← Prev (#72224349) Next (#72224351) →
Dic6144 #72224350
Aliases
Splittings
Subgroups
72 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 8195 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)(4097,8192,8191,8190,8189,8188,8187,8186,8185,8184,8183,8182,8181,8180,8179,8178,8177,8176,8175,8174,8173,8172,8171,8170,8169,8168,8167,8166,8165,8164,8163,8162,8161,8160,8159,8158,8157,8156,8155,8154,8153,8152,8151,8150,8149,8148,8147,8146,8145,8144,8143,8142,8141,8140,8139,8138,8137,8136,8135,8134,8133,8132,8131,8130,8129,8128,8127,8126,8125,8124,8123,8122,8121,8120,8119,8118,8117,8116,8115,8114,8113,8112,8111,8110,8109,8108,8107,8106,8105,8104,8103,8102,8101,8100,8099,8098,8097,8096,8095,8094,8093,8092,8091,8090,8089,8088,8087,8086,8085,8084,8083,8082,8081,8080,8079,8078,8077,8076,8075,8074,8073,8072,8071,8070,8069,8068,8067,8066,8065,8064,8063,8062,8061,8060,8059,8058,8057,8056,8055,8054,8053,8052,8051,8050,8049,8048,8047,8046,8045,8044,8043,8042,8041,8040,8039,8038,8037,8036,8035,8034,8033,8032,8031,8030,8029,8028,8027,8026,8025,8024,8023,8022,8021,8020,8019,8018,8017,8016,8015,8014,8013,8012,8011,8010,8009,8008,8007,8006,8005,8004,8003,8002,8001,8000,7999,7998,7997,7996,7995,7994,7993,7992,7991,7990,7989,7988,7987,7986,7985,7984,7983,7982,7981,7980,7979,7978,7977,7976,7975,7974,7973,7972,7971,7970,7969,7968,7967,7966,7965,7964,7963,7962,7961,7960,7959,7958,7957,7956,7955,7954,7953,7952,7951,7950,7949,7948,7947,7946,7945,7944,7943,7942,7941,7940,7939,7938,7937,7936,7935,7934,7933,7932,7931,7930,7929,7928,7927,7926,7925,7924,7923,7922,7921,7920,7919,7918,7917,7916,7915,7914,7913,7912,7911,7910,7909,7908,7907,7906,7905,7904,7903,7902,7901,7900,7899,7898,7897,7896,7895,7894,7893,7892,7891,7890,7889,7888,7887,7886,7885,7884,7883,7882,7881,7880,7879,7878,7877,7876,7875,7874,7873,7872,7871,7870,7869,7868,7867,7866,7865,7864,7863,7862,7861,7860,7859,7858,7857,7856,7855,7854,7853,7852,7851,7850,7849,7848,7847,7846,7845,7844,7843,7842,7841,7840,7839,7838,7837,7836,7835,7834,7833,7832,7831,7830,7829,7828,7827,7826,7825,7824,7823,7822,7821,7820,7819,7818,7817,7816,7815,7814,7813,7812,7811,7810,7809,7808,7807,7806,7805,7804,7803,7802,7801,7800,7799,7798,7797,7796,7795,7794,7793,7792,7791,7790,7789,7788,7787,7786,7785,7784,7783,7782,7781,7780,7779,7778,7777,7776,7775,7774,7773,7772,7771,7770,7769,7768,7767,7766,7765,7764,7763,7762,7761,7760,7759,7758,7757,7756,7755,7754,7753,7752,7751,7750,7749,7748,7747,7746,7745,7744,7743,7742,7741,7740,7739,7738,7737,7736,7735,7734,7733,7732,7731,7730,7729,7728,7727,7726,7725,7724,7723,7722,7721,7720,7719,7718,7717,7716,7715,7714,7713,7712,7711,7710,7709,7708,7707,7706,7705,7704,7703,7702,7701,7700,7699,7698,7697,7696,7695,7694,7693,7692,7691,7690,7689,7688,7687,7686,7685,7684,7683,7682,7681,7680,7679,7678,7677,7676,7675,7674,7673,7672,7671,7670,7669,7668,7667,7666,7665,7664,7663,7662,7661,7660,7659,7658,7657,7656,7655,7654,7653,7652,7651,7650,7649,7648,7647,7646,7645,7644,7643,7642,7641,7640,7639,7638,7637,7636,7635,7634,7633,7632,7631,7630,7629,7628,7627,7626,7625,7624,7623,7622,7621,7620,7619,7618,7617,7616,7615,7614,7613,7612,7611,7610,7609,7608,7607,7606,7605,7604,7603,7602,7601,7600,7599,7598,7597,7596,7595,7594,7593,7592,7591,7590,7589,7588,7587,7586,7585,7584,7583,7582,7581,7580,7579,7578,7577,7576,7575,7574,7573,7572,7571,7570,7569,7568,7567,7566,7565,7564,7563,7562,7561,7560,7559,7558,7557,7556,7555,7554,7553,7552,7551,7550,7549,7548,7547,7546,7545,7544,7543,7542,7541,7540,7539,7538,7537,7536,7535,7534,7533,7532,7531,7530,7529,7528,7527,7526,7525,7524,7523,7522,7521,7520,7519,7518,7517,7516,7515,7514,7513,7512,7511,7510,7509,7508,7507,7506,7505,7504,7503,7502,7501,7500,7499,7498,7497,7496,7495,7494,7493,7492,7491,7490,7489,7488,7487,7486,7485,7484,7483,7482,7481,7480,7479,7478,7477,7476,7475,7474,7473,7472,7471,7470,7469,7468,7467,7466,7465,7464,7463,7462,7461,7460,7459,7458,7457,7456,7455,7454,7453,7452,7451,7450,7449,7448,7447,7446,7445,7444,7443,7442,7441,7440,7439,7438,7437,7436,7435,7434,7433,7432,7431,7430,7429,7428,7427,7426,7425,7424,7423,7422,7421,7420,7419,7418,7417,7416,7415,7414,7413,7412,7411,7410,7409,7408,7407,7406,7405,7404,7403,7402,7401,7400,7399,7398,7397,7396,7395,7394,7393,7392,7391,7390,7389,7388,7387,7386,7385,7384,7383,7382,7381,7380,7379,7378,7377,7376,7375,7374,7373,7372,7371,7370,7369,7368,7367,7366,7365,7364,7363,7362,7361,7360,7359,7358,7357,7356,7355,7354,7353,7352,7351,7350,7349,7348,7347,7346,7345,7344,7343,7342,7341,7340,7339,7338,7337,7336,7335,7334,7333,7332,7331,7330,7329,7328,7327,7326,7325,7324,7323,7322,7321,7320,7319,7318,7317,7316,7315,7314,7313,7312,7311,7310,7309,7308,7307,7306,7305,7304,7303,7302,7301,7300,7299,7298,7297,7296,7295,7294,7293,7292,7291,7290,7289,7288,7287,7286,7285,7284,7283,7282,7281,7280,7279,7278,7277,7276,7275,7274,7273,7272,7271,7270,7269,7268,7267,7266,7265,7264,7263,7262,7261,7260,7259,7258,7257,7256,7255,7254,7253,7252,7251,7250,7249,7248,7247,7246,7245,7244,7243,7242,7241,7240,7239,7238,7237,7236,7235,7234,7233,7232,7231,7230,7229,7228,7227,7226,7225,7224,7223,7222,7221,7220,7219,7218,7217,7216,7215,7214,7213,7212,7211,7210,7209,7208,7207,7206,7205,7204,7203,7202,7201,7200,7199,7198,7197,7196,7195,7194,7193,7192,7191,7190,7189,7188,7187,7186,7185,7184,7183,7182,7181,7180,7179,7178,7177,7176,7175,7174,7173,7172,7171,7170,7169,7168,7167,7166,7165,7164,7163,7162,7161,7160,7159,7158,7157,7156,7155,7154,7153,7152,7151,7150,7149,7148,7147,7146,7145,7144,7143,7142,7141,7140,7139,7138,7137,7136,7135,7134,7133,7132,7131,7130,7129,7128,7127,7126,7125,7124,7123,7122,7121,7120,7119,7118,7117,7116,7115,7114,7113,7112,7111,7110,7109,7108,7107,7106,7105,7104,7103,7102,7101,7100,7099,7098,7097,7096,7095,7094,7093,7092,7091,7090,7089,7088,7087,7086,7085,7084,7083,7082,7081,7080,7079,7078,7077,7076,7075,7074,7073,7072,7071,7070,7069,7068,7067,7066,7065,7064,7063,7062,7061,7060,7059,7058,7057,7056,7055,7054,7053,7052,7051,7050,7049,7048,7047,7046,7045,7044,7043,7042,7041,7040,7039,7038,7037,7036,7035,7034,7033,7032,7031,7030,7029,7028,7027,7026,7025,7024,7023,7022,7021,7020,7019,7018,7017,7016,7015,7014,7013,7012,7011,7010,7009,7008,7007,7006,7005,7004,7003,7002,7001,7000,6999,6998,6997,6996,6995,6994,6993,6992,6991,6990,6989,6988,6987,6986,6985,6984,6983,6982,6981,6980,6979,6978,6977,6976,6975,6974,6973,6972,6971,6970,6969,6968,6967,6966,6965,6964,6963,6962,6961,6960,6959,6958,6957,6956,6955,6954,6953,6952,6951,6950,6949,6948,6947,6946,6945,6944,6943,6942,6941,6940,6939,6938,6937,6936,6935,6934,6933,6932,6931,6930,6929,6928,6927,6926,6925,6924,6923,6922,6921,6920,6919,6918,6917,6916,6915,6914,6913,6912,6911,6910,6909,6908,6907,6906,6905,6904,6903,6902,6901,6900,6899,6898,6897,6896,6895,6894,6893,6892,6891,6890,6889,6888,6887,6886,6885,6884,6883,6882,6881,6880,6879,6878,6877,6876,6875,6874,6873,6872,6871,6870,6869,6868,6867,6866,6865,6864,6863,6862,6861,6860,6859,6858,6857,6856,6855,6854,6853,6852,6851,6850,6849,6848,6847,6846,6845,6844,6843,6842,6841,6840,6839,6838,6837,6836,6835,6834,6833,6832,6831,6830,6829,6828,6827,6826,6825,6824,6823,6822,6821,6820,6819,6818,6817,6816,6815,6814,6813,6812,6811,6810,6809,6808,6807,6806,6805,6804,6803,6802,6801,6800,6799,6798,6797,6796,6795,6794,6793,6792,6791,6790,6789,6788,6787,6786,6785,6784,6783,6782,6781,6780,6779,6778,6777,6776,6775,6774,6773,6772,6771,6770,6769,6768,6767,6766,6765,6764,6763,6762,6761,6760,6759,6758,6757,6756,6755,6754,6753,6752,6751,6750,6749,6748,6747,6746,6745,6744,6743,6742,6741,6740,6739,6738,6737,6736,6735,6734,6733,6732,6731,6730,6729,6728,6727,6726,6725,6724,6723,6722,6721,6720,6719,6718,6717,6716,6715,6714,6713,6712,6711,6710,6709,6708,6707,6706,6705,6704,6703,6702,6701,6700,6699,6698,6697,6696,6695,6694,6693,6692,6691,6690,6689,6688,6687,6686,6685,6684,6683,6682,6681,6680,6679,6678,6677,6676,6675,6674,6673,6672,6671,6670,6669,6668,6667,6666,6665,6664,6663,6662,6661,6660,6659,6658,6657,6656,6655,6654,6653,6652,6651,6650,6649,6648,6647,6646,6645,6644,6643,6642,6641,6640,6639,6638,6637,6636,6635,6634,6633,6632,6631,6630,6629,6628,6627,6626,6625,6624,6623,6622,6621,6620,6619,6618,6617,6616,6615,6614,6613,6612,6611,6610,6609,6608,6607,6606,6605,6604,6603,6602,6601,6600,6599,6598,6597,6596,6595,6594,6593,6592,6591,6590,6589,6588,6587,6586,6585,6584,6583,6582,6581,6580,6579,6578,6577,6576,6575,6574,6573,6572,6571,6570,6569,6568,6567,6566,6565,6564,6563,6562,6561,6560,6559,6558,6557,6556,6555,6554,6553,6552,6551,6550,6549,6548,6547,6546,6545,6544,6543,6542,6541,6540,6539,6538,6537,6536,6535,6534,6533,6532,6531,6530,6529,6528,6527,6526,6525,6524,6523,6522,6521,6520,6519,6518,6517,6516,6515,6514,6513,6512,6511,6510,6509,6508,6507,6506,6505,6504,6503,6502,6501,6500,6499,6498,6497,6496,6495,6494,6493,6492,6491,6490,6489,6488,6487,6486,6485,6484,6483,6482,6481,6480,6479,6478,6477,6476,6475,6474,6473,6472,6471,6470,6469,6468,6467,6466,6465,6464,6463,6462,6461,6460,6459,6458,6457,6456,6455,6454,6453,6452,6451,6450,6449,6448,6447,6446,6445,6444,6443,6442,6441,6440,6439,6438,6437,6436,6435,6434,6433,6432,6431,6430,6429,6428,6427,6426,6425,6424,6423,6422,6421,6420,6419,6418,6417,6416,6415,6414,6413,6412,6411,6410,6409,6408,6407,6406,6405,6404,6403,6402,6401,6400,6399,6398,6397,6396,6395,6394,6393,6392,6391,6390,6389,6388,6387,6386,6385,6384,6383,6382,6381,6380,6379,6378,6377,6376,6375,6374,6373,6372,6371,6370,6369,6368,6367,6366,6365,6364,6363,6362,6361,6360,6359,6358,6357,6356,6355,6354,6353,6352,6351,6350,6349,6348,6347,6346,6345,6344,6343,6342,6341,6340,6339,6338,6337,6336,6335,6334,6333,6332,6331,6330,6329,6328,6327,6326,6325,6324,6323,6322,6321,6320,6319,6318,6317,6316,6315,6314,6313,6312,6311,6310,6309,6308,6307,6306,6305,6304,6303,6302,6301,6300,6299,6298,6297,6296,6295,6294,6293,6292,6291,6290,6289,6288,6287,6286,6285,6284,6283,6282,6281,6280,6279,6278,6277,6276,6275,6274,6273,6272,6271,6270,6269,6268,6267,6266,6265,6264,6263,6262,6261,6260,6259,6258,6257,6256,6255,6254,6253,6252,6251,6250,6249,6248,6247,6246,6245,6244,6243,6242,6241,6240,6239,6238,6237,6236,6235,6234,6233,6232,6231,6230,6229,6228,6227,6226,6225,6224,6223,6222,6221,6220,6219,6218,6217,6216,6215,6214,6213,6212,6211,6210,6209,6208,6207,6206,6205,6204,6203,6202,6201,6200,6199,6198,6197,6196,6195,6194,6193,6192,6191,6190,6189,6188,6187,6186,6185,6184,6183,6182,6181,6180,6179,6178,6177,6176,6175,6174,6173,6172,6171,6170,6169,6168,6167,6166,6165,6164,6163,6162,6161,6160,6159,6158,6157,6156,6155,6154,6153,6152,6151,6150,6149,6148,6147,6146,6145,6144,6143,6142,6141,6140,6139,6138,6137,6136,6135,6134,6133,6132,6131,6130,6129,6128,6127,6126,6125,6124,6123,6122,6121,6120,6119,6118,6117,6116,6115,6114,6113,6112,6111,6110,6109,6108,6107,6106,6105,6104,6103,6102,6101,6100,6099,6098,6097,6096,6095,6094,6093,6092,6091,6090,6089,6088,6087,6086,6085,6084,6083,6082,6081,6080,6079,6078,6077,6076,6075,6074,6073,6072,6071,6070,6069,6068,6067,6066,6065,6064,6063,6062,6061,6060,6059,6058,6057,6056,6055,6054,6053,6052,6051,6050,6049,6048,6047,6046,6045,6044,6043,6042,6041,6040,6039,6038,6037,6036,6035,6034,6033,6032,6031,6030,6029,6028,6027,6026,6025,6024,6023,6022,6021,6020,6019,6018,6017,6016,6015,6014,6013,6012,6011,6010,6009,6008,6007,6006,6005,6004,6003,6002,6001,6000,5999,5998,5997,5996,5995,5994,5993,5992,5991,5990,5989,5988,5987,5986,5985,5984,5983,5982,5981,5980,5979,5978,5977,5976,5975,5974,5973,5972,5971,5970,5969,5968,5967,5966,5965,5964,5963,5962,5961,5960,5959,5958,5957,5956,5955,5954,5953,5952,5951,5950,5949,5948,5947,5946,5945,5944,5943,5942,5941,5940,5939,5938,5937,5936,5935,5934,5933,5932,5931,5930,5929,5928,5927,5926,5925,5924,5923,5922,5921,5920,5919,5918,5917,5916,5915,5914,5913,5912,5911,5910,5909,5908,5907,5906,5905,5904,5903,5902,5901,5900,5899,5898,5897,5896,5895,5894,5893,5892,5891,5890,5889,5888,5887,5886,5885,5884,5883,5882,5881,5880,5879,5878,5877,5876,5875,5874,5873,5872,5871,5870,5869,5868,5867,5866,5865,5864,5863,5862,5861,5860,5859,5858,5857,5856,5855,5854,5853,5852,5851,5850,5849,5848,5847,5846,5845,5844,5843,5842,5841,5840,5839,5838,5837,5836,5835,5834,5833,5832,5831,5830,5829,5828,5827,5826,5825,5824,5823,5822,5821,5820,5819,5818,5817,5816,5815,5814,5813,5812,5811,5810,5809,5808,5807,5806,5805,5804,5803,5802,5801,5800,5799,5798,5797,5796,5795,5794,5793,5792,5791,5790,5789,5788,5787,5786,5785,5784,5783,5782,5781,5780,5779,5778,5777,5776,5775,5774,5773,5772,5771,5770,5769,5768,5767,5766,5765,5764,5763,5762,5761,5760,5759,5758,5757,5756,5755,5754,5753,5752,5751,5750,5749,5748,5747,5746,5745,5744,5743,5742,5741,5740,5739,5738,5737,5736,5735,5734,5733,5732,5731,5730,5729,5728,5727,5726,5725,5724,5723,5722,5721,5720,5719,5718,5717,5716,5715,5714,5713,5712,5711,5710,5709,5708,5707,5706,5705,5704,5703,5702,5701,5700,5699,5698,5697,5696,5695,5694,5693,5692,5691,5690,5689,5688,5687,5686,5685,5684,5683,5682,5681,5680,5679,5678,5677,5676,5675,5674,5673,5672,5671,5670,5669,5668,5667,5666,5665,5664,5663,5662,5661,5660,5659,5658,5657,5656,5655,5654,5653,5652,5651,5650,5649,5648,5647,5646,5645,5644,5643,5642,5641,5640,5639,5638,5637,5636,5635,5634,5633,5632,5631,5630,5629,5628,5627,5626,5625,5624,5623,5622,5621,5620,5619,5618,5617,5616,5615,5614,5613,5612,5611,5610,5609,5608,5607,5606,5605,5604,5603,5602,5601,5600,5599,5598,5597,5596,5595,5594,5593,5592,5591,5590,5589,5588,5587,5586,5585,5584,5583,5582,5581,5580,5579,5578,5577,5576,5575,5574,5573,5572,5571,5570,5569,5568,5567,5566,5565,5564,5563,5562,5561,5560,5559,5558,5557,5556,5555,5554,5553,5552,5551,5550,5549,5548,5547,5546,5545,5544,5543,5542,5541,5540,5539,5538,5537,5536,5535,5534,5533,5532,5531,5530,5529,5528,5527,5526,5525,5524,5523,5522,5521,5520,5519,5518,5517,5516,5515,5514,5513,5512,5511,5510,5509,5508,5507,5506,5505,5504,5503,5502,5501,5500,5499,5498,5497,5496,5495,5494,5493,5492,5491,5490,5489,5488,5487,5486,5485,5484,5483,5482,5481,5480,5479,5478,5477,5476,5475,5474,5473,5472,5471,5470,5469,5468,5467,5466,5465,5464,5463,5462,5461,5460,5459,5458,5457,5456,5455,5454,5453,5452,5451,5450,5449,5448,5447,5446,5445,5444,5443,5442,5441,5440,5439,5438,5437,5436,5435,5434,5433,5432,5431,5430,5429,5428,5427,5426,5425,5424,5423,5422,5421,5420,5419,5418,5417,5416,5415,5414,5413,5412,5411,5410,5409,5408,5407,5406,5405,5404,5403,5402,5401,5400,5399,5398,5397,5396,5395,5394,5393,5392,5391,5390,5389,5388,5387,5386,5385,5384,5383,5382,5381,5380,5379,5378,5377,5376,5375,5374,5373,5372,5371,5370,5369,5368,5367,5366,5365,5364,5363,5362,5361,5360,5359,5358,5357,5356,5355,5354,5353,5352,5351,5350,5349,5348,5347,5346,5345,5344,5343,5342,5341,5340,5339,5338,5337,5336,5335,5334,5333,5332,5331,5330,5329,5328,5327,5326,5325,5324,5323,5322,5321,5320,5319,5318,5317,5316,5315,5314,5313,5312,5311,5310,5309,5308,5307,5306,5305,5304,5303,5302,5301,5300,5299,5298,5297,5296,5295,5294,5293,5292,5291,5290,5289,5288,5287,5286,5285,5284,5283,5282,5281,5280,5279,5278,5277,5276,5275,5274,5273,5272,5271,5270,5269,5268,5267,5266,5265,5264,5263,5262,5261,5260,5259,5258,5257,5256,5255,5254,5253,5252,5251,5250,5249,5248,5247,5246,5245,5244,5243,5242,5241,5240,5239,5238,5237,5236,5235,5234,5233,5232,5231,5230,5229,5228,5227,5226,5225,5224,5223,5222,5221,5220,5219,5218,5217,5216,5215,5214,5213,5212,5211,5210,5209,5208,5207,5206,5205,5204,5203,5202,5201,5200,5199,5198,5197,5196,5195,5194,5193,5192,5191,5190,5189,5188,5187,5186,5185,5184,5183,5182,5181,5180,5179,5178,5177,5176,5175,5174,5173,5172,5171,5170,5169,5168,5167,5166,5165,5164,5163,5162,5161,5160,5159,5158,5157,5156,5155,5154,5153,5152,5151,5150,5149,5148,5147,5146,5145,5144,5143,5142,5141,5140,5139,5138,5137,5136,5135,5134,5133,5132,5131,5130,5129,5128,5127,5126,5125,5124,5123,5122,5121,5120,5119,5118,5117,5116,5115,5114,5113,5112,5111,5110,5109,5108,5107,5106,5105,5104,5103,5102,5101,5100,5099,5098,5097,5096,5095,5094,5093,5092,5091,5090,5089,5088,5087,5086,5085,5084,5083,5082,5081,5080,5079,5078,5077,5076,5075,5074,5073,5072,5071,5070,5069,5068,5067,5066,5065,5064,5063,5062,5061,5060,5059,5058,5057,5056,5055,5054,5053,5052,5051,5050,5049,5048,5047,5046,5045,5044,5043,5042,5041,5040,5039,5038,5037,5036,5035,5034,5033,5032,5031,5030,5029,5028,5027,5026,5025,5024,5023,5022,5021,5020,5019,5018,5017,5016,5015,5014,5013,5012,5011,5010,5009,5008,5007,5006,5005,5004,5003,5002,5001,5000,4999,4998,4997,4996,4995,4994,4993,4992,4991,4990,4989,4988,4987,4986,4985,4984,4983,4982,4981,4980,4979,4978,4977,4976,4975,4974,4973,4972,4971,4970,4969,4968,4967,4966,4965,4964,4963,4962,4961,4960,4959,4958,4957,4956,4955,4954,4953,4952,4951,4950,4949,4948,4947,4946,4945,4944,4943,4942,4941,4940,4939,4938,4937,4936,4935,4934,4933,4932,4931,4930,4929,4928,4927,4926,4925,4924,4923,4922,4921,4920,4919,4918,4917,4916,4915,4914,4913,4912,4911,4910,4909,4908,4907,4906,4905,4904,4903,4902,4901,4900,4899,4898,4897,4896,4895,4894,4893,4892,4891,4890,4889,4888,4887,4886,4885,4884,4883,4882,4881,4880,4879,4878,4877,4876,4875,4874,4873,4872,4871,4870,4869,4868,4867,4866,4865,4864,4863,4862,4861,4860,4859,4858,4857,4856,4855,4854,4853,4852,4851,4850,4849,4848,4847,4846,4845,4844,4843,4842,4841,4840,4839,4838,4837,4836,4835,4834,4833,4832,4831,4830,4829,4828,4827,4826,4825,4824,4823,4822,4821,4820,4819,4818,4817,4816,4815,4814,4813,4812,4811,4810,4809,4808,4807,4806,4805,4804,4803,4802,4801,4800,4799,4798,4797,4796,4795,4794,4793,4792,4791,4790,4789,4788,4787,4786,4785,4784,4783,4782,4781,4780,4779,4778,4777,4776,4775,4774,4773,4772,4771,4770,4769,4768,4767,4766,4765,4764,4763,4762,4761,4760,4759,4758,4757,4756,4755,4754,4753,4752,4751,4750,4749,4748,4747,4746,4745,4744,4743,4742,4741,4740,4739,4738,4737,4736,4735,4734,4733,4732,4731,4730,4729,4728,4727,4726,4725,4724,4723,4722,4721,4720,4719,4718,4717,4716,4715,4714,4713,4712,4711,4710,4709,4708,4707,4706,4705,4704,4703,4702,4701,4700,4699,4698,4697,4696,4695,4694,4693,4692,4691,4690,4689,4688,4687,4686,4685,4684,4683,4682,4681,4680,4679,4678,4677,4676,4675,4674,4673,4672,4671,4670,4669,4668,4667,4666,4665,4664,4663,4662,4661,4660,4659,4658,4657,4656,4655,4654,4653,4652,4651,4650,4649,4648,4647,4646,4645,4644,4643,4642,4641,4640,4639,4638,4637,4636,4635,4634,4633,4632,4631,4630,4629,4628,4627,4626,4625,4624,4623,4622,4621,4620,4619,4618,4617,4616,4615,4614,4613,4612,4611,4610,4609,4608,4607,4606,4605,4604,4603,4602,4601,4600,4599,4598,4597,4596,4595,4594,4593,4592,4591,4590,4589,4588,4587,4586,4585,4584,4583,4582,4581,4580,4579,4578,4577,4576,4575,4574,4573,4572,4571,4570,4569,4568,4567,4566,4565,4564,4563,4562,4561,4560,4559,4558,4557,4556,4555,4554,4553,4552,4551,4550,4549,4548,4547,4546,4545,4544,4543,4542,4541,4540,4539,4538,4537,4536,4535,4534,4533,4532,4531,4530,4529,4528,4527,4526,4525,4524,4523,4522,4521,4520,4519,4518,4517,4516,4515,4514,4513,4512,4511,4510,4509,4508,4507,4506,4505,4504,4503,4502,4501,4500,4499,4498,4497,4496,4495,4494,4493,4492,4491,4490,4489,4488,4487,4486,4485,4484,4483,4482,4481,4480,4479,4478,4477,4476,4475,4474,4473,4472,4471,4470,4469,4468,4467,4466,4465,4464,4463,4462,4461,4460,4459,4458,4457,4456,4455,4454,4453,4452,4451,4450,4449,4448,4447,4446,4445,4444,4443,4442,4441,4440,4439,4438,4437,4436,4435,4434,4433,4432,4431,4430,4429,4428,4427,4426,4425,4424,4423,4422,4421,4420,4419,4418,4417,4416,4415,4414,4413,4412,4411,4410,4409,4408,4407,4406,4405,4404,4403,4402,4401,4400,4399,4398,4397,4396,4395,4394,4393,4392,4391,4390,4389,4388,4387,4386,4385,4384,4383,4382,4381,4380,4379,4378,4377,4376,4375,4374,4373,4372,4371,4370,4369,4368,4367,4366,4365,4364,4363,4362,4361,4360,4359,4358,4357,4356,4355,4354,4353,4352,4351,4350,4349,4348,4347,4346,4345,4344,4343,4342,4341,4340,4339,4338,4337,4336,4335,4334,4333,4332,4331,4330,4329,4328,4327,4326,4325,4324,4323,4322,4321,4320,4319,4318,4317,4316,4315,4314,4313,4312,4311,4310,4309,4308,4307,4306,4305,4304,4303,4302,4301,4300,4299,4298,4297,4296,4295,4294,4293,4292,4291,4290,4289,4288,4287,4286,4285,4284,4283,4282,4281,4280,4279,4278,4277,4276,4275,4274,4273,4272,4271,4270,4269,4268,4267,4266,4265,4264,4263,4262,4261,4260,4259,4258,4257,4256,4255,4254,4253,4252,4251,4250,4249,4248,4247,4246,4245,4244,4243,4242,4241,4240,4239,4238,4237,4236,4235,4234,4233,4232,4231,4230,4229,4228,4227,4226,4225,4224,4223,4222,4221,4220,4219,4218,4217,4216,4215,4214,4213,4212,4211,4210,4209,4208,4207,4206,4205,4204,4203,4202,4201,4200,4199,4198,4197,4196,4195,4194,4193,4192,4191,4190,4189,4188,4187,4186,4185,4184,4183,4182,4181,4180,4179,4178,4177,4176,4175,4174,4173,4172,4171,4170,4169,4168,4167,4166,4165,4164,4163,4162,4161,4160,4159,4158,4157,4156,4155,4154,4153,4152,4151,4150,4149,4148,4147,4146,4145,4144,4143,4142,4141,4140,4139,4138,4137,4136,4135,4134,4133,4132,4131,4130,4129,4128,4127,4126,4125,4124,4123,4122,4121,4120,4119,4118,4117,4116,4115,4114,4113,4112,4111,4110,4109,4108,4107,4106,4105,4104,4103,4102,4101,4100,4099,4098)(8193,8194,8195);(1,4097,2049,6145)(2,4098,2050,6146)(3,4099,2051,6147)(4,4100,2052,6148)(5,4101,2053,6149)(6,4102,2054,6150)(7,4103,2055,6151)(8,4104,2056,6152)(9,4105,2057,6153)(10,4106,2058,6154)(11,4107,2059,6155)(12,4108,2060,6156)(13,4109,2061,6157)(14,4110,2062,6158)(15,4111,2063,6159)(16,4112,2064,6160)(17,4113,2065,6161)(18,4114,2066,6162)(19,4115,2067,6163)(20,4116,2068,6164)(21,4117,2069,6165)(22,4118,2070,6166)(23,4119,2071,6167)(24,4120,2072,6168)(25,4121,2073,6169)(26,4122,2074,6170)(27,4123,2075,6171)(28,4124,2076,6172)(29,4125,2077,6173)(30,4126,2078,6174)(31,4127,2079,6175)(32,4128,2080,6176)(33,4129,2081,6177)(34,4130,2082,6178)(35,4131,2083,6179)(36,4132,2084,6180)(37,4133,2085,6181)(38,4134,2086,6182)(39,4135,2087,6183)(40,4136,2088,6184)(41,4137,2089,6185)(42,4138,2090,6186)(43,4139,2091,6187)(44,4140,2092,6188)(45,4141,2093,6189)(46,4142,2094,6190)(47,4143,2095,6191)(48,4144,2096,6192)(49,4145,2097,6193)(50,4146,2098,6194)(51,4147,2099,6195)(52,4148,2100,6196)(53,4149,2101,6197)(54,4150,2102,6198)(55,4151,2103,6199)(56,4152,2104,6200)(57,4153,2105,6201)(58,4154,2106,6202)(59,4155,2107,6203)(60,4156,2108,6204)(61,4157,2109,6205)(62,4158,2110,6206)(63,4159,2111,6207)(64,4160,2112,6208)(65,4161,2113,6209)(66,4162,2114,6210)(67,4163,2115,6211)(68,4164,2116,6212)(69,4165,2117,6213)(70,4166,2118,6214)(71,4167,2119,6215)(72,4168,2120,6216)(73,4169,2121,6217)(74,4170,2122,6218)(75,4171,2123,6219)(76,4172,2124,6220)(77,4173,2125,6221)(78,4174,2126,6222)(79,4175,2127,6223)(80,4176,2128,6224)(81,4177,2129,6225)(82,4178,2130,6226)(83,4179,2131,6227)(84,4180,2132,6228)(85,4181,2133,6229)(86,4182,2134,6230)(87,4183,2135,6231)(88,4184,2136,6232)(89,4185,2137,6233)(90,4186,2138,6234)(91,4187,2139,6235)(92,4188,2140,6236)(93,4189,2141,6237)(94,4190,2142,6238)(95,4191,2143,6239)(96,4192,2144,6240)(97,4193,2145,6241)(98,4194,2146,6242)(99,4195,2147,6243)(100,4196,2148,6244)(101,4197,2149,6245)(102,4198,2150,6246)(103,4199,2151,6247)(104,4200,2152,6248)(105,4201,2153,6249)(106,4202,2154,6250)(107,4203,2155,6251)(108,4204,2156,6252)(109,4205,2157,6253)(110,4206,2158,6254)(111,4207,2159,6255)(112,4208,2160,6256)(113,4209,2161,6257)(114,4210,2162,6258)(115,4211,2163,6259)(116,4212,2164,6260)(117,4213,2165,6261)(118,4214,2166,6262)(119,4215,2167,6263)(120,4216,2168,6264)(121,4217,2169,6265)(122,4218,2170,6266)(123,4219,2171,6267)(124,4220,2172,6268)(125,4221,2173,6269)(126,4222,2174,6270)(127,4223,2175,6271)(128,4224,2176,6272)(129,4225,2177,6273)(130,4226,2178,6274)(131,4227,2179,6275)(132,4228,2180,6276)(133,4229,2181,6277)(134,4230,2182,6278)(135,4231,2183,6279)(136,4232,2184,6280)(137,4233,2185,6281)(138,4234,2186,6282)(139,4235,2187,6283)(140,4236,2188,6284)(141,4237,2189,6285)(142,4238,2190,6286)(143,4239,2191,6287)(144,4240,2192,6288)(145,4241,2193,6289)(146,4242,2194,6290)(147,4243,2195,6291)(148,4244,2196,6292)(149,4245,2197,6293)(150,4246,2198,6294)(151,4247,2199,6295)(152,4248,2200,6296)(153,4249,2201,6297)(154,4250,2202,6298)(155,4251,2203,6299)(156,4252,2204,6300)(157,4253,2205,6301)(158,4254,2206,6302)(159,4255,2207,6303)(160,4256,2208,6304)(161,4257,2209,6305)(162,4258,2210,6306)(163,4259,2211,6307)(164,4260,2212,6308)(165,4261,2213,6309)(166,4262,2214,6310)(167,4263,2215,6311)(168,4264,2216,6312)(169,4265,2217,6313)(170,4266,2218,6314)(171,4267,2219,6315)(172,4268,2220,6316)(173,4269,2221,6317)(174,4270,2222,6318)(175,4271,2223,6319)(176,4272,2224,6320)(177,4273,2225,6321)(178,4274,2226,6322)(179,4275,2227,6323)(180,4276,2228,6324)(181,4277,2229,6325)(182,4278,2230,6326)(183,4279,2231,6327)(184,4280,2232,6328)(185,4281,2233,6329)(186,4282,2234,6330)(187,4283,2235,6331)(188,4284,2236,6332)(189,4285,2237,6333)(190,4286,2238,6334)(191,4287,2239,6335)(192,4288,2240,6336)(193,4289,2241,6337)(194,4290,2242,6338)(195,4291,2243,6339)(196,4292,2244,6340)(197,4293,2245,6341)(198,4294,2246,6342)(199,4295,2247,6343)(200,4296,2248,6344)(201,4297,2249,6345)(202,4298,2250,6346)(203,4299,2251,6347)(204,4300,2252,6348)(205,4301,2253,6349)(206,4302,2254,6350)(207,4303,2255,6351)(208,4304,2256,6352)(209,4305,2257,6353)(210,4306,2258,6354)(211,4307,2259,6355)(212,4308,2260,6356)(213,4309,2261,6357)(214,4310,2262,6358)(215,4311,2263,6359)(216,4312,2264,6360)(217,4313,2265,6361)(218,4314,2266,6362)(219,4315,2267,6363)(220,4316,2268,6364)(221,4317,2269,6365)(222,4318,2270,6366)(223,4319,2271,6367)(224,4320,2272,6368)(225,4321,2273,6369)(226,4322,2274,6370)(227,4323,2275,6371)(228,4324,2276,6372)(229,4325,2277,6373)(230,4326,2278,6374)(231,4327,2279,6375)(232,4328,2280,6376)(233,4329,2281,6377)(234,4330,2282,6378)(235,4331,2283,6379)(236,4332,2284,6380)(237,4333,2285,6381)(238,4334,2286,6382)(239,4335,2287,6383)(240,4336,2288,6384)(241,4337,2289,6385)(242,4338,2290,6386)(243,4339,2291,6387)(244,4340,2292,6388)(245,4341,2293,6389)(246,4342,2294,6390)(247,4343,2295,6391)(248,4344,2296,6392)(249,4345,2297,6393)(250,4346,2298,6394)(251,4347,2299,6395)(252,4348,2300,6396)(253,4349,2301,6397)(254,4350,2302,6398)(255,4351,2303,6399)(256,4352,2304,6400)(257,4353,2305,6401)(258,4354,2306,6402)(259,4355,2307,6403)(260,4356,2308,6404)(261,4357,2309,6405)(262,4358,2310,6406)(263,4359,2311,6407)(264,4360,2312,6408)(265,4361,2313,6409)(266,4362,2314,6410)(267,4363,2315,6411)(268,4364,2316,6412)(269,4365,2317,6413)(270,4366,2318,6414)(271,4367,2319,6415)(272,4368,2320,6416)(273,4369,2321,6417)(274,4370,2322,6418)(275,4371,2323,6419)(276,4372,2324,6420)(277,4373,2325,6421)(278,4374,2326,6422)(279,4375,2327,6423)(280,4376,2328,6424)(281,4377,2329,6425)(282,4378,2330,6426)(283,4379,2331,6427)(284,4380,2332,6428)(285,4381,2333,6429)(286,4382,2334,6430)(287,4383,2335,6431)(288,4384,2336,6432)(289,4385,2337,6433)(290,4386,2338,6434)(291,4387,2339,6435)(292,4388,2340,6436)(293,4389,2341,6437)(294,4390,2342,6438)(295,4391,2343,6439)(296,4392,2344,6440)(297,4393,2345,6441)(298,4394,2346,6442)(299,4395,2347,6443)(300,4396,2348,6444)(301,4397,2349,6445)(302,4398,2350,6446)(303,4399,2351,6447)(304,4400,2352,6448)(305,4401,2353,6449)(306,4402,2354,6450)(307,4403,2355,6451)(308,4404,2356,6452)(309,4405,2357,6453)(310,4406,2358,6454)(311,4407,2359,6455)(312,4408,2360,6456)(313,4409,2361,6457)(314,4410,2362,6458)(315,4411,2363,6459)(316,4412,2364,6460)(317,4413,2365,6461)(318,4414,2366,6462)(319,4415,2367,6463)(320,4416,2368,6464)(321,4417,2369,6465)(322,4418,2370,6466)(323,4419,2371,6467)(324,4420,2372,6468)(325,4421,2373,6469)(326,4422,2374,6470)(327,4423,2375,6471)(328,4424,2376,6472)(329,4425,2377,6473)(330,4426,2378,6474)(331,4427,2379,6475)(332,4428,2380,6476)(333,4429,2381,6477)(334,4430,2382,6478)(335,4431,2383,6479)(336,4432,2384,6480)(337,4433,2385,6481)(338,4434,2386,6482)(339,4435,2387,6483)(340,4436,2388,6484)(341,4437,2389,6485)(342,4438,2390,6486)(343,4439,2391,6487)(344,4440,2392,6488)(345,4441,2393,6489)(346,4442,2394,6490)(347,4443,2395,6491)(348,4444,2396,6492)(349,4445,2397,6493)(350,4446,2398,6494)(351,4447,2399,6495)(352,4448,2400,6496)(353,4449,2401,6497)(354,4450,2402,6498)(355,4451,2403,6499)(356,4452,2404,6500)(357,4453,2405,6501)(358,4454,2406,6502)(359,4455,2407,6503)(360,4456,2408,6504)(361,4457,2409,6505)(362,4458,2410,6506)(363,4459,2411,6507)(364,4460,2412,6508)(365,4461,2413,6509)(366,4462,2414,6510)(367,4463,2415,6511)(368,4464,2416,6512)(369,4465,2417,6513)(370,4466,2418,6514)(371,4467,2419,6515)(372,4468,2420,6516)(373,4469,2421,6517)(374,4470,2422,6518)(375,4471,2423,6519)(376,4472,2424,6520)(377,4473,2425,6521)(378,4474,2426,6522)(379,4475,2427,6523)(380,4476,2428,6524)(381,4477,2429,6525)(382,4478,2430,6526)(383,4479,2431,6527)(384,4480,2432,6528)(385,4481,2433,6529)(386,4482,2434,6530)(387,4483,2435,6531)(388,4484,2436,6532)(389,4485,2437,6533)(390,4486,2438,6534)(391,4487,2439,6535)(392,4488,2440,6536)(393,4489,2441,6537)(394,4490,2442,6538)(395,4491,2443,6539)(396,4492,2444,6540)(397,4493,2445,6541)(398,4494,2446,6542)(399,4495,2447,6543)(400,4496,2448,6544)(401,4497,2449,6545)(402,4498,2450,6546)(403,4499,2451,6547)(404,4500,2452,6548)(405,4501,2453,6549)(406,4502,2454,6550)(407,4503,2455,6551)(408,4504,2456,6552)(409,4505,2457,6553)(410,4506,2458,6554)(411,4507,2459,6555)(412,4508,2460,6556)(413,4509,2461,6557)(414,4510,2462,6558)(415,4511,2463,6559)(416,4512,2464,6560)(417,4513,2465,6561)(418,4514,2466,6562)(419,4515,2467,6563)(420,4516,2468,6564)(421,4517,2469,6565)(422,4518,2470,6566)(423,4519,2471,6567)(424,4520,2472,6568)(425,4521,2473,6569)(426,4522,2474,6570)(427,4523,2475,6571)(428,4524,2476,6572)(429,4525,2477,6573)(430,4526,2478,6574)(431,4527,2479,6575)(432,4528,2480,6576)(433,4529,2481,6577)(434,4530,2482,6578)(435,4531,2483,6579)(436,4532,2484,6580)(437,4533,2485,6581)(438,4534,2486,6582)(439,4535,2487,6583)(440,4536,2488,6584)(441,4537,2489,6585)(442,4538,2490,6586)(443,4539,2491,6587)(444,4540,2492,6588)(445,4541,2493,6589)(446,4542,2494,6590)(447,4543,2495,6591)(448,4544,2496,6592)(449,4545,2497,6593)(450,4546,2498,6594)(451,4547,2499,6595)(452,4548,2500,6596)(453,4549,2501,6597)(454,4550,2502,6598)(455,4551,2503,6599)(456,4552,2504,6600)(457,4553,2505,6601)(458,4554,2506,6602)(459,4555,2507,6603)(460,4556,2508,6604)(461,4557,2509,6605)(462,4558,2510,6606)(463,4559,2511,6607)(464,4560,2512,6608)(465,4561,2513,6609)(466,4562,2514,6610)(467,4563,2515,6611)(468,4564,2516,6612)(469,4565,2517,6613)(470,4566,2518,6614)(471,4567,2519,6615)(472,4568,2520,6616)(473,4569,2521,6617)(474,4570,2522,6618)(475,4571,2523,6619)(476,4572,2524,6620)(477,4573,2525,6621)(478,4574,2526,6622)(479,4575,2527,6623)(480,4576,2528,6624)(481,4577,2529,6625)(482,4578,2530,6626)(483,4579,2531,6627)(484,4580,2532,6628)(485,4581,2533,6629)(486,4582,2534,6630)(487,4583,2535,6631)(488,4584,2536,6632)(489,4585,2537,6633)(490,4586,2538,6634)(491,4587,2539,6635)(492,4588,2540,6636)(493,4589,2541,6637)(494,4590,2542,6638)(495,4591,2543,6639)(496,4592,2544,6640)(497,4593,2545,6641)(498,4594,2546,6642)(499,4595,2547,6643)(500,4596,2548,6644)(501,4597,2549,6645)(502,4598,2550,6646)(503,4599,2551,6647)(504,4600,2552,6648)(505,4601,2553,6649)(506,4602,2554,6650)(507,4603,2555,6651)(508,4604,2556,6652)(509,4605,2557,6653)(510,4606,2558,6654)(511,4607,2559,6655)(512,4608,2560,6656)(513,4609,2561,6657)(514,4610,2562,6658)(515,4611,2563,6659)(516,4612,2564,6660)(517,4613,2565,6661)(518,4614,2566,6662)(519,4615,2567,6663)(520,4616,2568,6664)(521,4617,2569,6665)(522,4618,2570,6666)(523,4619,2571,6667)(524,4620,2572,6668)(525,4621,2573,6669)(526,4622,2574,6670)(527,4623,2575,6671)(528,4624,2576,6672)(529,4625,2577,6673)(530,4626,2578,6674)(531,4627,2579,6675)(532,4628,2580,6676)(533,4629,2581,6677)(534,4630,2582,6678)(535,4631,2583,6679)(536,4632,2584,6680)(537,4633,2585,6681)(538,4634,2586,6682)(539,4635,2587,6683)(540,4636,2588,6684)(541,4637,2589,6685)(542,4638,2590,6686)(543,4639,2591,6687)(544,4640,2592,6688)(545,4641,2593,6689)(546,4642,2594,6690)(547,4643,2595,6691)(548,4644,2596,6692)(549,4645,2597,6693)(550,4646,2598,6694)(551,4647,2599,6695)(552,4648,2600,6696)(553,4649,2601,6697)(554,4650,2602,6698)(555,4651,2603,6699)(556,4652,2604,6700)(557,4653,2605,6701)(558,4654,2606,6702)(559,4655,2607,6703)(560,4656,2608,6704)(561,4657,2609,6705)(562,4658,2610,6706)(563,4659,2611,6707)(564,4660,2612,6708)(565,4661,2613,6709)(566,4662,2614,6710)(567,4663,2615,6711)(568,4664,2616,6712)(569,4665,2617,6713)(570,4666,2618,6714)(571,4667,2619,6715)(572,4668,2620,6716)(573,4669,2621,6717)(574,4670,2622,6718)(575,4671,2623,6719)(576,4672,2624,6720)(577,4673,2625,6721)(578,4674,2626,6722)(579,4675,2627,6723)(580,4676,2628,6724)(581,4677,2629,6725)(582,4678,2630,6726)(583,4679,2631,6727)(584,4680,2632,6728)(585,4681,2633,6729)(586,4682,2634,6730)(587,4683,2635,6731)(588,4684,2636,6732)(589,4685,2637,6733)(590,4686,2638,6734)(591,4687,2639,6735)(592,4688,2640,6736)(593,4689,2641,6737)(594,4690,2642,6738)(595,4691,2643,6739)(596,4692,2644,6740)(597,4693,2645,6741)(598,4694,2646,6742)(599,4695,2647,6743)(600,4696,2648,6744)(601,4697,2649,6745)(602,4698,2650,6746)(603,4699,2651,6747)(604,4700,2652,6748)(605,4701,2653,6749)(606,4702,2654,6750)(607,4703,2655,6751)(608,4704,2656,6752)(609,4705,2657,6753)(610,4706,2658,6754)(611,4707,2659,6755)(612,4708,2660,6756)(613,4709,2661,6757)(614,4710,2662,6758)(615,4711,2663,6759)(616,4712,2664,6760)(617,4713,2665,6761)(618,4714,2666,6762)(619,4715,2667,6763)(620,4716,2668,6764)(621,4717,2669,6765)(622,4718,2670,6766)(623,4719,2671,6767)(624,4720,2672,6768)(625,4721,2673,6769)(626,4722,2674,6770)(627,4723,2675,6771)(628,4724,2676,6772)(629,4725,2677,6773)(630,4726,2678,6774)(631,4727,2679,6775)(632,4728,2680,6776)(633,4729,2681,6777)(634,4730,2682,6778)(635,4731,2683,6779)(636,4732,2684,6780)(637,4733,2685,6781)(638,4734,2686,6782)(639,4735,2687,6783)(640,4736,2688,6784)(641,4737,2689,6785)(642,4738,2690,6786)(643,4739,2691,6787)(644,4740,2692,6788)(645,4741,2693,6789)(646,4742,2694,6790)(647,4743,2695,6791)(648,4744,2696,6792)(649,4745,2697,6793)(650,4746,2698,6794)(651,4747,2699,6795)(652,4748,2700,6796)(653,4749,2701,6797)(654,4750,2702,6798)(655,4751,2703,6799)(656,4752,2704,6800)(657,4753,2705,6801)(658,4754,2706,6802)(659,4755,2707,6803)(660,4756,2708,6804)(661,4757,2709,6805)(662,4758,2710,6806)(663,4759,2711,6807)(664,4760,2712,6808)(665,4761,2713,6809)(666,4762,2714,6810)(667,4763,2715,6811)(668,4764,2716,6812)(669,4765,2717,6813)(670,4766,2718,6814)(671,4767,2719,6815)(672,4768,2720,6816)(673,4769,2721,6817)(674,4770,2722,6818)(675,4771,2723,6819)(676,4772,2724,6820)(677,4773,2725,6821)(678,4774,2726,6822)(679,4775,2727,6823)(680,4776,2728,6824)(681,4777,2729,6825)(682,4778,2730,6826)(683,4779,2731,6827)(684,4780,2732,6828)(685,4781,2733,6829)(686,4782,2734,6830)(687,4783,2735,6831)(688,4784,2736,6832)(689,4785,2737,6833)(690,4786,2738,6834)(691,4787,2739,6835)(692,4788,2740,6836)(693,4789,2741,6837)(694,4790,2742,6838)(695,4791,2743,6839)(696,4792,2744,6840)(697,4793,2745,6841)(698,4794,2746,6842)(699,4795,2747,6843)(700,4796,2748,6844)(701,4797,2749,6845)(702,4798,2750,6846)(703,4799,2751,6847)(704,4800,2752,6848)(705,4801,2753,6849)(706,4802,2754,6850)(707,4803,2755,6851)(708,4804,2756,6852)(709,4805,2757,6853)(710,4806,2758,6854)(711,4807,2759,6855)(712,4808,2760,6856)(713,4809,2761,6857)(714,4810,2762,6858)(715,4811,2763,6859)(716,4812,2764,6860)(717,4813,2765,6861)(718,4814,2766,6862)(719,4815,2767,6863)(720,4816,2768,6864)(721,4817,2769,6865)(722,4818,2770,6866)(723,4819,2771,6867)(724,4820,2772,6868)(725,4821,2773,6869)(726,4822,2774,6870)(727,4823,2775,6871)(728,4824,2776,6872)(729,4825,2777,6873)(730,4826,2778,6874)(731,4827,2779,6875)(732,4828,2780,6876)(733,4829,2781,6877)(734,4830,2782,6878)(735,4831,2783,6879)(736,4832,2784,6880)(737,4833,2785,6881)(738,4834,2786,6882)(739,4835,2787,6883)(740,4836,2788,6884)(741,4837,2789,6885)(742,4838,2790,6886)(743,4839,2791,6887)(744,4840,2792,6888)(745,4841,2793,6889)(746,4842,2794,6890)(747,4843,2795,6891)(748,4844,2796,6892)(749,4845,2797,6893)(750,4846,2798,6894)(751,4847,2799,6895)(752,4848,2800,6896)(753,4849,2801,6897)(754,4850,2802,6898)(755,4851,2803,6899)(756,4852,2804,6900)(757,4853,2805,6901)(758,4854,2806,6902)(759,4855,2807,6903)(760,4856,2808,6904)(761,4857,2809,6905)(762,4858,2810,6906)(763,4859,2811,6907)(764,4860,2812,6908)(765,4861,2813,6909)(766,4862,2814,6910)(767,4863,2815,6911)(768,4864,2816,6912)(769,4865,2817,6913)(770,4866,2818,6914)(771,4867,2819,6915)(772,4868,2820,6916)(773,4869,2821,6917)(774,4870,2822,6918)(775,4871,2823,6919)(776,4872,2824,6920)(777,4873,2825,6921)(778,4874,2826,6922)(779,4875,2827,6923)(780,4876,2828,6924)(781,4877,2829,6925)(782,4878,2830,6926)(783,4879,2831,6927)(784,4880,2832,6928)(785,4881,2833,6929)(786,4882,2834,6930)(787,4883,2835,6931)(788,4884,2836,6932)(789,4885,2837,6933)(790,4886,2838,6934)(791,4887,2839,6935)(792,4888,2840,6936)(793,4889,2841,6937)(794,4890,2842,6938)(795,4891,2843,6939)(796,4892,2844,6940)(797,4893,2845,6941)(798,4894,2846,6942)(799,4895,2847,6943)(800,4896,2848,6944)(801,4897,2849,6945)(802,4898,2850,6946)(803,4899,2851,6947)(804,4900,2852,6948)(805,4901,2853,6949)(806,4902,2854,6950)(807,4903,2855,6951)(808,4904,2856,6952)(809,4905,2857,6953)(810,4906,2858,6954)(811,4907,2859,6955)(812,4908,2860,6956)(813,4909,2861,6957)(814,4910,2862,6958)(815,4911,2863,6959)(816,4912,2864,6960)(817,4913,2865,6961)(818,4914,2866,6962)(819,4915,2867,6963)(820,4916,2868,6964)(821,4917,2869,6965)(822,4918,2870,6966)(823,4919,2871,6967)(824,4920,2872,6968)(825,4921,2873,6969)(826,4922,2874,6970)(827,4923,2875,6971)(828,4924,2876,6972)(829,4925,2877,6973)(830,4926,2878,6974)(831,4927,2879,6975)(832,4928,2880,6976)(833,4929,2881,6977)(834,4930,2882,6978)(835,4931,2883,6979)(836,4932,2884,6980)(837,4933,2885,6981)(838,4934,2886,6982)(839,4935,2887,6983)(840,4936,2888,6984)(841,4937,2889,6985)(842,4938,2890,6986)(843,4939,2891,6987)(844,4940,2892,6988)(845,4941,2893,6989)(846,4942,2894,6990)(847,4943,2895,6991)(848,4944,2896,6992)(849,4945,2897,6993)(850,4946,2898,6994)(851,4947,2899,6995)(852,4948,2900,6996)(853,4949,2901,6997)(854,4950,2902,6998)(855,4951,2903,6999)(856,4952,2904,7000)(857,4953,2905,7001)(858,4954,2906,7002)(859,4955,2907,7003)(860,4956,2908,7004)(861,4957,2909,7005)(862,4958,2910,7006)(863,4959,2911,7007)(864,4960,2912,7008)(865,4961,2913,7009)(866,4962,2914,7010)(867,4963,2915,7011)(868,4964,2916,7012)(869,4965,2917,7013)(870,4966,2918,7014)(871,4967,2919,7015)(872,4968,2920,7016)(873,4969,2921,7017)(874,4970,2922,7018)(875,4971,2923,7019)(876,4972,2924,7020)(877,4973,2925,7021)(878,4974,2926,7022)(879,4975,2927,7023)(880,4976,2928,7024)(881,4977,2929,7025)(882,4978,2930,7026)(883,4979,2931,7027)(884,4980,2932,7028)(885,4981,2933,7029)(886,4982,2934,7030)(887,4983,2935,7031)(888,4984,2936,7032)(889,4985,2937,7033)(890,4986,2938,7034)(891,4987,2939,7035)(892,4988,2940,7036)(893,4989,2941,7037)(894,4990,2942,7038)(895,4991,2943,7039)(896,4992,2944,7040)(897,4993,2945,7041)(898,4994,2946,7042)(899,4995,2947,7043)(900,4996,2948,7044)(901,4997,2949,7045)(902,4998,2950,7046)(903,4999,2951,7047)(904,5000,2952,7048)(905,5001,2953,7049)(906,5002,2954,7050)(907,5003,2955,7051)(908,5004,2956,7052)(909,5005,2957,7053)(910,5006,2958,7054)(911,5007,2959,7055)(912,5008,2960,7056)(913,5009,2961,7057)(914,5010,2962,7058)(915,5011,2963,7059)(916,5012,2964,7060)(917,5013,2965,7061)(918,5014,2966,7062)(919,5015,2967,7063)(920,5016,2968,7064)(921,5017,2969,7065)(922,5018,2970,7066)(923,5019,2971,7067)(924,5020,2972,7068)(925,5021,2973,7069)(926,5022,2974,7070)(927,5023,2975,7071)(928,5024,2976,7072)(929,5025,2977,7073)(930,5026,2978,7074)(931,5027,2979,7075)(932,5028,2980,7076)(933,5029,2981,7077)(934,5030,2982,7078)(935,5031,2983,7079)(936,5032,2984,7080)(937,5033,2985,7081)(938,5034,2986,7082)(939,5035,2987,7083)(940,5036,2988,7084)(941,5037,2989,7085)(942,5038,2990,7086)(943,5039,2991,7087)(944,5040,2992,7088)(945,5041,2993,7089)(946,5042,2994,7090)(947,5043,2995,7091)(948,5044,2996,7092)(949,5045,2997,7093)(950,5046,2998,7094)(951,5047,2999,7095)(952,5048,3000,7096)(953,5049,3001,7097)(954,5050,3002,7098)(955,5051,3003,7099)(956,5052,3004,7100)(957,5053,3005,7101)(958,5054,3006,7102)(959,5055,3007,7103)(960,5056,3008,7104)(961,5057,3009,7105)(962,5058,3010,7106)(963,5059,3011,7107)(964,5060,3012,7108)(965,5061,3013,7109)(966,5062,3014,7110)(967,5063,3015,7111)(968,5064,3016,7112)(969,5065,3017,7113)(970,5066,3018,7114)(971,5067,3019,7115)(972,5068,3020,7116)(973,5069,3021,7117)(974,5070,3022,7118)(975,5071,3023,7119)(976,5072,3024,7120)(977,5073,3025,7121)(978,5074,3026,7122)(979,5075,3027,7123)(980,5076,3028,7124)(981,5077,3029,7125)(982,5078,3030,7126)(983,5079,3031,7127)(984,5080,3032,7128)(985,5081,3033,7129)(986,5082,3034,7130)(987,5083,3035,7131)(988,5084,3036,7132)(989,5085,3037,7133)(990,5086,3038,7134)(991,5087,3039,7135)(992,5088,3040,7136)(993,5089,3041,7137)(994,5090,3042,7138)(995,5091,3043,7139)(996,5092,3044,7140)(997,5093,3045,7141)(998,5094,3046,7142)(999,5095,3047,7143)(1000,5096,3048,7144)(1001,5097,3049,7145)(1002,5098,3050,7146)(1003,5099,3051,7147)(1004,5100,3052,7148)(1005,5101,3053,7149)(1006,5102,3054,7150)(1007,5103,3055,7151)(1008,5104,3056,7152)(1009,5105,3057,7153)(1010,5106,3058,7154)(1011,5107,3059,7155)(1012,5108,3060,7156)(1013,5109,3061,7157)(1014,5110,3062,7158)(1015,5111,3063,7159)(1016,5112,3064,7160)(1017,5113,3065,7161)(1018,5114,3066,7162)(1019,5115,3067,7163)(1020,5116,3068,7164)(1021,5117,3069,7165)(1022,5118,3070,7166)(1023,5119,3071,7167)(1024,5120,3072,7168)(1025,5121,3073,7169)(1026,5122,3074,7170)(1027,5123,3075,7171)(1028,5124,3076,7172)(1029,5125,3077,7173)(1030,5126,3078,7174)(1031,5127,3079,7175)(1032,5128,3080,7176)(1033,5129,3081,7177)(1034,5130,3082,7178)(1035,5131,3083,7179)(1036,5132,3084,7180)(1037,5133,3085,7181)(1038,5134,3086,7182)(1039,5135,3087,7183)(1040,5136,3088,7184)(1041,5137,3089,7185)(1042,5138,3090,7186)(1043,5139,3091,7187)(1044,5140,3092,7188)(1045,5141,3093,7189)(1046,5142,3094,7190)(1047,5143,3095,7191)(1048,5144,3096,7192)(1049,5145,3097,7193)(1050,5146,3098,7194)(1051,5147,3099,7195)(1052,5148,3100,7196)(1053,5149,3101,7197)(1054,5150,3102,7198)(1055,5151,3103,7199)(1056,5152,3104,7200)(1057,5153,3105,7201)(1058,5154,3106,7202)(1059,5155,3107,7203)(1060,5156,3108,7204)(1061,5157,3109,7205)(1062,5158,3110,7206)(1063,5159,3111,7207)(1064,5160,3112,7208)(1065,5161,3113,7209)(1066,5162,3114,7210)(1067,5163,3115,7211)(1068,5164,3116,7212)(1069,5165,3117,7213)(1070,5166,3118,7214)(1071,5167,3119,7215)(1072,5168,3120,7216)(1073,5169,3121,7217)(1074,5170,3122,7218)(1075,5171,3123,7219)(1076,5172,3124,7220)(1077,5173,3125,7221)(1078,5174,3126,7222)(1079,5175,3127,7223)(1080,5176,3128,7224)(1081,5177,3129,7225)(1082,5178,3130,7226)(1083,5179,3131,7227)(1084,5180,3132,7228)(1085,5181,3133,7229)(1086,5182,3134,7230)(1087,5183,3135,7231)(1088,5184,3136,7232)(1089,5185,3137,7233)(1090,5186,3138,7234)(1091,5187,3139,7235)(1092,5188,3140,7236)(1093,5189,3141,7237)(1094,5190,3142,7238)(1095,5191,3143,7239)(1096,5192,3144,7240)(1097,5193,3145,7241)(1098,5194,3146,7242)(1099,5195,3147,7243)(1100,5196,3148,7244)(1101,5197,3149,7245)(1102,5198,3150,7246)(1103,5199,3151,7247)(1104,5200,3152,7248)(1105,5201,3153,7249)(1106,5202,3154,7250)(1107,5203,3155,7251)(1108,5204,3156,7252)(1109,5205,3157,7253)(1110,5206,3158,7254)(1111,5207,3159,7255)(1112,5208,3160,7256)(1113,5209,3161,7257)(1114,5210,3162,7258)(1115,5211,3163,7259)(1116,5212,3164,7260)(1117,5213,3165,7261)(1118,5214,3166,7262)(1119,5215,3167,7263)(1120,5216,3168,7264)(1121,5217,3169,7265)(1122,5218,3170,7266)(1123,5219,3171,7267)(1124,5220,3172,7268)(1125,5221,3173,7269)(1126,5222,3174,7270)(1127,5223,3175,7271)(1128,5224,3176,7272)(1129,5225,3177,7273)(1130,5226,3178,7274)(1131,5227,3179,7275)(1132,5228,3180,7276)(1133,5229,3181,7277)(1134,5230,3182,7278)(1135,5231,3183,7279)(1136,5232,3184,7280)(1137,5233,3185,7281)(1138,5234,3186,7282)(1139,5235,3187,7283)(1140,5236,3188,7284)(1141,5237,3189,7285)(1142,5238,3190,7286)(1143,5239,3191,7287)(1144,5240,3192,7288)(1145,5241,3193,7289)(1146,5242,3194,7290)(1147,5243,3195,7291)(1148,5244,3196,7292)(1149,5245,3197,7293)(1150,5246,3198,7294)(1151,5247,3199,7295)(1152,5248,3200,7296)(1153,5249,3201,7297)(1154,5250,3202,7298)(1155,5251,3203,7299)(1156,5252,3204,7300)(1157,5253,3205,7301)(1158,5254,3206,7302)(1159,5255,3207,7303)(1160,5256,3208,7304)(1161,5257,3209,7305)(1162,5258,3210,7306)(1163,5259,3211,7307)(1164,5260,3212,7308)(1165,5261,3213,7309)(1166,5262,3214,7310)(1167,5263,3215,7311)(1168,5264,3216,7312)(1169,5265,3217,7313)(1170,5266,3218,7314)(1171,5267,3219,7315)(1172,5268,3220,7316)(1173,5269,3221,7317)(1174,5270,3222,7318)(1175,5271,3223,7319)(1176,5272,3224,7320)(1177,5273,3225,7321)(1178,5274,3226,7322)(1179,5275,3227,7323)(1180,5276,3228,7324)(1181,5277,3229,7325)(1182,5278,3230,7326)(1183,5279,3231,7327)(1184,5280,3232,7328)(1185,5281,3233,7329)(1186,5282,3234,7330)(1187,5283,3235,7331)(1188,5284,3236,7332)(1189,5285,3237,7333)(1190,5286,3238,7334)(1191,5287,3239,7335)(1192,5288,3240,7336)(1193,5289,3241,7337)(1194,5290,3242,7338)(1195,5291,3243,7339)(1196,5292,3244,7340)(1197,5293,3245,7341)(1198,5294,3246,7342)(1199,5295,3247,7343)(1200,5296,3248,7344)(1201,5297,3249,7345)(1202,5298,3250,7346)(1203,5299,3251,7347)(1204,5300,3252,7348)(1205,5301,3253,7349)(1206,5302,3254,7350)(1207,5303,3255,7351)(1208,5304,3256,7352)(1209,5305,3257,7353)(1210,5306,3258,7354)(1211,5307,3259,7355)(1212,5308,3260,7356)(1213,5309,3261,7357)(1214,5310,3262,7358)(1215,5311,3263,7359)(1216,5312,3264,7360)(1217,5313,3265,7361)(1218,5314,3266,7362)(1219,5315,3267,7363)(1220,5316,3268,7364)(1221,5317,3269,7365)(1222,5318,3270,7366)(1223,5319,3271,7367)(1224,5320,3272,7368)(1225,5321,3273,7369)(1226,5322,3274,7370)(1227,5323,3275,7371)(1228,5324,3276,7372)(1229,5325,3277,7373)(1230,5326,3278,7374)(1231,5327,3279,7375)(1232,5328,3280,7376)(1233,5329,3281,7377)(1234,5330,3282,7378)(1235,5331,3283,7379)(1236,5332,3284,7380)(1237,5333,3285,7381)(1238,5334,3286,7382)(1239,5335,3287,7383)(1240,5336,3288,7384)(1241,5337,3289,7385)(1242,5338,3290,7386)(1243,5339,3291,7387)(1244,5340,3292,7388)(1245,5341,3293,7389)(1246,5342,3294,7390)(1247,5343,3295,7391)(1248,5344,3296,7392)(1249,5345,3297,7393)(1250,5346,3298,7394)(1251,5347,3299,7395)(1252,5348,3300,7396)(1253,5349,3301,7397)(1254,5350,3302,7398)(1255,5351,3303,7399)(1256,5352,3304,7400)(1257,5353,3305,7401)(1258,5354,3306,7402)(1259,5355,3307,7403)(1260,5356,3308,7404)(1261,5357,3309,7405)(1262,5358,3310,7406)(1263,5359,3311,7407)(1264,5360,3312,7408)(1265,5361,3313,7409)(1266,5362,3314,7410)(1267,5363,3315,7411)(1268,5364,3316,7412)(1269,5365,3317,7413)(1270,5366,3318,7414)(1271,5367,3319,7415)(1272,5368,3320,7416)(1273,5369,3321,7417)(1274,5370,3322,7418)(1275,5371,3323,7419)(1276,5372,3324,7420)(1277,5373,3325,7421)(1278,5374,3326,7422)(1279,5375,3327,7423)(1280,5376,3328,7424)(1281,5377,3329,7425)(1282,5378,3330,7426)(1283,5379,3331,7427)(1284,5380,3332,7428)(1285,5381,3333,7429)(1286,5382,3334,7430)(1287,5383,3335,7431)(1288,5384,3336,7432)(1289,5385,3337,7433)(1290,5386,3338,7434)(1291,5387,3339,7435)(1292,5388,3340,7436)(1293,5389,3341,7437)(1294,5390,3342,7438)(1295,5391,3343,7439)(1296,5392,3344,7440)(1297,5393,3345,7441)(1298,5394,3346,7442)(1299,5395,3347,7443)(1300,5396,3348,7444)(1301,5397,3349,7445)(1302,5398,3350,7446)(1303,5399,3351,7447)(1304,5400,3352,7448)(1305,5401,3353,7449)(1306,5402,3354,7450)(1307,5403,3355,7451)(1308,5404,3356,7452)(1309,5405,3357,7453)(1310,5406,3358,7454)(1311,5407,3359,7455)(1312,5408,3360,7456)(1313,5409,3361,7457)(1314,5410,3362,7458)(1315,5411,3363,7459)(1316,5412,3364,7460)(1317,5413,3365,7461)(1318,5414,3366,7462)(1319,5415,3367,7463)(1320,5416,3368,7464)(1321,5417,3369,7465)(1322,5418,3370,7466)(1323,5419,3371,7467)(1324,5420,3372,7468)(1325,5421,3373,7469)(1326,5422,3374,7470)(1327,5423,3375,7471)(1328,5424,3376,7472)(1329,5425,3377,7473)(1330,5426,3378,7474)(1331,5427,3379,7475)(1332,5428,3380,7476)(1333,5429,3381,7477)(1334,5430,3382,7478)(1335,5431,3383,7479)(1336,5432,3384,7480)(1337,5433,3385,7481)(1338,5434,3386,7482)(1339,5435,3387,7483)(1340,5436,3388,7484)(1341,5437,3389,7485)(1342,5438,3390,7486)(1343,5439,3391,7487)(1344,5440,3392,7488)(1345,5441,3393,7489)(1346,5442,3394,7490)(1347,5443,3395,7491)(1348,5444,3396,7492)(1349,5445,3397,7493)(1350,5446,3398,7494)(1351,5447,3399,7495)(1352,5448,3400,7496)(1353,5449,3401,7497)(1354,5450,3402,7498)(1355,5451,3403,7499)(1356,5452,3404,7500)(1357,5453,3405,7501)(1358,5454,3406,7502)(1359,5455,3407,7503)(1360,5456,3408,7504)(1361,5457,3409,7505)(1362,5458,3410,7506)(1363,5459,3411,7507)(1364,5460,3412,7508)(1365,5461,3413,7509)(1366,5462,3414,7510)(1367,5463,3415,7511)(1368,5464,3416,7512)(1369,5465,3417,7513)(1370,5466,3418,7514)(1371,5467,3419,7515)(1372,5468,3420,7516)(1373,5469,3421,7517)(1374,5470,3422,7518)(1375,5471,3423,7519)(1376,5472,3424,7520)(1377,5473,3425,7521)(1378,5474,3426,7522)(1379,5475,3427,7523)(1380,5476,3428,7524)(1381,5477,3429,7525)(1382,5478,3430,7526)(1383,5479,3431,7527)(1384,5480,3432,7528)(1385,5481,3433,7529)(1386,5482,3434,7530)(1387,5483,3435,7531)(1388,5484,3436,7532)(1389,5485,3437,7533)(1390,5486,3438,7534)(1391,5487,3439,7535)(1392,5488,3440,7536)(1393,5489,3441,7537)(1394,5490,3442,7538)(1395,5491,3443,7539)(1396,5492,3444,7540)(1397,5493,3445,7541)(1398,5494,3446,7542)(1399,5495,3447,7543)(1400,5496,3448,7544)(1401,5497,3449,7545)(1402,5498,3450,7546)(1403,5499,3451,7547)(1404,5500,3452,7548)(1405,5501,3453,7549)(1406,5502,3454,7550)(1407,5503,3455,7551)(1408,5504,3456,7552)(1409,5505,3457,7553)(1410,5506,3458,7554)(1411,5507,3459,7555)(1412,5508,3460,7556)(1413,5509,3461,7557)(1414,5510,3462,7558)(1415,5511,3463,7559)(1416,5512,3464,7560)(1417,5513,3465,7561)(1418,5514,3466,7562)(1419,5515,3467,7563)(1420,5516,3468,7564)(1421,5517,3469,7565)(1422,5518,3470,7566)(1423,5519,3471,7567)(1424,5520,3472,7568)(1425,5521,3473,7569)(1426,5522,3474,7570)(1427,5523,3475,7571)(1428,5524,3476,7572)(1429,5525,3477,7573)(1430,5526,3478,7574)(1431,5527,3479,7575)(1432,5528,3480,7576)(1433,5529,3481,7577)(1434,5530,3482,7578)(1435,5531,3483,7579)(1436,5532,3484,7580)(1437,5533,3485,7581)(1438,5534,3486,7582)(1439,5535,3487,7583)(1440,5536,3488,7584)(1441,5537,3489,7585)(1442,5538,3490,7586)(1443,5539,3491,7587)(1444,5540,3492,7588)(1445,5541,3493,7589)(1446,5542,3494,7590)(1447,5543,3495,7591)(1448,5544,3496,7592)(1449,5545,3497,7593)(1450,5546,3498,7594)(1451,5547,3499,7595)(1452,5548,3500,7596)(1453,5549,3501,7597)(1454,5550,3502,7598)(1455,5551,3503,7599)(1456,5552,3504,7600)(1457,5553,3505,7601)(1458,5554,3506,7602)(1459,5555,3507,7603)(1460,5556,3508,7604)(1461,5557,3509,7605)(1462,5558,3510,7606)(1463,5559,3511,7607)(1464,5560,3512,7608)(1465,5561,3513,7609)(1466,5562,3514,7610)(1467,5563,3515,7611)(1468,5564,3516,7612)(1469,5565,3517,7613)(1470,5566,3518,7614)(1471,5567,3519,7615)(1472,5568,3520,7616)(1473,5569,3521,7617)(1474,5570,3522,7618)(1475,5571,3523,7619)(1476,5572,3524,7620)(1477,5573,3525,7621)(1478,5574,3526,7622)(1479,5575,3527,7623)(1480,5576,3528,7624)(1481,5577,3529,7625)(1482,5578,3530,7626)(1483,5579,3531,7627)(1484,5580,3532,7628)(1485,5581,3533,7629)(1486,5582,3534,7630)(1487,5583,3535,7631)(1488,5584,3536,7632)(1489,5585,3537,7633)(1490,5586,3538,7634)(1491,5587,3539,7635)(1492,5588,3540,7636)(1493,5589,3541,7637)(1494,5590,3542,7638)(1495,5591,3543,7639)(1496,5592,3544,7640)(1497,5593,3545,7641)(1498,5594,3546,7642)(1499,5595,3547,7643)(1500,5596,3548,7644)(1501,5597,3549,7645)(1502,5598,3550,7646)(1503,5599,3551,7647)(1504,5600,3552,7648)(1505,5601,3553,7649)(1506,5602,3554,7650)(1507,5603,3555,7651)(1508,5604,3556,7652)(1509,5605,3557,7653)(1510,5606,3558,7654)(1511,5607,3559,7655)(1512,5608,3560,7656)(1513,5609,3561,7657)(1514,5610,3562,7658)(1515,5611,3563,7659)(1516,5612,3564,7660)(1517,5613,3565,7661)(1518,5614,3566,7662)(1519,5615,3567,7663)(1520,5616,3568,7664)(1521,5617,3569,7665)(1522,5618,3570,7666)(1523,5619,3571,7667)(1524,5620,3572,7668)(1525,5621,3573,7669)(1526,5622,3574,7670)(1527,5623,3575,7671)(1528,5624,3576,7672)(1529,5625,3577,7673)(1530,5626,3578,7674)(1531,5627,3579,7675)(1532,5628,3580,7676)(1533,5629,3581,7677)(1534,5630,3582,7678)(1535,5631,3583,7679)(1536,5632,3584,7680)(1537,5633,3585,7681)(1538,5634,3586,7682)(1539,5635,3587,7683)(1540,5636,3588,7684)(1541,5637,3589,7685)(1542,5638,3590,7686)(1543,5639,3591,7687)(1544,5640,3592,7688)(1545,5641,3593,7689)(1546,5642,3594,7690)(1547,5643,3595,7691)(1548,5644,3596,7692)(1549,5645,3597,7693)(1550,5646,3598,7694)(1551,5647,3599,7695)(1552,5648,3600,7696)(1553,5649,3601,7697)(1554,5650,3602,7698)(1555,5651,3603,7699)(1556,5652,3604,7700)(1557,5653,3605,7701)(1558,5654,3606,7702)(1559,5655,3607,7703)(1560,5656,3608,7704)(1561,5657,3609,7705)(1562,5658,3610,7706)(1563,5659,3611,7707)(1564,5660,3612,7708)(1565,5661,3613,7709)(1566,5662,3614,7710)(1567,5663,3615,7711)(1568,5664,3616,7712)(1569,5665,3617,7713)(1570,5666,3618,7714)(1571,5667,3619,7715)(1572,5668,3620,7716)(1573,5669,3621,7717)(1574,5670,3622,7718)(1575,5671,3623,7719)(1576,5672,3624,7720)(1577,5673,3625,7721)(1578,5674,3626,7722)(1579,5675,3627,7723)(1580,5676,3628,7724)(1581,5677,3629,7725)(1582,5678,3630,7726)(1583,5679,3631,7727)(1584,5680,3632,7728)(1585,5681,3633,7729)(1586,5682,3634,7730)(1587,5683,3635,7731)(1588,5684,3636,7732)(1589,5685,3637,7733)(1590,5686,3638,7734)(1591,5687,3639,7735)(1592,5688,3640,7736)(1593,5689,3641,7737)(1594,5690,3642,7738)(1595,5691,3643,7739)(1596,5692,3644,7740)(1597,5693,3645,7741)(1598,5694,3646,7742)(1599,5695,3647,7743)(1600,5696,3648,7744)(1601,5697,3649,7745)(1602,5698,3650,7746)(1603,5699,3651,7747)(1604,5700,3652,7748)(1605,5701,3653,7749)(1606,5702,3654,7750)(1607,5703,3655,7751)(1608,5704,3656,7752)(1609,5705,3657,7753)(1610,5706,3658,7754)(1611,5707,3659,7755)(1612,5708,3660,7756)(1613,5709,3661,7757)(1614,5710,3662,7758)(1615,5711,3663,7759)(1616,5712,3664,7760)(1617,5713,3665,7761)(1618,5714,3666,7762)(1619,5715,3667,7763)(1620,5716,3668,7764)(1621,5717,3669,7765)(1622,5718,3670,7766)(1623,5719,3671,7767)(1624,5720,3672,7768)(1625,5721,3673,7769)(1626,5722,3674,7770)(1627,5723,3675,7771)(1628,5724,3676,7772)(1629,5725,3677,7773)(1630,5726,3678,7774)(1631,5727,3679,7775)(1632,5728,3680,7776)(1633,5729,3681,7777)(1634,5730,3682,7778)(1635,5731,3683,7779)(1636,5732,3684,7780)(1637,5733,3685,7781)(1638,5734,3686,7782)(1639,5735,3687,7783)(1640,5736,3688,7784)(1641,5737,3689,7785)(1642,5738,3690,7786)(1643,5739,3691,7787)(1644,5740,3692,7788)(1645,5741,3693,7789)(1646,5742,3694,7790)(1647,5743,3695,7791)(1648,5744,3696,7792)(1649,5745,3697,7793)(1650,5746,3698,7794)(1651,5747,3699,7795)(1652,5748,3700,7796)(1653,5749,3701,7797)(1654,5750,3702,7798)(1655,5751,3703,7799)(1656,5752,3704,7800)(1657,5753,3705,7801)(1658,5754,3706,7802)(1659,5755,3707,7803)(1660,5756,3708,7804)(1661,5757,3709,7805)(1662,5758,3710,7806)(1663,5759,3711,7807)(1664,5760,3712,7808)(1665,5761,3713,7809)(1666,5762,3714,7810)(1667,5763,3715,7811)(1668,5764,3716,7812)(1669,5765,3717,7813)(1670,5766,3718,7814)(1671,5767,3719,7815)(1672,5768,3720,7816)(1673,5769,3721,7817)(1674,5770,3722,7818)(1675,5771,3723,7819)(1676,5772,3724,7820)(1677,5773,3725,7821)(1678,5774,3726,7822)(1679,5775,3727,7823)(1680,5776,3728,7824)(1681,5777,3729,7825)(1682,5778,3730,7826)(1683,5779,3731,7827)(1684,5780,3732,7828)(1685,5781,3733,7829)(1686,5782,3734,7830)(1687,5783,3735,7831)(1688,5784,3736,7832)(1689,5785,3737,7833)(1690,5786,3738,7834)(1691,5787,3739,7835)(1692,5788,3740,7836)(1693,5789,3741,7837)(1694,5790,3742,7838)(1695,5791,3743,7839)(1696,5792,3744,7840)(1697,5793,3745,7841)(1698,5794,3746,7842)(1699,5795,3747,7843)(1700,5796,3748,7844)(1701,5797,3749,7845)(1702,5798,3750,7846)(1703,5799,3751,7847)(1704,5800,3752,7848)(1705,5801,3753,7849)(1706,5802,3754,7850)(1707,5803,3755,7851)(1708,5804,3756,7852)(1709,5805,3757,7853)(1710,5806,3758,7854)(1711,5807,3759,7855)(1712,5808,3760,7856)(1713,5809,3761,7857)(1714,5810,3762,7858)(1715,5811,3763,7859)(1716,5812,3764,7860)(1717,5813,3765,7861)(1718,5814,3766,7862)(1719,5815,3767,7863)(1720,5816,3768,7864)(1721,5817,3769,7865)(1722,5818,3770,7866)(1723,5819,3771,7867)(1724,5820,3772,7868)(1725,5821,3773,7869)(1726,5822,3774,7870)(1727,5823,3775,7871)(1728,5824,3776,7872)(1729,5825,3777,7873)(1730,5826,3778,7874)(1731,5827,3779,7875)(1732,5828,3780,7876)(1733,5829,3781,7877)(1734,5830,3782,7878)(1735,5831,3783,7879)(1736,5832,3784,7880)(1737,5833,3785,7881)(1738,5834,3786,7882)(1739,5835,3787,7883)(1740,5836,3788,7884)(1741,5837,3789,7885)(1742,5838,3790,7886)(1743,5839,3791,7887)(1744,5840,3792,7888)(1745,5841,3793,7889)(1746,5842,3794,7890)(1747,5843,3795,7891)(1748,5844,3796,7892)(1749,5845,3797,7893)(1750,5846,3798,7894)(1751,5847,3799,7895)(1752,5848,3800,7896)(1753,5849,3801,7897)(1754,5850,3802,7898)(1755,5851,3803,7899)(1756,5852,3804,7900)(1757,5853,3805,7901)(1758,5854,3806,7902)(1759,5855,3807,7903)(1760,5856,3808,7904)(1761,5857,3809,7905)(1762,5858,3810,7906)(1763,5859,3811,7907)(1764,5860,3812,7908)(1765,5861,3813,7909)(1766,5862,3814,7910)(1767,5863,3815,7911)(1768,5864,3816,7912)(1769,5865,3817,7913)(1770,5866,3818,7914)(1771,5867,3819,7915)(1772,5868,3820,7916)(1773,5869,3821,7917)(1774,5870,3822,7918)(1775,5871,3823,7919)(1776,5872,3824,7920)(1777,5873,3825,7921)(1778,5874,3826,7922)(1779,5875,3827,7923)(1780,5876,3828,7924)(1781,5877,3829,7925)(1782,5878,3830,7926)(1783,5879,3831,7927)(1784,5880,3832,7928)(1785,5881,3833,7929)(1786,5882,3834,7930)(1787,5883,3835,7931)(1788,5884,3836,7932)(1789,5885,3837,7933)(1790,5886,3838,7934)(1791,5887,3839,7935)(1792,5888,3840,7936)(1793,5889,3841,7937)(1794,5890,3842,7938)(1795,5891,3843,7939)(1796,5892,3844,7940)(1797,5893,3845,7941)(1798,5894,3846,7942)(1799,5895,3847,7943)(1800,5896,3848,7944)(1801,5897,3849,7945)(1802,5898,3850,7946)(1803,5899,3851,7947)(1804,5900,3852,7948)(1805,5901,3853,7949)(1806,5902,3854,7950)(1807,5903,3855,7951)(1808,5904,3856,7952)(1809,5905,3857,7953)(1810,5906,3858,7954)(1811,5907,3859,7955)(1812,5908,3860,7956)(1813,5909,3861,7957)(1814,5910,3862,7958)(1815,5911,3863,7959)(1816,5912,3864,7960)(1817,5913,3865,7961)(1818,5914,3866,7962)(1819,5915,3867,7963)(1820,5916,3868,7964)(1821,5917,3869,7965)(1822,5918,3870,7966)(1823,5919,3871,7967)(1824,5920,3872,7968)(1825,5921,3873,7969)(1826,5922,3874,7970)(1827,5923,3875,7971)(1828,5924,3876,7972)(1829,5925,3877,7973)(1830,5926,3878,7974)(1831,5927,3879,7975)(1832,5928,3880,7976)(1833,5929,3881,7977)(1834,5930,3882,7978)(1835,5931,3883,7979)(1836,5932,3884,7980)(1837,5933,3885,7981)(1838,5934,3886,7982)(1839,5935,3887,7983)(1840,5936,3888,7984)(1841,5937,3889,7985)(1842,5938,3890,7986)(1843,5939,3891,7987)(1844,5940,3892,7988)(1845,5941,3893,7989)(1846,5942,3894,7990)(1847,5943,3895,7991)(1848,5944,3896,7992)(1849,5945,3897,7993)(1850,5946,3898,7994)(1851,5947,3899,7995)(1852,5948,3900,7996)(1853,5949,3901,7997)(1854,5950,3902,7998)(1855,5951,3903,7999)(1856,5952,3904,8000)(1857,5953,3905,8001)(1858,5954,3906,8002)(1859,5955,3907,8003)(1860,5956,3908,8004)(1861,5957,3909,8005)(1862,5958,3910,8006)(1863,5959,3911,8007)(1864,5960,3912,8008)(1865,5961,3913,8009)(1866,5962,3914,8010)(1867,5963,3915,8011)(1868,5964,3916,8012)(1869,5965,3917,8013)(1870,5966,3918,8014)(1871,5967,3919,8015)(1872,5968,3920,8016)(1873,5969,3921,8017)(1874,5970,3922,8018)(1875,5971,3923,8019)(1876,5972,3924,8020)(1877,5973,3925,8021)(1878,5974,3926,8022)(1879,5975,3927,8023)(1880,5976,3928,8024)(1881,5977,3929,8025)(1882,5978,3930,8026)(1883,5979,3931,8027)(1884,5980,3932,8028)(1885,5981,3933,8029)(1886,5982,3934,8030)(1887,5983,3935,8031)(1888,5984,3936,8032)(1889,5985,3937,8033)(1890,5986,3938,8034)(1891,5987,3939,8035)(1892,5988,3940,8036)(1893,5989,3941,8037)(1894,5990,3942,8038)(1895,5991,3943,8039)(1896,5992,3944,8040)(1897,5993,3945,8041)(1898,5994,3946,8042)(1899,5995,3947,8043)(1900,5996,3948,8044)(1901,5997,3949,8045)(1902,5998,3950,8046)(1903,5999,3951,8047)(1904,6000,3952,8048)(1905,6001,3953,8049)(1906,6002,3954,8050)(1907,6003,3955,8051)(1908,6004,3956,8052)(1909,6005,3957,8053)(1910,6006,3958,8054)(1911,6007,3959,8055)(1912,6008,3960,8056)(1913,6009,3961,8057)(1914,6010,3962,8058)(1915,6011,3963,8059)(1916,6012,3964,8060)(1917,6013,3965,8061)(1918,6014,3966,8062)(1919,6015,3967,8063)(1920,6016,3968,8064)(1921,6017,3969,8065)(1922,6018,3970,8066)(1923,6019,3971,8067)(1924,6020,3972,8068)(1925,6021,3973,8069)(1926,6022,3974,8070)(1927,6023,3975,8071)(1928,6024,3976,8072)(1929,6025,3977,8073)(1930,6026,3978,8074)(1931,6027,3979,8075)(1932,6028,3980,8076)(1933,6029,3981,8077)(1934,6030,3982,8078)(1935,6031,3983,8079)(1936,6032,3984,8080)(1937,6033,3985,8081)(1938,6034,3986,8082)(1939,6035,3987,8083)(1940,6036,3988,8084)(1941,6037,3989,8085)(1942,6038,3990,8086)(1943,6039,3991,8087)(1944,6040,3992,8088)(1945,6041,3993,8089)(1946,6042,3994,8090)(1947,6043,3995,8091)(1948,6044,3996,8092)(1949,6045,3997,8093)(1950,6046,3998,8094)(1951,6047,3999,8095)(1952,6048,4000,8096)(1953,6049,4001,8097)(1954,6050,4002,8098)(1955,6051,4003,8099)(1956,6052,4004,8100)(1957,6053,4005,8101)(1958,6054,4006,8102)(1959,6055,4007,8103)(1960,6056,4008,8104)(1961,6057,4009,8105)(1962,6058,4010,8106)(1963,6059,4011,8107)(1964,6060,4012,8108)(1965,6061,4013,8109)(1966,6062,4014,8110)(1967,6063,4015,8111)(1968,6064,4016,8112)(1969,6065,4017,8113)(1970,6066,4018,8114)(1971,6067,4019,8115)(1972,6068,4020,8116)(1973,6069,4021,8117)(1974,6070,4022,8118)(1975,6071,4023,8119)(1976,6072,4024,8120)(1977,6073,4025,8121)(1978,6074,4026,8122)(1979,6075,4027,8123)(1980,6076,4028,8124)(1981,6077,4029,8125)(1982,6078,4030,8126)(1983,6079,4031,8127)(1984,6080,4032,8128)(1985,6081,4033,8129)(1986,6082,4034,8130)(1987,6083,4035,8131)(1988,6084,4036,8132)(1989,6085,4037,8133)(1990,6086,4038,8134)(1991,6087,4039,8135)(1992,6088,4040,8136)(1993,6089,4041,8137)(1994,6090,4042,8138)(1995,6091,4043,8139)(1996,6092,4044,8140)(1997,6093,4045,8141)(1998,6094,4046,8142)(1999,6095,4047,8143)(2000,6096,4048,8144)(2001,6097,4049,8145)(2002,6098,4050,8146)(2003,6099,4051,8147)(2004,6100,4052,8148)(2005,6101,4053,8149)(2006,6102,4054,8150)(2007,6103,4055,8151)(2008,6104,4056,8152)(2009,6105,4057,8153)(2010,6106,4058,8154)(2011,6107,4059,8155)(2012,6108,4060,8156)(2013,6109,4061,8157)(2014,6110,4062,8158)(2015,6111,4063,8159)(2016,6112,4064,8160)(2017,6113,4065,8161)(2018,6114,4066,8162)(2019,6115,4067,8163)(2020,6116,4068,8164)(2021,6117,4069,8165)(2022,6118,4070,8166)(2023,6119,4071,8167)(2024,6120,4072,8168)(2025,6121,4073,8169)(2026,6122,4074,8170)(2027,6123,4075,8171)(2028,6124,4076,8172)(2029,6125,4077,8173)(2030,6126,4078,8174)(2031,6127,4079,8175)(2032,6128,4080,8176)(2033,6129,4081,8177)(2034,6130,4082,8178)(2035,6131,4083,8179)(2036,6132,4084,8180)(2037,6133,4085,8181)(2038,6134,4086,8182)(2039,6135,4087,8183)(2040,6136,4088,8184)(2041,6137,4089,8185)(2042,6138,4090,8186)(2043,6139,4091,8187)(2044,6140,4092,8188)(2045,6141,4093,8189)(2046,6142,4094,8190)(2047,6143,4095,8191)(2048,6144,4096,8192)(8194,8195)
Polycyclic presentation:
2^13,3|a^2=m,b^2=cd,c^2=de,d^2=ef,e^2=fg,f^2=gh,g^2=hi,h^2=ij,i^2=jk,j^2=kl,k^2=lm,l^2=m,b^a=bc,c^a=cd,d^a=de,e^a=ef,f^a=fg,g^a=gh,h^a=hi,i^a=ij,j^a=jk,k^a=kl,l^a=lm,n^a=n^2
Conjugacy classes & character table
6147 conjugacy classes. The character table is too large to display.
Relationships
GAP
Past the SmallGroups library coverage — no SmallGroups id. Construct it from its polycyclic presentation:
gap> F := FreeGroup(IsSyllableWordsFamily, "a", "b", "c", "d", "e", "f", "g", "h", "i", "j", "k", "l", "m", "n");;
gap> coll := SingleCollector(F, [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3]);;
gap> SetPower(coll, 1, F.13);;
gap> SetPower(coll, 2, F.3*F.4);;
gap> SetPower(coll, 3, F.4*F.5);;
gap> SetPower(coll, 4, F.5*F.6);;
gap> SetPower(coll, 5, F.6*F.7);;
gap> SetPower(coll, 6, F.7*F.8);;
gap> SetPower(coll, 7, F.8*F.9);;
gap> SetPower(coll, 8, F.9*F.10);;
gap> SetPower(coll, 9, F.10*F.11);;
gap> SetPower(coll, 10, F.11*F.12);;
gap> SetPower(coll, 11, F.12*F.13);;
gap> SetPower(coll, 12, F.13);;
gap> SetConjugate(coll, 2, 1, F.2*F.3);;
gap> SetConjugate(coll, 3, 1, F.3*F.4);;
gap> SetConjugate(coll, 4, 1, F.4*F.5);;
gap> SetConjugate(coll, 5, 1, F.5*F.6);;
gap> SetConjugate(coll, 6, 1, F.6*F.7);;
gap> SetConjugate(coll, 7, 1, F.7*F.8);;
gap> SetConjugate(coll, 8, 1, F.8*F.9);;
gap> SetConjugate(coll, 9, 1, F.9*F.10);;
gap> SetConjugate(coll, 10, 1, F.10*F.11);;
gap> SetConjugate(coll, 11, 1, F.11*F.12);;
gap> SetConjugate(coll, 12, 1, F.12*F.13);;
gap> SetConjugate(coll, 14, 1, F.14^2);;
gap> UpdatePolycyclicCollector(coll);;
gap> G := GroupByRws(coll);
Finite Group Databasebeta