2095,2096,2097,2098,2099,2100,2101,2102,2103,2104,2105,2106,2107,2108,2109,2110,2111,2112,2113,2114,2115,2116,2117,2118,2119,2120,2121,2122,2123,2124,2125,2126,2127,2128,2129,2130,2131,2132,2133,2134,2135,2136,2137,2138,2139,2140,2141,2142,2143,2144,2145,2146,2147,2148,2149,2150,2151,2152,2153,2154,2155,2156,2157,2158,2159,2160,2161,2162,2163,2164,2165,2166,2167,2168,2169,2170,2171,2172,2173,2174,2175,2176,2177,2178,2179,2180,2181,2182,2183,2184,2185,2186,2187,2188,2189,2190,2191,2192,2193,2194,2195,2196,2197,2198,2199,2200,2201,2202,2203,2204,2205,2206,2207,2208,2209,2210,2211,2212,2213,2214,2215,2216,2217,2218,2219,2220,2221,2222,2223,2224,2225,2226,2227,2228,2229,2230,2231,2232,2233,2234,2235,2236,2237,2238,2239,2240,2241,2242,2243,2244,2245,2246,2247,2248,2249,2250,2251,2252,2253,2254,2255,2256,2257,2258,2259,2260,2261,2262,2263,2264,2265,2266,2267,2268,2269,2270,2271,2272,2273,2274,2275,2276,2277,2278,2279,2280,2281,2282,2283,2284,2285,2286,2287,2288,2289,2290,2291,2292,2293,2294,2295,2296,2297,2298,2299,2300,2301,2302,2303,2304,2305,2306,2307,2308,2309,2310,2311,2312,2313,2314,2315,2316,2317,2318,2319,2320,2321,2322,2323,2324,2325,2326,2327,2328,2329,2330,2331,2332,2333,2334,2335,2336,2337,2338,2339,2340,2341,2342,2343,2344,2345,2346,2347,2348,2349,2350,2351,2352,2353,2354,2355,2356,2357,2358,2359,2360,2361,2362,2363,2364,2365,2366,2367,2368,2369,2370,2371,2372,2373,2374,2375,2376,2377,2378,2379,2380,2381,2382,2383,2384,2385,2386,2387,2388,2389,2390,2391,2392,2393,2394,2395,2396,2397,2398,2399,2400,2401,2402,2403,2404,2405,2406,2407,2408,2409,2410,2411,2412,2413,2414,2415,2416,2417,2418,2419,2420,2421,2422,2423,2424,2425,2426,2427,2428,2429,2430,2431,2432,2433,2434,2435,2436,2437,2438,2439,2440,2441,2442,2443,2444,2445,2446,2447,2448,2449,2450,2451,2452,2453,2454,2455,2456,2457,2458,2459,2460,2461,2462,2463,2464,2465,2466,2467,2468,2469,2470,2471,2472,2473,2474,2475,2476,2477,2478,2479,2480,2481,2482,2483,2484,2485,2486,2487,2488,2489,2490,2491,2492,2493,2494,2495,2496,2497,2498,2499,2500,2501,2502,2503,2504,2505,2506,2507,2508,2509,2510,2511,2512,2513,2514,2515,2516,2517,2518,2519,2520,2521,2522,2523,2524,2525,2526,2527,2528,2529,2530,2531,2532,2533,2534,2535,2536,2537,2538,2539,2540,2541,2542,2543,2544,2545,2546,2547,2548,2549,2550,2551,2552,2553,2554,2555,2556,2557,2558,2559,2560,2561,2562,2563,2564,2565,2566,2567,2568,2569,2570,2571,2572,2573,2574,2575,2576,2577,2578,2579,2580,2581,2582,2583,2584,2585,2586,2587,2588,2589,2590,2591,2592,2593,2594,2595,2596,2597,2598,2599,2600,2601,2602,2603,2604,2605,2606,2607,2608,2609,2610,2611,2612,2613,2614,2615,2616,2617,2618,2619,2620,2621,2622,2623,2624,2625,2626,2627,2628,2629,2630,2631,2632,2633,2634,2635,2636,2637,2638,2639,2640,2641,2642,2643,2644,2645,2646,2647,2648,2649,2650,2651,2652,2653,2654,2655,2656,2657,2658,2659,2660,2661,2662,2663,2664,2665,2666,2667,2668,2669,2670,2671,2672,2673,2674,2675,2676,2677,2678,2679,2680,2681,2682,2683,2684,2685,2686,2687,2688,2689,2690,2691,2692,2693,2694,2695,2696,2697,2698,2699,2700,2701,2702,2703,2704,2705,2706,2707,2708,2709,2710,2711,2712,2713,2714,2715,2716,2717,2718,2719,2720,2721,2722,2723,2724,2725,2726,2727,2728,2729,2730,2731,2732,2733,2734,2735,2736,2737,2738,2739,2740,2741,2742,2743,2744,2745,2746,2747,2748,2749,2750,2751,2752,2753,2754,2755,2756,2757,2758,2759,2760,2761,2762,2763,2764,2765,2766,2767,2768,2769,2770,2771,2772,2773,2774,2775,2776,2777,2778,2779,2780,2781,2782,2783,2784,2785,2786,2787,2788,2789,2790,2791,2792,2793,2794,2795,2796,2797,2798,2799,2800,2801,2802,2803,2804,2805,2806,2807,2808,2809,2810,2811,2812,2813,2814,2815,2816,2817,2818,2819,2820,2821,2822,2823,2824,2825,2826,2827,2828,2829,2830,2831,2832,2833,2834,2835,2836,2837,2838,2839,2840,2841,2842,2843,2844,2845,2846,2847,2848,2849,2850,2851,2852,2853,2854,2855,2856,2857,2858,2859,2860,2861,2862,2863,2864,2865,2866,2867,2868,2869,2870,2871,2872,2873,2874,2875,2876,2877,2878,2879,2880,2881,2882,2883,2884,2885,2886,2887,2888,2889,2890,2891,2892,2893,2894,2895,2896,2897,2898,2899,2900,2901,2902,2903,2904,2905,2906,2907,2908,2909,2910,2911,2912,2913,2914,2915,2916,2917,2918,2919,2920,2921,2922,2923,2924,2925,2926,2927,2928,2929,2930,2931,2932,2933,2934,2935,2936,2937,2938,2939,2940,2941,2942,2943,2944,2945,2946,2947,2948,2949,2950,2951,2952,2953,2954,2955,2956,2957,2958,2959,2960,2961,2962,2963,2964,2965,2966,2967,2968,2969,2970,2971,2972,2973,2974,2975,2976,2977,2978,2979,2980,2981,2982,2983,2984,2985,2986,2987,2988,2989,2990,2991,2992,2993,2994,2995,2996,2997,2998,2999,3000,3001,3002,3003,3004,3005,3006,3007,3008,3009,3010,3011,3012,3013,3014,3015,3016,3017,3018,3019,3020,3021,3022,3023,3024,3025,3026,3027,3028,3029,3030,3031,3032,3033,3034,3035,3036,3037,3038,3039,3040,3041,3042,3043,3044,3045,3046,3047,3048,3049,3050,3051,3052,3053,3054,3055,3056,3057,3058,3059,3060,3061,3062,3063,3064,3065,3066,3067,3068,3069,3070,3071,3072,3073,3074,3075,3076,3077,3078,3079,3080,3081,3082,3083,3084,3085,3086,3087,3088,3089,3090,3091,3092,3093,3094,3095,3096,3097,3098,3099,3100,3101,3102,3103,3104,3105,3106,3107,3108,3109,3110,3111,3112,3113,3114,3115,3116,3117,3118,3119,3120,3121,3122,3123,3124,3125,3126,3127,3128,3129,3130,3131,3132,3133,3134,3135,3136,3137,3138,3139,3140,3141,3142,3143,3144,3145,3146,3147,3148,3149,3150,3151,3152,3153,3154,3155,3156,3157,3158,3159,3160,3161,3162,3163,3164,3165,3166,3167,3168,3169,3170,3171,3172,3173,3174,3175,3176,3177,3178,3179,3180,3181,3182,3183,3184,3185,3186,3187,3188,3189,3190,3191,3192,3193,3194,3195,3196,3197,3198,3199,3200,3201,3202,3203,3204,3205,3206,3207,3208,3209,3210,3211,3212,3213,3214,3215,3216,3217,3218,3219,3220,3221,3222,3223,3224,3225,3226,3227,3228,3229,3230,3231,3232,3233,3234,3235,3236,3237,3238,3239,3240,3241,3242,3243,3244,3245,3246,3247,3248,3249,3250,3251,3252,3253,3254,3255,3256,3257,3258,3259,3260,3261,3262,3263,3264,3265,3266,3267,3268,3269,3270,3271,3272,3273,3274,3275,3276,3277,3278,3279,3280,3281,3282,3283,3284,3285,3286,3287,3288,3289,3290,3291,3292,3293,3294,3295,3296,3297,3298,3299,3300,3301,3302,3303,3304,3305,3306,3307,3308,3309,3310,3311,3312,3313,3314,3315,3316,3317,3318,3319,3320,3321,3322,3323,3324,3325,3326,3327,3328,3329,3330,3331,3332,3333,3334,3335,3336,3337,3338,3339,3340,3341,3342,3343,3344,3345,3346,3347,3348,3349,3350,3351,3352,3353,3354,3355,3356,3357,3358,3359,3360,3361,3362,3363,3364,3365,3366,3367,3368,3369,3370,3371,3372,3373,3374,3375,3376,3377,3378,3379,3380,3381,3382,3383,3384,3385,3386,3387,3388,3389,3390,3391,3392,3393,3394,3395,3396,3397,3398,3399,3400,3401,3402,3403,3404,3405,3406,3407,3408,3409,3410,3411,3412,3413,3414,3415,3416,3417,3418,3419,3420,3421,3422,3423,3424,3425,3426,3427,3428,3429,3430,3431,3432,3433,3434,3435,3436,3437,3438,3439,3440,3441,3442,3443,3444,3445,3446,3447,3448,3449,3450,3451,3452,3453,3454,3455,3456,3457,3458,3459,3460,3461,3462,3463,3464,3465,3466,3467,3468,3469,3470,3471,3472,3473,3474,3475,3476,3477,3478,3479,3480,3481,3482,3483,3484,3485,3486,3487,3488,3489,3490,3491,3492,3493,3494,3495,3496,3497,3498,3499,3500,3501,3502,3503,3504,3505,3506,3507,3508,3509,3510,3511,3512,3513,3514,3515,3516,3517,3518,3519,3520,3521,3522,3523,3524,3525,3526,3527,3528,3529,3530,3531,3532,3533,3534,3535,3536,3537,3538,3539,3540,3541,3542,3543,3544,3545,3546,3547,3548,3549,3550,3551,3552,3553,3554,3555,3556,3557,3558,3559,3560,3561,3562,3563,3564,3565,3566,3567,3568,3569,3570,3571,3572,3573,3574,3575,3576,3577,3578,3579,3580,3581,3582,3583,3584,3585,3586,3587,3588,3589,3590,3591,3592,3593,3594,3595,3596,3597,3598,3599,3600,3601,3602,3603,3604,3605,3606,3607,3608,3609,3610,3611,3612,3613,3614,3615,3616,3617,3618,3619,3620,3621,3622,3623,3624,3625,3626,3627,3628,3629,3630,3631,3632,3633,3634,3635,3636,3637,3638,3639,3640,3641,3642,3643,3644,3645,3646,3647,3648,3649,3650,3651,3652,3653,3654,3655,3656,3657,3658,3659,3660,3661,3662,3663,3664,3665,3666,3667,3668,3669,3670,3671,3672,3673,3674,3675,3676,3677,3678,3679,3680,3681,3682,3683,3684,3685,3686,3687,3688,3689,3690,3691,3692,3693,3694,3695,3696,3697,3698,3699,3700,3701,3702,3703,3704,3705,3706,3707,3708,3709,3710,3711,3712,3713,3714,3715,3716,3717,3718,3719,3720,3721,3722,3723,3724,3725,3726,3727,3728,3729,3730,3731,3732,3733,3734,3735,3736,3737,3738,3739,3740,3741,3742,3743,3744,3745,3746,3747,3748,3749,3750,3751,3752,3753,3754,3755,3756,3757,3758,3759,3760,3761,3762,3763,3764,3765,3766,3767,3768,3769,3770,3771,3772,3773,3774,3775,3776,3777,3778,3779,3780,3781,3782,3783,3784,3785,3786,3787,3788,3789,3790,3791,3792,3793,3794,3795,3796,3797,3798,3799,3800,3801,3802,3803,3804,3805,3806,3807,3808,3809,3810,3811,3812,3813,3814,3815,3816,3817,3818,3819,3820,3821,3822,3823,3824,3825,3826,3827,3828,3829,3830,3831,3832,3833,3834,3835,3836,3837,3838,3839,3840,3841,3842,3843,3844,3845,3846,3847,3848,3849,3850,3851,3852,3853,3854,3855,3856,3857,3858,3859,3860,3861,3862,3863,3864,3865,3866,3867,3868,3869,3870,3871,3872,3873,3874,3875,3876,3877,3878,3879,3880,3881,3882,3883,3884,3885,3886,3887,3888,3889,3890,3891,3892,3893,3894,3895,3896,3897,3898,3899,3900,3901,3902,3903,3904,3905,3906,3907,3908,3909,3910,3911,3912,3913,3914,3915,3916,3917,3918,3919,3920,3921,3922,3923,3924,3925,3926,3927,3928,3929,3930,3931,3932,3933,3934,3935,3936,3937,3938,3939,3940,3941,3942,3943,3944,3945,3946,3947,3948,3949,3950,3951,3952,3953,3954,3955,3956,3957,3958,3959,3960,3961,3962,3963,3964,3965,3966,3967,3968,3969,3970,3971,3972,3973,3974,3975,3976,3977,3978,3979,3980,3981,3982,3983,3984,3985,3986,3987,3988,3989,3990,3991,3992,3993,3994,3995,3996,3997,3998,3999,4000,4001,4002,4003,4004,4005,4006,4007,4008,4009,4010,4011,4012,4013,4014,4015,4016,4017,4018,4019,4020,4021,4022,4023,4024,4025,4026,4027,4028,4029,4030,4031,4032,4033,4034,4035,4036,4037,4038,4039,4040,4041,4042,4043,4044,4045,4046,4047,4048,4049,4050,4051,4052,4053,4054,4055,4056,4057,4058,4059,4060,4061,4062,4063,4064,4065,4066,4067,4068,4069,4070,4071,4072,4073,4074,4075,4076,4077,4078,4079,4080,4081,4082,4083,4084,4085,4086,4087,4088,4089,4090,4091,4092,4093,4094,4095,4096,4097,4098,4099,4100,4101,4102,4103,4104,4105,4106,4107,4108,4109,4110,4111,4112,4113,4114,4115,4116,4117,4118,4119,4120,4121,4122,4123,4124,4125,4126,4127,4128,4129,4130,4131,4132,4133,4134,4135,4136,4137,4138,4139,4140,4141,4142,4143,4144,4145,4146,4147,4148,4149,4150,4151,4152,4153,4154,4155,4156,4157,4158,4159,4160,4161,4162,4163,4164,4165,4166,4167,4168,4169,4170,4171,4172,4173,4174,4175,4176,4177,4178,4179,4180,4181,4182,4183,4184,4185,4186,4187,4188,4189,4190,4191,4192,4193,4194,4195,4196,4197,4198,4199,4200,4201,4202,4203,4204,4205,4206,4207,4208,4209,4210,4211,4212,4213,4214,4215,4216,4217,4218,4219,4220,4221,4222,4223,4224,4225,4226,4227,4228,4229,4230,4231,4232,4233,4234,4235,4236,4237,4238,4239,4240,4241,4242,4243,4244,4245,4246,4247,4248,4249,4250,4251,4252,4253,4254,4255,4256,4257,4258,4259,4260,4261,4262,4263,4264,4265,4266,4267,4268,4269,4270,4271,4272,4273,4274,4275,4276,4277,4278,4279,4280,4281,4282,4283,4284,4285,4286,4287,4288,4289,4290,4291,4292,4293,4294,4295,4296,4297,4298,4299,4300,4301,4302,4303,4304,4305,4306,4307,4308,4309,4310,4311,4312,4313,4314,4315,4316,4317,4318,4319,4320,4321,4322,4323,4324,4325,4326,4327,4328,4329,4330,4331,4332,4333,4334,4335,4336,4337,4338,4339,4340,4341,4342,4343,4344,4345,4346,4347,4348,4349,4350,4351,4352,4353,4354,4355,4356,4357,4358,4359,4360,4361,4362,4363,4364,4365,4366,4367,4368,4369,4370,4371,4372,4373,4374,4375,4376,4377,4378,4379,4380,4381,4382,4383,4384,4385,4386,4387,4388,4389,4390,4391,4392,4393,4394,4395,4396,4397,4398,4399,4400,4401,4402,4403,4404,4405,4406,4407,4408,4409,4410,4411,4412,4413,4414,4415,4416,4417,4418,4419,4420,4421,4422,4423,4424,4425,4426,4427,4428,4429,4430,4431,4432,4433,4434,4435,4436,4437,4438,4439,4440,4441,4442,4443,4444,4445,4446,4447,4448,4449,4450,4451,4452,4453,4454,4455,4456,4457,4458,4459,4460,4461,4462,4463,4464,4465,4466,4467,4468,4469,4470,4471,4472,4473,4474,4475,4476,4477,4478,4479,4480,4481,4482,4483,4484,4485,4486,4487,4488,4489,4490,4491,4492,4493,4494,4495,4496,4497,4498,4499,4500,4501,4502,4503,4504,4505,4506,4507,4508,4509,4510,4511,4512,4513,4514,4515,4516,4517,4518,4519,4520,4521,4522,4523,4524,4525,4526,4527,4528,4529,4530,4531,4532,4533,4534,4535,4536,4537,4538,4539,4540,4541,4542,4543,4544,4545,4546,4547,4548,4549,4550,4551,4552,4553,4554,4555,4556,4557,4558,4559,4560,4561,4562,4563,4564,4565,4566,4567,4568,4569,4570,4571,4572,4573,4574,4575,4576,4577,4578,4579,4580,4581,4582,4583,4584,4585,4586,4587,4588,4589,4590,4591,4592,4593,4594,4595,4596,4597,4598,4599,4600,4601,4602,4603,4604,4605,4606,4607,4608,4609,4610,4611,4612,4613,4614,4615,4616,4617,4618,4619,4620,4621,4622,4623,4624,4625,4626,4627,4628,4629,4630,4631,4632,4633,4634,4635,4636,4637,4638,4639,4640,4641,4642,4643,4644,4645,4646,4647,4648,4649,4650,4651,4652,4653,4654,4655,4656,4657,4658,4659,4660,4661,4662,4663,4664,4665,4666,4667,4668,4669,4670,4671,4672,4673,4674,4675,4676,4677,4678,4679,4680,4681,4682,4683,4684,4685,4686,4687,4688,4689,4690,4691,4692,4693,4694,4695,4696,4697,4698,4699,4700,4701,4702,4703,4704,4705,4706,4707,4708,4709,4710,4711,4712,4713,4714,4715,4716,4717,4718,4719,4720,4721,4722,4723,4724,4725,4726,4727,4728,4729,4730,4731,4732,4733,4734,4735,4736,4737,4738,4739,4740,4741,4742,4743,4744,4745,4746,4747,4748,4749,4750,4751,4752,4753,4754,4755,4756,4757,4758,4759,4760,4761,4762,4763,4764,4765,4766,4767,4768,4769,4770,4771,4772,4773,4774,4775,4776,4777,4778,4779,4780,4781,4782,4783,4784,4785,4786,4787,4788,4789,4790,4791,4792,4793,4794,4795,4796,4797,4798,4799,4800,4801,4802,4803,4804,4805,4806,4807,4808,4809,4810,4811,4812,4813,4814,4815,4816,4817,4818,4819,4820,4821,4822,4823,4824,4825,4826,4827,4828,4829,4830,4831,4832,4833,4834,4835,4836,4837,4838,4839,4840,4841,4842,4843,4844,4845,4846,4847,4848,4849,4850,4851,4852,4853,4854,4855,4856,4857,4858,4859,4860,4861,4862,4863,4864,4865,4866,4867,4868,4869,4870,4871,4872,4873,4874,4875,4876,4877,4878,4879,4880,4881,4882,4883,4884,4885,4886,4887,4888,4889,4890,4891,4892,4893,4894,4895,4896,4897,4898,4899,4900,4901,4902,4903,4904,4905,4906,4907,4908,4909,4910,4911,4912,4913,4914,4915,4916,4917,4918,4919,4920,4921,4922,4923,4924,4925,4926,4927,4928,4929,4930,4931,4932,4933,4934,4935,4936,4937,4938,4939,4940,4941,4942,4943,4944,4945,4946,4947,4948,4949,4950,4951,4952,4953,4954,4955,4956,4957,4958,4959,4960,4961,4962,4963,4964,4965,4966,4967,4968,4969,4970,4971,4972,4973,4974,4975,4976,4977,4978,4979,4980,4981,4982,4983,4984,4985,4986,4987,4988,4989,4990,4991,4992,4993,4994,4995,4996,4997,4998,4999,5000,5001,5002,5003,5004,5005,5006,5007,5008,5009,5010,5011,5012,5013,5014,5015,5016,5017,5018,5019,5020,5021,5022,5023,5024,5025,5026,5027,5028,5029,5030,5031,5032,5033,5034,5035,5036,5037,5038,5039,5040,5041,5042,5043,5044,5045,5046,5047,5048,5049,5050,5051,5052,5053,5054,5055,5056,5057,5058,5059,5060,5061,5062,5063,5064,5065,5066,5067,5068,5069,5070,5071,5072,5073,5074,5075,5076,5077,5078,5079,5080,5081,5082,5083,5084,5085,5086,5087,5088,5089,5090,5091,5092,5093,5094,5095,5096,5097,5098,5099,5100,5101,5102,5103,5104,5105,5106,5107,5108,5109,5110,5111,5112,5113,5114,5115,5116,5117,5118,5119,5120,5121,5122,5123,5124,5125,5126,5127,5128,5129,5130,5131,5132,5133,5134,5135,5136,5137,5138,5139,5140,5141,5142,5143,5144,5145,5146,5147,5148,5149,5150,5151,5152,5153,5154,5155,5156,5157,5158,5159,5160,5161,5162,5163,5164,5165,5166,5167,5168,5169,5170,5171,5172,5173,5174,5175,5176,5177,5178,5179,5180,5181,5182,5183,5184,5185,5186,5187,5188,5189,5190,5191,5192,5193,5194,5195,5196,5197,5198,5199,5200,5201,5202,5203,5204,5205,5206,5207,5208,5209,5210,5211,5212,5213,5214,5215,5216,5217,5218,5219,5220,5221,5222,5223,5224,5225,5226,5227,5228,5229,5230,5231,5232,5233,5234,5235,5236,5237,5238,5239,5240,5241,5242,5243,5244,5245,5246,5247,5248,5249,5250,5251,5252,5253,5254,5255,5256,5257,5258,5259,5260,5261,5262,5263,5264,5265,5266,5267,5268,5269,5270,5271,5272,5273,5274,5275,5276,5277,5278,5279,5280,5281,5282,5283,5284,5285,5286,5287,5288,5289,5290,5291,5292,5293,5294,5295,5296,5297,5298,5299,5300,5301,5302,5303,5304,5305,5306,5307,5308,5309,5310,5311,5312,5313,5314,5315,5316,5317,5318,5319,5320,5321,5322,5323,5324,5325,5326,5327,5328,5329,5330,5331,5332,5333,5334,5335,5336,5337,5338,5339,5340,5341,5342,5343,5344,5345,5346,5347,5348,5349,5350,5351,5352,5353,5354,5355,5356,5357,5358,5359,5360,5361,5362,5363,5364,5365,5366,5367,5368,5369,5370,5371,5372,5373,5374,5375,5376,5377,5378,5379,5380,5381,5382,5383,5384,5385,5386,5387,5388,5389,5390,5391,5392,5393,5394,5395,5396,5397,5398,5399,5400,5401,5402,5403,5404,5405,5406,5407,5408,5409,5410,5411,5412,5413,5414,5415,5416,5417,5418,5419,5420,5421,5422,5423,5424,5425,5426,5427,5428,5429,5430,5431,5432,5433,5434,5435,5436,5437,5438,5439,5440,5441,5442,5443,5444,5445,5446,5447,5448,5449,5450,5451,5452,5453,5454,5455,5456,5457,5458,5459,5460,5461,5462,5463,5464,5465,5466,5467,5468,5469,5470,5471,5472,5473,5474,5475,5476,5477,5478,5479,5480,5481,5482,5483,5484,5485,5486,5487,5488,5489,5490,5491,5492,5493,5494,5495,5496,5497,5498,5499,5500,5501,5502,5503,5504,5505,5506,5507,5508,5509,5510,5511,5512,5513,5514,5515,5516,5517,5518,5519,5520,5521,5522,5523,5524,5525,5526,5527,5528,5529,5530,5531,5532,5533,5534,5535,5536,5537,5538,5539,5540,5541,5542,5543,5544,5545,5546,5547,5548,5549,5550,5551,5552,5553,5554,5555,5556,5557,5558,5559,5560,5561,5562,5563,5564,5565,5566,5567,5568,5569,5570,5571,5572,5573,5574,5575,5576,5577,5578,5579,5580,5581,5582,5583,5584,5585,5586,5587,5588,5589,5590,5591,5592,5593,5594,5595,5596,5597,5598,5599,5600,5601,5602,5603,5604,5605,5606,5607,5608,5609,5610,5611,5612,5613,5614,5615,5616,5617,5618,5619,5620,5621,5622,5623,5624,5625,5626,5627,5628,5629,5630,5631,5632,5633,5634,5635,5636,5637,5638,5639,5640,5641,5642,5643,5644,5645,5646,5647,5648,5649,5650,5651,5652,5653,5654,5655,5656,5657,5658,5659,5660,5661,5662,5663,5664,5665,5666,5667,5668,5669,5670,5671,5672,5673,5674,5675,5676,5677,5678,5679,5680,5681,5682,5683,5684,5685,5686,5687,5688,5689,5690,5691,5692,5693,5694,5695,5696,5697,5698,5699,5700,5701,5702,5703,5704,5705,5706,5707,5708,5709,5710,5711,5712,5713,5714,5715,5716,5717,5718,5719,5720,5721,5722,5723,5724,5725,5726,5727,5728,5729,5730,5731,5732,5733,5734,5735,5736,5737,5738,5739,5740,5741,5742,5743,5744,5745,5746,5747,5748,5749,5750,5751,5752,5753,5754,5755,5756,5757,5758,5759,5760,5761,5762,5763,5764,5765,5766,5767,5768,5769,5770,5771,5772,5773,5774,5775,5776,5777,5778,5779,5780,5781,5782,5783,5784,5785,5786,5787,5788,5789,5790,5791,5792,5793,5794,5795,5796,5797,5798,5799,5800,5801,5802,5803,5804,5805,5806,5807,5808,5809,5810,5811,5812,5813,5814,5815,5816,5817,5818,5819,5820,5821,5822,5823,5824,5825,5826,5827,5828,5829,5830,5831,5832,5833,5834,5835,5836,5837,5838,5839,5840,5841,5842,5843,5844,5845,5846,5847,5848,5849,5850,5851,5852,5853,5854,5855,5856,5857,5858,5859,5860,5861,5862,5863,5864,5865,5866,5867,5868,5869,5870,5871,5872,5873,5874,5875,5876,5877,5878,5879,5880,5881,5882,5883,5884,5885,5886,5887,5888,5889,5890,5891,5892,5893,5894,5895,5896,5897,5898,5899,5900,5901,5902,5903,5904,5905,5906,5907,5908,5909,5910,5911,5912,5913,5914,5915,5916,5917,5918,5919,5920,5921,5922,5923,5924,5925,5926,5927,5928,5929,5930,5931,5932,5933,5934,5935,5936,5937,5938,5939,5940,5941,5942,5943,5944,5945,5946,5947,5948,5949,5950,5951,5952,5953,5954,5955,5956,5957,5958,5959,5960,5961,5962,5963,5964,5965,5966,5967,5968,5969,5970,5971,5972,5973,5974,5975,5976,5977,5978,5979,5980,5981,5982,5983,5984,5985,5986,5987,5988,5989,5990,5991,5992,5993,5994,5995,5996,5997,5998,5999,6000,6001,6002,6003,6004,6005,6006,6007,6008,6009,6010,6011,6012,6013,6014,6015,6016,6017,6018,6019,6020,6021,6022,6023,6024,6025,6026,6027,6028,6029,6030,6031,6032,6033,6034,6035,6036,6037,6038,6039,6040,6041,6042,6043,6044,6045,6046,6047,6048,6049,6050,6051,6052,6053,6054,6055,6056,6057,6058,6059,6060,6061,6062,6063,6064,6065,6066,6067,6068,6069,6070,6071,6072,6073,6074,6075,6076,6077,6078,6079,6080,6081,6082,6083,6084,6085,6086,6087,6088,6089,6090,6091,6092,6093,6094,6095,6096,6097,6098,6099,6100,6101,6102,6103,6104,6105,6106,6107,6108,6109,6110,6111,6112,6113,6114,6115,6116,6117,6118,6119,6120,6121,6122,6123,6124,6125,6126,6127,6128,6129,6130,6131,6132,6133,6134,6135,6136,6137,6138,6139,6140,6141,6142,6143,6144,6145,6146,6147,6148,6149,6150,6151,6152,6153,6154,6155,6156,6157,6158,6159,6160,6161,6162,6163,6164,6165,6166,6167,6168,6169,6170,6171,6172,6173,6174,6175,6176,6177,6178,6179,6180,6181,6182,6183,6184,6185,6186,6187,6188,6189,6190,6191,6192,6193,6194,6195,6196,6197,6198,6199,6200,6201,6202,6203,6204,6205,6206,6207,6208,6209,6210,6211,6212,6213,6214,6215,6216,6217,6218,6219,6220,6221,6222,6223,6224,6225,6226,6227,6228,6229,6230,6231,6232,6233,6234,6235,6236,6237,6238,6239,6240,6241,6242,6243,6244,6245,6246,6247,6248,6249,6250,6251,6252,6253,6254,6255,6256,6257,6258,6259,6260,6261,6262,6263,6264,6265,6266,6267,6268,6269,6270,6271,6272,6273,6274,6275,6276,6277,6278,6279,6280,6281,6282,6283,6284,6285,6286,6287,6288,6289,6290,6291,6292,6293,6294,6295,6296,6297,6298,6299,6300,6301,6302,6303,6304,6305,6306,6307,6308,6309,6310,6311,6312,6313,6314,6315,6316,6317,6318,6319,6320,6321,6322,6323,6324,6325,6326,6327,6328,6329,6330,6331,6332,6333,6334,6335,6336,6337,6338,6339,6340,6341,6342,6343,6344,6345,6346,6347,6348,6349,6350,6351,6352,6353,6354,6355,6356,6357,6358,6359,6360,6361,6362,6363,6364,6365,6366,6367,6368,6369,6370,6371,6372,6373,6374,6375,6376,6377,6378,6379,6380,6381,6382,6383,6384,6385,6386,6387,6388,6389,6390,6391,6392,6393,6394,6395,6396,6397,6398,6399,6400,6401,6402,6403,6404,6405,6406,6407,6408,6409,6410,6411,6412,6413,6414,6415,6416,6417,6418,6419,6420,6421,6422,6423,6424,6425,6426,6427,6428,6429,6430,6431,6432,6433,6434,6435,6436,6437,6438,6439,6440,6441,6442,6443,6444,6445,6446,6447,6448,6449,6450,6451,6452,6453,6454,6455,6456,6457,6458,6459,6460,6461,6462,6463,6464,6465,6466,6467,6468,6469,6470,6471,6472,6473);(1,3,2,4)(6,6473)(7,6472)(8,6471)(9,6470)(10,6469)(11,6468)(12,6467)(13,6466)(14,6465)(15,6464)(16,6463)(17,6462)(18,6461)(19,6460)(20,6459)(21,6458)(22,6457)(23,6456)(24,6455)(25,6454)(26,6453)(27,6452)(28,6451)(29,6450)(30,6449)(31,6448)(32,6447)(33,6446)(34,6445)(35,6444)(36,6443)(37,6442)(38,6441)(39,6440)(40,6439)(41,6438)(42,6437)(43,6436)(44,6435)(45,6434)(46,6433)(47,6432)(48,6431)(49,6430)(50,6429)(51,6428)(52,6427)(53,6426)(54,6425)(55,6424)(56,6423)(57,6422)(58,6421)(59,6420)(60,6419)(61,6418)(62,6417)(63,6416)(64,6415)(65,6414)(66,6413)(67,6412)(68,6411)(69,6410)(70,6409)(71,6408)(72,6407)(73,6406)(74,6405)(75,6404)(76,6403)(77,6402)(78,6401)(79,6400)(80,6399)(81,6398)(82,6397)(83,6396)(84,6395)(85,6394)(86,6393)(87,6392)(88,6391)(89,6390)(90,6389)(91,6388)(92,6387)(93,6386)(94,6385)(95,6384)(96,6383)(97,6382)(98,6381)(99,6380)(100,6379)(101,6378)(102,6377)(103,6376)(104,6375)(105,6374)(106,6373)(107,6372)(108,6371)(109,6370)(110,6369)(111,6368)(112,6367)(113,6366)(114,6365)(115,6364)(116,6363)(117,6362)(118,6361)(119,6360)(120,6359)(121,6358)(122,6357)(123,6356)(124,6355)(125,6354)(126,6353)(127,6352)(128,6351)(129,6350)(130,6349)(131,6348)(132,6347)(133,6346)(134,6345)(135,6344)(136,6343)(137,6342)(138,6341)(139,6340)(140,6339)(141,6338)(142,6337)(143,6336)(144,6335)(145,6334)(146,6333)(147,6332)(148,6331)(149,6330)(150,6329)(151,6328)(152,6327)(153,6326)(154,6325)(155,6324)(156,6323)(157,6322)(158,6321)(159,6320)(160,6319)(161,6318)(162,6317)(163,6316)(164,6315)(165,6314)(166,6313)(167,6312)(168,6311)(169,6310)(170,6309)(171,6308)(172,6307)(173,6306)(174,6305)(175,6304)(176,6303)(177,6302)(178,6301)(179,6300)(180,6299)(181,6298)(182,6297)(183,6296)(184,6295)(185,6294)(186,6293)(187,6292)(188,6291)(189,6290)(190,6289)(191,6288)(192,6287)(193,6286)(194,6285)(195,6284)(196,6283)(197,6282)(198,6281)(199,6280)(200,6279)(201,6278)(202,6277)(203,6276)(204,6275)(205,6274)(206,6273)(207,6272)(208,6271)(209,6270)(210,6269)(211,6268)(212,6267)(213,6266)(214,6265)(215,6264)(216,6263)(217,6262)(218,6261)(219,6260)(220,6259)(221,6258)(222,6257)(223,6256)(224,6255)(225,6254)(226,6253)(227,6252)(228,6251)(229,6250)(230,6249)(231,6248)(232,6247)(233,6246)(234,6245)(235,6244)(236,6243)(237,6242)(238,6241)(239,6240)(240,6239)(241,6238)(242,6237)(243,6236)(244,6235)(245,6234)(246,6233)(247,6232)(248,6231)(249,6230)(250,6229)(251,6228)(252,6227)(253,6226)(254,6225)(255,6224)(256,6223)(257,6222)(258,6221)(259,6220)(260,6219)(261,6218)(262,6217)(263,6216)(264,6215)(265,6214)(266,6213)(267,6212)(268,6211)(269,6210)(270,6209)(271,6208)(272,6207)(273,6206)(274,6205)(275,6204)(276,6203)(277,6202)(278,6201)(279,6200)(280,6199)(281,6198)(282,6197)(283,6196)(284,6195)(285,6194)(286,6193)(287,6192)(288,6191)(289,6190)(290,6189)(291,6188)(292,6187)(293,6186)(294,6185)(295,6184)(296,6183)(297,6182)(298,6181)(299,6180)(300,6179)(301,6178)(302,6177)(303,6176)(304,6175)(305,6174)(306,6173)(307,6172)(308,6171)(309,6170)(310,6169)(311,6168)(312,6167)(313,6166)(314,6165)(315,6164)(316,6163)(317,6162)(318,6161)(319,6160)(320,6159)(321,6158)(322,6157)(323,6156)(324,6155)(325,6154)(326,6153)(327,6152)(328,6151)(329,6150)(330,6149)(331,6148)(332,6147)(333,6146)(334,6145)(335,6144)(336,6143)(337,6142)(338,6141)(339,6140)(340,6139)(341,6138)(342,6137)(343,6136)(344,6135)(345,6134)(346,6133)(347,6132)(348,6131)(349,6130)(350,6129)(351,6128)(352,6127)(353,6126)(354,6125)(355,6124)(356,6123)(357,6122)(358,6121)(359,6120)(360,6119)(361,6118)(362,6117)(363,6116)(364,6115)(365,6114)(366,6113)(367,6112)(368,6111)(369,6110)(370,6109)(371,6108)(372,6107)(373,6106)(374,6105)(375,6104)(376,6103)(377,6102)(378,6101)(379,6100)(380,6099)(381,6098)(382,6097)(383,6096)(384,6095)(385,6094)(386,6093)(387,6092)(388,6091)(389,6090)(390,6089)(391,6088)(392,6087)(393,6086)(394,6085)(395,6084)(396,6083)(397,6082)(398,6081)(399,6080)(400,6079)(401,6078)(402,6077)(403,6076)(404,6075)(405,6074)(406,6073)(407,6072)(408,6071)(409,6070)(410,6069)(411,6068)(412,6067)(413,6066)(414,6065)(415,6064)(416,6063)(417,6062)(418,6061)(419,6060)(420,6059)(421,6058)(422,6057)(423,6056)(424,6055)(425,6054)(426,6053)(427,6052)(428,6051)(429,6050)(430,6049)(431,6048)(432,6047)(433,6046)(434,6045)(435,6044)(436,6043)(437,6042)(438,6041)(439,6040)(440,6039)(441,6038)(442,6037)(443,6036)(444,6035)(445,6034)(446,6033)(447,6032)(448,6031)(449,6030)(450,6029)(451,6028)(452,6027)(453,6026)(454,6025)(455,6024)(456,6023)(457,6022)(458,6021)(459,6020)(460,6019)(461,6018)(462,6017)(463,6016)(464,6015)(465,6014)(466,6013)(467,6012)(468,6011)(469,6010)(470,6009)(471,6008)(472,6007)(473,6006)(474,6005)(475,6004)(476,6003)(477,6002)(478,6001)(479,6000)(480,5999)(481,5998)(482,5997)(483,5996)(484,5995)(485,5994)(486,5993)(487,5992)(488,5991)(489,5990)(490,5989)(491,5988)(492,5987)(493,5986)(494,5985)(495,5984)(496,5983)(497,5982)(498,5981)(499,5980)(500,5979)(501,5978)(502,5977)(503,5976)(504,5975)(505,5974)(506,5973)(507,5972)(508,5971)(509,5970)(510,5969)(511,5968)(512,5967)(513,5966)(514,5965)(515,5964)(516,5963)(517,5962)(518,5961)(519,5960)(520,5959)(521,5958)(522,5957)(523,5956)(524,5955)(525,5954)(526,5953)(527,5952)(528,5951)(529,5950)(530,5949)(531,5948)(532,5947)(533,5946)(534,5945)(535,5944)(536,5943)(537,5942)(538,5941)(539,5940)(540,5939)(541,5938)(542,5937)(543,5936)(544,5935)(545,5934)(546,5933)(547,5932)(548,5931)(549,5930)(550,5929)(551,5928)(552,5927)(553,5926)(554,5925)(555,5924)(556,5923)(557,5922)(558,5921)(559,5920)(560,5919)(561,5918)(562,5917)(563,5916)(564,5915)(565,5914)(566,5913)(567,5912)(568,5911)(569,5910)(570,5909)(571,5908)(572,5907)(573,5906)(574,5905)(575,5904)(576,5903)(577,5902)(578,5901)(579,5900)(580,5899)(581,5898)(582,5897)(583,5896)(584,5895)(585,5894)(586,5893)(587,5892)(588,5891)(589,5890)(590,5889)(591,5888)(592,5887)(593,5886)(594,5885)(595,5884)(596,5883)(597,5882)(598,5881)(599,5880)(600,5879)(601,5878)(602,5877)(603,5876)(604,5875)(605,5874)(606,5873)(607,5872)(608,5871)(609,5870)(610,5869)(611,5868)(612,5867)(613,5866)(614,5865)(615,5864)(616,5863)(617,5862)(618,5861)(619,5860)(620,5859)(621,5858)(622,5857)(623,5856)(624,5855)(625,5854)(626,5853)(627,5852)(628,5851)(629,5850)(630,5849)(631,5848)(632,5847)(633,5846)(634,5845)(635,5844)(636,5843)(637,5842)(638,5841)(639,5840)(640,5839)(641,5838)(642,5837)(643,5836)(644,5835)(645,5834)(646,5833)(647,5832)(648,5831)(649,5830)(650,5829)(651,5828)(652,5827)(653,5826)(654,5825)(655,5824)(656,5823)(657,5822)(658,5821)(659,5820)(660,5819)(661,5818)(662,5817)(663,5816)(664,5815)(665,5814)(666,5813)(667,5812)(668,5811)(669,5810)(670,5809)(671,5808)(672,5807)(673,5806)(674,5805)(675,5804)(676,5803)(677,5802)(678,5801)(679,5800)(680,5799)(681,5798)(682,5797)(683,5796)(684,5795)(685,5794)(686,5793)(687,5792)(688,5791)(689,5790)(690,5789)(691,5788)(692,5787)(693,5786)(694,5785)(695,5784)(696,5783)(697,5782)(698,5781)(699,5780)(700,5779)(701,5778)(702,5777)(703,5776)(704,5775)(705,5774)(706,5773)(707,5772)(708,5771)(709,5770)(710,5769)(711,5768)(712,5767)(713,5766)(714,5765)(715,5764)(716,5763)(717,5762)(718,5761)(719,5760)(720,5759)(721,5758)(722,5757)(723,5756)(724,5755)(725,5754)(726,5753)(727,5752)(728,5751)(729,5750)(730,5749)(731,5748)(732,5747)(733,5746)(734,5745)(735,5744)(736,5743)(737,5742)(738,5741)(739,5740)(740,5739)(741,5738)(742,5737)(743,5736)(744,5735)(745,5734)(746,5733)(747,5732)(748,5731)(749,5730)(750,5729)(751,5728)(752,5727)(753,5726)(754,5725)(755,5724)(756,5723)(757,5722)(758,5721)(759,5720)(760,5719)(761,5718)(762,5717)(763,5716)(764,5715)(765,5714)(766,5713)(767,5712)(768,5711)(769,5710)(770,5709)(771,5708)(772,5707)(773,5706)(774,5705)(775,5704)(776,5703)(777,5702)(778,5701)(779,5700)(780,5699)(781,5698)(782,5697)(783,5696)(784,5695)(785,5694)(786,5693)(787,5692)(788,5691)(789,5690)(790,5689)(791,5688)(792,5687)(793,5686)(794,5685)(795,5684)(796,5683)(797,5682)(798,5681)(799,5680)(800,5679)(801,5678)(802,5677)(803,5676)(804,5675)(805,5674)(806,5673)(807,5672)(808,5671)(809,5670)(810,5669)(811,5668)(812,5667)(813,5666)(814,5665)(815,5664)(816,5663)(817,5662)(818,5661)(819,5660)(820,5659)(821,5658)(822,5657)(823,5656)(824,5655)(825,5654)(826,5653)(827,5652)(828,5651)(829,5650)(830,5649)(831,5648)(832,5647)(833,5646)(834,5645)(835,5644)(836,5643)(837,5642)(838,5641)(839,5640)(840,5639)(841,5638)(842,5637)(843,5636)(844,5635)(845,5634)(846,5633)(847,5632)(848,5631)(849,5630)(850,5629)(851,5628)(852,5627)(853,5626)(854,5625)(855,5624)(856,5623)(857,5622)(858,5621)(859,5620)(860,5619)(861,5618)(862,5617)(863,5616)(864,5615)(865,5614)(866,5613)(867,5612)(868,5611)(869,5610)(870,5609)(871,5608)(872,5607)(873,5606)(874,5605)(875,5604)(876,5603)(877,5602)(878,5601)(879,5600)(880,5599)(881,5598)(882,5597)(883,5596)(884,5595)(885,5594)(886,5593)(887,5592)(888,5591)(889,5590)(890,5589)(891,5588)(892,5587)(893,5586)(894,5585)(895,5584)(896,5583)(897,5582)(898,5581)(899,5580)(900,5579)(901,5578)(902,5577)(903,5576)(904,5575)(905,5574)(906,5573)(907,5572)(908,5571)(909,5570)(910,5569)(911,5568)(912,5567)(913,5566)(914,5565)(915,5564)(916,5563)(917,5562)(918,5561)(919,5560)(920,5559)(921,5558)(922,5557)(923,5556)(924,5555)(925,5554)(926,5553)(927,5552)(928,5551)(929,5550)(930,5549)(931,5548)(932,5547)(933,5546)(934,5545)(935,5544)(936,5543)(937,5542)(938,5541)(939,5540)(940,5539)(941,5538)(942,5537)(943,5536)(944,5535)(945,5534)(946,5533)(947,5532)(948,5531)(949,5530)(950,5529)(951,5528)(952,5527)(953,5526)(954,5525)(955,5524)(956,5523)(957,5522)(958,5521)(959,5520)(960,5519)(961,5518)(962,5517)(963,5516)(964,5515)(965,5514)(966,5513)(967,5512)(968,5511)(969,5510)(970,5509)(971,5508)(972,5507)(973,5506)(974,5505)(975,5504)(976,5503)(977,5502)(978,5501)(979,5500)(980,5499)(981,5498)(982,5497)(983,5496)(984,5495)(985,5494)(986,5493)(987,5492)(988,5491)(989,5490)(990,5489)(991,5488)(992,5487)(993,5486)(994,5485)(995,5484)(996,5483)(997,5482)(998,5481)(999,5480)(1000,5479)(1001,5478)(1002,5477)(1003,5476)(1004,5475)(1005,5474)(1006,5473)(1007,5472)(1008,5471)(1009,5470)(1010,5469)(1011,5468)(1012,5467)(1013,5466)(1014,5465)(1015,5464)(1016,5463)(1017,5462)(1018,5461)(1019,5460)(1020,5459)(1021,5458)(1022,5457)(1023,5456)(1024,5455)(1025,5454)(1026,5453)(1027,5452)(1028,5451)(1029,5450)(1030,5449)(1031,5448)(1032,5447)(1033,5446)(1034,5445)(1035,5444)(1036,5443)(1037,5442)(1038,5441)(1039,5440)(1040,5439)(1041,5438)(1042,5437)(1043,5436)(1044,5435)(1045,5434)(1046,5433)(1047,5432)(1048,5431)(1049,5430)(1050,5429)(1051,5428)(1052,5427)(1053,5426)(1054,5425)(1055,5424)(1056,5423)(1057,5422)(1058,5421)(1059,5420)(1060,5419)(1061,5418)(1062,5417)(1063,5416)(1064,5415)(1065,5414)(1066,5413)(1067,5412)(1068,5411)(1069,5410)(1070,5409)(1071,5408)(1072,5407)(1073,5406)(1074,5405)(1075,5404)(1076,5403)(1077,5402)(1078,5401)(1079,5400)(1080,5399)(1081,5398)(1082,5397)(1083,5396)(1084,5395)(1085,5394)(1086,5393)(1087,5392)(1088,5391)(1089,5390)(1090,5389)(1091,5388)(1092,5387)(1093,5386)(1094,5385)(1095,5384)(1096,5383)(1097,5382)(1098,5381)(1099,5380)(1100,5379)(1101,5378)(1102,5377)(1103,5376)(1104,5375)(1105,5374)(1106,5373)(1107,5372)(1108,5371)(1109,5370)(1110,5369)(1111,5368)(1112,5367)(1113,5366)(1114,5365)(1115,5364)(1116,5363)(1117,5362)(1118,5361)(1119,5360)(1120,5359)(1121,5358)(1122,5357)(1123,5356)(1124,5355)(1125,5354)(1126,5353)(1127,5352)(1128,5351)(1129,5350)(1130,5349)(1131,5348)(1132,5347)(1133,5346)(1134,5345)(1135,5344)(1136,5343)(1137,5342)(1138,5341)(1139,5340)(1140,5339)(1141,5338)(1142,5337)(1143,5336)(1144,5335)(1145,5334)(1146,5333)(1147,5332)(1148,5331)(1149,5330)(1150,5329)(1151,5328)(1152,5327)(1153,5326)(1154,5325)(1155,5324)(1156,5323)(1157,5322)(1158,5321)(1159,5320)(1160,5319)(1161,5318)(1162,5317)(1163,5316)(1164,5315)(1165,5314)(1166,5313)(1167,5312)(1168,5311)(1169,5310)(1170,5309)(1171,5308)(1172,5307)(1173,5306)(1174,5305)(1175,5304)(1176,5303)(1177,5302)(1178,5301)(1179,5300)(1180,5299)(1181,5298)(1182,5297)(1183,5296)(1184,5295)(1185,5294)(1186,5293)(1187,5292)(1188,5291)(1189,5290)(1190,5289)(1191,5288)(1192,5287)(1193,5286)(1194,5285)(1195,5284)(1196,5283)(1197,5282)(1198,5281)(1199,5280)(1200,5279)(1201,5278)(1202,5277)(1203,5276)(1204,5275)(1205,5274)(1206,5273)(1207,5272)(1208,5271)(1209,5270)(1210,5269)(1211,5268)(1212,5267)(1213,5266)(1214,5265)(1215,5264)(1216,5263)(1217,5262)(1218,5261)(1219,5260)(1220,5259)(1221,5258)(1222,5257)(1223,5256)(1224,5255)(1225,5254)(1226,5253)(1227,5252)(1228,5251)(1229,5250)(1230,5249)(1231,5248)(1232,5247)(1233,5246)(1234,5245)(1235,5244)(1236,5243)(1237,5242)(1238,5241)(1239,5240)(1240,5239)(1241,5238)(1242,5237)(1243,5236)(1244,5235)(1245,5234)(1246,5233)(1247,5232)(1248,5231)(1249,5230)(1250,5229)(1251,5228)(1252,5227)(1253,5226)(1254,5225)(1255,5224)(1256,5223)(1257,5222)(1258,5221)(1259,5220)(1260,5219)(1261,5218)(1262,5217)(1263,5216)(1264,5215)(1265,5214)(1266,5213)(1267,5212)(1268,5211)(1269,5210)(1270,5209)(1271,5208)(1272,5207)(1273,5206)(1274,5205)(1275,5204)(1276,5203)(1277,5202)(1278,5201)(1279,5200)(1280,5199)(1281,5198)(1282,5197)(1283,5196)(1284,5195)(1285,5194)(1286,5193)(1287,5192)(1288,5191)(1289,5190)(1290,5189)(1291,5188)(1292,5187)(1293,5186)(1294,5185)(1295,5184)(1296,5183)(1297,5182)(1298,5181)(1299,5180)(1300,5179)(1301,5178)(1302,5177)(1303,5176)(1304,5175)(1305,5174)(1306,5173)(1307,5172)(1308,5171)(1309,5170)(1310,5169)(1311,5168)(1312,5167)(1313,5166)(1314,5165)(1315,5164)(1316,5163)(1317,5162)(1318,5161)(1319,5160)(1320,5159)(1321,5158)(1322,5157)(1323,5156)(1324,5155)(1325,5154)(1326,5153)(1327,5152)(1328,5151)(1329,5150)(1330,5149)(1331,5148)(1332,5147)(1333,5146)(1334,5145)(1335,5144)(1336,5143)(1337,5142)(1338,5141)(1339,5140)(1340,5139)(1341,5138)(1342,5137)(1343,5136)(1344,5135)(1345,5134)(1346,5133)(1347,5132)(1348,5131)(1349,5130)(1350,5129)(1351,5128)(1352,5127)(1353,5126)(1354,5125)(1355,5124)(1356,5123)(1357,5122)(1358,5121)(1359,5120)(1360,5119)(1361,5118)(1362,5117)(1363,5116)(1364,5115)(1365,5114)(1366,5113)(1367,5112)(1368,5111)(1369,5110)(1370,5109)(1371,5108)(1372,5107)(1373,5106)(1374,5105)(1375,5104)(1376,5103)(1377,5102)(1378,5101)(1379,5100)(1380,5099)(1381,5098)(1382,5097)(1383,5096)(1384,5095)(1385,5094)(1386,5093)(1387,5092)(1388,5091)(1389,5090)(1390,5089)(1391,5088)(1392,5087)(1393,5086)(1394,5085)(1395,5084)(1396,5083)(1397,5082)(1398,5081)(1399,5080)(1400,5079)(1401,5078)(1402,5077)(1403,5076)(1404,5075)(1405,5074)(1406,5073)(1407,5072)(1408,5071)(1409,5070)(1410,5069)(1411,5068)(1412,5067)(1413,5066)(1414,5065)(1415,5064)(1416,5063)(1417,5062)(1418,5061)(1419,5060)(1420,5059)(1421,5058)(1422,5057)(1423,5056)(1424,5055)(1425,5054)(1426,5053)(1427,5052)(1428,5051)(1429,5050)(1430,5049)(1431,5048)(1432,5047)(1433,5046)(1434,5045)(1435,5044)(1436,5043)(1437,5042)(1438,5041)(1439,5040)(1440,5039)(1441,5038)(1442,5037)(1443,5036)(1444,5035)(1445,5034)(1446,5033)(1447,5032)(1448,5031)(1449,5030)(1450,5029)(1451,5028)(1452,5027)(1453,5026)(1454,5025)(1455,5024)(1456,5023)(1457,5022)(1458,5021)(1459,5020)(1460,5019)(1461,5018)(1462,5017)(1463,5016)(1464,5015)(1465,5014)(1466,5013)(1467,5012)(1468,5011)(1469,5010)(1470,5009)(1471,5008)(1472,5007)(1473,5006)(1474,5005)(1475,5004)(1476,5003)(1477,5002)(1478,5001)(1479,5000)(1480,4999)(1481,4998)(1482,4997)(1483,4996)(1484,4995)(1485,4994)(1486,4993)(1487,4992)(1488,4991)(1489,4990)(1490,4989)(1491,4988)(1492,4987)(1493,4986)(1494,4985)(1495,4984)(1496,4983)(1497,4982)(1498,4981)(1499,4980)(1500,4979)(1501,4978)(1502,4977)(1503,4976)(1504,4975)(1505,4974)(1506,4973)(1507,4972)(1508,4971)(1509,4970)(1510,4969)(1511,4968)(1512,4967)(1513,4966)(1514,4965)(1515,4964)(1516,4963)(1517,4962)(1518,4961)(1519,4960)(1520,4959)(1521,4958)(1522,4957)(1523,4956)(1524,4955)(1525,4954)(1526,4953)(1527,4952)(1528,4951)(1529,4950)(1530,4949)(1531,4948)(1532,4947)(1533,4946)(1534,4945)(1535,4944)(1536,4943)(1537,4942)(1538,4941)(1539,4940)(1540,4939)(1541,4938)(1542,4937)(1543,4936)(1544,4935)(1545,4934)(1546,4933)(1547,4932)(1548,4931)(1549,4930)(1550,4929)(1551,4928)(1552,4927)(1553,4926)(1554,4925)(1555,4924)(1556,4923)(1557,4922)(1558,4921)(1559,4920)(1560,4919)(1561,4918)(1562,4917)(1563,4916)(1564,4915)(1565,4914)(1566,4913)(1567,4912)(1568,4911)(1569,4910)(1570,4909)(1571,4908)(1572,4907)(1573,4906)(1574,4905)(1575,4904)(1576,4903)(1577,4902)(1578,4901)(1579,4900)(1580,4899)(1581,4898)(1582,4897)(1583,4896)(1584,4895)(1585,4894)(1586,4893)(1587,4892)(1588,4891)(1589,4890)(1590,4889)(1591,4888)(1592,4887)(1593,4886)(1594,4885)(1595,4884)(1596,4883)(1597,4882)(1598,4881)(1599,4880)(1600,4879)(1601,4878)(1602,4877)(1603,4876)(1604,4875)(1605,4874)(1606,4873)(1607,4872)(1608,4871)(1609,4870)(1610,4869)(1611,4868)(1612,4867)(1613,4866)(1614,4865)(1615,4864)(1616,4863)(1617,4862)(1618,4861)(1619,4860)(1620,4859)(1621,4858)(1622,4857)(1623,4856)(1624,4855)(1625,4854)(1626,4853)(1627,4852)(1628,4851)(1629,4850)(1630,4849)(1631,4848)(1632,4847)(1633,4846)(1634,4845)(1635,4844)(1636,4843)(1637,4842)(1638,4841)(1639,4840)(1640,4839)(1641,4838)(1642,4837)(1643,4836)(1644,4835)(1645,4834)(1646,4833)(1647,4832)(1648,4831)(1649,4830)(1650,4829)(1651,4828)(1652,4827)(1653,4826)(1654,4825)(1655,4824)(1656,4823)(1657,4822)(1658,4821)(1659,4820)(1660,4819)(1661,4818)(1662,4817)(1663,4816)(1664,4815)(1665,4814)(1666,4813)(1667,4812)(1668,4811)(1669,4810)(1670,4809)(1671,4808)(1672,4807)(1673,4806)(1674,4805)(1675,4804)(1676,4803)(1677,4802)(1678,4801)(1679,4800)(1680,4799)(1681,4798)(1682,4797)(1683,4796)(1684,4795)(1685,4794)(1686,4793)(1687,4792)(1688,4791)(1689,4790)(1690,4789)(1691,4788)(1692,4787)(1693,4786)(1694,4785)(1695,4784)(1696,4783)(1697,4782)(1698,4781)(1699,4780)(1700,4779)(1701,4778)(1702,4777)(1703,4776)(1704,4775)(1705,4774)(1706,4773)(1707,4772)(1708,4771)(1709,4770)(1710,4769)(1711,4768)(1712,4767)(1713,4766)(1714,4765)(1715,4764)(1716,4763)(1717,4762)(1718,4761)(1719,4760)(1720,4759)(1721,4758)(1722,4757)(1723,4756)(1724,4755)(1725,4754)(1726,4753)(1727,4752)(1728,4751)(1729,4750)(1730,4749)(1731,4748)(1732,4747)(1733,4746)(1734,4745)(1735,4744)(1736,4743)(1737,4742)(1738,4741)(1739,4740)(1740,4739)(1741,4738)(1742,4737)(1743,4736)(1744,4735)(1745,4734)(1746,4733)(1747,4732)(1748,4731)(1749,4730)(1750,4729)(1751,4728)(1752,4727)(1753,4726)(1754,4725)(1755,4724)(1756,4723)(1757,4722)(1758,4721)(1759,4720)(1760,4719)(1761,4718)(1762,4717)(1763,4716)(1764,4715)(1765,4714)(1766,4713)(1767,4712)(1768,4711)(1769,4710)(1770,4709)(1771,4708)(1772,4707)(1773,4706)(1774,4705)(1775,4704)(1776,4703)(1777,4702)(1778,4701)(1779,4700)(1780,4699)(1781,4698)(1782,4697)(1783,4696)(1784,4695)(1785,4694)(1786,4693)(1787,4692)(1788,4691)(1789,4690)(1790,4689)(1791,4688)(1792,4687)(1793,4686)(1794,4685)(1795,4684)(1796,4683)(1797,4682)(1798,4681)(1799,4680)(1800,4679)(1801,4678)(1802,4677)(1803,4676)(1804,4675)(1805,4674)(1806,4673)(1807,4672)(1808,4671)(1809,4670)(1810,4669)(1811,4668)(1812,4667)(1813,4666)(1814,4665)(1815,4664)(1816,4663)(1817,4662)(1818,4661)(1819,4660)(1820,4659)(1821,4658)(1822,4657)(1823,4656)(1824,4655)(1825,4654)(1826,4653)(1827,4652)(1828,4651)(1829,4650)(1830,4649)(1831,4648)(1832,4647)(1833,4646)(1834,4645)(1835,4644)(1836,4643)(1837,4642)(1838,4641)(1839,4640)(1840,4639)(1841,4638)(1842,4637)(1843,4636)(1844,4635)(1845,4634)(1846,4633)(1847,4632)(1848,4631)(1849,4630)(1850,4629)(1851,4628)(1852,4627)(1853,4626)(1854,4625)(1855,4624)(1856,4623)(1857,4622)(1858,4621)(1859,4620)(1860,4619)(1861,4618)(1862,4617)(1863,4616)(1864,4615)(1865,4614)(1866,4613)(1867,4612)(1868,4611)(1869,4610)(1870,4609)(1871,4608)(1872,4607)(1873,4606)(1874,4605)(1875,4604)(1876,4603)(1877,4602)(1878,4601)(1879,4600)(1880,4599)(1881,4598)(1882,4597)(1883,4596)(1884,4595)(1885,4594)(1886,4593)(1887,4592)(1888,4591)(1889,4590)(1890,4589)(1891,4588)(1892,4587)(1893,4586)(1894,4585)(1895,4584)(1896,4583)(1897,4582)(1898,4581)(1899,4580)(1900,4579)(1901,4578)(1902,4577)(1903,4576)(1904,4575)(1905,4574)(1906,4573)(1907,4572)(1908,4571)(1909,4570)(1910,4569)(1911,4568)(1912,4567)(1913,4566)(1914,4565)(1915,4564)(1916,4563)(1917,4562)(1918,4561)(1919,4560)(1920,4559)(1921,4558)(1922,4557)(1923,4556)(1924,4555)(1925,4554)(1926,4553)(1927,4552)(1928,4551)(1929,4550)(1930,4549)(1931,4548)(1932,4547)(1933,4546)(1934,4545)(1935,4544)(1936,4543)(1937,4542)(1938,4541)(1939,4540)(1940,4539)(1941,4538)(1942,4537)(1943,4536)(1944,4535)(1945,4534)(1946,4533)(1947,4532)(1948,4531)(1949,4530)(1950,4529)(1951,4528)(1952,4527)(1953,4526)(1954,4525)(1955,4524)(1956,4523)(1957,4522)(1958,4521)(1959,4520)(1960,4519)(1961,4518)(1962,4517)(1963,4516)(1964,4515)(1965,4514)(1966,4513)(1967,4512)(1968,4511)(1969,4510)(1970,4509)(1971,4508)(1972,4507)(1973,4506)(1974,4505)(1975,4504)(1976,4503)(1977,4502)(1978,4501)(1979,4500)(1980,4499)(1981,4498)(1982,4497)(1983,4496)(1984,4495)(1985,4494)(1986,4493)(1987,4492)(1988,4491)(1989,4490)(1990,4489)(1991,4488)(1992,4487)(1993,4486)(1994,4485)(1995,4484)(1996,4483)(1997,4482)(1998,4481)(1999,4480)(2000,4479)(2001,4478)(2002,4477)(2003,4476)(2004,4475)(2005,4474)(2006,4473)(2007,4472)(2008,4471)(2009,4470)(2010,4469)(2011,4468)(2012,4467)(2013,4466)(2014,4465)(2015,4464)(2016,4463)(2017,4462)(2018,4461)(2019,4460)(2020,4459)(2021,4458)(2022,4457)(2023,4456)(2024,4455)(2025,4454)(2026,4453)(2027,4452)(2028,4451)(2029,4450)(2030,4449)(2031,4448)(2032,4447)(2033,4446)(2034,4445)(2035,4444)(2036,4443)(2037,4442)(2038,4441)(2039,4440)(2040,4439)(2041,4438)(2042,4437)(2043,4436)(2044,4435)(2045,4434)(2046,4433)(2047,4432)(2048,4431)(2049,4430)(2050,4429)(2051,4428)(2052,4427)(2053,4426)(2054,4425)(2055,4424)(2056,4423)(2057,4422)(2058,4421)(2059,4420)(2060,4419)(2061,4418)(2062,4417)(2063,4416)(2064,4415)(2065,4414)(2066,4413)(2067,4412)(2068,4411)(2069,4410)(2070,4409)(2071,4408)(2072,4407)(2073,4406)(2074,4405)(2075,4404)(2076,4403)(2077,4402)(2078,4401)(2079,4400)(2080,4399)(2081,4398)(2082,4397)(2083,4396)(2084,4395)(2085,4394)(2086,4393)(2087,4392)(2088,4391)(2089,4390)(2090,4389)(2091,4388)(2092,4387)(2093,4386)(2094,4385)(2095,4384)(2096,4383)(2097,4382)(2098,4381)(2099,4380)(2100,4379)(2101,4378)(2102,4377)(2103,4376)(2104,4375)(2105,4374)(2106,4373)(2107,4372)(2108,4371)(2109,4370)(2110,4369)(2111,4368)(2112,4367)(2113,4366)(2114,4365)(2115,4364)(2116,4363)(2117,4362)(2118,4361)(2119,4360)(2120,4359)(2121,4358)(2122,4357)(2123,4356)(2124,4355)(2125,4354)(2126,4353)(2127,4352)(2128,4351)(2129,4350)(2130,4349)(2131,4348)(2132,4347)(2133,4346)(2134,4345)(2135,4344)(2136,4343)(2137,4342)(2138,4341)(2139,4340)(2140,4339)(2141,4338)(2142,4337)(2143,4336)(2144,4335)(2145,4334)(2146,4333)(2147,4332)(2148,4331)(2149,4330)(2150,4329)(2151,4328)(2152,4327)(2153,4326)(2154,4325)(2155,4324)(2156,4323)(2157,4322)(2158,4321)(2159,4320)(2160,4319)(2161,4318)(2162,4317)(2163,4316)(2164,4315)(2165,4314)(2166,4313)(2167,4312)(2168,4311)(2169,4310)(2170,4309)(2171,4308)(2172,4307)(2173,4306)(2174,4305)(2175,4304)(2176,4303)(2177,4302)(2178,4301)(2179,4300)(2180,4299)(2181,4298)(2182,4297)(2183,4296)(2184,4295)(2185,4294)(2186,4293)(2187,4292)(2188,4291)(2189,4290)(2190,4289)(2191,4288)(2192,4287)(2193,4286)(2194,4285)(2195,4284)(2196,4283)(2197,4282)(2198,4281)(2199,4280)(2200,4279)(2201,4278)(2202,4277)(2203,4276)(2204,4275)(2205,4274)(2206,4273)(2207,4272)(2208,4271)(2209,4270)(2210,4269)(2211,4268)(2212,4267)(2213,4266)(2214,4265)(2215,4264)(2216,4263)(2217,4262)(2218,4261)(2219,4260)(2220,4259)(2221,4258)(2222,4257)(2223,4256)(2224,4255)(2225,4254)(2226,4253)(2227,4252)(2228,4251)(2229,4250)(2230,4249)(2231,4248)(2232,4247)(2233,4246)(2234,4245)(2235,4244)(2236,4243)(2237,4242)(2238,4241)(2239,4240)(2240,4239)(2241,4238)(2242,4237)(2243,4236)(2244,4235)(2245,4234)(2246,4233)(2247,4232)(2248,4231)(2249,4230)(2250,4229)(2251,4228)(2252,4227)(2253,4226)(2254,4225)(2255,4224)(2256,4223)(2257,4222)(2258,4221)(2259,4220)(2260,4219)(2261,4218)(2262,4217)(2263,4216)(2264,4215)(2265,4214)(2266,4213)(2267,4212)(2268,4211)(2269,4210)(2270,4209)(2271,4208)(2272,4207)(2273,4206)(2274,4205)(2275,4204)(2276,4203)(2277,4202)(2278,4201)(2279,4200)(2280,4199)(2281,4198)(2282,4197)(2283,4196)(2284,4195)(2285,4194)(2286,4193)(2287,4192)(2288,4191)(2289,4190)(2290,4189)(2291,4188)(2292,4187)(2293,4186)(2294,4185)(2295,4184)(2296,4183)(2297,4182)(2298,4181)(2299,4180)(2300,4179)(2301,4178)(2302,4177)(2303,4176)(2304,4175)(2305,4174)(2306,4173)(2307,4172)(2308,4171)(2309,4170)(2310,4169)(2311,4168)(2312,4167)(2313,4166)(2314,4165)(2315,4164)(2316,4163)(2317,4162)(2318,4161)(2319,4160)(2320,4159)(2321,4158)(2322,4157)(2323,4156)(2324,4155)(2325,4154)(2326,4153)(2327,4152)(2328,4151)(2329,4150)(2330,4149)(2331,4148)(2332,4147)(2333,4146)(2334,4145)(2335,4144)(2336,4143)(2337,4142)(2338,4141)(2339,4140)(2340,4139)(2341,4138)(2342,4137)(2343,4136)(2344,4135)(2345,4134)(2346,4133)(2347,4132)(2348,4131)(2349,4130)(2350,4129)(2351,4128)(2352,4127)(2353,4126)(2354,4125)(2355,4124)(2356,4123)(2357,4122)(2358,4121)(2359,4120)(2360,4119)(2361,4118)(2362,4117)(2363,4116)(2364,4115)(2365,4114)(2366,4113)(2367,4112)(2368,4111)(2369,4110)(2370,4109)(2371,4108)(2372,4107)(2373,4106)(2374,4105)(2375,4104)(2376,4103)(2377,4102)(2378,4101)(2379,4100)(2380,4099)(2381,4098)(2382,4097)(2383,4096)(2384,4095)(2385,4094)(2386,4093)(2387,4092)(2388,4091)(2389,4090)(2390,4089)(2391,4088)(2392,4087)(2393,4086)(2394,4085)(2395,4084)(2396,4083)(2397,4082)(2398,4081)(2399,4080)(2400,4079)(2401,4078)(2402,4077)(2403,4076)(2404,4075)(2405,4074)(2406,4073)(2407,4072)(2408,4071)(2409,4070)(2410,4069)(2411,4068)(2412,4067)(2413,4066)(2414,4065)(2415,4064)(2416,4063)(2417,4062)(2418,4061)(2419,4060)(2420,4059)(2421,4058)(2422,4057)(2423,4056)(2424,4055)(2425,4054)(2426,4053)(2427,4052)(2428,4051)(2429,4050)(2430,4049)(2431,4048)(2432,4047)(2433,4046)(2434,4045)(2435,4044)(2436,4043)(2437,4042)(2438,4041)(2439,4040)(2440,4039)(2441,4038)(2442,4037)(2443,4036)(2444,4035)(2445,4034)(2446,4033)(2447,4032)(2448,4031)(2449,4030)(2450,4029)(2451,4028)(2452,4027)(2453,4026)(2454,4025)(2455,4024)(2456,4023)(2457,4022)(2458,4021)(2459,4020)(2460,4019)(2461,4018)(2462,4017)(2463,4016)(2464,4015)(2465,4014)(2466,4013)(2467,4012)(2468,4011)(2469,4010)(2470,4009)(2471,4008)(2472,4007)(2473,4006)(2474,4005)(2475,4004)(2476,4003)(2477,4002)(2478,4001)(2479,4000)(2480,3999)(2481,3998)(2482,3997)(2483,3996)(2484,3995)(2485,3994)(2486,3993)(2487,3992)(2488,3991)(2489,3990)(2490,3989)(2491,3988)(2492,3987)(2493,3986)(2494,3985)(2495,3984)(2496,3983)(2497,3982)(2498,3981)(2499,3980)(2500,3979)(2501,3978)(2502,3977)(2503,3976)(2504,3975)(2505,3974)(2506,3973)(2507,3972)(2508,3971)(2509,3970)(2510,3969)(2511,3968)(2512,3967)(2513,3966)(2514,3965)(2515,3964)(2516,3963)(2517,3962)(2518,3961)(2519,3960)(2520,3959)(2521,3958)(2522,3957)(2523,3956)(2524,3955)(2525,3954)(2526,3953)(2527,3952)(2528,3951)(2529,3950)(2530,3949)(2531,3948)(2532,3947)(2533,3946)(2534,3945)(2535,3944)(2536,3943)(2537,3942)(2538,3941)(2539,3940)(2540,3939)(2541,3938)(2542,3937)(2543,3936)(2544,3935)(2545,3934)(2546,3933)(2547,3932)(2548,3931)(2549,3930)(2550,3929)(2551,3928)(2552,3927)(2553,3926)(2554,3925)(2555,3924)(2556,3923)(2557,3922)(2558,3921)(2559,3920)(2560,3919)(2561,3918)(2562,3917)(2563,3916)(2564,3915)(2565,3914)(2566,3913)(2567,3912)(2568,3911)(2569,3910)(2570,3909)(2571,3908)(2572,3907)(2573,3906)(2574,3905)(2575,3904)(2576,3903)(2577,3902)(2578,3901)(2579,3900)(2580,3899)(2581,3898)(2582,3897)(2583,3896)(2584,3895)(2585,3894)(2586,3893)(2587,3892)(2588,3891)(2589,3890)(2590,3889)(2591,3888)(2592,3887)(2593,3886)(2594,3885)(2595,3884)(2596,3883)(2597,3882)(2598,3881)(2599,3880)(2600,3879)(2601,3878)(2602,3877)(2603,3876)(2604,3875)(2605,3874)(2606,3873)(2607,3872)(2608,3871)(2609,3870)(2610,3869)(2611,3868)(2612,3867)(2613,3866)(2614,3865)(2615,3864)(2616,3863)(2617,3862)(2618,3861)(2619,3860)(2620,3859)(2621,3858)(2622,3857)(2623,3856)(2624,3855)(2625,3854)(2626,3853)(2627,3852)(2628,3851)(2629,3850)(2630,3849)(2631,3848)(2632,3847)(2633,3846)(2634,3845)(2635,3844)(2636,3843)(2637,3842)(2638,3841)(2639,3840)(2640,3839)(2641,3838)(2642,3837)(2643,3836)(2644,3835)(2645,3834)(2646,3833)(2647,3832)(2648,3831)(2649,3830)(2650,3829)(2651,3828)(2652,3827)(2653,3826)(2654,3825)(2655,3824)(2656,3823)(2657,3822)(2658,3821)(2659,3820)(2660,3819)(2661,3818)(2662,3817)(2663,3816)(2664,3815)(2665,3814)(2666,3813)(2667,3812)(2668,3811)(2669,3810)(2670,3809)(2671,3808)(2672,3807)(2673,3806)(2674,3805)(2675,3804)(2676,3803)(2677,3802)(2678,3801)(2679,3800)(2680,3799)(2681,3798)(2682,3797)(2683,3796)(2684,3795)(2685,3794)(2686,3793)(2687,3792)(2688,3791)(2689,3790)(2690,3789)(2691,3788)(2692,3787)(2693,3786)(2694,3785)(2695,3784)(2696,3783)(2697,3782)(2698,3781)(2699,3780)(2700,3779)(2701,3778)(2702,3777)(2703,3776)(2704,3775)(2705,3774)(2706,3773)(2707,3772)(2708,3771)(2709,3770)(2710,3769)(2711,3768)(2712,3767)(2713,3766)(2714,3765)(2715,3764)(2716,3763)(2717,3762)(2718,3761)(2719,3760)(2720,3759)(2721,3758)(2722,3757)(2723,3756)(2724,3755)(2725,3754)(2726,3753)(2727,3752)(2728,3751)(2729,3750)(2730,3749)(2731,3748)(2732,3747)(2733,3746)(2734,3745)(2735,3744)(2736,3743)(2737,3742)(2738,3741)(2739,3740)(2740,3739)(2741,3738)(2742,3737)(2743,3736)(2744,3735)(2745,3734)(2746,3733)(2747,3732)(2748,3731)(2749,3730)(2750,3729)(2751,3728)(2752,3727)(2753,3726)(2754,3725)(2755,3724)(2756,3723)(2757,3722)(2758,3721)(2759,3720)(2760,3719)(2761,3718)(2762,3717)(2763,3716)(2764,3715)(2765,3714)(2766,3713)(2767,3712)(2768,3711)(2769,3710)(2770,3709)(2771,3708)(2772,3707)(2773,3706)(2774,3705)(2775,3704)(2776,3703)(2777,3702)(2778,3701)(2779,3700)(2780,3699)(2781,3698)(2782,3697)(2783,3696)(2784,3695)(2785,3694)(2786,3693)(2787,3692)(2788,3691)(2789,3690)(2790,3689)(2791,3688)(2792,3687)(2793,3686)(2794,3685)(2795,3684)(2796,3683)(2797,3682)(2798,3681)(2799,3680)(2800,3679)(2801,3678)(2802,3677)(2803,3676)(2804,3675)(2805,3674)(2806,3673)(2807,3672)(2808,3671)(2809,3670)(2810,3669)(2811,3668)(2812,3667)(2813,3666)(2814,3665)(2815,3664)(2816,3663)(2817,3662)(2818,3661)(2819,3660)(2820,3659)(2821,3658)(2822,3657)(2823,3656)(2824,3655)(2825,3654)(2826,3653)(2827,3652)(2828,3651)(2829,3650)(2830,3649)(2831,3648)(2832,3647)(2833,3646)(2834,3645)(2835,3644)(2836,3643)(2837,3642)(2838,3641)(2839,3640)(2840,3639)(2841,3638)(2842,3637)(2843,3636)(2844,3635)(2845,3634)(2846,3633)(2847,3632)(2848,3631)(2849,3630)(2850,3629)(2851,3628)(2852,3627)(2853,3626)(2854,3625)(2855,3624)(2856,3623)(2857,3622)(2858,3621)(2859,3620)(2860,3619)(2861,3618)(2862,3617)(2863,3616)(2864,3615)(2865,3614)(2866,3613)(2867,3612)(2868,3611)(2869,3610)(2870,3609)(2871,3608)(2872,3607)(2873,3606)(2874,3605)(2875,3604)(2876,3603)(2877,3602)(2878,3601)(2879,3600)(2880,3599)(2881,3598)(2882,3597)(2883,3596)(2884,3595)(2885,3594)(2886,3593)(2887,3592)(2888,3591)(2889,3590)(2890,3589)(2891,3588)(2892,3587)(2893,3586)(2894,3585)(2895,3584)(2896,3583)(2897,3582)(2898,3581)(2899,3580)(2900,3579)(2901,3578)(2902,3577)(2903,3576)(2904,3575)(2905,3574)(2906,3573)(2907,3572)(2908,3571)(2909,3570)(2910,3569)(2911,3568)(2912,3567)(2913,3566)(2914,3565)(2915,3564)(2916,3563)(2917,3562)(2918,3561)(2919,3560)(2920,3559)(2921,3558)(2922,3557)(2923,3556)(2924,3555)(2925,3554)(2926,3553)(2927,3552)(2928,3551)(2929,3550)(2930,3549)(2931,3548)(2932,3547)(2933,3546)(2934,3545)(2935,3544)(2936,3543)(2937,3542)(2938,3541)(2939,3540)(2940,3539)(2941,3538)(2942,3537)(2943,3536)(2944,3535)(2945,3534)(2946,3533)(2947,3532)(2948,3531)(2949,3530)(2950,3529)(2951,3528)(2952,3527)(2953,3526)(2954,3525)(2955,3524)(2956,3523)(2957,3522)(2958,3521)(2959,3520)(2960,3519)(2961,3518)(2962,3517)(2963,3516)(2964,3515)(2965,3514)(2966,3513)(2967,3512)(2968,3511)(2969,3510)(2970,3509)(2971,3508)(2972,3507)(2973,3506)(2974,3505)(2975,3504)(2976,3503)(2977,3502)(2978,3501)(2979,3500)(2980,3499)(2981,3498)(2982,3497)(2983,3496)(2984,3495)(2985,3494)(2986,3493)(2987,3492)(2988,3491)(2989,3490)(2990,3489)(2991,3488)(2992,3487)(2993,3486)(2994,3485)(2995,3484)(2996,3483)(2997,3482)(2998,3481)(2999,3480)(3000,3479)(3001,3478)(3002,3477)(3003,3476)(3004,3475)(3005,3474)(3006,3473)(3007,3472)(3008,3471)(3009,3470)(3010,3469)(3011,3468)(3012,3467)(3013,3466)(3014,3465)(3015,3464)(3016,3463)(3017,3462)(3018,3461)(3019,3460)(3020,3459)(3021,3458)(3022,3457)(3023,3456)(3024,3455)(3025,3454)(3026,3453)(3027,3452)(3028,3451)(3029,3450)(3030,3449)(3031,3448)(3032,3447)(3033,3446)(3034,3445)(3035,3444)(3036,3443)(3037,3442)(3038,3441)(3039,3440)(3040,3439)(3041,3438)(3042,3437)(3043,3436)(3044,3435)(3045,3434)(3046,3433)(3047,3432)(3048,3431)(3049,3430)(3050,3429)(3051,3428)(3052,3427)(3053,3426)(3054,3425)(3055,3424)(3056,3423)(3057,3422)(3058,3421)(3059,3420)(3060,3419)(3061,3418)(3062,3417)(3063,3416)(3064,3415)(3065,3414)(3066,3413)(3067,3412)(3068,3411)(3069,3410)(3070,3409)(3071,3408)(3072,3407)(3073,3406)(3074,3405)(3075,3404)(3076,3403)(3077,3402)(3078,3401)(3079,3400)(3080,3399)(3081,3398)(3082,3397)(3083,3396)(3084,3395)(3085,3394)(3086,3393)(3087,3392)(3088,3391)(3089,3390)(3090,3389)(3091,3388)(3092,3387)(3093,3386)(3094,3385)(3095,3384)(3096,3383)(3097,3382)(3098,3381)(3099,3380)(3100,3379)(3101,3378)(3102,3377)(3103,3376)(3104,3375)(3105,3374)(3106,3373)(3107,3372)(3108,3371)(3109,3370)(3110,3369)(3111,3368)(3112,3367)(3113,3366)(3114,3365)(3115,3364)(3116,3363)(3117,3362)(3118,3361)(3119,3360)(3120,3359)(3121,3358)(3122,3357)(3123,3356)(3124,3355)(3125,3354)(3126,3353)(3127,3352)(3128,3351)(3129,3350)(3130,3349)(3131,3348)(3132,3347)(3133,3346)(3134,3345)(3135,3344)(3136,3343)(3137,3342)(3138,3341)(3139,3340)(3140,3339)(3141,3338)(3142,3337)(3143,3336)(3144,3335)(3145,3334)(3146,3333)(3147,3332)(3148,3331)(3149,3330)(3150,3329)(3151,3328)(3152,3327)(3153,3326)(3154,3325)(3155,3324)(3156,3323)(3157,3322)(3158,3321)(3159,3320)(3160,3319)(3161,3318)(3162,3317)(3163,3316)(3164,3315)(3165,3314)(3166,3313)(3167,3312)(3168,3311)(3169,3310)(3170,3309)(3171,3308)(3172,3307)(3173,3306)(3174,3305)(3175,3304)(3176,3303)(3177,3302)(3178,3301)(3179,3300)(3180,3299)(3181,3298)(3182,3297)(3183,3296)(3184,3295)(3185,3294)(3186,3293)(3187,3292)(3188,3291)(3189,3290)(3190,3289)(3191,3288)(3192,3287)(3193,3286)(3194,3285)(3195,3284)(3196,3283)(3197,3282)(3198,3281)(3199,3280)(3200,3279)(3201,3278)(3202,3277)(3203,3276)(3204,3275)(3205,3274)(3206,3273)(3207,3272)(3208,3271)(3209,3270)(3210,3269)(3211,3268)(3212,3267)(3213,3266)(3214,3265)(3215,3264)(3216,3263)(3217,3262)(3218,3261)(3219,3260)(3220,3259)(3221,3258)(3222,3257)(3223,3256)(3224,3255)(3225,3254)(3226,3253)(3227,3252)(3228,3251)(3229,3250)(3230,3249)(3231,3248)(3232,3247)(3233,3246)(3234,3245)(3235,3244)(3236,3243)(3237,3242)(3238,3241)(3239,3240)Polycyclic presentation:
2^2,6469|a^2=b,c^a=c^64686472 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(25876, 1);