G:= PermutationGroup<19684 | \[ 2, 1, 5, 7, 3, 10, 4, 12, 13, 6, 16, 8, 9, 20, 21, 11, 24, 25, 27, 14, 15, 31, 32, 17, 18, 36, 19, 38, 39, 41, 22, 23, 45, 46, 48, 26, 51, 28, 29, 55, 30, 57, 58, 60, 33, 34, 64, 35, 66, 67, 37, 70, 71, 73, 40, 76, 42, 43, 80, 44, 82, 83, 85, 47, 88, 49, 50, 92, 93, 52, 53, 97, 54, 99, 100, 56, 103, 104, 106, 59, 109, 61, 62, 113, 63, 115, 116, 65, 119, 120, 91, 68, 69, 125, 126, 128, 72, 131, 74, 75, 135, 136, 77, 78, 140, 79, 142, 143, 81, 146, 147, 149, 84, 152, 86, 87, 156, 157, 89, 90, 161, 162, 163, 165, 94, 95, 169, 96, 171, 172, 98, 175, 176, 178, 101, 102, 182, 183, 185, 105, 188, 107, 108, 192, 193, 110, 111, 197, 112, 170, 199, 114, 202, 203, 205, 117, 118, 209, 210, 212, 121, 122, 123, 217, 124, 219, 220, 222, 127, 150, 129, 130, 228, 229, 132, 133, 233, 134, 235, 236, 238, 137, 138, 242, 139, 244, 245, 141, 248, 249, 251, 144, 145, 255, 256, 258, 148, 261, 151, 264, 265, 153, 154, 269, 155, 271, 272, 274, 158, 159, 278, 160, 280, 281, 283, 285, 164, 288, 166, 167, 292, 168, 294, 295, 297, 298, 300, 173, 174, 304, 305, 307, 177, 310, 179, 180, 314, 181, 316, 317, 319, 184, 322, 186, 187, 326, 327, 189, 190, 331, 191, 333, 334, 336, 194, 195, 340, 196, 342, 343, 198, 346, 347, 200, 201, 351, 352, 354, 204, 357, 206, 207, 361, 208, 363, 364, 366, 211, 369, 213, 214, 373, 215, 375, 216, 377, 378, 218, 381, 382, 384, 221, 387, 223, 224, 391, 225, 226, 394, 227, 396, 397, 399, 230, 231, 403, 232, 405, 406, 234, 409, 410, 412, 237, 415, 239, 240, 419, 241, 421, 422, 243, 425, 426, 428, 246, 247, 432, 433, 435, 250, 438, 252, 253, 442, 254, 444, 445, 447, 257, 450, 259, 260, 454, 455, 262, 263, 459, 460, 462, 266, 267, 466, 268, 468, 356, 270, 471, 472, 474, 273, 477, 275, 276, 481, 277, 483, 484, 279, 487, 488, 490, 282, 493, 284, 496, 286, 287, 500, 501, 289, 290, 505, 291, 507, 508, 293, 511, 512, 514, 296, 517, 519, 299, 522, 301, 302, 526, 303, 528, 529, 531, 306, 534, 308, 309, 538, 539, 311, 312, 543, 313, 545, 546, 315, 549, 550, 552, 318, 555, 320, 321, 559, 560, 323, 324, 564, 325, 566, 567, 569, 328, 329, 573, 330, 575, 576, 332, 579, 580, 582, 335, 585, 337, 338, 589, 339, 591, 592, 341, 595, 596, 598, 344, 345, 602, 603, 605, 348, 349, 609, 350, 611, 612, 614, 353, 617, 355, 620, 621, 358, 359, 625, 360, 627, 628, 362, 631, 632, 634, 365, 637, 367, 368, 641, 642, 370, 371, 646, 372, 648, 649, 374, 652, 653, 376, 656, 657, 659, 379, 380, 663, 664, 666, 383, 669, 385, 386, 673, 674, 388, 389, 678, 390, 680, 681, 392, 684, 393, 686, 687, 395, 690, 691, 693, 398, 696, 400, 401, 700, 402, 702, 703, 404, 706, 707, 709, 407, 408, 713, 714, 716, 411, 719, 413, 414, 723, 724, 416, 417, 728, 418, 730, 731, 420, 734, 735, 737, 423, 424, 741, 742, 744, 427, 747, 429, 430, 751, 431, 753, 754, 756, 434, 759, 436, 437, 763, 764, 439, 440, 768, 441, 770, 771, 443, 774, 775, 777, 446, 780, 448, 449, 784, 785, 451, 452, 789, 453, 791, 792, 794, 456, 457, 798, 458, 800, 801, 803, 461, 806, 463, 464, 810, 465, 812, 813, 467, 816, 817, 469, 470, 821, 822, 824, 473, 827, 475, 476, 831, 832, 478, 479, 836, 480, 838, 839, 482, 842, 843, 845, 485, 486, 849, 850, 852, 489, 855, 491, 492, 859, 860, 494, 495, 864, 865, 497, 498, 869, 499, 871, 872, 874, 502, 503, 878, 504, 880, 881, 506, 884, 885, 887, 509, 510, 891, 892, 894, 513, 897, 515, 516, 901, 902, 518, 905, 520, 521, 909, 910, 523, 524, 914, 525, 916, 917, 527, 920, 921, 923, 530, 926, 532, 533, 930, 931, 535, 536, 935, 537, 937, 938, 940, 540, 541, 943, 542, 945, 946, 544, 949, 950, 952, 547, 548, 956, 957, 959, 551, 962, 553, 554, 966, 967, 556, 557, 971, 558, 973, 974, 976, 561, 562, 980, 563, 982, 983, 565, 986, 987, 989, 568, 991, 570, 571, 995, 572, 997, 998, 574, 1001, 1002, 1004, 577, 578, 1008, 1009, 1011, 581, 1014, 583, 584, 1018, 1019, 586, 587, 1023, 588, 1025, 1026, 590, 1029, 1030, 1032, 593, 594, 1036, 1037, 1039, 597, 1042, 599, 600, 1045, 601, 1047, 1048, 1050, 604, 1053, 606, 607, 1057, 608, 1059, 1060, 610, 1063, 1064, 1066, 613, 1069, 615, 616, 1073, 1074, 618, 619, 1078, 1079, 1081, 622, 623, 1084, 624, 1086, 1087, 626, 1090, 1091, 1093, 629, 630, 1097, 1098, 1100, 633, 1103, 635, 636, 1107, 1108, 638, 639, 1112, 640, 1114, 1115, 1117, 643, 644, 1121, 645, 1123, 1124, 647, 1126, 1127, 1129, 650, 651, 1133, 1134, 1136, 654, 655, 1140, 1141, 1143, 658, 1146, 660, 661, 1150, 662, 1152, 1153, 1154, 665, 1157, 667, 668, 1161, 1162, 670, 671, 1166, 672, 1168, 1169, 1171, 675, 676, 1175, 677, 1177, 1178, 679, 1181, 1182, 1184, 682, 683, 1188, 1189, 685, 1192, 1193, 1195, 688, 689, 1199, 1200, 1202, 692, 1205, 694, 695, 1209, 1210, 697, 698, 1213, 699, 1215, 1216, 701, 1218, 1219, 1221, 704, 705, 1225, 1226, 1228, 708, 1231, 710, 711, 1235, 712, 1237, 1238, 715, 1241, 717, 718, 1245, 1246, 720, 721, 1250, 722, 1252, 1253, 1255, 725, 726, 1259, 727, 1260, 1261, 729, 1264, 1265, 1267, 732, 733, 1271, 1272, 1274, 736, 1158, 738, 739, 1280, 740, 1282, 1214, 1284, 743, 1287, 745, 746, 1291, 1242, 748, 749, 1295, 750, 1297, 752, 1300, 1301, 1303, 755, 1306, 757, 758, 1310, 1311, 760, 761, 1315, 762, 1317, 1318, 1319, 765, 766, 1323, 767, 1325, 1326, 769, 1329, 1330, 1332, 772, 773, 1336, 1337, 1339, 776, 1342, 778, 779, 1346, 1347, 781, 782, 1351, 783, 1353, 1354, 1356, 786, 787, 1360, 788, 1362, 1363, 790, 1365, 1366, 793, 1369, 795, 796, 1373, 797, 1375, 1376, 799, 1379, 1380, 1382, 802, 1385, 804, 805, 1389, 1390, 807, 808, 1394, 809, 1396, 1397, 811, 1400, 1401, 1403, 814, 815, 1407, 1408, 1410, 818, 819, 1414, 820, 1416, 1417, 823, 1420, 825, 826, 1424, 1425, 828, 829, 1429, 830, 1431, 1432, 1434, 833, 834, 1438, 835, 1440, 1441, 837, 1444, 1445, 1447, 840, 841, 1451, 1452, 1454, 844, 1457, 846, 847, 1461, 848, 1463, 1464, 1466, 851, 1469, 853, 854, 1473, 856, 857, 1476, 858, 1478, 1479, 1481, 861, 862, 1485, 863, 1487, 1488, 1490, 866, 867, 1494, 868, 1496, 1497, 870, 1500, 1501, 1503, 873, 1506, 875, 876, 877, 1511, 1512, 879, 972, 1515, 1517, 882, 883, 1521, 1522, 1524, 886, 1527, 888, 889, 1531, 890, 1533, 1534, 1536, 893, 1539, 895, 896, 1543, 1544, 898, 899, 1548, 900, 1550, 1551, 1553, 903, 904, 1557, 1558, 906, 907, 1562, 908, 1564, 1565, 1567, 911, 912, 1570, 913, 1572, 1573, 915, 1576, 1577, 1579, 918, 919, 1583, 1584, 922, 978, 924, 925, 1590, 927, 928, 1594, 929, 1596, 1597, 1599, 932, 933, 1603, 934, 1605, 1606, 936, 1609, 1610, 1612, 939, 1615, 941, 942, 1619, 1620, 944, 985, 1623, 1625, 947, 948, 1629, 1630, 1632, 951, 1635, 953, 954, 1639, 955, 1641, 1642, 1644, 958, 960, 961, 1649, 1650, 963, 964, 1654, 965, 1656, 1657, 1659, 968, 969, 1663, 970, 1665, 1666, 1277, 1668, 1670, 975, 1673, 977, 1676, 979, 1678, 1679, 981, 1681, 1682, 1684, 984, 1687, 1688, 1690, 988, 1693, 990, 1696, 1697, 992, 993, 1701, 994, 1703, 1704, 996, 1707, 1578, 1708, 999, 1000, 1712, 1713, 1715, 1003, 1718, 1005, 1006, 1007, 1723, 1724, 1726, 1010, 1729, 1012, 1013, 1733, 1734, 1015, 1016, 1738, 1017, 1740, 1741, 1743, 1020, 1021, 1747, 1022, 1749, 1750, 1024, 1753, 1754, 1756, 1027, 1028, 1760, 1761, 1763, 1031, 1766, 1033, 1034, 1769, 1035, 1771, 1772, 1774, 1038, 1777, 1040, 1041, 1781, 1043, 1044, 1784, 1785, 1046, 1788, 1789, 1791, 1049, 1794, 1051, 1052, 1798, 1799, 1054, 1055, 1803, 1056, 1805, 1806, 1058, 1675, 1809, 1811, 1061, 1062, 1815, 1816, 1818, 1065, 1821, 1067, 1068, 1825, 1826, 1070, 1071, 1830, 1072, 1832, 1833, 1835, 1075, 1076, 1839, 1077, 1841, 1842, 1844, 1080, 1847, 1082, 1083, 1850, 1851, 1085, 1854, 1855, 1857, 1088, 1089, 1861, 1862, 1864, 1092, 1867, 1094, 1095, 1870, 1096, 1872, 1873, 1875, 1099, 1878, 1101, 1102, 1882, 1883, 1104, 1105, 1887, 1106, 1889, 1890, 1646, 1109, 1110, 1895, 1111, 1897, 1898, 1113, 1901, 1902, 1904, 1116, 1907, 1118, 1119, 1910, 1120, 1912, 1913, 1122, 1916, 1917, 1919, 1125, 1922, 1924, 1128, 1927, 1130, 1131, 1931, 1132, 1933, 1934, 1936, 1135, 1939, 1137, 1138, 1943, 1139, 1945, 1946, 1948, 1142, 1951, 1144, 1145, 1955, 1956, 1147, 1148, 1960, 1149, 1962, 1963, 1151, 1966, 1967, 1969, 1971, 1155, 1156, 1974, 1975, 1159, 1978, 1160, 1980, 1981, 1983, 1163, 1164, 1987, 1165, 1989, 1990, 1167, 1993, 1994, 1996, 1170, 1999, 1172, 1173, 2003, 1174, 2005, 2006, 1176, 2009, 2010, 2012, 1179, 1180, 2016, 2017, 2019, 1183, 2022, 1185, 1186, 2026, 1187, 2028, 2029, 2031, 1190, 1191, 2035, 2036, 2038, 1194, 1903, 1196, 1197, 2044, 1198, 2046, 2047, 1201, 2050, 1203, 1204, 2054, 2055, 1206, 1207, 1308, 1208, 2060, 2061, 2063, 1211, 1212, 2067, 2068, 2070, 2071, 1918, 1217, 2074, 2075, 2077, 1220, 2080, 1222, 1223, 2084, 1224, 2086, 2087, 2088, 1227, 2091, 1229, 1230, 2095, 2096, 1232, 1233, 2100, 1234, 2102, 2103, 1236, 2106, 2107, 2109, 1239, 1240, 2113, 2114, 1243, 2117, 1244, 2119, 2120, 2122, 1247, 1248, 2126, 1249, 2128, 2129, 1251, 2132, 2133, 2135, 1254, 2138, 1256, 1257, 2142, 1258, 2144, 1450, 2146, 2148, 1262, 1263, 2152, 2153, 2155, 1266, 2158, 1268, 1269, 2162, 1270, 2164, 2165, 2167, 1273, 2170, 1275, 1276, 2174, 1278, 2176, 1279, 2178, 2179, 1281, 2182, 1386, 1283, 2185, 1285, 1286, 2188, 1288, 1289, 2192, 1290, 2194, 2195, 1292, 1293, 2199, 1294, 1804, 2201, 1296, 2204, 2205, 1298, 1299, 2209, 1970, 2211, 1302, 2214, 1304, 1305, 2218, 2219, 1307, 1309, 2223, 2224, 2226, 1312, 1313, 2230, 1314, 2232, 2233, 1316, 2236, 2237, 2239, 2241, 1320, 1321, 2245, 1322, 2247, 2248, 1324, 2251, 2252, 2254, 1327, 1328, 1790, 2257, 2259, 1331, 2262, 1333, 1334, 2266, 1335, 2268, 2269, 2271, 1338, 2274, 1340, 1341, 2278, 2279, 1343, 1344, 2283, 1345, 2285, 2286, 2288, 1348, 1349, 2292, 1350, 2294, 2295, 1352, 2298, 2299, 1355, 2302, 1357, 1358, 2306, 1359, 2308, 2309, 1361, 2312, 2313, 2315, 1364, 2318, 2320, 1367, 1368, 2324, 2325, 1370, 1371, 1735, 1372, 2330, 2331, 1374, 2334, 2335, 2337, 1377, 1378, 2341, 2342, 2344, 1381, 1691, 1383, 1384, 2350, 2351, 1387, 2354, 1388, 2356, 2357, 2359, 1391, 1392, 2363, 1393, 2365, 2366, 1395, 2369, 2370, 2372, 1398, 1399, 2375, 2376, 2378, 1402, 2381, 1404, 1405, 2385, 1406, 2387, 2388, 2390, 1409, 2393, 1411, 1412, 2397, 1413, 2399, 2400, 1415, 2403, 2404, 1418, 1419, 2408, 2409, 1421, 1422, 2413, 1423, 2415, 2416, 2418, 1426, 1427, 2291, 1428, 2423, 2424, 1430, 2426, 2428, 1433, 2431, 1435, 1436, 2435, 1437, 2437, 2438, 1439, 2441, 2442, 2444, 1442, 1443, 2448, 2449, 2451, 1446, 2454, 1448, 1449, 2458, 2459, 2460, 2462, 1453, 2465, 1455, 1456, 2450, 2468, 1458, 1459, 1563, 1460, 2473, 2474, 1462, 2477, 2479, 1465, 2482, 1467, 1468, 2486, 2487, 1470, 1471, 1589, 1472, 2492, 2493, 1474, 2496, 1475, 2498, 2499, 1477, 2502, 2503, 2505, 1480, 2506, 1482, 1483, 2510, 1484, 2512, 2513, 1486, 2516, 2517, 2519, 1489, 2522, 1491, 1492, 2526, 1493, 2528, 2529, 1495, 2532, 2533, 2535, 1498, 1499, 2539, 2540, 2542, 1502, 2545, 1504, 1505, 2549, 2550, 1507, 1508, 2553, 1509, 1699, 1510, 2556, 2557, 1513, 1514, 2561, 2562, 1516, 2565, 1518, 1519, 2569, 1520, 2571, 2572, 2574, 1523, 2577, 1525, 1526, 2581, 2582, 1528, 1529, 2586, 1530, 2588, 2589, 1532, 2592, 2593, 2595, 1535, 2598, 1537, 1538, 2602, 2603, 1540, 1541, 2607, 1542, 2609, 2610, 2612, 1545, 1546, 2616, 1547, 2618, 2619, 1549, 2622, 2623, 2514, 1552, 2137, 1554, 1555, 2630, 1556, 2632, 2633, 2635, 1559, 1560, 2141, 1561, 2640, 2641, 2643, 2644, 2646, 1566, 2648, 1568, 1569, 2652, 2653, 1571, 2656, 2657, 2659, 1574, 1575, 2663, 2664, 2666, 2668, 1580, 1581, 2671, 1582, 2673, 2065, 2675, 1585, 1586, 2679, 1587, 1588, 2682, 2683, 1591, 1592, 2686, 1593, 2688, 2689, 1595, 2692, 2693, 2695, 1598, 2698, 1600, 1601, 1602, 2703, 2704, 1604, 2707, 2708, 2710, 1607, 1608, 2714, 2715, 2717, 1611, 2720, 1613, 1614, 2724, 2725, 1616, 1617, 2729, 1618, 2731, 2732, 2734, 1621, 1622, 2738, 2739, 1624, 2742, 1626, 1627, 2746, 1628, 2748, 2749, 2751, 1631, 2754, 1633, 1634, 2758, 2759, 1636, 1637, 2763, 1638, 2765, 2027, 1640, 2768, 2769, 2037, 1643, 2773, 1645, 2776, 1647, 2778, 1648, 2780, 2781, 2783, 1651, 1652, 2787, 1653, 2789, 2790, 1655, 2793, 2794, 2796, 1658, 2799, 1660, 1661, 2803, 1662, 2805, 2190, 1664, 2808, 2809, 2811, 1667, 2814, 1669, 2817, 1671, 1672, 2821, 2822, 1674, 2825, 2826, 1677, 2829, 2830, 1680, 2833, 2169, 2835, 1683, 2837, 1685, 1686, 2840, 2841, 2843, 1689, 2845, 1692, 2848, 2849, 1694, 1695, 2853, 2854, 2856, 1698, 2859, 1700, 2861, 2862, 1702, 2865, 2611, 2867, 1705, 1706, 2871, 2872, 2874, 1709, 1710, 2878, 1711, 2880, 2881, 2883, 1714, 2886, 1716, 1717, 2890, 2891, 1719, 1720, 2895, 1721, 2651, 1722, 2898, 2899, 2901, 1725, 2903, 1727, 1728, 2907, 2908, 1730, 1731, 2912, 1732, 2914, 2916, 1736, 2919, 1737, 2921, 2922, 1739, 2925, 2926, 2928, 1742, 2931, 1744, 1745, 2935, 1746, 2937, 2938, 1748, 2941, 2942, 2944, 1751, 1752, 2948, 2949, 2951, 1755, 2954, 1757, 1758, 2590, 1759, 2959, 2960, 1863, 1762, 2964, 1764, 1765, 2968, 2969, 1767, 1768, 2973, 2782, 1770, 2975, 2976, 2978, 1773, 2981, 1775, 1776, 2985, 2986, 1778, 1779, 2990, 1780, 2992, 2993, 1782, 2996, 1783, 2998, 2999, 2863, 1786, 1787, 3003, 3004, 3006, 3008, 1792, 1793, 3012, 3013, 1795, 1796, 3017, 1797, 3019, 3020, 3022, 1800, 1801, 3026, 1802, 3028, 3029, 3031, 3032, 3034, 1807, 1808, 3038, 3039, 1810, 2900, 1812, 1813, 3043, 1814, 3045, 3046, 3048, 1817, 3051, 1819, 1820, 3055, 3056, 1822, 1823, 3060, 1824, 3062, 3063, 1827, 1828, 2429, 1829, 3068, 3069, 1831, 3072, 3073, 3075, 1834, 3078, 1836, 1837, 3082, 1838, 3084, 3085, 1840, 3088, 3089, 3091, 1843, 3093, 1845, 1846, 3097, 3098, 1848, 1849, 3102, 3103, 3105, 1852, 1853, 3109, 3110, 3112, 1856, 3015, 1858, 1859, 3092, 1860, 3118, 3119, 3121, 3123, 1865, 1866, 2917, 1868, 3129, 1869, 2377, 3130, 1871, 3133, 3002, 2705, 1874, 3136, 1876, 1877, 2626, 3139, 1879, 1880, 3143, 1881, 3145, 3146, 3147, 1884, 1885, 1899, 1886, 3152, 3153, 1888, 3156, 3157, 3159, 1891, 1892, 1893, 3164, 1894, 3166, 3167, 1896, 3170, 3171, 1900, 3174, 3175, 3177, 3179, 1905, 1906, 3182, 3183, 1908, 3186, 1909, 3188, 3189, 1911, 3192, 3193, 3195, 1914, 1915, 3199, 3200, 3202, 3204, 1920, 1921, 3208, 3209, 1923, 3212, 1925, 1926, 3216, 3217, 1928, 1929, 3221, 1930, 1932, 3224, 3225, 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