Group : O'Nan

Order : 460,815,505,920

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Total number of polytopes of rank three : 6536

Number of polytopes of rank 3 : 6536

Polytopes References
[ 3 , 8 ] [ 30, 37 ]
[ 3 , 11 ] [ 9, 24, 32 ]
[ 3 , 14 ] [ 22 ]
[ 3 , 15 ] [ 2, 3, 5, 13, 28 ]
[ 3 , 16 ] [ 6, 10, 11, 12, 14, 18, 20, 25, 33, 36 ]
[ 3 , 19 ] [ 4, 8, 15, 16, 17, 19, 23, 26, 27, 31, 34, 35, 38, 39 ]
[ 3 , 28 ] [ 1, 7, 21, 29 ]
[ 4 , 7 ] [ 126 ]
[ 4 , 8 ] [ 40, 80, 86, 106, 139, 140 ]
[ 4 , 10 ] [ 79, 87, 97, 113, 121 ]
[ 4 , 11 ] [ 45, 55, 57, 72, 73, 89, 92, 104, 117, 124, 125, 133, 137, 141, 149 ]
[ 4 , 12 ] [ 59, 61, 100, 120, 131 ]
[ 4 , 14 ] [ 85, 96, 147 ]
[ 4 , 15 ] [ 52, 53, 54, 68, 75, 81, 83, 110, 118, 144, 145, 150 ]
[ 4 , 16 ] [ 41, 42, 43, 44, 46, 48, 51, 56, 58, 65, 66, 70, 71, 76, 82, 84, 88, 91, 93, 98, 99, 101, 102, 105, 107, 108, 112, 115, 127, 128, 135, 136, 143, 146, 148, 152 ]
[ 4 , 19 ] [ 47, 49, 50, 62, 63, 67, 74, 77, 78, 90, 95, 103, 109, 111, 119, 123, 132, 138, 151, 153 ]
[ 4 , 28 ] [ 60, 64, 69, 94, 114, 116, 122, 129, 130, 134, 142 ]
[ 5 , 5 ] [ 202 ]
[ 5 , 6 ] [ 159, 218, 263, 336 ]
[ 5 , 7 ] [ 286 ]
[ 5 , 8 ] [ 155, 166, 183, 207, 222, 223, 232, 233, 234, 267, 273, 278, 279, 282, 288, 290, 297, 314 ]
[ 5 , 10 ] [ 185, 208, 246, 261, 281 ]
[ 5 , 11 ] [ 162, 186, 200, 236, 255, 260, 269, 284, 308, 337, 340 ]
[ 5 , 12 ] [ 168, 178, 190, 198, 231, 239, 241, 249, 251, 264, 277, 285, 305 ]
[ 5 , 14 ] [ 156, 163, 182, 195, 238, 256, 270, 272, 291, 304, 317, 320, 326 ]
[ 5 , 15 ] [ 165, 177, 211, 214, 248, 254, 262, 268, 271, 274, 276, 283, 293, 294, 298, 301, 322, 327, 328, 329, 334 ]
[ 5 , 16 ] [ 154, 157, 160, 161, 164, 169, 171, 173, 175, 176, 181, 188, 194, 197, 199, 205, 212, 213, 216, 219, 220, 221, 229, 235, 237, 240, 242, 243, 247, 252, 265, 266, 289, 292, 302, 306, 307, 315, 318, 321, 330, 331, 332, 333, 338, 339 ]
[ 5 , 19 ] [ 158, 172, 174, 179, 187, 192, 193, 196, 201, 203, 206, 209, 210, 224, 228, 230, 244, 250, 253, 258, 275, 280, 287, 296, 309, 313, 319, 323, 324, 325 ]
[ 5 , 28 ] [ 167, 170, 180, 184, 189, 191, 204, 215, 217, 225, 226, 227, 245, 257, 259, 295, 299, 300, 303, 310, 311, 312, 316, 335 ]
[ 6 , 6 ] [ 369, 467, 491, 517 ]
[ 6 , 7 ] [ 355, 411, 447, 622 ]
[ 6 , 8 ] [ 352, 353, 363, 379, 392, 406, 442, 454, 461, 463, 484, 503, 506, 507, 523, 529, 586, 617, 630, 650, 657, 667, 684, 687, 706, 716, 733, 758 ]
[ 6 , 10 ] [ 351, 434, 480, 493, 514, 552, 571, 573, 583, 593, 603, 711, 728 ]
[ 6 , 11 ] [ 345, 366, 375, 388, 391, 400, 408, 437, 441, 459, 465, 482, 485, 487, 525, 541, 542, 556, 559, 618, 624, 625, 659, 675, 685, 692, 701, 724, 734, 742, 754 ]
[ 6 , 12 ] [ 386, 457, 481, 509, 516, 521, 533, 544, 545, 550, 576, 590, 595, 597, 600, 601, 606, 611, 619, 648, 666, 671, 697, 709, 740, 760 ]
[ 6 , 14 ] [ 374, 378, 403, 424, 445, 460, 464, 489, 492, 524, 570, 584, 598, 613, 614, 627, 649, 668, 689, 717, 729, 748, 750, 765 ]
[ 6 , 15 ] [ 341, 354, 359, 364, 370, 376, 381, 393, 399, 416, 420, 431, 435, 440, 446, 450, 452, 453, 469, 475, 477, 478, 488, 499, 505, 520, 530, 531, 532, 537, 538, 551, 553, 561, 567, 572, 579, 591, 592, 616, 626, 635, 640, 641, 642, 643, 646, 651, 652, 661, 672, 674, 704, 712, 713, 719, 721, 725, 726, 730, 735, 745, 755, 757, 764 ]
[ 6 , 16 ] [ 342, 343, 347, 349, 356, 358, 362, 365, 372, 373, 377, 384, 390, 396, 398, 401, 410, 417, 419, 425, 426, 427, 428, 429, 430, 438, 439, 443, 444, 451, 455, 466, 468, 472, 476, 486, 494, 496, 501, 502, 504, 508, 513, 518, 522, 526, 528, 535, 536, 543, 547, 548, 549, 555, 558, 560, 564, 565, 566, 575, 580, 587, 589, 594, 599, 608, 609, 610, 628, 631, 633, 636, 638, 644, 647, 653, 664, 670, 673, 676, 678, 679, 680, 681, 686, 691, 693, 694, 695, 696, 705, 708, 715, 720, 722, 727, 737, 738, 743, 746, 747, 751, 752, 759, 762, 763 ]
[ 6 , 19 ] [ 344, 346, 348, 361, 368, 371, 380, 383, 387, 389, 394, 395, 402, 407, 413, 414, 418, 422, 433, 436, 448, 449, 456, 462, 471, 473, 474, 483, 495, 497, 498, 500, 512, 515, 519, 527, 546, 569, 577, 582, 585, 588, 596, 602, 607, 612, 615, 620, 623, 629, 632, 637, 639, 645, 654, 656, 658, 660, 662, 663, 669, 677, 682, 683, 688, 698, 700, 703, 707, 710, 714, 723, 736, 744, 749, 756 ]
[ 6 , 28 ] [ 350, 357, 360, 367, 382, 385, 397, 404, 405, 409, 412, 415, 421, 423, 432, 458, 470, 479, 490, 510, 511, 534, 539, 540, 554, 557, 562, 563, 568, 574, 578, 581, 604, 605, 621, 634, 655, 665, 690, 699, 702, 718, 731, 732, 739, 741, 753, 761 ]
[ 7 , 7 ] [ 831 ]
[ 7 , 8 ] [ 783, 789, 808, 817, 832, 848, 855, 857, 859, 863, 869, 874, 901, 904 ]
[ 7 , 10 ] [ 809, 826, 893 ]
[ 7 , 11 ] [ 814, 815, 821, 825, 833, 838, 866, 886 ]
[ 7 , 12 ] [ 788, 806, 818, 834, 842, 846, 853, 871, 882, 905 ]
[ 7 , 14 ] [ 766, 843, 861, 879 ]
[ 7 , 15 ] [ 767, 770, 773, 776, 777, 786, 790, 795, 796, 804, 822, 840, 847, 860, 865, 868, 873, 875, 884, 888, 891 ]
[ 7 , 16 ] [ 774, 775, 782, 785, 787, 791, 792, 793, 794, 799, 802, 803, 807, 811, 813, 819, 827, 829, 837, 845, 849, 850, 856, 858, 876, 880, 883, 890, 894, 895, 896, 900, 902, 908 ]
[ 7 , 19 ] [ 768, 769, 771, 778, 779, 780, 781, 797, 805, 812, 820, 824, 828, 830, 835, 836, 844, 851, 852, 854, 862, 867, 877, 887, 899, 907, 909, 910, 911, 912 ]
[ 7 , 28 ] [ 772, 784, 798, 800, 801, 810, 816, 823, 839, 841, 864, 870, 872, 878, 881, 885, 889, 892, 897, 898, 903, 906 ]
[ 8 , 8 ] [ 914, 927, 932, 941, 943, 964, 974, 976, 978, 991, 995, 1004, 1029, 1040, 1056, 1082, 1096, 1113, 1123, 1130, 1131, 1136, 1150, 1158, 1164, 1174, 1198, 1199, 1206, 1208, 1222, 1231, 1236, 1248, 1252, 1294, 1337, 1359, 1407, 1410, 1411, 1590, 1606 ]
[ 8 , 10 ] [ 965, 999, 1009, 1039, 1075, 1114, 1115, 1197, 1200, 1223, 1258, 1290, 1327, 1335, 1361, 1367, 1370, 1420, 1430, 1443, 1448, 1457, 1510, 1512, 1513, 1526, 1531, 1532, 1616, 1659, 1663, 1698, 1711, 1748 ]
[ 8 , 11 ] [ 918, 921, 949, 963, 966, 970, 973, 1000, 1003, 1008, 1017, 1018, 1034, 1038, 1061, 1062, 1090, 1118, 1151, 1163, 1185, 1212, 1221, 1245, 1262, 1272, 1289, 1292, 1306, 1314, 1319, 1320, 1321, 1329, 1351, 1360, 1362, 1378, 1408, 1419, 1425, 1433, 1436, 1450, 1452, 1453, 1471, 1472, 1507, 1514, 1543, 1549, 1552, 1559, 1566, 1574, 1576, 1579, 1587, 1619, 1629, 1632, 1637, 1641, 1642, 1661, 1677, 1716, 1718, 1723, 1725, 1726, 1763, 1767 ]
[ 8 , 12 ] [ 948, 954, 960, 969, 993, 1013, 1033, 1041, 1043, 1046, 1058, 1064, 1097, 1101, 1139, 1157, 1181, 1196, 1211, 1233, 1242, 1260, 1276, 1300, 1307, 1311, 1363, 1365, 1366, 1406, 1424, 1431, 1438, 1476, 1486, 1494, 1562, 1570, 1653, 1667, 1678, 1705, 1720, 1724, 1753, 1754, 1762, 1770, 1781, 1783 ]
[ 8 , 14 ] [ 926, 931, 951, 977, 982, 986, 994, 1002, 1063, 1076, 1081, 1095, 1098, 1120, 1126, 1133, 1135, 1226, 1232, 1256, 1267, 1274, 1355, 1364, 1374, 1379, 1393, 1429, 1485, 1491, 1515, 1527, 1528, 1536, 1544, 1553, 1583, 1589, 1596, 1628, 1635, 1636, 1679, 1690, 1691, 1699, 1740, 1756 ]
[ 8 , 15 ] [ 933, 935, 937, 945, 946, 947, 956, 962, 988, 996, 998, 1010, 1011, 1014, 1021, 1027, 1028, 1035, 1037, 1045, 1054, 1055, 1065, 1067, 1073, 1078, 1084, 1087, 1093, 1105, 1109, 1140, 1141, 1165, 1167, 1170, 1179, 1180, 1188, 1202, 1213, 1216, 1217, 1227, 1240, 1250, 1278, 1280, 1281, 1286, 1288, 1299, 1312, 1317, 1322, 1324, 1328, 1336, 1338, 1343, 1352, 1353, 1354, 1373, 1376, 1377, 1382, 1388, 1392, 1395, 1404, 1409, 1437, 1439, 1446, 1455, 1475, 1477, 1478, 1484, 1487, 1488, 1496, 1499, 1511, 1520, 1523, 1524, 1525, 1530, 1533, 1535, 1537, 1539, 1551, 1560, 1568, 1575, 1585, 1586, 1597, 1603, 1604, 1610, 1615, 1617, 1631, 1643, 1645, 1650, 1651, 1674, 1688, 1697, 1700, 1712, 1717, 1722, 1727, 1730, 1731, 1735, 1744, 1745, 1760, 1769, 1772, 1778, 1784, 1792 ]
[ 8 , 16 ] [ 913, 916, 919, 920, 924, 925, 930, 938, 940, 944, 950, 952, 957, 958, 959, 968, 971, 979, 980, 981, 983, 985, 992, 997, 1005, 1007, 1012, 1019, 1024, 1026, 1031, 1047, 1050, 1051, 1066, 1068, 1071, 1072, 1085, 1086, 1088, 1089, 1091, 1094, 1103, 1104, 1106, 1107, 1108, 1110, 1116, 1121, 1125, 1127, 1134, 1137, 1138, 1144, 1146, 1155, 1156, 1159, 1161, 1168, 1171, 1173, 1175, 1178, 1186, 1190, 1191, 1192, 1193, 1194, 1195, 1201, 1207, 1209, 1210, 1214, 1215, 1218, 1219, 1220, 1225, 1229, 1237, 1239, 1241, 1243, 1249, 1251, 1253, 1254, 1259, 1261, 1265, 1269, 1270, 1271, 1275, 1283, 1285, 1291, 1293, 1297, 1301, 1304, 1310, 1313, 1330, 1331, 1333, 1341, 1342, 1345, 1346, 1347, 1348, 1349, 1356, 1357, 1368, 1371, 1372, 1375, 1380, 1385, 1386, 1390, 1397, 1400, 1401, 1403, 1405, 1413, 1416, 1417, 1418, 1421, 1432, 1440, 1441, 1442, 1444, 1445, 1447, 1454, 1459, 1460, 1465, 1466, 1473, 1474, 1479, 1483, 1493, 1495, 1500, 1502, 1503, 1504, 1506, 1509, 1516, 1519, 1521, 1522, 1529, 1538, 1545, 1546, 1547, 1548, 1555, 1556, 1557, 1558, 1561, 1563, 1564, 1572, 1577, 1578, 1588, 1598, 1602, 1605, 1607, 1608, 1612, 1620, 1622, 1627, 1638, 1639, 1640, 1649, 1654, 1655, 1657, 1662, 1664, 1670, 1672, 1676, 1683, 1684, 1686, 1694, 1696, 1706, 1714, 1732, 1733, 1734, 1738, 1742, 1743, 1746, 1749, 1750, 1764, 1765, 1766, 1768, 1773, 1774, 1775, 1779, 1786, 1789, 1790, 1795 ]
[ 8 , 19 ] [ 917, 928, 929, 934, 939, 942, 953, 955, 961, 967, 972, 975, 990, 1001, 1006, 1023, 1032, 1042, 1044, 1048, 1052, 1053, 1057, 1060, 1069, 1070, 1092, 1099, 1119, 1124, 1129, 1142, 1145, 1148, 1149, 1152, 1153, 1154, 1160, 1166, 1169, 1172, 1176, 1177, 1182, 1183, 1187, 1189, 1205, 1224, 1228, 1234, 1238, 1246, 1247, 1255, 1257, 1263, 1264, 1266, 1268, 1273, 1282, 1298, 1302, 1303, 1308, 1315, 1318, 1325, 1326, 1334, 1339, 1340, 1381, 1391, 1398, 1399, 1402, 1412, 1414, 1415, 1423, 1428, 1435, 1449, 1458, 1461, 1462, 1463, 1464, 1467, 1480, 1481, 1482, 1490, 1501, 1505, 1508, 1517, 1534, 1540, 1541, 1550, 1554, 1565, 1567, 1573, 1581, 1584, 1592, 1593, 1595, 1599, 1600, 1601, 1609, 1611, 1614, 1618, 1623, 1625, 1630, 1633, 1634, 1644, 1647, 1656, 1669, 1671, 1673, 1675, 1680, 1681, 1682, 1687, 1692, 1693, 1695, 1702, 1709, 1710, 1715, 1719, 1721, 1736, 1739, 1741, 1747, 1755, 1757, 1758, 1759, 1761, 1771, 1780, 1782, 1785, 1787, 1794 ]
[ 8 , 28 ] [ 915, 922, 923, 936, 984, 987, 989, 1015, 1016, 1020, 1022, 1025, 1030, 1036, 1049, 1059, 1074, 1077, 1079, 1080, 1083, 1100, 1102, 1111, 1112, 1117, 1122, 1128, 1132, 1143, 1147, 1162, 1184, 1203, 1204, 1230, 1235, 1244, 1277, 1279, 1284, 1287, 1295, 1296, 1305, 1309, 1316, 1323, 1332, 1344, 1350, 1358, 1369, 1383, 1384, 1387, 1389, 1394, 1396, 1422, 1426, 1427, 1434, 1451, 1456, 1468, 1469, 1470, 1489, 1492, 1497, 1498, 1518, 1542, 1569, 1571, 1580, 1582, 1591, 1594, 1613, 1621, 1624, 1626, 1646, 1648, 1652, 1658, 1660, 1665, 1666, 1668, 1685, 1689, 1701, 1703, 1704, 1707, 1708, 1713, 1728, 1729, 1737, 1751, 1752, 1776, 1777, 1788, 1791, 1793 ]
[ 10 , 10 ] [ 1809, 1810, 1840, 1855, 1861, 1937, 1952, 2064 ]
[ 10 , 11 ] [ 1797, 1847, 1882, 1894, 1917, 1920, 1923, 1932, 1939, 1966, 1970, 1971, 1975, 1996, 2006, 2007, 2019, 2031, 2033, 2037, 2089, 2091, 2096, 2102, 2125, 2127 ]
[ 10 , 12 ] [ 1823, 1825, 1843, 1850, 1857, 1868, 1869, 1902, 1912, 1924, 1946, 1955, 1957, 1988, 1990, 2016, 2017, 2018, 2023, 2049, 2079, 2110, 2112, 2114, 2121 ]
[ 10 , 14 ] [ 1822, 1838, 1864, 1872, 1874, 1880, 1898, 1907, 1918, 1919, 1964, 1974, 2001, 2015, 2027, 2035, 2047, 2052, 2058, 2062, 2081, 2092 ]
[ 10 , 15 ] [ 1800, 1802, 1803, 1815, 1826, 1829, 1831, 1835, 1842, 1848, 1851, 1856, 1862, 1867, 1871, 1875, 1877, 1883, 1885, 1888, 1895, 1897, 1905, 1925, 1933, 1941, 1942, 1948, 1958, 1960, 1961, 1967, 1973, 1979, 1980, 1991, 1998, 2029, 2034, 2048, 2050, 2053, 2055, 2069, 2076, 2088, 2097, 2115, 2118 ]
[ 10 , 16 ] [ 1798, 1801, 1804, 1808, 1811, 1812, 1813, 1814, 1817, 1833, 1834, 1836, 1837, 1839, 1841, 1844, 1852, 1881, 1886, 1887, 1892, 1899, 1901, 1903, 1908, 1911, 1921, 1926, 1927, 1928, 1929, 1930, 1931, 1934, 1935, 1938, 1944, 1945, 1949, 1950, 1954, 1959, 1963, 1968, 1969, 1972, 1977, 1978, 1981, 1983, 1986, 1987, 1994, 2000, 2002, 2003, 2004, 2010, 2013, 2014, 2021, 2026, 2030, 2036, 2040, 2041, 2042, 2044, 2045, 2051, 2054, 2056, 2057, 2059, 2060, 2063, 2065, 2066, 2068, 2072, 2074, 2078, 2082, 2083, 2084, 2086, 2094, 2098, 2104, 2105, 2107, 2109, 2111, 2116, 2120, 2123, 2124, 2128 ]
[ 10 , 19 ] [ 1796, 1807, 1818, 1820, 1827, 1830, 1832, 1846, 1853, 1854, 1858, 1859, 1860, 1863, 1866, 1873, 1878, 1879, 1889, 1893, 1904, 1906, 1909, 1913, 1947, 1951, 1953, 1962, 1976, 1982, 1984, 1985, 1989, 1992, 1993, 1997, 1999, 2008, 2009, 2011, 2012, 2024, 2025, 2028, 2032, 2046, 2061, 2071, 2073, 2077, 2080, 2085, 2090, 2093, 2101, 2103, 2106, 2113, 2117, 2122, 2126 ]
[ 10 , 28 ] [ 1799, 1805, 1806, 1816, 1819, 1821, 1824, 1828, 1845, 1849, 1865, 1870, 1876, 1884, 1890, 1891, 1896, 1900, 1910, 1914, 1915, 1916, 1922, 1936, 1940, 1943, 1956, 1965, 1995, 2005, 2020, 2022, 2038, 2039, 2043, 2067, 2070, 2075, 2087, 2095, 2099, 2100, 2108, 2119 ]
[ 11 , 11 ] [ 2159, 2161, 2162, 2181, 2183, 2184, 2189, 2198, 2202, 2206, 2207, 2240, 2260, 2261, 2263, 2273, 2285, 2286, 2394, 2409, 2441, 2447, 2454, 2460, 2541, 2543, 2555, 2574, 2592, 2609, 2629, 2708, 2718, 2747, 2784 ]
[ 11 , 12 ] [ 2148, 2165, 2203, 2209, 2231, 2250, 2253, 2259, 2279, 2297, 2340, 2343, 2345, 2398, 2400, 2403, 2407, 2419, 2430, 2433, 2435, 2436, 2437, 2446, 2465, 2495, 2513, 2520, 2538, 2557, 2577, 2594, 2596, 2598, 2605, 2607, 2618, 2719, 2733, 2762, 2763, 2770, 2787 ]
[ 11 , 14 ] [ 2146, 2149, 2152, 2157, 2175, 2191, 2192, 2204, 2225, 2243, 2257, 2265, 2268, 2288, 2307, 2323, 2344, 2416, 2424, 2450, 2455, 2481, 2505, 2519, 2522, 2528, 2586, 2587, 2590, 2603, 2628, 2630, 2632, 2635, 2647, 2666, 2668, 2672, 2678, 2699, 2701, 2706, 2736, 2798 ]
[ 11 , 15 ] [ 2136, 2140, 2144, 2163, 2169, 2173, 2180, 2182, 2199, 2212, 2222, 2223, 2229, 2239, 2245, 2247, 2248, 2251, 2258, 2271, 2272, 2282, 2287, 2301, 2303, 2310, 2312, 2314, 2327, 2331, 2332, 2338, 2346, 2349, 2353, 2361, 2365, 2368, 2374, 2376, 2382, 2384, 2385, 2386, 2390, 2391, 2395, 2397, 2418, 2420, 2425, 2427, 2431, 2439, 2442, 2443, 2451, 2456, 2458, 2459, 2462, 2464, 2475, 2487, 2507, 2523, 2532, 2533, 2535, 2549, 2551, 2556, 2560, 2566, 2568, 2581, 2599, 2624, 2633, 2644, 2649, 2658, 2660, 2662, 2669, 2677, 2686, 2702, 2707, 2717, 2721, 2723, 2725, 2727, 2732, 2741, 2757, 2764, 2765, 2772, 2773, 2783, 2785, 2788, 2797 ]
[ 11 , 16 ] [ 2129, 2130, 2131, 2132, 2133, 2138, 2141, 2142, 2153, 2154, 2155, 2158, 2160, 2168, 2171, 2172, 2176, 2186, 2187, 2195, 2196, 2197, 2200, 2210, 2211, 2213, 2220, 2221, 2224, 2226, 2230, 2233, 2238, 2241, 2252, 2254, 2255, 2256, 2262, 2264, 2266, 2267, 2270, 2280, 2284, 2289, 2291, 2293, 2294, 2300, 2305, 2308, 2313, 2315, 2319, 2320, 2322, 2328, 2333, 2335, 2336, 2337, 2339, 2341, 2348, 2351, 2354, 2356, 2357, 2359, 2360, 2363, 2366, 2367, 2370, 2371, 2372, 2373, 2375, 2377, 2379, 2380, 2383, 2393, 2399, 2402, 2406, 2408, 2411, 2417, 2421, 2422, 2426, 2428, 2434, 2444, 2445, 2448, 2453, 2457, 2461, 2463, 2466, 2467, 2468, 2470, 2474, 2476, 2477, 2482, 2484, 2486, 2488, 2491, 2492, 2494, 2496, 2499, 2500, 2506, 2508, 2509, 2511, 2521, 2527, 2529, 2530, 2531, 2534, 2539, 2540, 2542, 2544, 2545, 2552, 2553, 2558, 2561, 2562, 2565, 2570, 2573, 2576, 2578, 2580, 2582, 2583, 2589, 2597, 2600, 2602, 2604, 2608, 2610, 2612, 2613, 2614, 2615, 2620, 2622, 2625, 2626, 2627, 2631, 2636, 2642, 2643, 2648, 2650, 2652, 2653, 2654, 2655, 2656, 2659, 2661, 2665, 2670, 2679, 2680, 2682, 2683, 2685, 2687, 2688, 2690, 2695, 2697, 2698, 2700, 2704, 2711, 2713, 2716, 2722, 2728, 2731, 2735, 2737, 2739, 2742, 2749, 2751, 2752, 2753, 2754, 2758, 2759, 2760, 2761, 2768, 2769, 2771, 2775, 2778, 2789, 2791, 2792, 2793, 2800 ]
[ 11 , 19 ] [ 2134, 2137, 2143, 2147, 2150, 2151, 2166, 2178, 2188, 2193, 2194, 2201, 2205, 2208, 2215, 2216, 2217, 2218, 2219, 2227, 2232, 2234, 2236, 2242, 2269, 2274, 2276, 2277, 2283, 2290, 2292, 2298, 2299, 2306, 2309, 2318, 2321, 2324, 2325, 2334, 2347, 2350, 2352, 2355, 2362, 2364, 2381, 2388, 2389, 2392, 2396, 2401, 2405, 2410, 2412, 2413, 2423, 2429, 2440, 2449, 2452, 2471, 2473, 2478, 2480, 2483, 2490, 2497, 2501, 2504, 2512, 2514, 2515, 2516, 2518, 2524, 2525, 2526, 2537, 2546, 2547, 2548, 2563, 2564, 2567, 2571, 2575, 2585, 2601, 2616, 2617, 2619, 2621, 2623, 2634, 2638, 2639, 2641, 2646, 2651, 2664, 2667, 2671, 2675, 2676, 2681, 2684, 2691, 2693, 2694, 2696, 2705, 2715, 2726, 2729, 2730, 2734, 2738, 2743, 2744, 2745, 2746, 2755, 2756, 2766, 2777, 2779, 2780, 2781, 2786, 2794, 2796, 2799 ]
[ 11 , 28 ] [ 2135, 2139, 2145, 2156, 2164, 2167, 2170, 2174, 2177, 2179, 2185, 2190, 2214, 2228, 2235, 2237, 2244, 2246, 2249, 2275, 2278, 2281, 2295, 2296, 2302, 2304, 2311, 2316, 2317, 2326, 2329, 2330, 2342, 2358, 2369, 2378, 2387, 2404, 2414, 2415, 2432, 2438, 2469, 2472, 2479, 2485, 2489, 2493, 2498, 2502, 2503, 2510, 2517, 2536, 2550, 2554, 2559, 2569, 2572, 2579, 2584, 2588, 2591, 2593, 2595, 2606, 2611, 2637, 2640, 2645, 2657, 2663, 2673, 2674, 2689, 2692, 2703, 2709, 2710, 2712, 2714, 2720, 2724, 2740, 2748, 2750, 2767, 2774, 2776, 2782, 2790, 2795 ]
[ 12 , 12 ] [ 2816, 2818, 2826, 2846, 2851, 2879, 2888, 2909, 2916, 2920, 2938, 2945, 2953, 2963, 2970, 3021, 3025, 3028, 3032, 3055, 3093, 3102, 3164, 3168, 3185, 3210, 3227, 3313 ]
[ 12 , 14 ] [ 2802, 2803, 2805, 2807, 2883, 2898, 2910, 2913, 2937, 2958, 2968, 2973, 2982, 3006, 3037, 3058, 3070, 3082, 3085, 3094, 3109, 3130, 3132, 3134, 3153, 3154, 3192, 3193, 3232, 3240, 3257, 3267, 3288, 3317, 3339 ]
[ 12 , 15 ] [ 2801, 2806, 2827, 2829, 2832, 2834, 2837, 2840, 2844, 2856, 2861, 2862, 2863, 2869, 2870, 2887, 2894, 2895, 2899, 2911, 2912, 2917, 2924, 2927, 2930, 2931, 2933, 2940, 2943, 2956, 2957, 2962, 2979, 2981, 2996, 3002, 3004, 3009, 3012, 3013, 3034, 3038, 3040, 3042, 3048, 3053, 3057, 3069, 3091, 3106, 3110, 3111, 3127, 3133, 3135, 3141, 3143, 3146, 3149, 3161, 3163, 3165, 3176, 3178, 3186, 3191, 3199, 3204, 3209, 3218, 3229, 3233, 3234, 3248, 3249, 3266, 3270, 3285, 3286, 3287, 3296, 3298, 3300, 3301, 3312, 3316, 3319, 3321, 3322, 3326, 3338 ]
[ 12 , 16 ] [ 2804, 2810, 2811, 2814, 2815, 2819, 2820, 2824, 2825, 2830, 2831, 2833, 2838, 2839, 2841, 2850, 2852, 2857, 2864, 2865, 2867, 2868, 2874, 2881, 2882, 2886, 2890, 2893, 2900, 2903, 2905, 2906, 2918, 2926, 2929, 2935, 2936, 2941, 2944, 2946, 2948, 2949, 2950, 2952, 2954, 2955, 2959, 2960, 2961, 2964, 2967, 2972, 2976, 2978, 2980, 2985, 2988, 2991, 2992, 2993, 2995, 2997, 3000, 3001, 3011, 3024, 3026, 3029, 3036, 3043, 3044, 3046, 3050, 3052, 3054, 3063, 3064, 3065, 3066, 3074, 3075, 3087, 3088, 3089, 3092, 3099, 3100, 3107, 3108, 3112, 3114, 3116, 3117, 3123, 3128, 3129, 3136, 3138, 3142, 3152, 3155, 3156, 3158, 3159, 3169, 3171, 3172, 3173, 3174, 3181, 3182, 3183, 3184, 3187, 3189, 3190, 3195, 3196, 3202, 3203, 3205, 3208, 3211, 3216, 3219, 3221, 3222, 3223, 3225, 3226, 3228, 3230, 3235, 3237, 3242, 3246, 3247, 3251, 3253, 3254, 3260, 3265, 3269, 3272, 3273, 3274, 3276, 3277, 3280, 3290, 3291, 3292, 3293, 3294, 3295, 3299, 3304, 3310, 3314, 3315, 3320, 3324, 3327, 3328, 3331, 3332, 3333, 3337, 3340, 3341 ]
[ 12 , 19 ] [ 2808, 2809, 2821, 2822, 2823, 2835, 2836, 2842, 2843, 2845, 2854, 2859, 2866, 2871, 2876, 2877, 2878, 2884, 2885, 2891, 2897, 2902, 2907, 2908, 2915, 2921, 2923, 2925, 2928, 2932, 2934, 2951, 2965, 2966, 2969, 2974, 2975, 2977, 2983, 2984, 2986, 2994, 3003, 3007, 3008, 3010, 3015, 3017, 3019, 3020, 3022, 3031, 3033, 3035, 3041, 3045, 3049, 3051, 3060, 3062, 3067, 3071, 3073, 3076, 3078, 3079, 3083, 3090, 3097, 3098, 3101, 3103, 3104, 3105, 3113, 3115, 3118, 3119, 3121, 3122, 3125, 3126, 3139, 3144, 3145, 3148, 3150, 3151, 3157, 3160, 3162, 3166, 3175, 3177, 3188, 3197, 3200, 3206, 3207, 3212, 3213, 3215, 3217, 3220, 3224, 3238, 3243, 3252, 3255, 3256, 3258, 3259, 3262, 3263, 3268, 3271, 3279, 3282, 3284, 3289, 3297, 3302, 3303, 3306, 3308, 3309, 3311, 3318, 3323, 3329, 3335 ]
[ 12 , 28 ] [ 2812, 2813, 2817, 2828, 2847, 2848, 2849, 2853, 2855, 2858, 2860, 2872, 2873, 2875, 2880, 2889, 2892, 2896, 2901, 2904, 2914, 2919, 2922, 2939, 2942, 2947, 2971, 2987, 2989, 2990, 2998, 2999, 3005, 3014, 3016, 3018, 3023, 3027, 3030, 3039, 3047, 3056, 3059, 3061, 3068, 3072, 3077, 3080, 3081, 3084, 3086, 3095, 3096, 3120, 3124, 3131, 3137, 3140, 3147, 3167, 3170, 3179, 3180, 3194, 3198, 3201, 3214, 3231, 3236, 3239, 3241, 3244, 3245, 3250, 3261, 3264, 3275, 3278, 3281, 3283, 3305, 3307, 3325, 3330, 3334, 3336 ]
[ 14 , 14 ] [ 3355, 3379, 3385, 3386, 3392, 3395, 3433, 3444, 3467, 3474, 3493, 3509, 3565, 3616, 3624, 3676, 3729, 3736, 3740, 3745 ]
[ 14 , 15 ] [ 3343, 3346, 3352, 3354, 3356, 3358, 3364, 3365, 3368, 3369, 3373, 3375, 3376, 3377, 3381, 3393, 3402, 3414, 3419, 3430, 3434, 3440, 3458, 3464, 3470, 3477, 3478, 3483, 3488, 3495, 3500, 3504, 3517, 3534, 3540, 3541, 3559, 3561, 3562, 3564, 3576, 3577, 3584, 3589, 3591, 3592, 3605, 3613, 3619, 3622, 3628, 3637, 3645, 3648, 3649, 3653, 3655, 3658, 3659, 3664, 3671, 3678, 3679, 3680, 3681, 3688, 3690, 3697, 3698, 3702, 3706, 3708, 3711, 3712, 3713, 3719, 3722, 3731, 3738, 3746, 3748, 3753, 3754, 3759, 3764, 3766, 3769, 3773, 3777, 3783 ]
[ 14 , 16 ] [ 3342, 3344, 3345, 3347, 3349, 3353, 3361, 3363, 3366, 3370, 3380, 3390, 3400, 3401, 3404, 3407, 3408, 3409, 3410, 3412, 3413, 3416, 3420, 3421, 3422, 3423, 3425, 3428, 3429, 3432, 3435, 3436, 3437, 3438, 3439, 3442, 3445, 3446, 3456, 3461, 3465, 3471, 3472, 3473, 3476, 3480, 3482, 3489, 3499, 3501, 3503, 3505, 3506, 3508, 3511, 3512, 3513, 3516, 3518, 3519, 3520, 3521, 3523, 3524, 3525, 3526, 3529, 3530, 3533, 3536, 3537, 3538, 3542, 3544, 3546, 3554, 3555, 3556, 3560, 3563, 3566, 3567, 3571, 3572, 3580, 3582, 3585, 3587, 3588, 3593, 3594, 3595, 3597, 3603, 3604, 3606, 3608, 3610, 3612, 3618, 3632, 3634, 3641, 3642, 3643, 3646, 3650, 3651, 3652, 3660, 3662, 3668, 3669, 3672, 3677, 3682, 3686, 3687, 3693, 3694, 3695, 3696, 3699, 3703, 3704, 3715, 3717, 3718, 3723, 3724, 3726, 3728, 3730, 3734, 3735, 3741, 3744, 3749, 3750, 3751, 3752, 3757, 3760, 3761, 3765, 3768, 3772, 3774, 3778, 3779, 3780, 3787 ]
[ 14 , 19 ] [ 3348, 3351, 3357, 3360, 3362, 3367, 3372, 3374, 3383, 3384, 3387, 3388, 3389, 3391, 3398, 3399, 3403, 3405, 3415, 3417, 3424, 3426, 3427, 3443, 3448, 3450, 3452, 3453, 3455, 3459, 3463, 3466, 3468, 3469, 3475, 3481, 3484, 3485, 3486, 3487, 3490, 3491, 3494, 3497, 3498, 3502, 3507, 3514, 3515, 3522, 3527, 3528, 3531, 3532, 3535, 3543, 3545, 3547, 3548, 3549, 3551, 3557, 3558, 3570, 3573, 3574, 3581, 3583, 3590, 3596, 3599, 3600, 3601, 3602, 3607, 3609, 3611, 3614, 3615, 3623, 3625, 3626, 3629, 3631, 3635, 3636, 3638, 3640, 3644, 3647, 3657, 3661, 3666, 3667, 3670, 3673, 3674, 3675, 3683, 3684, 3689, 3692, 3714, 3716, 3720, 3721, 3732, 3737, 3739, 3743, 3747, 3755, 3756, 3762, 3763, 3767, 3771, 3775, 3776, 3781, 3785, 3786 ]
[ 14 , 28 ] [ 3350, 3359, 3371, 3378, 3382, 3394, 3396, 3397, 3406, 3411, 3418, 3431, 3441, 3447, 3449, 3451, 3454, 3457, 3460, 3462, 3479, 3492, 3496, 3510, 3539, 3550, 3552, 3553, 3568, 3569, 3575, 3578, 3579, 3586, 3598, 3617, 3620, 3621, 3627, 3630, 3633, 3639, 3654, 3656, 3663, 3665, 3685, 3691, 3700, 3701, 3705, 3707, 3709, 3710, 3725, 3727, 3733, 3742, 3758, 3770, 3782, 3784 ]
[ 15 , 15 ] [ 3792, 3797, 3804, 3818, 3826, 3827, 3840, 3842, 3849, 3852, 3865, 3874, 3886, 3887, 3893, 3903, 3913, 3914, 3921, 3933, 3939, 3940, 3946, 3955, 3967, 3969, 3980, 3992, 4001, 4002, 4018, 4025, 4029, 4043, 4054, 4056, 4059, 4062, 4064, 4066, 4071, 4095, 4098, 4101, 4106, 4110, 4111, 4117, 4122, 4124, 4125, 4130, 4147, 4148, 4155, 4166, 4172, 4175, 4187, 4193, 4195, 4203, 4224, 4230, 4240, 4247, 4253, 4282, 4290, 4328, 4336, 4345, 4353, 4355, 4368, 4369, 4370, 4380, 4383, 4399, 4401, 4406, 4442, 4447, 4459, 4462, 4476, 4506, 4533, 4542, 4562, 4572, 4586, 4663, 4678, 4703, 4719, 4748 ]
[ 15 , 16 ] [ 3790, 3791, 3798, 3800, 3806, 3807, 3809, 3810, 3811, 3817, 3819, 3821, 3823, 3828, 3830, 3831, 3832, 3833, 3834, 3836, 3838, 3839, 3841, 3844, 3845, 3846, 3853, 3854, 3858, 3859, 3861, 3862, 3863, 3864, 3866, 3867, 3870, 3873, 3876, 3878, 3880, 3883, 3888, 3891, 3892, 3900, 3908, 3909, 3915, 3916, 3917, 3924, 3925, 3927, 3929, 3931, 3934, 3935, 3937, 3941, 3942, 3945, 3947, 3948, 3951, 3952, 3954, 3956, 3957, 3960, 3965, 3970, 3971, 3978, 3987, 3988, 3989, 3990, 3994, 3995, 3998, 4003, 4005, 4006, 4007, 4008, 4009, 4013, 4017, 4020, 4023, 4026, 4027, 4035, 4037, 4040, 4047, 4053, 4058, 4063, 4065, 4076, 4077, 4078, 4080, 4085, 4090, 4093, 4094, 4097, 4100, 4103, 4107, 4108, 4109, 4114, 4119, 4127, 4132, 4133, 4134, 4137, 4138, 4140, 4142, 4144, 4146, 4150, 4151, 4152, 4153, 4156, 4158, 4159, 4161, 4162, 4163, 4165, 4169, 4173, 4178, 4183, 4185, 4190, 4191, 4192, 4196, 4197, 4198, 4201, 4204, 4205, 4206, 4207, 4208, 4214, 4216, 4219, 4226, 4229, 4233, 4235, 4236, 4243, 4249, 4250, 4251, 4252, 4254, 4259, 4260, 4263, 4267, 4268, 4271, 4272, 4273, 4281, 4286, 4287, 4294, 4295, 4296, 4297, 4299, 4301, 4306, 4308, 4309, 4310, 4313, 4315, 4316, 4317, 4319, 4320, 4321, 4322, 4324, 4329, 4330, 4331, 4332, 4333, 4334, 4338, 4339, 4341, 4342, 4346, 4347, 4349, 4361, 4363, 4365, 4372, 4376, 4378, 4379, 4386, 4387, 4389, 4390, 4395, 4400, 4404, 4407, 4408, 4410, 4412, 4414, 4415, 4423, 4424, 4425, 4430, 4431, 4432, 4437, 4440, 4441, 4444, 4445, 4446, 4448, 4452, 4454, 4456, 4457, 4464, 4466, 4467, 4468, 4469, 4473, 4474, 4475, 4477, 4478, 4480, 4481, 4482, 4483, 4489, 4491, 4492, 4495, 4496, 4498, 4499, 4500, 4503, 4504, 4505, 4508, 4510, 4512, 4513, 4514, 4516, 4517, 4522, 4524, 4525, 4527, 4528, 4534, 4537, 4538, 4539, 4540, 4548, 4554, 4555, 4559, 4564, 4565, 4569, 4570, 4577, 4578, 4579, 4580, 4583, 4589, 4592, 4594, 4596, 4597, 4599, 4600, 4608, 4613, 4614, 4615, 4619, 4624, 4626, 4628, 4629, 4632, 4637, 4640, 4641, 4645, 4648, 4649, 4650, 4651, 4652, 4655, 4656, 4657, 4658, 4660, 4661, 4664, 4666, 4671, 4673, 4674, 4675, 4676, 4679, 4680, 4681, 4683, 4685, 4688, 4689, 4690, 4691, 4697, 4698, 4701, 4705, 4706, 4707, 4708, 4710, 4714, 4717, 4720, 4721, 4723, 4728, 4731, 4732, 4735, 4736, 4739, 4741, 4742, 4746, 4749, 4751, 4753, 4755, 4756, 4757, 4758, 4760 ]
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