Finite Group DatabasebetaFinite Group Databasebeta| order | 23476 |
| automorphism | ? |
| homology | Abelianization (H1) = C4 · Schur multiplier (H2) = C1 |
| dicyclic | Dic5869 |
| derived, Sylow | C5869 ⋊ C4 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C2 | D5869 |
| commutator, hypocenter | C5869 | C4 |
| Fitting, socle, prime radical, cosocle | C2×C5869 | C2 |
| LCS | G ▷ C5869 | |
| UCS | C1 ◁ C2 | |
6 conjugacy classes of subgroups.
| minimal degree | μ(G) = 5873 |
| transitive degree | μt(G) = 23476 |
A minimal faithful permutation representation — 2 generators on 5873 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);(1,3,2,4)(6,5873)(7,5872)(8,5871)(9,5870)(10,5869)(11,5868)(12,5867)(13,5866)(14,5865)(15,5864)(16,5863)(17,5862)(18,5861)(19,5860)(20,5859)(21,5858)(22,5857)(23,5856)(24,5855)(25,5854)(26,5853)(27,5852)(28,5851)(29,5850)(30,5849)(31,5848)(32,5847)(33,5846)(34,5845)(35,5844)(36,5843)(37,5842)(38,5841)(39,5840)(40,5839)(41,5838)(42,5837)(43,5836)(44,5835)(45,5834)(46,5833)(47,5832)(48,5831)(49,5830)(50,5829)(51,5828)(52,5827)(53,5826)(54,5825)(55,5824)(56,5823)(57,5822)(58,5821)(59,5820)(60,5819)(61,5818)(62,5817)(63,5816)(64,5815)(65,5814)(66,5813)(67,5812)(68,5811)(69,5810)(70,5809)(71,5808)(72,5807)(73,5806)(74,5805)(75,5804)(76,5803)(77,5802)(78,5801)(79,5800)(80,5799)(81,5798)(82,5797)(83,5796)(84,5795)(85,5794)(86,5793)(87,5792)(88,5791)(89,5790)(90,5789)(91,5788)(92,5787)(93,5786)(94,5785)(95,5784)(96,5783)(97,5782)(98,5781)(99,5780)(100,5779)(101,5778)(102,5777)(103,5776)(104,5775)(105,5774)(106,5773)(107,5772)(108,5771)(109,5770)(110,5769)(111,5768)(112,5767)(113,5766)(114,5765)(115,5764)(116,5763)(117,5762)(118,5761)(119,5760)(120,5759)(121,5758)(122,5757)(123,5756)(124,5755)(125,5754)(126,5753)(127,5752)(128,5751)(129,5750)(130,5749)(131,5748)(132,5747)(133,5746)(134,5745)(135,5744)(136,5743)(137,5742)(138,5741)(139,5740)(140,5739)(141,5738)(142,5737)(143,5736)(144,5735)(145,5734)(146,5733)(147,5732)(148,5731)(149,5730)(150,5729)(151,5728)(152,5727)(153,5726)(154,5725)(155,5724)(156,5723)(157,5722)(158,5721)(159,5720)(160,5719)(161,5718)(162,5717)(163,5716)(164,5715)(165,5714)(166,5713)(167,5712)(168,5711)(169,5710)(170,5709)(171,5708)(172,5707)(173,5706)(174,5705)(175,5704)(176,5703)(177,5702)(178,5701)(179,5700)(180,5699)(181,5698)(182,5697)(183,5696)(184,5695)(185,5694)(186,5693)(187,5692)(188,5691)(189,5690)(190,5689)(191,5688)(192,5687)(193,5686)(194,5685)(195,5684)(196,5683)(197,5682)(198,5681)(199,5680)(200,5679)(201,5678)(202,5677)(203,5676)(204,5675)(205,5674)(206,5673)(207,5672)(208,5671)(209,5670)(210,5669)(211,5668)(212,5667)(213,5666)(214,5665)(215,5664)(216,5663)(217,5662)(218,5661)(219,5660)(220,5659)(221,5658)(222,5657)(223,5656)(224,5655)(225,5654)(226,5653)(227,5652)(228,5651)(229,5650)(230,5649)(231,5648)(232,5647)(233,5646)(234,5645)(235,5644)(236,5643)(237,5642)(238,5641)(239,5640)(240,5639)(241,5638)(242,5637)(243,5636)(244,5635)(245,5634)(246,5633)(247,5632)(248,5631)(249,5630)(250,5629)(251,5628)(252,5627)(253,5626)(254,5625)(255,5624)(256,5623)(257,5622)(258,5621)(259,5620)(260,5619)(261,5618)(262,5617)(263,5616)(264,5615)(265,5614)(266,5613)(267,5612)(268,5611)(269,5610)(270,5609)(271,5608)(272,5607)(273,5606)(274,5605)(275,5604)(276,5603)(277,5602)(278,5601)(279,5600)(280,5599)(281,5598)(282,5597)(283,5596)(284,5595)(285,5594)(286,5593)(287,5592)(288,5591)(289,5590)(290,5589)(291,5588)(292,5587)(293,5586)(294,5585)(295,5584)(296,5583)(297,5582)(298,5581)(299,5580)(300,5579)(301,5578)(302,5577)(303,5576)(304,5575)(305,5574)(306,5573)(307,5572)(308,5571)(309,5570)(310,5569)(311,5568)(312,5567)(313,5566)(314,5565)(315,5564)(316,5563)(317,5562)(318,5561)(319,5560)(320,5559)(321,5558)(322,5557)(323,5556)(324,5555)(325,5554)(326,5553)(327,5552)(328,5551)(329,5550)(330,5549)(331,5548)(332,5547)(333,5546)(334,5545)(335,5544)(336,5543)(337,5542)(338,5541)(339,5540)(340,5539)(341,5538)(342,5537)(343,5536)(344,5535)(345,5534)(346,5533)(347,5532)(348,5531)(349,5530)(350,5529)(351,5528)(352,5527)(353,5526)(354,5525)(355,5524)(356,5523)(357,5522)(358,5521)(359,5520)(360,5519)(361,5518)(362,5517)(363,5516)(364,5515)(365,5514)(366,5513)(367,5512)(368,5511)(369,5510)(370,5509)(371,5508)(372,5507)(373,5506)(374,5505)(375,5504)(376,5503)(377,5502)(378,5501)(379,5500)(380,5499)(381,5498)(382,5497)(383,5496)(384,5495)(385,5494)(386,5493)(387,5492)(388,5491)(389,5490)(390,5489)(391,5488)(392,5487)(393,5486)(394,5485)(395,5484)(396,5483)(397,5482)(398,5481)(399,5480)(400,5479)(401,5478)(402,5477)(403,5476)(404,5475)(405,5474)(406,5473)(407,5472)(408,5471)(409,5470)(410,5469)(411,5468)(412,5467)(413,5466)(414,5465)(415,5464)(416,5463)(417,5462)(418,5461)(419,5460)(420,5459)(421,5458)(422,5457)(423,5456)(424,5455)(425,5454)(426,5453)(427,5452)(428,5451)(429,5450)(430,5449)(431,5448)(432,5447)(433,5446)(434,5445)(435,5444)(436,5443)(437,5442)(438,5441)(439,5440)(440,5439)(441,5438)(442,5437)(443,5436)(444,5435)(445,5434)(446,5433)(447,5432)(448,5431)(449,5430)(450,5429)(451,5428)(452,5427)(453,5426)(454,5425)(455,5424)(456,5423)(457,5422)(458,5421)(459,5420)(460,5419)(461,5418)(462,5417)(463,5416)(464,5415)(465,5414)(466,5413)(467,5412)(468,5411)(469,5410)(470,5409)(471,5408)(472,5407)(473,5406)(474,5405)(475,5404)(476,5403)(477,5402)(478,5401)(479,5400)(480,5399)(481,5398)(482,5397)(483,5396)(484,5395)(485,5394)(486,5393)(487,5392)(488,5391)(489,5390)(490,5389)(491,5388)(492,5387)(493,5386)(494,5385)(495,5384)(496,5383)(497,5382)(498,5381)(499,5380)(500,5379)(501,5378)(502,5377)(503,5376)(504,5375)(505,5374)(506,5373)(507,5372)(508,5371)(509,5370)(510,5369)(511,5368)(512,5367)(513,5366)(514,5365)(515,5364)(516,5363)(517,5362)(518,5361)(519,5360)(520,5359)(521,5358)(522,5357)(523,5356)(524,5355)(525,5354)(526,5353)(527,5352)(528,5351)(529,5350)(530,5349)(531,5348)(532,5347)(533,5346)(534,5345)(535,5344)(536,5343)(537,5342)(538,5341)(539,5340)(540,5339)(541,5338)(542,5337)(543,5336)(544,5335)(545,5334)(546,5333)(547,5332)(548,5331)(549,5330)(550,5329)(551,5328)(552,5327)(553,5326)(554,5325)(555,5324)(556,5323)(557,5322)(558,5321)(559,5320)(560,5319)(561,5318)(562,5317)(563,5316)(564,5315)(565,5314)(566,5313)(567,5312)(568,5311)(569,5310)(570,5309)(571,5308)(572,5307)(573,5306)(574,5305)(575,5304)(576,5303)(577,5302)(578,5301)(579,5300)(580,5299)(581,5298)(582,5297)(583,5296)(584,5295)(585,5294)(586,5293)(587,5292)(588,5291)(589,5290)(590,5289)(591,5288)(592,5287)(593,5286)(594,5285)(595,5284)(596,5283)(597,5282)(598,5281)(599,5280)(600,5279)(601,5278)(602,5277)(603,5276)(604,5275)(605,5274)(606,5273)(607,5272)(608,5271)(609,5270)(610,5269)(611,5268)(612,5267)(613,5266)(614,5265)(615,5264)(616,5263)(617,5262)(618,5261)(619,5260)(620,5259)(621,5258)(622,5257)(623,5256)(624,5255)(625,5254)(626,5253)(627,5252)(628,5251)(629,5250)(630,5249)(631,5248)(632,5247)(633,5246)(634,5245)(635,5244)(636,5243)(637,5242)(638,5241)(639,5240)(640,5239)(641,5238)(642,5237)(643,5236)(644,5235)(645,5234)(646,5233)(647,5232)(648,5231)(649,5230)(650,5229)(651,5228)(652,5227)(653,5226)(654,5225)(655,5224)(656,5223)(657,5222)(658,5221)(659,5220)(660,5219)(661,5218)(662,5217)(663,5216)(664,5215)(665,5214)(666,5213)(667,5212)(668,5211)(669,5210)(670,5209)(671,5208)(672,5207)(673,5206)(674,5205)(675,5204)(676,5203)(677,5202)(678,5201)(679,5200)(680,5199)(681,5198)(682,5197)(683,5196)(684,5195)(685,5194)(686,5193)(687,5192)(688,5191)(689,5190)(690,5189)(691,5188)(692,5187)(693,5186)(694,5185)(695,5184)(696,5183)(697,5182)(698,5181)(699,5180)(700,5179)(701,5178)(702,5177)(703,5176)(704,5175)(705,5174)(706,5173)(707,5172)(708,5171)(709,5170)(710,5169)(711,5168)(712,5167)(713,5166)(714,5165)(715,5164)(716,5163)(717,5162)(718,5161)(719,5160)(720,5159)(721,5158)(722,5157)(723,5156)(724,5155)(725,5154)(726,5153)(727,5152)(728,5151)(729,5150)(730,5149)(731,5148)(732,5147)(733,5146)(734,5145)(735,5144)(736,5143)(737,5142)(738,5141)(739,5140)(740,5139)(741,5138)(742,5137)(743,5136)(744,5135)(745,5134)(746,5133)(747,5132)(748,5131)(749,5130)(750,5129)(751,5128)(752,5127)(753,5126)(754,5125)(755,5124)(756,5123)(757,5122)(758,5121)(759,5120)(760,5119)(761,5118)(762,5117)(763,5116)(764,5115)(765,5114)(766,5113)(767,5112)(768,5111)(769,5110)(770,5109)(771,5108)(772,5107)(773,5106)(774,5105)(775,5104)(776,5103)(777,5102)(778,5101)(779,5100)(780,5099)(781,5098)(782,5097)(783,5096)(784,5095)(785,5094)(786,5093)(787,5092)(788,5091)(789,5090)(790,5089)(791,5088)(792,5087)(793,5086)(794,5085)(795,5084)(796,5083)(797,5082)(798,5081)(799,5080)(800,5079)(801,5078)(802,5077)(803,5076)(804,5075)(805,5074)(806,5073)(807,5072)(808,5071)(809,5070)(810,5069)(811,5068)(812,5067)(813,5066)(814,5065)(815,5064)(816,5063)(817,5062)(818,5061)(819,5060)(820,5059)(821,5058)(822,5057)(823,5056)(824,5055)(825,5054)(826,5053)(827,5052)(828,5051)(829,5050)(830,5049)(831,5048)(832,5047)(833,5046)(834,5045)(835,5044)(836,5043)(837,5042)(838,5041)(839,5040)(840,5039)(841,5038)(842,5037)(843,5036)(844,5035)(845,5034)(846,5033)(847,5032)(848,5031)(849,5030)(850,5029)(851,5028)(852,5027)(853,5026)(854,5025)(855,5024)(856,5023)(857,5022)(858,5021)(859,5020)(860,5019)(861,5018)(862,5017)(863,5016)(864,5015)(865,5014)(866,5013)(867,5012)(868,5011)(869,5010)(870,5009)(871,5008)(872,5007)(873,5006)(874,5005)(875,5004)(876,5003)(877,5002)(878,5001)(879,5000)(880,4999)(881,4998)(882,4997)(883,4996)(884,4995)(885,4994)(886,4993)(887,4992)(888,4991)(889,4990)(890,4989)(891,4988)(892,4987)(893,4986)(894,4985)(895,4984)(896,4983)(897,4982)(898,4981)(899,4980)(900,4979)(901,4978)(902,4977)(903,4976)(904,4975)(905,4974)(906,4973)(907,4972)(908,4971)(909,4970)(910,4969)(911,4968)(912,4967)(913,4966)(914,4965)(915,4964)(916,4963)(917,4962)(918,4961)(919,4960)(920,4959)(921,4958)(922,4957)(923,4956)(924,4955)(925,4954)(926,4953)(927,4952)(928,4951)(929,4950)(930,4949)(931,4948)(932,4947)(933,4946)(934,4945)(935,4944)(936,4943)(937,4942)(938,4941)(939,4940)(940,4939)(941,4938)(942,4937)(943,4936)(944,4935)(945,4934)(946,4933)(947,4932)(948,4931)(949,4930)(950,4929)(951,4928)(952,4927)(953,4926)(954,4925)(955,4924)(956,4923)(957,4922)(958,4921)(959,4920)(960,4919)(961,4918)(962,4917)(963,4916)(964,4915)(965,4914)(966,4913)(967,4912)(968,4911)(969,4910)(970,4909)(971,4908)(972,4907)(973,4906)(974,4905)(975,4904)(976,4903)(977,4902)(978,4901)(979,4900)(980,4899)(981,4898)(982,4897)(983,4896)(984,4895)(985,4894)(986,4893)(987,4892)(988,4891)(989,4890)(990,4889)(991,4888)(992,4887)(993,4886)(994,4885)(995,4884)(996,4883)(997,4882)(998,4881)(999,4880)(1000,4879)(1001,4878)(1002,4877)(1003,4876)(1004,4875)(1005,4874)(1006,4873)(1007,4872)(1008,4871)(1009,4870)(1010,4869)(1011,4868)(1012,4867)(1013,4866)(1014,4865)(1015,4864)(1016,4863)(1017,4862)(1018,4861)(1019,4860)(1020,4859)(1021,4858)(1022,4857)(1023,4856)(1024,4855)(1025,4854)(1026,4853)(1027,4852)(1028,4851)(1029,4850)(1030,4849)(1031,4848)(1032,4847)(1033,4846)(1034,4845)(1035,4844)(1036,4843)(1037,4842)(1038,4841)(1039,4840)(1040,4839)(1041,4838)(1042,4837)(1043,4836)(1044,4835)(1045,4834)(1046,4833)(1047,4832)(1048,4831)(1049,4830)(1050,4829)(1051,4828)(1052,4827)(1053,4826)(1054,4825)(1055,4824)(1056,4823)(1057,4822)(1058,4821)(1059,4820)(1060,4819)(1061,4818)(1062,4817)(1063,4816)(1064,4815)(1065,4814)(1066,4813)(1067,4812)(1068,4811)(1069,4810)(1070,4809)(1071,4808)(1072,4807)(1073,4806)(1074,4805)(1075,4804)(1076,4803)(1077,4802)(1078,4801)(1079,4800)(1080,4799)(1081,4798)(1082,4797)(1083,4796)(1084,4795)(1085,4794)(1086,4793)(1087,4792)(1088,4791)(1089,4790)(1090,4789)(1091,4788)(1092,4787)(1093,4786)(1094,4785)(1095,4784)(1096,4783)(1097,4782)(1098,4781)(1099,4780)(1100,4779)(1101,4778)(1102,4777)(1103,4776)(1104,4775)(1105,4774)(1106,4773)(1107,4772)(1108,4771)(1109,4770)(1110,4769)(1111,4768)(1112,4767)(1113,4766)(1114,4765)(1115,4764)(1116,4763)(1117,4762)(1118,4761)(1119,4760)(1120,4759)(1121,4758)(1122,4757)(1123,4756)(1124,4755)(1125,4754)(1126,4753)(1127,4752)(1128,4751)(1129,4750)(1130,4749)(1131,4748)(1132,4747)(1133,4746)(1134,4745)(1135,4744)(1136,4743)(1137,4742)(1138,4741)(1139,4740)(1140,4739)(1141,4738)(1142,4737)(1143,4736)(1144,4735)(1145,4734)(1146,4733)(1147,4732)(1148,4731)(1149,4730)(1150,4729)(1151,4728)(1152,4727)(1153,4726)(1154,4725)(1155,4724)(1156,4723)(1157,4722)(1158,4721)(1159,4720)(1160,4719)(1161,4718)(1162,4717)(1163,4716)(1164,4715)(1165,4714)(1166,4713)(1167,4712)(1168,4711)(1169,4710)(1170,4709)(1171,4708)(1172,4707)(1173,4706)(1174,4705)(1175,4704)(1176,4703)(1177,4702)(1178,4701)(1179,4700)(1180,4699)(1181,4698)(1182,4697)(1183,4696)(1184,4695)(1185,4694)(1186,4693)(1187,4692)(1188,4691)(1189,4690)(1190,4689)(1191,4688)(1192,4687)(1193,4686)(1194,4685)(1195,4684)(1196,4683)(1197,4682)(1198,4681)(1199,4680)(1200,4679)(1201,4678)(1202,4677)(1203,4676)(1204,4675)(1205,4674)(1206,4673)(1207,4672)(1208,4671)(1209,4670)(1210,4669)(1211,4668)(1212,4667)(1213,4666)(1214,4665)(1215,4664)(1216,4663)(1217,4662)(1218,4661)(1219,4660)(1220,4659)(1221,4658)(1222,4657)(1223,4656)(1224,4655)(1225,4654)(1226,4653)(1227,4652)(1228,4651)(1229,4650)(1230,4649)(1231,4648)(1232,4647)(1233,4646)(1234,4645)(1235,4644)(1236,4643)(1237,4642)(1238,4641)(1239,4640)(1240,4639)(1241,4638)(1242,4637)(1243,4636)(1244,4635)(1245,4634)(1246,4633)(1247,4632)(1248,4631)(1249,4630)(1250,4629)(1251,4628)(1252,4627)(1253,4626)(1254,4625)(1255,4624)(1256,4623)(1257,4622)(1258,4621)(1259,4620)(1260,4619)(1261,4618)(1262,4617)(1263,4616)(1264,4615)(1265,4614)(1266,4613)(1267,4612)(1268,4611)(1269,4610)(1270,4609)(1271,4608)(1272,4607)(1273,4606)(1274,4605)(1275,4604)(1276,4603)(1277,4602)(1278,4601)(1279,4600)(1280,4599)(1281,4598)(1282,4597)(1283,4596)(1284,4595)(1285,4594)(1286,4593)(1287,4592)(1288,4591)(1289,4590)(1290,4589)(1291,4588)(1292,4587)(1293,4586)(1294,4585)(1295,4584)(1296,4583)(1297,4582)(1298,4581)(1299,4580)(1300,4579)(1301,4578)(1302,4577)(1303,4576)(1304,4575)(1305,4574)(1306,4573)(1307,4572)(1308,4571)(1309,4570)(1310,4569)(1311,4568)(1312,4567)(1313,4566)(1314,4565)(1315,4564)(1316,4563)(1317,4562)(1318,4561)(1319,4560)(1320,4559)(1321,4558)(1322,4557)(1323,4556)(1324,4555)(1325,4554)(1326,4553)(1327,4552)(1328,4551)(1329,4550)(1330,4549)(1331,4548)(1332,4547)(1333,4546)(1334,4545)(1335,4544)(1336,4543)(1337,4542)(1338,4541)(1339,4540)(1340,4539)(1341,4538)(1342,4537)(1343,4536)(1344,4535)(1345,4534)(1346,4533)(1347,4532)(1348,4531)(1349,4530)(1350,4529)(1351,4528)(1352,4527)(1353,4526)(1354,4525)(1355,4524)(1356,4523)(1357,4522)(1358,4521)(1359,4520)(1360,4519)(1361,4518)(1362,4517)(1363,4516)(1364,4515)(1365,4514)(1366,4513)(1367,4512)(1368,4511)(1369,4510)(1370,4509)(1371,4508)(1372,4507)(1373,4506)(1374,4505)(1375,4504)(1376,4503)(1377,4502)(1378,4501)(1379,4500)(1380,4499)(1381,4498)(1382,4497)(1383,4496)(1384,4495)(1385,4494)(1386,4493)(1387,4492)(1388,4491)(1389,4490)(1390,4489)(1391,4488)(1392,4487)(1393,4486)(1394,4485)(1395,4484)(1396,4483)(1397,4482)(1398,4481)(1399,4480)(1400,4479)(1401,4478)(1402,4477)(1403,4476)(1404,4475)(1405,4474)(1406,4473)(1407,4472)(1408,4471)(1409,4470)(1410,4469)(1411,4468)(1412,4467)(1413,4466)(1414,4465)(1415,4464)(1416,4463)(1417,4462)(1418,4461)(1419,4460)(1420,4459)(1421,4458)(1422,4457)(1423,4456)(1424,4455)(1425,4454)(1426,4453)(1427,4452)(1428,4451)(1429,4450)(1430,4449)(1431,4448)(1432,4447)(1433,4446)(1434,4445)(1435,4444)(1436,4443)(1437,4442)(1438,4441)(1439,4440)(1440,4439)(1441,4438)(1442,4437)(1443,4436)(1444,4435)(1445,4434)(1446,4433)(1447,4432)(1448,4431)(1449,4430)(1450,4429)(1451,4428)(1452,4427)(1453,4426)(1454,4425)(1455,4424)(1456,4423)(1457,4422)(1458,4421)(1459,4420)(1460,4419)(1461,4418)(1462,4417)(1463,4416)(1464,4415)(1465,4414)(1466,4413)(1467,4412)(1468,4411)(1469,4410)(1470,4409)(1471,4408)(1472,4407)(1473,4406)(1474,4405)(1475,4404)(1476,4403)(1477,4402)(1478,4401)(1479,4400)(1480,4399)(1481,4398)(1482,4397)(1483,4396)(1484,4395)(1485,4394)(1486,4393)(1487,4392)(1488,4391)(1489,4390)(1490,4389)(1491,4388)(1492,4387)(1493,4386)(1494,4385)(1495,4384)(1496,4383)(1497,4382)(1498,4381)(1499,4380)(1500,4379)(1501,4378)(1502,4377)(1503,4376)(1504,4375)(1505,4374)(1506,4373)(1507,4372)(1508,4371)(1509,4370)(1510,4369)(1511,4368)(1512,4367)(1513,4366)(1514,4365)(1515,4364)(1516,4363)(1517,4362)(1518,4361)(1519,4360)(1520,4359)(1521,4358)(1522,4357)(1523,4356)(1524,4355)(1525,4354)(1526,4353)(1527,4352)(1528,4351)(1529,4350)(1530,4349)(1531,4348)(1532,4347)(1533,4346)(1534,4345)(1535,4344)(1536,4343)(1537,4342)(1538,4341)(1539,4340)(1540,4339)(1541,4338)(1542,4337)(1543,4336)(1544,4335)(1545,4334)(1546,4333)(1547,4332)(1548,4331)(1549,4330)(1550,4329)(1551,4328)(1552,4327)(1553,4326)(1554,4325)(1555,4324)(1556,4323)(1557,4322)(1558,4321)(1559,4320)(1560,4319)(1561,4318)(1562,4317)(1563,4316)(1564,4315)(1565,4314)(1566,4313)(1567,4312)(1568,4311)(1569,4310)(1570,4309)(1571,4308)(1572,4307)(1573,4306)(1574,4305)(1575,4304)(1576,4303)(1577,4302)(1578,4301)(1579,4300)(1580,4299)(1581,4298)(1582,4297)(1583,4296)(1584,4295)(1585,4294)(1586,4293)(1587,4292)(1588,4291)(1589,4290)(1590,4289)(1591,4288)(1592,4287)(1593,4286)(1594,4285)(1595,4284)(1596,4283)(1597,4282)(1598,4281)(1599,4280)(1600,4279)(1601,4278)(1602,4277)(1603,4276)(1604,4275)(1605,4274)(1606,4273)(1607,4272)(1608,4271)(1609,4270)(1610,4269)(1611,4268)(1612,4267)(1613,4266)(1614,4265)(1615,4264)(1616,4263)(1617,4262)(1618,4261)(1619,4260)(1620,4259)(1621,4258)(1622,4257)(1623,4256)(1624,4255)(1625,4254)(1626,4253)(1627,4252)(1628,4251)(1629,4250)(1630,4249)(1631,4248)(1632,4247)(1633,4246)(1634,4245)(1635,4244)(1636,4243)(1637,4242)(1638,4241)(1639,4240)(1640,4239)(1641,4238)(1642,4237)(1643,4236)(1644,4235)(1645,4234)(1646,4233)(1647,4232)(1648,4231)(1649,4230)(1650,4229)(1651,4228)(1652,4227)(1653,4226)(1654,4225)(1655,4224)(1656,4223)(1657,4222)(1658,4221)(1659,4220)(1660,4219)(1661,4218)(1662,4217)(1663,4216)(1664,4215)(1665,4214)(1666,4213)(1667,4212)(1668,4211)(1669,4210)(1670,4209)(1671,4208)(1672,4207)(1673,4206)(1674,4205)(1675,4204)(1676,4203)(1677,4202)(1678,4201)(1679,4200)(1680,4199)(1681,4198)(1682,4197)(1683,4196)(1684,4195)(1685,4194)(1686,4193)(1687,4192)(1688,4191)(1689,4190)(1690,4189)(1691,4188)(1692,4187)(1693,4186)(1694,4185)(1695,4184)(1696,4183)(1697,4182)(1698,4181)(1699,4180)(1700,4179)(1701,4178)(1702,4177)(1703,4176)(1704,4175)(1705,4174)(1706,4173)(1707,4172)(1708,4171)(1709,4170)(1710,4169)(1711,4168)(1712,4167)(1713,4166)(1714,4165)(1715,4164)(1716,4163)(1717,4162)(1718,4161)(1719,4160)(1720,4159)(1721,4158)(1722,4157)(1723,4156)(1724,4155)(1725,4154)(1726,4153)(1727,4152)(1728,4151)(1729,4150)(1730,4149)(1731,4148)(1732,4147)(1733,4146)(1734,4145)(1735,4144)(1736,4143)(1737,4142)(1738,4141)(1739,4140)(1740,4139)(1741,4138)(1742,4137)(1743,4136)(1744,4135)(1745,4134)(1746,4133)(1747,4132)(1748,4131)(1749,4130)(1750,4129)(1751,4128)(1752,4127)(1753,4126)(1754,4125)(1755,4124)(1756,4123)(1757,4122)(1758,4121)(1759,4120)(1760,4119)(1761,4118)(1762,4117)(1763,4116)(1764,4115)(1765,4114)(1766,4113)(1767,4112)(1768,4111)(1769,4110)(1770,4109)(1771,4108)(1772,4107)(1773,4106)(1774,4105)(1775,4104)(1776,4103)(1777,4102)(1778,4101)(1779,4100)(1780,4099)(1781,4098)(1782,4097)(1783,4096)(1784,4095)(1785,4094)(1786,4093)(1787,4092)(1788,4091)(1789,4090)(1790,4089)(1791,4088)(1792,4087)(1793,4086)(1794,4085)(1795,4084)(1796,4083)(1797,4082)(1798,4081)(1799,4080)(1800,4079)(1801,4078)(1802,4077)(1803,4076)(1804,4075)(1805,4074)(1806,4073)(1807,4072)(1808,4071)(1809,4070)(1810,4069)(1811,4068)(1812,4067)(1813,4066)(1814,4065)(1815,4064)(1816,4063)(1817,4062)(1818,4061)(1819,4060)(1820,4059)(1821,4058)(1822,4057)(1823,4056)(1824,4055)(1825,4054)(1826,4053)(1827,4052)(1828,4051)(1829,4050)(1830,4049)(1831,4048)(1832,4047)(1833,4046)(1834,4045)(1835,4044)(1836,4043)(1837,4042)(1838,4041)(1839,4040)(1840,4039)(1841,4038)(1842,4037)(1843,4036)(1844,4035)(1845,4034)(1846,4033)(1847,4032)(1848,4031)(1849,4030)(1850,4029)(1851,4028)(1852,4027)(1853,4026)(1854,4025)(1855,4024)(1856,4023)(1857,4022)(1858,4021)(1859,4020)(1860,4019)(1861,4018)(1862,4017)(1863,4016)(1864,4015)(1865,4014)(1866,4013)(1867,4012)(1868,4011)(1869,4010)(1870,4009)(1871,4008)(1872,4007)(1873,4006)(1874,4005)(1875,4004)(1876,4003)(1877,4002)(1878,4001)(1879,4000)(1880,3999)(1881,3998)(1882,3997)(1883,3996)(1884,3995)(1885,3994)(1886,3993)(1887,3992)(1888,3991)(1889,3990)(1890,3989)(1891,3988)(1892,3987)(1893,3986)(1894,3985)(1895,3984)(1896,3983)(1897,3982)(1898,3981)(1899,3980)(1900,3979)(1901,3978)(1902,3977)(1903,3976)(1904,3975)(1905,3974)(1906,3973)(1907,3972)(1908,3971)(1909,3970)(1910,3969)(1911,3968)(1912,3967)(1913,3966)(1914,3965)(1915,3964)(1916,3963)(1917,3962)(1918,3961)(1919,3960)(1920,3959)(1921,3958)(1922,3957)(1923,3956)(1924,3955)(1925,3954)(1926,3953)(1927,3952)(1928,3951)(1929,3950)(1930,3949)(1931,3948)(1932,3947)(1933,3946)(1934,3945)(1935,3944)(1936,3943)(1937,3942)(1938,3941)(1939,3940)(1940,3939)(1941,3938)(1942,3937)(1943,3936)(1944,3935)(1945,3934)(1946,3933)(1947,3932)(1948,3931)(1949,3930)(1950,3929)(1951,3928)(1952,3927)(1953,3926)(1954,3925)(1955,3924)(1956,3923)(1957,3922)(1958,3921)(1959,3920)(1960,3919)(1961,3918)(1962,3917)(1963,3916)(1964,3915)(1965,3914)(1966,3913)(1967,3912)(1968,3911)(1969,3910)(1970,3909)(1971,3908)(1972,3907)(1973,3906)(1974,3905)(1975,3904)(1976,3903)(1977,3902)(1978,3901)(1979,3900)(1980,3899)(1981,3898)(1982,3897)(1983,3896)(1984,3895)(1985,3894)(1986,3893)(1987,3892)(1988,3891)(1989,3890)(1990,3889)(1991,3888)(1992,3887)(1993,3886)(1994,3885)(1995,3884)(1996,3883)(1997,3882)(1998,3881)(1999,3880)(2000,3879)(2001,3878)(2002,3877)(2003,3876)(2004,3875)(2005,3874)(2006,3873)(2007,3872)(2008,3871)(2009,3870)(2010,3869)(2011,3868)(2012,3867)(2013,3866)(2014,3865)(2015,3864)(2016,3863)(2017,3862)(2018,3861)(2019,3860)(2020,3859)(2021,3858)(2022,3857)(2023,3856)(2024,3855)(2025,3854)(2026,3853)(2027,3852)(2028,3851)(2029,3850)(2030,3849)(2031,3848)(2032,3847)(2033,3846)(2034,3845)(2035,3844)(2036,3843)(2037,3842)(2038,3841)(2039,3840)(2040,3839)(2041,3838)(2042,3837)(2043,3836)(2044,3835)(2045,3834)(2046,3833)(2047,3832)(2048,3831)(2049,3830)(2050,3829)(2051,3828)(2052,3827)(2053,3826)(2054,3825)(2055,3824)(2056,3823)(2057,3822)(2058,3821)(2059,3820)(2060,3819)(2061,3818)(2062,3817)(2063,3816)(2064,3815)(2065,3814)(2066,3813)(2067,3812)(2068,3811)(2069,3810)(2070,3809)(2071,3808)(2072,3807)(2073,3806)(2074,3805)(2075,3804)(2076,3803)(2077,3802)(2078,3801)(2079,3800)(2080,3799)(2081,3798)(2082,3797)(2083,3796)(2084,3795)(2085,3794)(2086,3793)(2087,3792)(2088,3791)(2089,3790)(2090,3789)(2091,3788)(2092,3787)(2093,3786)(2094,3785)(2095,3784)(2096,3783)(2097,3782)(2098,3781)(2099,3780)(2100,3779)(2101,3778)(2102,3777)(2103,3776)(2104,3775)(2105,3774)(2106,3773)(2107,3772)(2108,3771)(2109,3770)(2110,3769)(2111,3768)(2112,3767)(2113,3766)(2114,3765)(2115,3764)(2116,3763)(2117,3762)(2118,3761)(2119,3760)(2120,3759)(2121,3758)(2122,3757)(2123,3756)(2124,3755)(2125,3754)(2126,3753)(2127,3752)(2128,3751)(2129,3750)(2130,3749)(2131,3748)(2132,3747)(2133,3746)(2134,3745)(2135,3744)(2136,3743)(2137,3742)(2138,3741)(2139,3740)(2140,3739)(2141,3738)(2142,3737)(2143,3736)(2144,3735)(2145,3734)(2146,3733)(2147,3732)(2148,3731)(2149,3730)(2150,3729)(2151,3728)(2152,3727)(2153,3726)(2154,3725)(2155,3724)(2156,3723)(2157,3722)(2158,3721)(2159,3720)(2160,3719)(2161,3718)(2162,3717)(2163,3716)(2164,3715)(2165,3714)(2166,3713)(2167,3712)(2168,3711)(2169,3710)(2170,3709)(2171,3708)(2172,3707)(2173,3706)(2174,3705)(2175,3704)(2176,3703)(2177,3702)(2178,3701)(2179,3700)(2180,3699)(2181,3698)(2182,3697)(2183,3696)(2184,3695)(2185,3694)(2186,3693)(2187,3692)(2188,3691)(2189,3690)(2190,3689)(2191,3688)(2192,3687)(2193,3686)(2194,3685)(2195,3684)(2196,3683)(2197,3682)(2198,3681)(2199,3680)(2200,3679)(2201,3678)(2202,3677)(2203,3676)(2204,3675)(2205,3674)(2206,3673)(2207,3672)(2208,3671)(2209,3670)(2210,3669)(2211,3668)(2212,3667)(2213,3666)(2214,3665)(2215,3664)(2216,3663)(2217,3662)(2218,3661)(2219,3660)(2220,3659)(2221,3658)(2222,3657)(2223,3656)(2224,3655)(2225,3654)(2226,3653)(2227,3652)(2228,3651)(2229,3650)(2230,3649)(2231,3648)(2232,3647)(2233,3646)(2234,3645)(2235,3644)(2236,3643)(2237,3642)(2238,3641)(2239,3640)(2240,3639)(2241,3638)(2242,3637)(2243,3636)(2244,3635)(2245,3634)(2246,3633)(2247,3632)(2248,3631)(2249,3630)(2250,3629)(2251,3628)(2252,3627)(2253,3626)(2254,3625)(2255,3624)(2256,3623)(2257,3622)(2258,3621)(2259,3620)(2260,3619)(2261,3618)(2262,3617)(2263,3616)(2264,3615)(2265,3614)(2266,3613)(2267,3612)(2268,3611)(2269,3610)(2270,3609)(2271,3608)(2272,3607)(2273,3606)(2274,3605)(2275,3604)(2276,3603)(2277,3602)(2278,3601)(2279,3600)(2280,3599)(2281,3598)(2282,3597)(2283,3596)(2284,3595)(2285,3594)(2286,3593)(2287,3592)(2288,3591)(2289,3590)(2290,3589)(2291,3588)(2292,3587)(2293,3586)(2294,3585)(2295,3584)(2296,3583)(2297,3582)(2298,3581)(2299,3580)(2300,3579)(2301,3578)(2302,3577)(2303,3576)(2304,3575)(2305,3574)(2306,3573)(2307,3572)(2308,3571)(2309,3570)(2310,3569)(2311,3568)(2312,3567)(2313,3566)(2314,3565)(2315,3564)(2316,3563)(2317,3562)(2318,3561)(2319,3560)(2320,3559)(2321,3558)(2322,3557)(2323,3556)(2324,3555)(2325,3554)(2326,3553)(2327,3552)(2328,3551)(2329,3550)(2330,3549)(2331,3548)(2332,3547)(2333,3546)(2334,3545)(2335,3544)(2336,3543)(2337,3542)(2338,3541)(2339,3540)(2340,3539)(2341,3538)(2342,3537)(2343,3536)(2344,3535)(2345,3534)(2346,3533)(2347,3532)(2348,3531)(2349,3530)(2350,3529)(2351,3528)(2352,3527)(2353,3526)(2354,3525)(2355,3524)(2356,3523)(2357,3522)(2358,3521)(2359,3520)(2360,3519)(2361,3518)(2362,3517)(2363,3516)(2364,3515)(2365,3514)(2366,3513)(2367,3512)(2368,3511)(2369,3510)(2370,3509)(2371,3508)(2372,3507)(2373,3506)(2374,3505)(2375,3504)(2376,3503)(2377,3502)(2378,3501)(2379,3500)(2380,3499)(2381,3498)(2382,3497)(2383,3496)(2384,3495)(2385,3494)(2386,3493)(2387,3492)(2388,3491)(2389,3490)(2390,3489)(2391,3488)(2392,3487)(2393,3486)(2394,3485)(2395,3484)(2396,3483)(2397,3482)(2398,3481)(2399,3480)(2400,3479)(2401,3478)(2402,3477)(2403,3476)(2404,3475)(2405,3474)(2406,3473)(2407,3472)(2408,3471)(2409,3470)(2410,3469)(2411,3468)(2412,3467)(2413,3466)(2414,3465)(2415,3464)(2416,3463)(2417,3462)(2418,3461)(2419,3460)(2420,3459)(2421,3458)(2422,3457)(2423,3456)(2424,3455)(2425,3454)(2426,3453)(2427,3452)(2428,3451)(2429,3450)(2430,3449)(2431,3448)(2432,3447)(2433,3446)(2434,3445)(2435,3444)(2436,3443)(2437,3442)(2438,3441)(2439,3440)(2440,3439)(2441,3438)(2442,3437)(2443,3436)(2444,3435)(2445,3434)(2446,3433)(2447,3432)(2448,3431)(2449,3430)(2450,3429)(2451,3428)(2452,3427)(2453,3426)(2454,3425)(2455,3424)(2456,3423)(2457,3422)(2458,3421)(2459,3420)(2460,3419)(2461,3418)(2462,3417)(2463,3416)(2464,3415)(2465,3414)(2466,3413)(2467,3412)(2468,3411)(2469,3410)(2470,3409)(2471,3408)(2472,3407)(2473,3406)(2474,3405)(2475,3404)(2476,3403)(2477,3402)(2478,3401)(2479,3400)(2480,3399)(2481,3398)(2482,3397)(2483,3396)(2484,3395)(2485,3394)(2486,3393)(2487,3392)(2488,3391)(2489,3390)(2490,3389)(2491,3388)(2492,3387)(2493,3386)(2494,3385)(2495,3384)(2496,3383)(2497,3382)(2498,3381)(2499,3380)(2500,3379)(2501,3378)(2502,3377)(2503,3376)(2504,3375)(2505,3374)(2506,3373)(2507,3372)(2508,3371)(2509,3370)(2510,3369)(2511,3368)(2512,3367)(2513,3366)(2514,3365)(2515,3364)(2516,3363)(2517,3362)(2518,3361)(2519,3360)(2520,3359)(2521,3358)(2522,3357)(2523,3356)(2524,3355)(2525,3354)(2526,3353)(2527,3352)(2528,3351)(2529,3350)(2530,3349)(2531,3348)(2532,3347)(2533,3346)(2534,3345)(2535,3344)(2536,3343)(2537,3342)(2538,3341)(2539,3340)(2540,3339)(2541,3338)(2542,3337)(2543,3336)(2544,3335)(2545,3334)(2546,3333)(2547,3332)(2548,3331)(2549,3330)(2550,3329)(2551,3328)(2552,3327)(2553,3326)(2554,3325)(2555,3324)(2556,3323)(2557,3322)(2558,3321)(2559,3320)(2560,3319)(2561,3318)(2562,3317)(2563,3316)(2564,3315)(2565,3314)(2566,3313)(2567,3312)(2568,3311)(2569,3310)(2570,3309)(2571,3308)(2572,3307)(2573,3306)(2574,3305)(2575,3304)(2576,3303)(2577,3302)(2578,3301)(2579,3300)(2580,3299)(2581,3298)(2582,3297)(2583,3296)(2584,3295)(2585,3294)(2586,3293)(2587,3292)(2588,3291)(2589,3290)(2590,3289)(2591,3288)(2592,3287)(2593,3286)(2594,3285)(2595,3284)(2596,3283)(2597,3282)(2598,3281)(2599,3280)(2600,3279)(2601,3278)(2602,3277)(2603,3276)(2604,3275)(2605,3274)(2606,3273)(2607,3272)(2608,3271)(2609,3270)(2610,3269)(2611,3268)(2612,3267)(2613,3266)(2614,3265)(2615,3264)(2616,3263)(2617,3262)(2618,3261)(2619,3260)(2620,3259)(2621,3258)(2622,3257)(2623,3256)(2624,3255)(2625,3254)(2626,3253)(2627,3252)(2628,3251)(2629,3250)(2630,3249)(2631,3248)(2632,3247)(2633,3246)(2634,3245)(2635,3244)(2636,3243)(2637,3242)(2638,3241)(2639,3240)(2640,3239)(2641,3238)(2642,3237)(2643,3236)(2644,3235)(2645,3234)(2646,3233)(2647,3232)(2648,3231)(2649,3230)(2650,3229)(2651,3228)(2652,3227)(2653,3226)(2654,3225)(2655,3224)(2656,3223)(2657,3222)(2658,3221)(2659,3220)(2660,3219)(2661,3218)(2662,3217)(2663,3216)(2664,3215)(2665,3214)(2666,3213)(2667,3212)(2668,3211)(2669,3210)(2670,3209)(2671,3208)(2672,3207)(2673,3206)(2674,3205)(2675,3204)(2676,3203)(2677,3202)(2678,3201)(2679,3200)(2680,3199)(2681,3198)(2682,3197)(2683,3196)(2684,3195)(2685,3194)(2686,3193)(2687,3192)(2688,3191)(2689,3190)(2690,3189)(2691,3188)(2692,3187)(2693,3186)(2694,3185)(2695,3184)(2696,3183)(2697,3182)(2698,3181)(2699,3180)(2700,3179)(2701,3178)(2702,3177)(2703,3176)(2704,3175)(2705,3174)(2706,3173)(2707,3172)(2708,3171)(2709,3170)(2710,3169)(2711,3168)(2712,3167)(2713,3166)(2714,3165)(2715,3164)(2716,3163)(2717,3162)(2718,3161)(2719,3160)(2720,3159)(2721,3158)(2722,3157)(2723,3156)(2724,3155)(2725,3154)(2726,3153)(2727,3152)(2728,3151)(2729,3150)(2730,3149)(2731,3148)(2732,3147)(2733,3146)(2734,3145)(2735,3144)(2736,3143)(2737,3142)(2738,3141)(2739,3140)(2740,3139)(2741,3138)(2742,3137)(2743,3136)(2744,3135)(2745,3134)(2746,3133)(2747,3132)(2748,3131)(2749,3130)(2750,3129)(2751,3128)(2752,3127)(2753,3126)(2754,3125)(2755,3124)(2756,3123)(2757,3122)(2758,3121)(2759,3120)(2760,3119)(2761,3118)(2762,3117)(2763,3116)(2764,3115)(2765,3114)(2766,3113)(2767,3112)(2768,3111)(2769,3110)(2770,3109)(2771,3108)(2772,3107)(2773,3106)(2774,3105)(2775,3104)(2776,3103)(2777,3102)(2778,3101)(2779,3100)(2780,3099)(2781,3098)(2782,3097)(2783,3096)(2784,3095)(2785,3094)(2786,3093)(2787,3092)(2788,3091)(2789,3090)(2790,3089)(2791,3088)(2792,3087)(2793,3086)(2794,3085)(2795,3084)(2796,3083)(2797,3082)(2798,3081)(2799,3080)(2800,3079)(2801,3078)(2802,3077)(2803,3076)(2804,3075)(2805,3074)(2806,3073)(2807,3072)(2808,3071)(2809,3070)(2810,3069)(2811,3068)(2812,3067)(2813,3066)(2814,3065)(2815,3064)(2816,3063)(2817,3062)(2818,3061)(2819,3060)(2820,3059)(2821,3058)(2822,3057)(2823,3056)(2824,3055)(2825,3054)(2826,3053)(2827,3052)(2828,3051)(2829,3050)(2830,3049)(2831,3048)(2832,3047)(2833,3046)(2834,3045)(2835,3044)(2836,3043)(2837,3042)(2838,3041)(2839,3040)(2840,3039)(2841,3038)(2842,3037)(2843,3036)(2844,3035)(2845,3034)(2846,3033)(2847,3032)(2848,3031)(2849,3030)(2850,3029)(2851,3028)(2852,3027)(2853,3026)(2854,3025)(2855,3024)(2856,3023)(2857,3022)(2858,3021)(2859,3020)(2860,3019)(2861,3018)(2862,3017)(2863,3016)(2864,3015)(2865,3014)(2866,3013)(2867,3012)(2868,3011)(2869,3010)(2870,3009)(2871,3008)(2872,3007)(2873,3006)(2874,3005)(2875,3004)(2876,3003)(2877,3002)(2878,3001)(2879,3000)(2880,2999)(2881,2998)(2882,2997)(2883,2996)(2884,2995)(2885,2994)(2886,2993)(2887,2992)(2888,2991)(2889,2990)(2890,2989)(2891,2988)(2892,2987)(2893,2986)(2894,2985)(2895,2984)(2896,2983)(2897,2982)(2898,2981)(2899,2980)(2900,2979)(2901,2978)(2902,2977)(2903,2976)(2904,2975)(2905,2974)(2906,2973)(2907,2972)(2908,2971)(2909,2970)(2910,2969)(2911,2968)(2912,2967)(2913,2966)(2914,2965)(2915,2964)(2916,2963)(2917,2962)(2918,2961)(2919,2960)(2920,2959)(2921,2958)(2922,2957)(2923,2956)(2924,2955)(2925,2954)(2926,2953)(2927,2952)(2928,2951)(2929,2950)(2930,2949)(2931,2948)(2932,2947)(2933,2946)(2934,2945)(2935,2944)(2936,2943)(2937,2942)(2938,2941)(2939,2940)Polycyclic presentation:
2^2,5869|a^2=b,c^a=c^58685872 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(23476, 1);