P2:=PermutationGroup<1782 | \[ 916, 1139, 1256, 1373, 1203, 1454, 7, 1740, 969, 1772, 753, 415, 1027, 1029, 301, 781, 1492, 1643, 1781, 156, 21, 857, 803, 655, 617, 763, 736, 163, 1008, 861, 1581, 662, 820, 34, 1112, 871, 435, 1105, 790, 885, 1264, 231, 1704, 509, 1565, 982, 345, 1437, 1224, 152, 814, 1199, 875, 80, 55, 746, 519, 207, 580, 1451, 1213, 802, 1312, 1294, 1639, 1431, 1273, 1392, 1634, 77, 952, 544, 419, 595, 371, 965, 70, 1341, 1196, 54, 212, 621, 1381, 1571, 1384, 1753, 1175, 500, 1770, 870, 1617, 1412, 210, 643, 1501, 1466, 630, 842, 1150, 718, 851, 216, 259, 305, 1078, 581, 1538, 1605, 254, 632, 1680, 1195, 593, 1057, 535, 1096, 332, 731, 243, 1509, 828, 159, 960, 679, 1291, 141, 664, 128, 453, 130, 950, 224, 1774, 1690, 1138, 1302, 1439, 585, 530, 575, 126, 780, 503, 1174, 322, 1368, 1506, 604, 640, 1190, 1210, 50, 153, 805, 1340, 20, 309, 1670, 122, 1304, 905, 420, 28, 485, 1275, 541, 1322, 1378, 373, 1706, 1557, 970, 675, 1771, 1638, 1118, 1435, 1219, 968, 992, 844, 891, 183, 1514, 794, 907, 1363, 1699, 1184, 317, 1569, 638, 1327, 1101, 858, 699, 1267, 1409, 273, 1556, 1464, 342, 1453, 702, 987, 1338, 58, 902, 742, 93, 1010, 81, 1729, 710, 1232, 102, 1060, 1748, 1131, 397, 1674, 1346, 1428, 132, 1691, 1776, 336, 232, 1574, 847, 42, 228, 826, 1626, 1744, 1545, 315, 474, 239, 801, 512, 1289, 119, 368, 245, 1062, 436, 396, 1747, 1560, 1358, 282, 949, 109, 429, 480, 1365, 737, 103, 372, 825, 599, 1185, 1497, 1011, 412, 1572, 722, 1128, 471, 1258, 614, 199, 450, 928, 1187, 476, 1462, 1023, 1705, 1542, 252, 1124, 292, 400, 1695, 647, 288, 1559, 727, 323, 284, 1457, 691, 573, 1426, 843, 1739, 1659, 1656, 15, 1757, 877, 1324, 104, 894, 1142, 528, 157, 1163, 1143, 333, 1474, 590, 237, 1555, 190, 1696, 1700, 422, 1398, 145, 291, 836, 1024, 848, 1270, 1145, 1671, 1194, 1678, 117, 312, 416, 525, 227, 387, 1632, 1211, 1767, 837, 202, 1673, 1152, 47, 1730, 919, 395, 560, 1290, 363, 1161, 879, 1169, 491, 1721, 1567, 1052, 959, 360, 890, 1091, 351, 606, 824, 1391, 739, 244, 927, 370, 75, 260, 169, 977, 482, 923, 1754, 1295, 1198, 1513, 592, 1552, 865, 672, 1604, 760, 337, 490, 531, 443, 937, 1517, 896, 1030, 348, 248, 220, 962, 684, 285, 1252, 1546, 1102, 1231, 1120, 1637, 470, 882, 1408, 978, 1669, 266, 432, 692, 12, 334, 958, 841, 73, 162, 866, 320, 931, 932, 1355, 1621, 1469, 1397, 255, 478, 549, 413, 1646, 1583, 37, 247, 677, 1735, 609, 631, 1508, 1612, 390, 557, 494, 545, 457, 1499, 449, 274, 1654, 683, 129, 912, 1547, 1530, 447, 1563, 1419, 539, 1679, 529, 798, 1147, 704, 1578, 897, 468, 1745, 407, 270, 472, 1415, 238, 591, 277, 484, 430, 481, 256, 479, 375, 1684, 477, 164, 1335, 1503, 1180, 1478, 388, 355, 492, 1370, 445, 714, 1249, 967, 1065, 1261, 88, 1266, 1012, 143, 1283, 1726, 818, 1025, 508, 44, 1531, 1075, 241, 1035, 799, 1500, 1416, 611, 574, 57, 1019, 521, 720, 649, 1685, 335, 1498, 665, 308, 462, 139, 389, 1480, 1382, 1292, 115, 876, 889, 1100, 460, 1385, 166, 1369, 1164, 72, 446,

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