Finite Group DatabasebetaFinite Group Databasebeta| order | 23708 |
| automorphism | ? |
| homology | Abelianization (H1) = C4 · Schur multiplier (H2) = C1 |
| dicyclic | Dic5927 |
| unambiguous semidirect product | C5927⋊C4 |
| derived, Sylow | C5927 ⋊ C4 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C2 | D5927 |
| commutator, hypocenter | C5927 | C4 |
| Fitting, socle, prime radical, cosocle | C2×C5927 | C2 |
| LCS | G ▷ C5927 | |
| UCS | C1 ◁ C2 | |
6 conjugacy classes of subgroups.
| minimal degree | μ(G) = 5931 |
| transitive degree | μt(G) = 23708 |
A minimal faithful permutation representation — 2 generators on 5931 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);(1,3,2,4)(6,5931)(7,5930)(8,5929)(9,5928)(10,5927)(11,5926)(12,5925)(13,5924)(14,5923)(15,5922)(16,5921)(17,5920)(18,5919)(19,5918)(20,5917)(21,5916)(22,5915)(23,5914)(24,5913)(25,5912)(26,5911)(27,5910)(28,5909)(29,5908)(30,5907)(31,5906)(32,5905)(33,5904)(34,5903)(35,5902)(36,5901)(37,5900)(38,5899)(39,5898)(40,5897)(41,5896)(42,5895)(43,5894)(44,5893)(45,5892)(46,5891)(47,5890)(48,5889)(49,5888)(50,5887)(51,5886)(52,5885)(53,5884)(54,5883)(55,5882)(56,5881)(57,5880)(58,5879)(59,5878)(60,5877)(61,5876)(62,5875)(63,5874)(64,5873)(65,5872)(66,5871)(67,5870)(68,5869)(69,5868)(70,5867)(71,5866)(72,5865)(73,5864)(74,5863)(75,5862)(76,5861)(77,5860)(78,5859)(79,5858)(80,5857)(81,5856)(82,5855)(83,5854)(84,5853)(85,5852)(86,5851)(87,5850)(88,5849)(89,5848)(90,5847)(91,5846)(92,5845)(93,5844)(94,5843)(95,5842)(96,5841)(97,5840)(98,5839)(99,5838)(100,5837)(101,5836)(102,5835)(103,5834)(104,5833)(105,5832)(106,5831)(107,5830)(108,5829)(109,5828)(110,5827)(111,5826)(112,5825)(113,5824)(114,5823)(115,5822)(116,5821)(117,5820)(118,5819)(119,5818)(120,5817)(121,5816)(122,5815)(123,5814)(124,5813)(125,5812)(126,5811)(127,5810)(128,5809)(129,5808)(130,5807)(131,5806)(132,5805)(133,5804)(134,5803)(135,5802)(136,5801)(137,5800)(138,5799)(139,5798)(140,5797)(141,5796)(142,5795)(143,5794)(144,5793)(145,5792)(146,5791)(147,5790)(148,5789)(149,5788)(150,5787)(151,5786)(152,5785)(153,5784)(154,5783)(155,5782)(156,5781)(157,5780)(158,5779)(159,5778)(160,5777)(161,5776)(162,5775)(163,5774)(164,5773)(165,5772)(166,5771)(167,5770)(168,5769)(169,5768)(170,5767)(171,5766)(172,5765)(173,5764)(174,5763)(175,5762)(176,5761)(177,5760)(178,5759)(179,5758)(180,5757)(181,5756)(182,5755)(183,5754)(184,5753)(185,5752)(186,5751)(187,5750)(188,5749)(189,5748)(190,5747)(191,5746)(192,5745)(193,5744)(194,5743)(195,5742)(196,5741)(197,5740)(198,5739)(199,5738)(200,5737)(201,5736)(202,5735)(203,5734)(204,5733)(205,5732)(206,5731)(207,5730)(208,5729)(209,5728)(210,5727)(211,5726)(212,5725)(213,5724)(214,5723)(215,5722)(216,5721)(217,5720)(218,5719)(219,5718)(220,5717)(221,5716)(222,5715)(223,5714)(224,5713)(225,5712)(226,5711)(227,5710)(228,5709)(229,5708)(230,5707)(231,5706)(232,5705)(233,5704)(234,5703)(235,5702)(236,5701)(237,5700)(238,5699)(239,5698)(240,5697)(241,5696)(242,5695)(243,5694)(244,5693)(245,5692)(246,5691)(247,5690)(248,5689)(249,5688)(250,5687)(251,5686)(252,5685)(253,5684)(254,5683)(255,5682)(256,5681)(257,5680)(258,5679)(259,5678)(260,5677)(261,5676)(262,5675)(263,5674)(264,5673)(265,5672)(266,5671)(267,5670)(268,5669)(269,5668)(270,5667)(271,5666)(272,5665)(273,5664)(274,5663)(275,5662)(276,5661)(277,5660)(278,5659)(279,5658)(280,5657)(281,5656)(282,5655)(283,5654)(284,5653)(285,5652)(286,5651)(287,5650)(288,5649)(289,5648)(290,5647)(291,5646)(292,5645)(293,5644)(294,5643)(295,5642)(296,5641)(297,5640)(298,5639)(299,5638)(300,5637)(301,5636)(302,5635)(303,5634)(304,5633)(305,5632)(306,5631)(307,5630)(308,5629)(309,5628)(310,5627)(311,5626)(312,5625)(313,5624)(314,5623)(315,5622)(316,5621)(317,5620)(318,5619)(319,5618)(320,5617)(321,5616)(322,5615)(323,5614)(324,5613)(325,5612)(326,5611)(327,5610)(328,5609)(329,5608)(330,5607)(331,5606)(332,5605)(333,5604)(334,5603)(335,5602)(336,5601)(337,5600)(338,5599)(339,5598)(340,5597)(341,5596)(342,5595)(343,5594)(344,5593)(345,5592)(346,5591)(347,5590)(348,5589)(349,5588)(350,5587)(351,5586)(352,5585)(353,5584)(354,5583)(355,5582)(356,5581)(357,5580)(358,5579)(359,5578)(360,5577)(361,5576)(362,5575)(363,5574)(364,5573)(365,5572)(366,5571)(367,5570)(368,5569)(369,5568)(370,5567)(371,5566)(372,5565)(373,5564)(374,5563)(375,5562)(376,5561)(377,5560)(378,5559)(379,5558)(380,5557)(381,5556)(382,5555)(383,5554)(384,5553)(385,5552)(386,5551)(387,5550)(388,5549)(389,5548)(390,5547)(391,5546)(392,5545)(393,5544)(394,5543)(395,5542)(396,5541)(397,5540)(398,5539)(399,5538)(400,5537)(401,5536)(402,5535)(403,5534)(404,5533)(405,5532)(406,5531)(407,5530)(408,5529)(409,5528)(410,5527)(411,5526)(412,5525)(413,5524)(414,5523)(415,5522)(416,5521)(417,5520)(418,5519)(419,5518)(420,5517)(421,5516)(422,5515)(423,5514)(424,5513)(425,5512)(426,5511)(427,5510)(428,5509)(429,5508)(430,5507)(431,5506)(432,5505)(433,5504)(434,5503)(435,5502)(436,5501)(437,5500)(438,5499)(439,5498)(440,5497)(441,5496)(442,5495)(443,5494)(444,5493)(445,5492)(446,5491)(447,5490)(448,5489)(449,5488)(450,5487)(451,5486)(452,5485)(453,5484)(454,5483)(455,5482)(456,5481)(457,5480)(458,5479)(459,5478)(460,5477)(461,5476)(462,5475)(463,5474)(464,5473)(465,5472)(466,5471)(467,5470)(468,5469)(469,5468)(470,5467)(471,5466)(472,5465)(473,5464)(474,5463)(475,5462)(476,5461)(477,5460)(478,5459)(479,5458)(480,5457)(481,5456)(482,5455)(483,5454)(484,5453)(485,5452)(486,5451)(487,5450)(488,5449)(489,5448)(490,5447)(491,5446)(492,5445)(493,5444)(494,5443)(495,5442)(496,5441)(497,5440)(498,5439)(499,5438)(500,5437)(501,5436)(502,5435)(503,5434)(504,5433)(505,5432)(506,5431)(507,5430)(508,5429)(509,5428)(510,5427)(511,5426)(512,5425)(513,5424)(514,5423)(515,5422)(516,5421)(517,5420)(518,5419)(519,5418)(520,5417)(521,5416)(522,5415)(523,5414)(524,5413)(525,5412)(526,5411)(527,5410)(528,5409)(529,5408)(530,5407)(531,5406)(532,5405)(533,5404)(534,5403)(535,5402)(536,5401)(537,5400)(538,5399)(539,5398)(540,5397)(541,5396)(542,5395)(543,5394)(544,5393)(545,5392)(546,5391)(547,5390)(548,5389)(549,5388)(550,5387)(551,5386)(552,5385)(553,5384)(554,5383)(555,5382)(556,5381)(557,5380)(558,5379)(559,5378)(560,5377)(561,5376)(562,5375)(563,5374)(564,5373)(565,5372)(566,5371)(567,5370)(568,5369)(569,5368)(570,5367)(571,5366)(572,5365)(573,5364)(574,5363)(575,5362)(576,5361)(577,5360)(578,5359)(579,5358)(580,5357)(581,5356)(582,5355)(583,5354)(584,5353)(585,5352)(586,5351)(587,5350)(588,5349)(589,5348)(590,5347)(591,5346)(592,5345)(593,5344)(594,5343)(595,5342)(596,5341)(597,5340)(598,5339)(599,5338)(600,5337)(601,5336)(602,5335)(603,5334)(604,5333)(605,5332)(606,5331)(607,5330)(608,5329)(609,5328)(610,5327)(611,5326)(612,5325)(613,5324)(614,5323)(615,5322)(616,5321)(617,5320)(618,5319)(619,5318)(620,5317)(621,5316)(622,5315)(623,5314)(624,5313)(625,5312)(626,5311)(627,5310)(628,5309)(629,5308)(630,5307)(631,5306)(632,5305)(633,5304)(634,5303)(635,5302)(636,5301)(637,5300)(638,5299)(639,5298)(640,5297)(641,5296)(642,5295)(643,5294)(644,5293)(645,5292)(646,5291)(647,5290)(648,5289)(649,5288)(650,5287)(651,5286)(652,5285)(653,5284)(654,5283)(655,5282)(656,5281)(657,5280)(658,5279)(659,5278)(660,5277)(661,5276)(662,5275)(663,5274)(664,5273)(665,5272)(666,5271)(667,5270)(668,5269)(669,5268)(670,5267)(671,5266)(672,5265)(673,5264)(674,5263)(675,5262)(676,5261)(677,5260)(678,5259)(679,5258)(680,5257)(681,5256)(682,5255)(683,5254)(684,5253)(685,5252)(686,5251)(687,5250)(688,5249)(689,5248)(690,5247)(691,5246)(692,5245)(693,5244)(694,5243)(695,5242)(696,5241)(697,5240)(698,5239)(699,5238)(700,5237)(701,5236)(702,5235)(703,5234)(704,5233)(705,5232)(706,5231)(707,5230)(708,5229)(709,5228)(710,5227)(711,5226)(712,5225)(713,5224)(714,5223)(715,5222)(716,5221)(717,5220)(718,5219)(719,5218)(720,5217)(721,5216)(722,5215)(723,5214)(724,5213)(725,5212)(726,5211)(727,5210)(728,5209)(729,5208)(730,5207)(731,5206)(732,5205)(733,5204)(734,5203)(735,5202)(736,5201)(737,5200)(738,5199)(739,5198)(740,5197)(741,5196)(742,5195)(743,5194)(744,5193)(745,5192)(746,5191)(747,5190)(748,5189)(749,5188)(750,5187)(751,5186)(752,5185)(753,5184)(754,5183)(755,5182)(756,5181)(757,5180)(758,5179)(759,5178)(760,5177)(761,5176)(762,5175)(763,5174)(764,5173)(765,5172)(766,5171)(767,5170)(768,5169)(769,5168)(770,5167)(771,5166)(772,5165)(773,5164)(774,5163)(775,5162)(776,5161)(777,5160)(778,5159)(779,5158)(780,5157)(781,5156)(782,5155)(783,5154)(784,5153)(785,5152)(786,5151)(787,5150)(788,5149)(789,5148)(790,5147)(791,5146)(792,5145)(793,5144)(794,5143)(795,5142)(796,5141)(797,5140)(798,5139)(799,5138)(800,5137)(801,5136)(802,5135)(803,5134)(804,5133)(805,5132)(806,5131)(807,5130)(808,5129)(809,5128)(810,5127)(811,5126)(812,5125)(813,5124)(814,5123)(815,5122)(816,5121)(817,5120)(818,5119)(819,5118)(820,5117)(821,5116)(822,5115)(823,5114)(824,5113)(825,5112)(826,5111)(827,5110)(828,5109)(829,5108)(830,5107)(831,5106)(832,5105)(833,5104)(834,5103)(835,5102)(836,5101)(837,5100)(838,5099)(839,5098)(840,5097)(841,5096)(842,5095)(843,5094)(844,5093)(845,5092)(846,5091)(847,5090)(848,5089)(849,5088)(850,5087)(851,5086)(852,5085)(853,5084)(854,5083)(855,5082)(856,5081)(857,5080)(858,5079)(859,5078)(860,5077)(861,5076)(862,5075)(863,5074)(864,5073)(865,5072)(866,5071)(867,5070)(868,5069)(869,5068)(870,5067)(871,5066)(872,5065)(873,5064)(874,5063)(875,5062)(876,5061)(877,5060)(878,5059)(879,5058)(880,5057)(881,5056)(882,5055)(883,5054)(884,5053)(885,5052)(886,5051)(887,5050)(888,5049)(889,5048)(890,5047)(891,5046)(892,5045)(893,5044)(894,5043)(895,5042)(896,5041)(897,5040)(898,5039)(899,5038)(900,5037)(901,5036)(902,5035)(903,5034)(904,5033)(905,5032)(906,5031)(907,5030)(908,5029)(909,5028)(910,5027)(911,5026)(912,5025)(913,5024)(914,5023)(915,5022)(916,5021)(917,5020)(918,5019)(919,5018)(920,5017)(921,5016)(922,5015)(923,5014)(924,5013)(925,5012)(926,5011)(927,5010)(928,5009)(929,5008)(930,5007)(931,5006)(932,5005)(933,5004)(934,5003)(935,5002)(936,5001)(937,5000)(938,4999)(939,4998)(940,4997)(941,4996)(942,4995)(943,4994)(944,4993)(945,4992)(946,4991)(947,4990)(948,4989)(949,4988)(950,4987)(951,4986)(952,4985)(953,4984)(954,4983)(955,4982)(956,4981)(957,4980)(958,4979)(959,4978)(960,4977)(961,4976)(962,4975)(963,4974)(964,4973)(965,4972)(966,4971)(967,4970)(968,4969)(969,4968)(970,4967)(971,4966)(972,4965)(973,4964)(974,4963)(975,4962)(976,4961)(977,4960)(978,4959)(979,4958)(980,4957)(981,4956)(982,4955)(983,4954)(984,4953)(985,4952)(986,4951)(987,4950)(988,4949)(989,4948)(990,4947)(991,4946)(992,4945)(993,4944)(994,4943)(995,4942)(996,4941)(997,4940)(998,4939)(999,4938)(1000,4937)(1001,4936)(1002,4935)(1003,4934)(1004,4933)(1005,4932)(1006,4931)(1007,4930)(1008,4929)(1009,4928)(1010,4927)(1011,4926)(1012,4925)(1013,4924)(1014,4923)(1015,4922)(1016,4921)(1017,4920)(1018,4919)(1019,4918)(1020,4917)(1021,4916)(1022,4915)(1023,4914)(1024,4913)(1025,4912)(1026,4911)(1027,4910)(1028,4909)(1029,4908)(1030,4907)(1031,4906)(1032,4905)(1033,4904)(1034,4903)(1035,4902)(1036,4901)(1037,4900)(1038,4899)(1039,4898)(1040,4897)(1041,4896)(1042,4895)(1043,4894)(1044,4893)(1045,4892)(1046,4891)(1047,4890)(1048,4889)(1049,4888)(1050,4887)(1051,4886)(1052,4885)(1053,4884)(1054,4883)(1055,4882)(1056,4881)(1057,4880)(1058,4879)(1059,4878)(1060,4877)(1061,4876)(1062,4875)(1063,4874)(1064,4873)(1065,4872)(1066,4871)(1067,4870)(1068,4869)(1069,4868)(1070,4867)(1071,4866)(1072,4865)(1073,4864)(1074,4863)(1075,4862)(1076,4861)(1077,4860)(1078,4859)(1079,4858)(1080,4857)(1081,4856)(1082,4855)(1083,4854)(1084,4853)(1085,4852)(1086,4851)(1087,4850)(1088,4849)(1089,4848)(1090,4847)(1091,4846)(1092,4845)(1093,4844)(1094,4843)(1095,4842)(1096,4841)(1097,4840)(1098,4839)(1099,4838)(1100,4837)(1101,4836)(1102,4835)(1103,4834)(1104,4833)(1105,4832)(1106,4831)(1107,4830)(1108,4829)(1109,4828)(1110,4827)(1111,4826)(1112,4825)(1113,4824)(1114,4823)(1115,4822)(1116,4821)(1117,4820)(1118,4819)(1119,4818)(1120,4817)(1121,4816)(1122,4815)(1123,4814)(1124,4813)(1125,4812)(1126,4811)(1127,4810)(1128,4809)(1129,4808)(1130,4807)(1131,4806)(1132,4805)(1133,4804)(1134,4803)(1135,4802)(1136,4801)(1137,4800)(1138,4799)(1139,4798)(1140,4797)(1141,4796)(1142,4795)(1143,4794)(1144,4793)(1145,4792)(1146,4791)(1147,4790)(1148,4789)(1149,4788)(1150,4787)(1151,4786)(1152,4785)(1153,4784)(1154,4783)(1155,4782)(1156,4781)(1157,4780)(1158,4779)(1159,4778)(1160,4777)(1161,4776)(1162,4775)(1163,4774)(1164,4773)(1165,4772)(1166,4771)(1167,4770)(1168,4769)(1169,4768)(1170,4767)(1171,4766)(1172,4765)(1173,4764)(1174,4763)(1175,4762)(1176,4761)(1177,4760)(1178,4759)(1179,4758)(1180,4757)(1181,4756)(1182,4755)(1183,4754)(1184,4753)(1185,4752)(1186,4751)(1187,4750)(1188,4749)(1189,4748)(1190,4747)(1191,4746)(1192,4745)(1193,4744)(1194,4743)(1195,4742)(1196,4741)(1197,4740)(1198,4739)(1199,4738)(1200,4737)(1201,4736)(1202,4735)(1203,4734)(1204,4733)(1205,4732)(1206,4731)(1207,4730)(1208,4729)(1209,4728)(1210,4727)(1211,4726)(1212,4725)(1213,4724)(1214,4723)(1215,4722)(1216,4721)(1217,4720)(1218,4719)(1219,4718)(1220,4717)(1221,4716)(1222,4715)(1223,4714)(1224,4713)(1225,4712)(1226,4711)(1227,4710)(1228,4709)(1229,4708)(1230,4707)(1231,4706)(1232,4705)(1233,4704)(1234,4703)(1235,4702)(1236,4701)(1237,4700)(1238,4699)(1239,4698)(1240,4697)(1241,4696)(1242,4695)(1243,4694)(1244,4693)(1245,4692)(1246,4691)(1247,4690)(1248,4689)(1249,4688)(1250,4687)(1251,4686)(1252,4685)(1253,4684)(1254,4683)(1255,4682)(1256,4681)(1257,4680)(1258,4679)(1259,4678)(1260,4677)(1261,4676)(1262,4675)(1263,4674)(1264,4673)(1265,4672)(1266,4671)(1267,4670)(1268,4669)(1269,4668)(1270,4667)(1271,4666)(1272,4665)(1273,4664)(1274,4663)(1275,4662)(1276,4661)(1277,4660)(1278,4659)(1279,4658)(1280,4657)(1281,4656)(1282,4655)(1283,4654)(1284,4653)(1285,4652)(1286,4651)(1287,4650)(1288,4649)(1289,4648)(1290,4647)(1291,4646)(1292,4645)(1293,4644)(1294,4643)(1295,4642)(1296,4641)(1297,4640)(1298,4639)(1299,4638)(1300,4637)(1301,4636)(1302,4635)(1303,4634)(1304,4633)(1305,4632)(1306,4631)(1307,4630)(1308,4629)(1309,4628)(1310,4627)(1311,4626)(1312,4625)(1313,4624)(1314,4623)(1315,4622)(1316,4621)(1317,4620)(1318,4619)(1319,4618)(1320,4617)(1321,4616)(1322,4615)(1323,4614)(1324,4613)(1325,4612)(1326,4611)(1327,4610)(1328,4609)(1329,4608)(1330,4607)(1331,4606)(1332,4605)(1333,4604)(1334,4603)(1335,4602)(1336,4601)(1337,4600)(1338,4599)(1339,4598)(1340,4597)(1341,4596)(1342,4595)(1343,4594)(1344,4593)(1345,4592)(1346,4591)(1347,4590)(1348,4589)(1349,4588)(1350,4587)(1351,4586)(1352,4585)(1353,4584)(1354,4583)(1355,4582)(1356,4581)(1357,4580)(1358,4579)(1359,4578)(1360,4577)(1361,4576)(1362,4575)(1363,4574)(1364,4573)(1365,4572)(1366,4571)(1367,4570)(1368,4569)(1369,4568)(1370,4567)(1371,4566)(1372,4565)(1373,4564)(1374,4563)(1375,4562)(1376,4561)(1377,4560)(1378,4559)(1379,4558)(1380,4557)(1381,4556)(1382,4555)(1383,4554)(1384,4553)(1385,4552)(1386,4551)(1387,4550)(1388,4549)(1389,4548)(1390,4547)(1391,4546)(1392,4545)(1393,4544)(1394,4543)(1395,4542)(1396,4541)(1397,4540)(1398,4539)(1399,4538)(1400,4537)(1401,4536)(1402,4535)(1403,4534)(1404,4533)(1405,4532)(1406,4531)(1407,4530)(1408,4529)(1409,4528)(1410,4527)(1411,4526)(1412,4525)(1413,4524)(1414,4523)(1415,4522)(1416,4521)(1417,4520)(1418,4519)(1419,4518)(1420,4517)(1421,4516)(1422,4515)(1423,4514)(1424,4513)(1425,4512)(1426,4511)(1427,4510)(1428,4509)(1429,4508)(1430,4507)(1431,4506)(1432,4505)(1433,4504)(1434,4503)(1435,4502)(1436,4501)(1437,4500)(1438,4499)(1439,4498)(1440,4497)(1441,4496)(1442,4495)(1443,4494)(1444,4493)(1445,4492)(1446,4491)(1447,4490)(1448,4489)(1449,4488)(1450,4487)(1451,4486)(1452,4485)(1453,4484)(1454,4483)(1455,4482)(1456,4481)(1457,4480)(1458,4479)(1459,4478)(1460,4477)(1461,4476)(1462,4475)(1463,4474)(1464,4473)(1465,4472)(1466,4471)(1467,4470)(1468,4469)(1469,4468)(1470,4467)(1471,4466)(1472,4465)(1473,4464)(1474,4463)(1475,4462)(1476,4461)(1477,4460)(1478,4459)(1479,4458)(1480,4457)(1481,4456)(1482,4455)(1483,4454)(1484,4453)(1485,4452)(1486,4451)(1487,4450)(1488,4449)(1489,4448)(1490,4447)(1491,4446)(1492,4445)(1493,4444)(1494,4443)(1495,4442)(1496,4441)(1497,4440)(1498,4439)(1499,4438)(1500,4437)(1501,4436)(1502,4435)(1503,4434)(1504,4433)(1505,4432)(1506,4431)(1507,4430)(1508,4429)(1509,4428)(1510,4427)(1511,4426)(1512,4425)(1513,4424)(1514,4423)(1515,4422)(1516,4421)(1517,4420)(1518,4419)(1519,4418)(1520,4417)(1521,4416)(1522,4415)(1523,4414)(1524,4413)(1525,4412)(1526,4411)(1527,4410)(1528,4409)(1529,4408)(1530,4407)(1531,4406)(1532,4405)(1533,4404)(1534,4403)(1535,4402)(1536,4401)(1537,4400)(1538,4399)(1539,4398)(1540,4397)(1541,4396)(1542,4395)(1543,4394)(1544,4393)(1545,4392)(1546,4391)(1547,4390)(1548,4389)(1549,4388)(1550,4387)(1551,4386)(1552,4385)(1553,4384)(1554,4383)(1555,4382)(1556,4381)(1557,4380)(1558,4379)(1559,4378)(1560,4377)(1561,4376)(1562,4375)(1563,4374)(1564,4373)(1565,4372)(1566,4371)(1567,4370)(1568,4369)(1569,4368)(1570,4367)(1571,4366)(1572,4365)(1573,4364)(1574,4363)(1575,4362)(1576,4361)(1577,4360)(1578,4359)(1579,4358)(1580,4357)(1581,4356)(1582,4355)(1583,4354)(1584,4353)(1585,4352)(1586,4351)(1587,4350)(1588,4349)(1589,4348)(1590,4347)(1591,4346)(1592,4345)(1593,4344)(1594,4343)(1595,4342)(1596,4341)(1597,4340)(1598,4339)(1599,4338)(1600,4337)(1601,4336)(1602,4335)(1603,4334)(1604,4333)(1605,4332)(1606,4331)(1607,4330)(1608,4329)(1609,4328)(1610,4327)(1611,4326)(1612,4325)(1613,4324)(1614,4323)(1615,4322)(1616,4321)(1617,4320)(1618,4319)(1619,4318)(1620,4317)(1621,4316)(1622,4315)(1623,4314)(1624,4313)(1625,4312)(1626,4311)(1627,4310)(1628,4309)(1629,4308)(1630,4307)(1631,4306)(1632,4305)(1633,4304)(1634,4303)(1635,4302)(1636,4301)(1637,4300)(1638,4299)(1639,4298)(1640,4297)(1641,4296)(1642,4295)(1643,4294)(1644,4293)(1645,4292)(1646,4291)(1647,4290)(1648,4289)(1649,4288)(1650,4287)(1651,4286)(1652,4285)(1653,4284)(1654,4283)(1655,4282)(1656,4281)(1657,4280)(1658,4279)(1659,4278)(1660,4277)(1661,4276)(1662,4275)(1663,4274)(1664,4273)(1665,4272)(1666,4271)(1667,4270)(1668,4269)(1669,4268)(1670,4267)(1671,4266)(1672,4265)(1673,4264)(1674,4263)(1675,4262)(1676,4261)(1677,4260)(1678,4259)(1679,4258)(1680,4257)(1681,4256)(1682,4255)(1683,4254)(1684,4253)(1685,4252)(1686,4251)(1687,4250)(1688,4249)(1689,4248)(1690,4247)(1691,4246)(1692,4245)(1693,4244)(1694,4243)(1695,4242)(1696,4241)(1697,4240)(1698,4239)(1699,4238)(1700,4237)(1701,4236)(1702,4235)(1703,4234)(1704,4233)(1705,4232)(1706,4231)(1707,4230)(1708,4229)(1709,4228)(1710,4227)(1711,4226)(1712,4225)(1713,4224)(1714,4223)(1715,4222)(1716,4221)(1717,4220)(1718,4219)(1719,4218)(1720,4217)(1721,4216)(1722,4215)(1723,4214)(1724,4213)(1725,4212)(1726,4211)(1727,4210)(1728,4209)(1729,4208)(1730,4207)(1731,4206)(1732,4205)(1733,4204)(1734,4203)(1735,4202)(1736,4201)(1737,4200)(1738,4199)(1739,4198)(1740,4197)(1741,4196)(1742,4195)(1743,4194)(1744,4193)(1745,4192)(1746,4191)(1747,4190)(1748,4189)(1749,4188)(1750,4187)(1751,4186)(1752,4185)(1753,4184)(1754,4183)(1755,4182)(1756,4181)(1757,4180)(1758,4179)(1759,4178)(1760,4177)(1761,4176)(1762,4175)(1763,4174)(1764,4173)(1765,4172)(1766,4171)(1767,4170)(1768,4169)(1769,4168)(1770,4167)(1771,4166)(1772,4165)(1773,4164)(1774,4163)(1775,4162)(1776,4161)(1777,4160)(1778,4159)(1779,4158)(1780,4157)(1781,4156)(1782,4155)(1783,4154)(1784,4153)(1785,4152)(1786,4151)(1787,4150)(1788,4149)(1789,4148)(1790,4147)(1791,4146)(1792,4145)(1793,4144)(1794,4143)(1795,4142)(1796,4141)(1797,4140)(1798,4139)(1799,4138)(1800,4137)(1801,4136)(1802,4135)(1803,4134)(1804,4133)(1805,4132)(1806,4131)(1807,4130)(1808,4129)(1809,4128)(1810,4127)(1811,4126)(1812,4125)(1813,4124)(1814,4123)(1815,4122)(1816,4121)(1817,4120)(1818,4119)(1819,4118)(1820,4117)(1821,4116)(1822,4115)(1823,4114)(1824,4113)(1825,4112)(1826,4111)(1827,4110)(1828,4109)(1829,4108)(1830,4107)(1831,4106)(1832,4105)(1833,4104)(1834,4103)(1835,4102)(1836,4101)(1837,4100)(1838,4099)(1839,4098)(1840,4097)(1841,4096)(1842,4095)(1843,4094)(1844,4093)(1845,4092)(1846,4091)(1847,4090)(1848,4089)(1849,4088)(1850,4087)(1851,4086)(1852,4085)(1853,4084)(1854,4083)(1855,4082)(1856,4081)(1857,4080)(1858,4079)(1859,4078)(1860,4077)(1861,4076)(1862,4075)(1863,4074)(1864,4073)(1865,4072)(1866,4071)(1867,4070)(1868,4069)(1869,4068)(1870,4067)(1871,4066)(1872,4065)(1873,4064)(1874,4063)(1875,4062)(1876,4061)(1877,4060)(1878,4059)(1879,4058)(1880,4057)(1881,4056)(1882,4055)(1883,4054)(1884,4053)(1885,4052)(1886,4051)(1887,4050)(1888,4049)(1889,4048)(1890,4047)(1891,4046)(1892,4045)(1893,4044)(1894,4043)(1895,4042)(1896,4041)(1897,4040)(1898,4039)(1899,4038)(1900,4037)(1901,4036)(1902,4035)(1903,4034)(1904,4033)(1905,4032)(1906,4031)(1907,4030)(1908,4029)(1909,4028)(1910,4027)(1911,4026)(1912,4025)(1913,4024)(1914,4023)(1915,4022)(1916,4021)(1917,4020)(1918,4019)(1919,4018)(1920,4017)(1921,4016)(1922,4015)(1923,4014)(1924,4013)(1925,4012)(1926,4011)(1927,4010)(1928,4009)(1929,4008)(1930,4007)(1931,4006)(1932,4005)(1933,4004)(1934,4003)(1935,4002)(1936,4001)(1937,4000)(1938,3999)(1939,3998)(1940,3997)(1941,3996)(1942,3995)(1943,3994)(1944,3993)(1945,3992)(1946,3991)(1947,3990)(1948,3989)(1949,3988)(1950,3987)(1951,3986)(1952,3985)(1953,3984)(1954,3983)(1955,3982)(1956,3981)(1957,3980)(1958,3979)(1959,3978)(1960,3977)(1961,3976)(1962,3975)(1963,3974)(1964,3973)(1965,3972)(1966,3971)(1967,3970)(1968,3969)(1969,3968)(1970,3967)(1971,3966)(1972,3965)(1973,3964)(1974,3963)(1975,3962)(1976,3961)(1977,3960)(1978,3959)(1979,3958)(1980,3957)(1981,3956)(1982,3955)(1983,3954)(1984,3953)(1985,3952)(1986,3951)(1987,3950)(1988,3949)(1989,3948)(1990,3947)(1991,3946)(1992,3945)(1993,3944)(1994,3943)(1995,3942)(1996,3941)(1997,3940)(1998,3939)(1999,3938)(2000,3937)(2001,3936)(2002,3935)(2003,3934)(2004,3933)(2005,3932)(2006,3931)(2007,3930)(2008,3929)(2009,3928)(2010,3927)(2011,3926)(2012,3925)(2013,3924)(2014,3923)(2015,3922)(2016,3921)(2017,3920)(2018,3919)(2019,3918)(2020,3917)(2021,3916)(2022,3915)(2023,3914)(2024,3913)(2025,3912)(2026,3911)(2027,3910)(2028,3909)(2029,3908)(2030,3907)(2031,3906)(2032,3905)(2033,3904)(2034,3903)(2035,3902)(2036,3901)(2037,3900)(2038,3899)(2039,3898)(2040,3897)(2041,3896)(2042,3895)(2043,3894)(2044,3893)(2045,3892)(2046,3891)(2047,3890)(2048,3889)(2049,3888)(2050,3887)(2051,3886)(2052,3885)(2053,3884)(2054,3883)(2055,3882)(2056,3881)(2057,3880)(2058,3879)(2059,3878)(2060,3877)(2061,3876)(2062,3875)(2063,3874)(2064,3873)(2065,3872)(2066,3871)(2067,3870)(2068,3869)(2069,3868)(2070,3867)(2071,3866)(2072,3865)(2073,3864)(2074,3863)(2075,3862)(2076,3861)(2077,3860)(2078,3859)(2079,3858)(2080,3857)(2081,3856)(2082,3855)(2083,3854)(2084,3853)(2085,3852)(2086,3851)(2087,3850)(2088,3849)(2089,3848)(2090,3847)(2091,3846)(2092,3845)(2093,3844)(2094,3843)(2095,3842)(2096,3841)(2097,3840)(2098,3839)(2099,3838)(2100,3837)(2101,3836)(2102,3835)(2103,3834)(2104,3833)(2105,3832)(2106,3831)(2107,3830)(2108,3829)(2109,3828)(2110,3827)(2111,3826)(2112,3825)(2113,3824)(2114,3823)(2115,3822)(2116,3821)(2117,3820)(2118,3819)(2119,3818)(2120,3817)(2121,3816)(2122,3815)(2123,3814)(2124,3813)(2125,3812)(2126,3811)(2127,3810)(2128,3809)(2129,3808)(2130,3807)(2131,3806)(2132,3805)(2133,3804)(2134,3803)(2135,3802)(2136,3801)(2137,3800)(2138,3799)(2139,3798)(2140,3797)(2141,3796)(2142,3795)(2143,3794)(2144,3793)(2145,3792)(2146,3791)(2147,3790)(2148,3789)(2149,3788)(2150,3787)(2151,3786)(2152,3785)(2153,3784)(2154,3783)(2155,3782)(2156,3781)(2157,3780)(2158,3779)(2159,3778)(2160,3777)(2161,3776)(2162,3775)(2163,3774)(2164,3773)(2165,3772)(2166,3771)(2167,3770)(2168,3769)(2169,3768)(2170,3767)(2171,3766)(2172,3765)(2173,3764)(2174,3763)(2175,3762)(2176,3761)(2177,3760)(2178,3759)(2179,3758)(2180,3757)(2181,3756)(2182,3755)(2183,3754)(2184,3753)(2185,3752)(2186,3751)(2187,3750)(2188,3749)(2189,3748)(2190,3747)(2191,3746)(2192,3745)(2193,3744)(2194,3743)(2195,3742)(2196,3741)(2197,3740)(2198,3739)(2199,3738)(2200,3737)(2201,3736)(2202,3735)(2203,3734)(2204,3733)(2205,3732)(2206,3731)(2207,3730)(2208,3729)(2209,3728)(2210,3727)(2211,3726)(2212,3725)(2213,3724)(2214,3723)(2215,3722)(2216,3721)(2217,3720)(2218,3719)(2219,3718)(2220,3717)(2221,3716)(2222,3715)(2223,3714)(2224,3713)(2225,3712)(2226,3711)(2227,3710)(2228,3709)(2229,3708)(2230,3707)(2231,3706)(2232,3705)(2233,3704)(2234,3703)(2235,3702)(2236,3701)(2237,3700)(2238,3699)(2239,3698)(2240,3697)(2241,3696)(2242,3695)(2243,3694)(2244,3693)(2245,3692)(2246,3691)(2247,3690)(2248,3689)(2249,3688)(2250,3687)(2251,3686)(2252,3685)(2253,3684)(2254,3683)(2255,3682)(2256,3681)(2257,3680)(2258,3679)(2259,3678)(2260,3677)(2261,3676)(2262,3675)(2263,3674)(2264,3673)(2265,3672)(2266,3671)(2267,3670)(2268,3669)(2269,3668)(2270,3667)(2271,3666)(2272,3665)(2273,3664)(2274,3663)(2275,3662)(2276,3661)(2277,3660)(2278,3659)(2279,3658)(2280,3657)(2281,3656)(2282,3655)(2283,3654)(2284,3653)(2285,3652)(2286,3651)(2287,3650)(2288,3649)(2289,3648)(2290,3647)(2291,3646)(2292,3645)(2293,3644)(2294,3643)(2295,3642)(2296,3641)(2297,3640)(2298,3639)(2299,3638)(2300,3637)(2301,3636)(2302,3635)(2303,3634)(2304,3633)(2305,3632)(2306,3631)(2307,3630)(2308,3629)(2309,3628)(2310,3627)(2311,3626)(2312,3625)(2313,3624)(2314,3623)(2315,3622)(2316,3621)(2317,3620)(2318,3619)(2319,3618)(2320,3617)(2321,3616)(2322,3615)(2323,3614)(2324,3613)(2325,3612)(2326,3611)(2327,3610)(2328,3609)(2329,3608)(2330,3607)(2331,3606)(2332,3605)(2333,3604)(2334,3603)(2335,3602)(2336,3601)(2337,3600)(2338,3599)(2339,3598)(2340,3597)(2341,3596)(2342,3595)(2343,3594)(2344,3593)(2345,3592)(2346,3591)(2347,3590)(2348,3589)(2349,3588)(2350,3587)(2351,3586)(2352,3585)(2353,3584)(2354,3583)(2355,3582)(2356,3581)(2357,3580)(2358,3579)(2359,3578)(2360,3577)(2361,3576)(2362,3575)(2363,3574)(2364,3573)(2365,3572)(2366,3571)(2367,3570)(2368,3569)(2369,3568)(2370,3567)(2371,3566)(2372,3565)(2373,3564)(2374,3563)(2375,3562)(2376,3561)(2377,3560)(2378,3559)(2379,3558)(2380,3557)(2381,3556)(2382,3555)(2383,3554)(2384,3553)(2385,3552)(2386,3551)(2387,3550)(2388,3549)(2389,3548)(2390,3547)(2391,3546)(2392,3545)(2393,3544)(2394,3543)(2395,3542)(2396,3541)(2397,3540)(2398,3539)(2399,3538)(2400,3537)(2401,3536)(2402,3535)(2403,3534)(2404,3533)(2405,3532)(2406,3531)(2407,3530)(2408,3529)(2409,3528)(2410,3527)(2411,3526)(2412,3525)(2413,3524)(2414,3523)(2415,3522)(2416,3521)(2417,3520)(2418,3519)(2419,3518)(2420,3517)(2421,3516)(2422,3515)(2423,3514)(2424,3513)(2425,3512)(2426,3511)(2427,3510)(2428,3509)(2429,3508)(2430,3507)(2431,3506)(2432,3505)(2433,3504)(2434,3503)(2435,3502)(2436,3501)(2437,3500)(2438,3499)(2439,3498)(2440,3497)(2441,3496)(2442,3495)(2443,3494)(2444,3493)(2445,3492)(2446,3491)(2447,3490)(2448,3489)(2449,3488)(2450,3487)(2451,3486)(2452,3485)(2453,3484)(2454,3483)(2455,3482)(2456,3481)(2457,3480)(2458,3479)(2459,3478)(2460,3477)(2461,3476)(2462,3475)(2463,3474)(2464,3473)(2465,3472)(2466,3471)(2467,3470)(2468,3469)(2469,3468)(2470,3467)(2471,3466)(2472,3465)(2473,3464)(2474,3463)(2475,3462)(2476,3461)(2477,3460)(2478,3459)(2479,3458)(2480,3457)(2481,3456)(2482,3455)(2483,3454)(2484,3453)(2485,3452)(2486,3451)(2487,3450)(2488,3449)(2489,3448)(2490,3447)(2491,3446)(2492,3445)(2493,3444)(2494,3443)(2495,3442)(2496,3441)(2497,3440)(2498,3439)(2499,3438)(2500,3437)(2501,3436)(2502,3435)(2503,3434)(2504,3433)(2505,3432)(2506,3431)(2507,3430)(2508,3429)(2509,3428)(2510,3427)(2511,3426)(2512,3425)(2513,3424)(2514,3423)(2515,3422)(2516,3421)(2517,3420)(2518,3419)(2519,3418)(2520,3417)(2521,3416)(2522,3415)(2523,3414)(2524,3413)(2525,3412)(2526,3411)(2527,3410)(2528,3409)(2529,3408)(2530,3407)(2531,3406)(2532,3405)(2533,3404)(2534,3403)(2535,3402)(2536,3401)(2537,3400)(2538,3399)(2539,3398)(2540,3397)(2541,3396)(2542,3395)(2543,3394)(2544,3393)(2545,3392)(2546,3391)(2547,3390)(2548,3389)(2549,3388)(2550,3387)(2551,3386)(2552,3385)(2553,3384)(2554,3383)(2555,3382)(2556,3381)(2557,3380)(2558,3379)(2559,3378)(2560,3377)(2561,3376)(2562,3375)(2563,3374)(2564,3373)(2565,3372)(2566,3371)(2567,3370)(2568,3369)(2569,3368)(2570,3367)(2571,3366)(2572,3365)(2573,3364)(2574,3363)(2575,3362)(2576,3361)(2577,3360)(2578,3359)(2579,3358)(2580,3357)(2581,3356)(2582,3355)(2583,3354)(2584,3353)(2585,3352)(2586,3351)(2587,3350)(2588,3349)(2589,3348)(2590,3347)(2591,3346)(2592,3345)(2593,3344)(2594,3343)(2595,3342)(2596,3341)(2597,3340)(2598,3339)(2599,3338)(2600,3337)(2601,3336)(2602,3335)(2603,3334)(2604,3333)(2605,3332)(2606,3331)(2607,3330)(2608,3329)(2609,3328)(2610,3327)(2611,3326)(2612,3325)(2613,3324)(2614,3323)(2615,3322)(2616,3321)(2617,3320)(2618,3319)(2619,3318)(2620,3317)(2621,3316)(2622,3315)(2623,3314)(2624,3313)(2625,3312)(2626,3311)(2627,3310)(2628,3309)(2629,3308)(2630,3307)(2631,3306)(2632,3305)(2633,3304)(2634,3303)(2635,3302)(2636,3301)(2637,3300)(2638,3299)(2639,3298)(2640,3297)(2641,3296)(2642,3295)(2643,3294)(2644,3293)(2645,3292)(2646,3291)(2647,3290)(2648,3289)(2649,3288)(2650,3287)(2651,3286)(2652,3285)(2653,3284)(2654,3283)(2655,3282)(2656,3281)(2657,3280)(2658,3279)(2659,3278)(2660,3277)(2661,3276)(2662,3275)(2663,3274)(2664,3273)(2665,3272)(2666,3271)(2667,3270)(2668,3269)(2669,3268)(2670,3267)(2671,3266)(2672,3265)(2673,3264)(2674,3263)(2675,3262)(2676,3261)(2677,3260)(2678,3259)(2679,3258)(2680,3257)(2681,3256)(2682,3255)(2683,3254)(2684,3253)(2685,3252)(2686,3251)(2687,3250)(2688,3249)(2689,3248)(2690,3247)(2691,3246)(2692,3245)(2693,3244)(2694,3243)(2695,3242)(2696,3241)(2697,3240)(2698,3239)(2699,3238)(2700,3237)(2701,3236)(2702,3235)(2703,3234)(2704,3233)(2705,3232)(2706,3231)(2707,3230)(2708,3229)(2709,3228)(2710,3227)(2711,3226)(2712,3225)(2713,3224)(2714,3223)(2715,3222)(2716,3221)(2717,3220)(2718,3219)(2719,3218)(2720,3217)(2721,3216)(2722,3215)(2723,3214)(2724,3213)(2725,3212)(2726,3211)(2727,3210)(2728,3209)(2729,3208)(2730,3207)(2731,3206)(2732,3205)(2733,3204)(2734,3203)(2735,3202)(2736,3201)(2737,3200)(2738,3199)(2739,3198)(2740,3197)(2741,3196)(2742,3195)(2743,3194)(2744,3193)(2745,3192)(2746,3191)(2747,3190)(2748,3189)(2749,3188)(2750,3187)(2751,3186)(2752,3185)(2753,3184)(2754,3183)(2755,3182)(2756,3181)(2757,3180)(2758,3179)(2759,3178)(2760,3177)(2761,3176)(2762,3175)(2763,3174)(2764,3173)(2765,3172)(2766,3171)(2767,3170)(2768,3169)(2769,3168)(2770,3167)(2771,3166)(2772,3165)(2773,3164)(2774,3163)(2775,3162)(2776,3161)(2777,3160)(2778,3159)(2779,3158)(2780,3157)(2781,3156)(2782,3155)(2783,3154)(2784,3153)(2785,3152)(2786,3151)(2787,3150)(2788,3149)(2789,3148)(2790,3147)(2791,3146)(2792,3145)(2793,3144)(2794,3143)(2795,3142)(2796,3141)(2797,3140)(2798,3139)(2799,3138)(2800,3137)(2801,3136)(2802,3135)(2803,3134)(2804,3133)(2805,3132)(2806,3131)(2807,3130)(2808,3129)(2809,3128)(2810,3127)(2811,3126)(2812,3125)(2813,3124)(2814,3123)(2815,3122)(2816,3121)(2817,3120)(2818,3119)(2819,3118)(2820,3117)(2821,3116)(2822,3115)(2823,3114)(2824,3113)(2825,3112)(2826,3111)(2827,3110)(2828,3109)(2829,3108)(2830,3107)(2831,3106)(2832,3105)(2833,3104)(2834,3103)(2835,3102)(2836,3101)(2837,3100)(2838,3099)(2839,3098)(2840,3097)(2841,3096)(2842,3095)(2843,3094)(2844,3093)(2845,3092)(2846,3091)(2847,3090)(2848,3089)(2849,3088)(2850,3087)(2851,3086)(2852,3085)(2853,3084)(2854,3083)(2855,3082)(2856,3081)(2857,3080)(2858,3079)(2859,3078)(2860,3077)(2861,3076)(2862,3075)(2863,3074)(2864,3073)(2865,3072)(2866,3071)(2867,3070)(2868,3069)(2869,3068)(2870,3067)(2871,3066)(2872,3065)(2873,3064)(2874,3063)(2875,3062)(2876,3061)(2877,3060)(2878,3059)(2879,3058)(2880,3057)(2881,3056)(2882,3055)(2883,3054)(2884,3053)(2885,3052)(2886,3051)(2887,3050)(2888,3049)(2889,3048)(2890,3047)(2891,3046)(2892,3045)(2893,3044)(2894,3043)(2895,3042)(2896,3041)(2897,3040)(2898,3039)(2899,3038)(2900,3037)(2901,3036)(2902,3035)(2903,3034)(2904,3033)(2905,3032)(2906,3031)(2907,3030)(2908,3029)(2909,3028)(2910,3027)(2911,3026)(2912,3025)(2913,3024)(2914,3023)(2915,3022)(2916,3021)(2917,3020)(2918,3019)(2919,3018)(2920,3017)(2921,3016)(2922,3015)(2923,3014)(2924,3013)(2925,3012)(2926,3011)(2927,3010)(2928,3009)(2929,3008)(2930,3007)(2931,3006)(2932,3005)(2933,3004)(2934,3003)(2935,3002)(2936,3001)(2937,3000)(2938,2999)(2939,2998)(2940,2997)(2941,2996)(2942,2995)(2943,2994)(2944,2993)(2945,2992)(2946,2991)(2947,2990)(2948,2989)(2949,2988)(2950,2987)(2951,2986)(2952,2985)(2953,2984)(2954,2983)(2955,2982)(2956,2981)(2957,2980)(2958,2979)(2959,2978)(2960,2977)(2961,2976)(2962,2975)(2963,2974)(2964,2973)(2965,2972)(2966,2971)(2967,2970)(2968,2969)Polycyclic presentation:
2^2,5927|a^2=b,c^a=c^59265930 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(23708, 1);