Group : Sym( 12 )

Order : 479001600

Download a file containing the generators referenced below.
Total number of polytopes : 4602

Number of polytopes of rank 3 : 3346

Polytopes References
[ 3 , 11 ] [ 954 ]
[ 3 , 12 ] [ 342 ]
[ 3 , 18 ] [ 943 ]
[ 3 , 30 ] [ 127, 172 ]
[ 3 , 35 ] [ 327, 791, 1071 ]
[ 3 , 42 ] [ 761, 1069 ]
[ 3 , 60 ] [ 789 ]
[ 4 , 6 ] [ 368, 391, 695, 1248, 1570 ]
[ 4 , 8 ] [ 1631, 1639, 1719, 1904, 2113, 2309, 2563, 2688 ]
[ 4 , 9 ] [ 1609, 1680, 1898, 1909, 1940, 1991, 2009, 2453, 2614 ]
[ 4 , 10 ] [ 571, 576, 579, 583, 673, 841, 910, 1164, 1232, 1419, 1421, 1427, 1520 ]
[ 4 , 11 ] [ 2138, 2283, 2319, 2437, 2444, 2447, 2448 ]
[ 4 , 12 ] [ 1588, 1612, 1644, 1646, 1722, 1741, 1804, 1896, 1910, 1934, 1943, 1947, 1992, 2112, 2117, 2139, 2165, 2178, 2284, 2302, 2320, 2331, 2360, 2568, 2616, 2617, 2652 ]
[ 4 , 14 ] [ 2433, 2442 ]
[ 4 , 15 ] [ 289 ]
[ 4 , 18 ] [ 2310, 2434 ]
[ 4 , 20 ] [ 1785, 1809, 1815 ]
[ 4 , 21 ] [ 2570 ]
[ 4 , 24 ] [ 1897, 2008, 2308, 2429, 2443, 2449 ]
[ 4 , 28 ] [ 1637, 1893, 2002, 2436, 2438, 2440, 2441 ]
[ 4 , 30 ] [ 362, 371, 372, 388, 394, 395, 868, 1138 ]
[ 4 , 35 ] [ 1585, 1600, 1628, 1643, 1645, 1846, 1866, 1894, 1895, 1927, 1929, 1931, 1946, 2003, 2108, 2164, 2235, 2559, 2560, 2562, 2565, 2567, 2615, 2668 ]
[ 4 , 42 ] [ 1939, 1964, 1971, 2090, 2558, 2564, 2613, 2667 ]
[ 4 , 60 ] [ 1597, 1678, 1903, 2051, 2280, 2301, 2328 ]
[ 5 , 6 ] [ 128, 725, 1099, 1105 ]
[ 5 , 8 ] [ 672, 817, 839, 1023, 1162, 1558, 1562 ]
[ 5 , 9 ] [ 729, 803, 1003, 1033, 1052, 1210 ]
[ 5 , 10 ] [ 206, 723, 1046, 1147, 1148, 1150, 1213 ]
[ 5 , 11 ] [ 1108, 1124, 1132, 1202 ]
[ 5 , 12 ] [ 674, 1112, 1133, 1154, 1197, 1206, 1228, 1231, 1557, 1559, 1560, 1563, 1564, 1566, 1567 ]
[ 5 , 14 ] [ 1158 ]
[ 5 , 18 ] [ 999, 1024 ]
[ 5 , 20 ] [ 990 ]
[ 5 , 24 ] [ 231, 802, 816, 1032 ]
[ 5 , 28 ] [ 237, 825, 829 ]
[ 5 , 30 ] [ 203, 431, 442 ]
[ 5 , 35 ] [ 721, 843, 1011, 1018, 1043 ]
[ 5 , 42 ] [ 136, 671, 676 ]
[ 5 , 60 ] [ 144, 157, 994 ]
[ 6 , 6 ] [ 53, 55, 91, 169, 170, 255, 256, 331, 334, 337, 341, 846, 972, 980, 1057, 1095, 1103, 1230, 1234, 1237 ]
[ 6 , 8 ] [ 46, 47, 48, 288, 300, 340, 370, 383, 384, 406, 413, 585, 611, 661, 665, 697, 698, 754, 778, 782, 818, 836, 1056, 1064, 1066, 1218, 1451, 1511, 1568, 1577, 1579 ]
[ 6 , 9 ] [ 13, 50, 67, 77, 81, 86, 114, 119, 174, 190, 328, 335, 414, 542, 635, 744, 784, 806, 812, 813, 815, 904, 957, 971, 973, 974, 1016, 1090, 1178, 1277, 1351, 1376, 1383, 1431, 1442, 1473, 1503, 1526, 1551 ]
[ 6 , 10 ] [ 18, 24, 59, 76, 87, 200, 293, 298, 301, 304, 322, 352, 357, 435, 490, 543, 545, 553, 561, 566, 648, 649, 655, 656, 657, 658, 714, 715, 750, 751, 770, 772, 795, 861, 901, 981, 982, 1012, 1014, 1062, 1063, 1072, 1088, 1093, 1098, 1106, 1114, 1117, 1135, 1144, 1155, 1161, 1168, 1177, 1187, 1208, 1225, 1403, 1502, 1510, 1513, 1514 ]
[ 6 , 11 ] [ 1, 40, 84, 207, 259, 343, 409, 847, 852, 884, 937, 941, 947, 949, 951, 956, 963, 1086, 1091, 1096, 1100, 1216, 1275, 1279, 1281, 1324, 1341, 1347, 1352, 1353, 1362, 1364 ]
[ 6 , 12 ] [ 2, 14, 17, 41, 49, 51, 69, 79, 82, 83, 85, 89, 212, 260, 275, 284, 287, 290, 303, 316, 317, 319, 330, 336, 339, 348, 369, 410, 471, 544, 560, 567, 601, 636, 680, 690, 691, 694, 700, 702, 703, 707, 747, 748, 749, 752, 757, 758, 763, 765, 775, 787, 810, 819, 834, 835, 837, 862, 905, 932, 950, 976, 978, 979, 983, 986, 988, 1020, 1028, 1058, 1065, 1067, 1081, 1087, 1092, 1094, 1097, 1101, 1102, 1179, 1185, 1188, 1215, 1220, 1229, 1235, 1236, 1246, 1301, 1313, 1338, 1372, 1377, 1400, 1404, 1424, 1432, 1443, 1453, 1484, 1499, 1504, 1505, 1527, 1552, 1556, 1561, 1565, 1569, 1571, 1572, 1573, 1574, 1575, 1576, 1578, 1580, 1581, 1582, 1583, 1584 ]
[ 6 , 14 ] [ 940, 946, 1059, 1217, 1250, 1273, 1359 ]
[ 6 , 15 ] [ 126, 160, 332, 532, 533 ]
[ 6 , 18 ] [ 58, 63, 851, 944, 945, 1061, 1085, 1089, 1247, 1251, 1252, 1271, 1272, 1276, 1340, 1350, 1356, 1361 ]
[ 6 , 20 ] [ 23, 324, 696, 699, 701, 735, 771, 931, 942, 967, 1249, 1270, 1337, 1344, 1348 ]
[ 6 , 21 ] [ 745, 762, 952, 975, 1068, 1380, 1512 ]
[ 6 , 24 ] [ 80, 113, 173, 338, 742, 743, 790, 811, 883, 1073, 1174, 1305, 1306, 1309, 1314, 1315, 1323 ]
[ 6 , 28 ] [ 38, 74, 280, 291, 375, 407, 753, 777, 832, 933, 936, 948, 953, 955, 984, 1070, 1175, 1274, 1278, 1280, 1339, 1342, 1343, 1349, 1355, 1360, 1363 ]
[ 6 , 30 ] [ 26, 34, 52, 54, 56, 57, 90, 103, 115, 130, 131, 137, 143, 156, 168, 171, 176, 217, 219, 220, 254, 257, 258, 297, 325, 455, 502, 504, 505, 506, 513, 523, 529, 530, 531, 540, 546, 607, 653, 785, 792, 900, 1008, 1075, 1186 ]
[ 6 , 35 ] [ 10, 25, 27, 35, 37, 39, 65, 72, 75, 96, 195, 201, 269, 274, 307, 311, 315, 318, 323, 329, 408, 468, 470, 511, 550, 564, 600, 610, 628, 734, 737, 738, 739, 746, 755, 756, 783, 794, 833, 966, 969, 970, 977, 985, 987, 1001, 1009, 1026, 1214, 1219, 1402, 1446, 1452, 1454, 1464, 1483, 1501, 1522, 1542, 1548 ]
[ 6 , 42 ] [ 9, 61, 64, 70, 73, 92, 100, 105, 118, 313, 418, 562, 664, 679, 681, 682, 683, 689, 692, 693, 764, 1060, 1167, 1176, 1373, 1374, 1379, 1401, 1456, 1458, 1500, 1518 ]
[ 6 , 60 ] [ 32, 33, 36, 183, 184, 189, 285, 306, 310, 320, 326, 360, 392, 405, 416, 510, 584, 627, 706, 736, 766, 769, 776, 781, 788, 805, 814, 968, 1375, 1378, 1381, 1382, 1420, 1423, 1447, 1472, 1521, 1547 ]
[ 7 , 9 ] [ 2692 ]
[ 7 , 11 ] [ 2694 ]
[ 7 , 12 ] [ 2418, 2466, 2468 ]
[ 7 , 35 ] [ 2693 ]
[ 8 , 8 ] [ 2903, 2904, 2907, 2908, 2924, 2928, 2941, 2949, 2958, 2959, 2969, 2970, 2982 ]
[ 8 , 9 ] [ 2900, 2901, 2906, 2909, 2911, 2921, 2922, 2923, 2927, 2931, 2932, 2935, 2937, 2944, 2946, 2950, 2951, 2955, 2965, 2968, 2971, 2975, 2977, 2978, 2986, 2987, 3025, 3052, 3055, 3057, 3059, 3060, 3061, 3064, 3069, 3073, 3074, 3075 ]
[ 8 , 10 ] [ 20, 234, 278, 279, 390, 592, 595, 615, 621, 647, 662, 663, 669, 678, 688, 711, 713, 820, 822, 823, 827, 831, 840, 875, 888, 996, 1025, 1034, 1129, 1149, 1152, 1160, 1163, 1196, 1222, 1223, 1224, 1244, 1255, 1299, 1418, 1426, 1433, 1434, 1441, 1445, 1485, 1486, 1515, 1519, 1528, 1529, 1533 ]
[ 8 , 11 ] [ 2952, 2956, 2957, 2966, 2967, 2973, 2976, 2979, 2980, 2983, 2984, 2985, 2996, 2998, 2999, 3001, 3023, 3036, 3038, 3040, 3043, 3046, 3047, 3051 ]
[ 8 , 12 ] [ 1592, 1594, 1714, 1718, 1720, 1734, 1737, 1746, 1749, 1758, 1764, 1770, 1771, 1782, 1784, 1792, 1796, 1799, 1801, 1802, 1803, 1845, 1865, 1901, 1917, 1919, 1923, 1944, 1956, 1960, 1962, 1963, 1970, 1972, 1973, 1974, 1976, 1977, 1978, 1982, 1983, 1984, 1988, 2012, 2013, 2023, 2029, 2043, 2048, 2071, 2073, 2074, 2102, 2111, 2119, 2130, 2131, 2132, 2133, 2134, 2171, 2215, 2222, 2241, 2245, 2252, 2262, 2291, 2313, 2330, 2338, 2344, 2363, 2374, 2378, 2382, 2388, 2405, 2459, 2548, 2549, 2552, 2556, 2574, 2577, 2579, 2580, 2581, 2582, 2583, 2584, 2592, 2597, 2598, 2621, 2624, 2625, 2635, 2636, 2637, 2638, 2639, 2643, 2644, 2650, 2651, 2669, 2673, 2687 ]
[ 8 , 14 ] [ 2960, 2981, 2988, 3003, 3010, 3012, 3024, 3049 ]
[ 8 , 15 ] [ 524 ]
[ 8 , 18 ] [ 2964, 2974, 2989, 2990, 2991, 2992, 2997, 3008, 3009, 3011, 3013, 3019, 3035, 3044 ]
[ 8 , 20 ] [ 1633, 1642, 1728, 1731, 1786, 1790, 1806, 1808, 1814, 1822, 1831, 1853, 1886 ]
[ 8 , 21 ] [ 2902, 2912, 2929, 2933, 2936, 2963, 3065, 3070, 3071 ]
[ 8 , 24 ] [ 2920, 2926, 2930, 2934, 2940, 2945, 2954, 2972, 2995, 3004, 3005, 3006, 3007, 3022, 3026, 3027, 3028, 3029, 3030, 3031, 3032, 3033, 3034, 3041 ]
[ 8 , 28 ] [ 2919, 2925, 2938, 2939, 2942, 2947, 2953, 2962, 2993, 2994, 3000, 3002, 3014, 3015, 3016, 3017, 3018, 3020, 3021, 3037, 3039, 3042, 3045, 3048, 3050 ]
[ 8 , 30 ] [ 42, 68, 78, 97, 228, 249, 251, 266, 273, 359, 374, 380, 381, 386, 387, 397, 400, 404, 459, 460, 477, 480, 517, 521, 554, 557, 569, 609, 727, 780, 848, 1038, 1084, 1136, 1157, 1181 ]
[ 8 , 35 ] [ 2695, 2699, 2700, 2708, 2711, 2715, 2722, 2725, 2733, 2752, 2755, 2756, 2757, 2763, 2765, 2769, 2781, 2783, 2796, 2807, 2815, 2819, 2820, 2840, 2847, 2854, 2855, 2858, 2859, 2863, 2864, 2865, 2867, 2870, 2871, 2875, 2885, 2892 ]
[ 8 , 42 ] [ 2899, 2905, 2910, 2913, 2914, 2915, 2916, 2917, 2918, 2943, 2948, 2961, 3053, 3054, 3056, 3058, 3062, 3063, 3066, 3067, 3068, 3072 ]
[ 8 , 60 ] [ 1966, 1968, 1980, 1999, 2011, 2019, 2046, 2049, 2054, 2122, 2123, 2185, 2194, 2233, 2249, 2258, 2267, 2272, 2274, 2288, 2295, 2298, 2300, 2311, 2327, 2329, 2334, 2340, 2342, 2346, 2356 ]
[ 9 , 9 ] [ 3078, 3080, 3081, 3084, 3085, 3087, 3090, 3098, 3101, 3102, 3112, 3115, 3122, 3124, 3125, 3127, 3154, 3155, 3173, 3181, 3195 ]
[ 9 , 10 ] [ 4, 44, 123, 124, 147, 165, 192, 411, 597, 643, 716, 730, 796, 808, 880, 881, 893, 919, 1013, 1044, 1109, 1130, 1198, 1203, 1285, 1290, 1297, 1300, 1322, 1326, 1369, 1371, 1385, 1388, 1389, 1392, 1435, 1439, 1470, 1471, 1478, 1480, 1530, 1536, 1544, 1546 ]
[ 9 , 11 ] [ 3088, 3091, 3092, 3099, 3100, 3103, 3135, 3136, 3137, 3141, 3143, 3144, 3145, 3147, 3149, 3150, 3152, 3153, 3164, 3165, 3167, 3171, 3177, 3182, 3190, 3191, 3193, 3194, 3196, 3197 ]
[ 9 , 12 ] [ 1595, 1622, 1654, 1658, 1667, 1668, 1675, 1683, 1685, 1693, 1696, 1725, 1754, 1756, 1773, 1779, 1835, 1837, 1907, 1914, 1921, 1936, 1938, 1941, 1957, 1989, 1995, 2014, 2026, 2032, 2056, 2060, 2069, 2079, 2083, 2089, 2092, 2095, 2096, 2099, 2143, 2161, 2210, 2230, 2323, 2403, 2415, 2416, 2417, 2457, 2464, 2465, 2467, 2469, 2485, 2495, 2500, 2512, 2526, 2528, 2531, 2535, 2536, 2538, 2539, 2540, 2541, 2555, 2569, 2575, 2593, 2594, 2599, 2622, 2628, 2642, 2657, 2658, 2665, 2677, 2678, 2679, 2682 ]
[ 9 , 14 ] [ 3093, 3139, 3146, 3151, 3159, 3168, 3175, 3183, 3184, 3185 ]
[ 9 , 15 ] [ 162, 164, 248, 446, 464 ]
[ 9 , 18 ] [ 3089, 3097, 3163, 3166, 3176, 3189 ]
[ 9 , 20 ] [ 1611, 1619, 1627, 1656, 1659, 1670, 1682, 1690, 1700, 1730, 1826, 1833, 1839, 1841 ]
[ 9 , 21 ] [ 3082, 3086, 3096, 3113, 3114, 3123, 3128, 3156, 3162, 3169, 3188, 3192 ]
[ 9 , 24 ] [ 3079, 3083, 3111, 3121, 3126, 3129, 3134, 3140, 3142, 3158, 3179, 3180 ]
[ 9 , 28 ] [ 3095, 3110, 3116, 3117, 3118, 3119, 3120, 3130, 3131, 3132, 3133, 3138, 3148, 3161, 3170, 3174, 3187 ]
[ 9 , 30 ] [ 117, 120, 145, 158, 182, 186, 209, 232, 245, 262, 345, 355, 424, 461, 467, 548, 559, 614, 633, 768, 793, 854, 857, 858, 891, 1027, 1054, 1126, 1165, 1191 ]
[ 9 , 35 ] [ 2713, 2716, 2717, 2719, 2723, 2728, 2735, 2737, 2739, 2741, 2742, 2744, 2774, 2775, 2786, 2789, 2803, 2808, 2809, 2818, 2824, 2826, 2827, 2831, 2837, 2841, 2852, 2853, 2857, 2869, 2872, 2874, 2879, 2881, 2882, 2887, 2890, 2897 ]
[ 9 , 42 ] [ 3076, 3077, 3094, 3104, 3105, 3106, 3107, 3108, 3109, 3157, 3160, 3172, 3178, 3186 ]
[ 9 , 60 ] [ 1994, 2001, 2021, 2035, 2036, 2058, 2061, 2063, 2067, 2068, 2081, 2084, 2087, 2093, 2094, 2097, 2191, 2223, 2227, 2244, 2247 ]
[ 10 , 10 ] [ 8, 15, 216, 351, 535, 537, 587, 593, 599, 618, 619, 620, 623, 644, 645, 733, 801, 842, 877, 878, 899, 920, 921, 929, 1017, 1045, 1047, 1049, 1111, 1115, 1142, 1145, 1146, 1151, 1205, 1212, 1406, 1413, 1414, 1492, 1494, 1509, 1517, 1554 ]
[ 10 , 11 ] [ 5, 21, 95, 437, 903, 914, 917, 923, 1267, 1269, 1283, 1288, 1289, 1294, 1320, 1321, 1325, 1330, 1333, 1334, 1345, 1358 ]
[ 10 , 12 ] [ 6, 7, 16, 22, 45, 99, 109, 215, 235, 277, 412, 415, 491, 538, 570, 573, 577, 578, 580, 582, 586, 598, 616, 617, 638, 639, 640, 641, 646, 651, 660, 666, 667, 670, 684, 687, 704, 705, 708, 709, 717, 719, 724, 731, 741, 760, 797, 798, 799, 821, 838, 845, 882, 894, 909, 915, 916, 918, 924, 930, 989, 991, 992, 993, 997, 1005, 1015, 1035, 1053, 1104, 1110, 1113, 1116, 1125, 1131, 1134, 1143, 1153, 1199, 1200, 1204, 1207, 1209, 1227, 1233, 1239, 1241, 1260, 1263, 1264, 1308, 1311, 1318, 1387, 1398, 1399, 1405, 1407, 1408, 1411, 1412, 1416, 1430, 1436, 1438, 1440, 1444, 1450, 1459, 1461, 1462, 1465, 1489, 1491, 1495, 1498, 1506, 1507, 1516, 1531, 1532, 1534, 1537, 1539, 1540, 1541, 1543, 1550, 1553, 1555 ]
[ 10 , 14 ] [ 897, 998, 1238, 1240, 1254, 1258, 1284, 1296, 1328, 1346 ]
[ 10 , 15 ] [ 244, 296, 309, 494, 497, 509 ]
[ 10 , 18 ] [ 3, 876, 892, 1107, 1201, 1243, 1245, 1253, 1256, 1257, 1259, 1266, 1282, 1292, 1332 ]
[ 10 , 20 ] [ 622, 824, 828, 1022, 1242, 1261, 1286, 1295, 1298 ]
[ 10 , 21 ] [ 125, 166, 732, 800, 898, 1048, 1120, 1211, 1386, 1390, 1429, 1468, 1481, 1508 ]
[ 10 , 24 ] [ 19, 594, 596, 637, 879, 887, 1128, 1195, 1221, 1287, 1302, 1303, 1304, 1307, 1310, 1312, 1316, 1317, 1319, 1329, 1335 ]
[ 10 , 28 ] [ 94, 642, 895, 1121, 1262, 1265, 1268, 1291, 1293, 1327, 1331, 1336, 1354, 1357 ]
[ 10 , 30 ] [ 29, 43, 62, 108, 112, 194, 214, 226, 227, 243, 350, 356, 358, 429, 436, 465, 474, 482, 492, 496, 516, 518, 549, 555, 591, 605, 626, 629, 631, 634, 774, 855, 864, 865, 926, 928, 1037, 1076, 1137, 1139, 1159, 1171, 1184, 1194 ]
[ 10 , 35 ] [ 12, 31, 98, 204, 205, 276, 453, 536, 590, 624, 630, 650, 654, 659, 718, 740, 759, 844, 896, 1004, 1019, 1031, 1051, 1123, 1226, 1393, 1395, 1397, 1410, 1428, 1437, 1449, 1482, 1488, 1490, 1493, 1496, 1497, 1525, 1538, 1549 ]
[ 10 , 42 ] [ 11, 110, 111, 589, 668, 677, 685, 686, 722, 728, 1000, 1002, 1010, 1042, 1122, 1365, 1366, 1368, 1384, 1396, 1409, 1455, 1457, 1460, 1463, 1466, 1467, 1476, 1477, 1535, 1545 ]
[ 10 , 60 ] [ 30, 122, 146, 191, 193, 389, 574, 581, 710, 712, 720, 804, 807, 809, 826, 830, 995, 1029, 1030, 1050, 1367, 1370, 1391, 1394, 1415, 1417, 1422, 1425, 1448, 1469, 1474, 1475, 1479, 1487, 1523, 1524 ]
[ 11 , 11 ] [ 3217, 3218, 3220, 3224, 3233, 3243, 3245, 3246, 3247 ]
[ 11 , 12 ] [ 1589, 1607, 1624, 1697, 1710, 1823, 1854, 1870, 1877, 2140, 2144, 2148, 2150, 2155, 2157, 2166, 2173, 2175, 2179, 2189, 2199, 2314, 2322, 2364, 2366, 2401, 2402, 2404, 2409, 2413, 2414, 2419, 2421, 2423, 2424, 2426, 2427, 2446, 2452, 2455, 2456, 2458, 2463, 2483, 2484, 2487, 2494, 2496, 2498, 2501, 2505, 2506, 2507, 2508, 2509, 2511, 2513, 2516, 2518, 2519, 2521 ]
[ 11 , 14 ] [ 3212, 3221, 3227, 3228, 3234, 3238, 3244 ]
[ 11 , 15 ] [ 452, 457, 960, 1182 ]
[ 11 , 18 ] [ 3216, 3219, 3232, 3237 ]
[ 11 , 20 ] [ 1613, 1634, 1649, 1701, 1723, 1827, 1874, 1884 ]
[ 11 , 21 ] [ 3203, 3205, 3207, 3208, 3209, 3211, 3215, 3222, 3231, 3235, 3236, 3240 ]
[ 11 , 24 ] [ 3202, 3204, 3206, 3210 ]
[ 11 , 28 ] [ 3214, 3223, 3226, 3230, 3241, 3242 ]
[ 11 , 30 ] [ 210, 267, 346, 432, 448, 488, 850, 853, 859, 869, 872, 886, 907, 912, 939, 962, 964, 1079, 1119, 1189 ]
[ 11 , 35 ] [ 2822, 2823, 2828, 2829, 2832, 2833, 2834, 2835, 2849, 2850, 2851, 2856, 2868, 2873, 2877, 2880, 2883, 2884, 2888, 2889, 2893, 2895, 2896, 2898 ]
[ 11 , 42 ] [ 3198, 3199, 3200, 3201, 3213, 3225, 3229, 3239 ]
[ 11 , 60 ] [ 2187, 2190, 2196, 2200, 2201, 2206, 2253, 2263, 2270, 2281, 2290, 2293 ]
[ 12 , 12 ] [ 1590, 1608, 1615, 1625, 1661, 1663, 1698, 1703, 1711, 1712, 1717, 1726, 1735, 1739, 1740, 1743, 1747, 1760, 1762, 1766, 1775, 1776, 1778, 1781, 1783, 1788, 1800, 1824, 1847, 1855, 1860, 1871, 1873, 1878, 1881, 1900, 1902, 1908, 1922, 1945, 1948, 1949, 1952, 1954, 1959, 1990, 1996, 2007, 2015, 2016, 2022, 2027, 2028, 2030, 2031, 2047, 2070, 2072, 2076, 2077, 2106, 2116, 2127, 2129, 2135, 2136, 2137, 2141, 2145, 2146, 2147, 2149, 2163, 2167, 2170, 2172, 2174, 2176, 2177, 2180, 2214, 2224, 2228, 2229, 2231, 2237, 2238, 2251, 2255, 2261, 2275, 2276, 2277, 2279, 2285, 2303, 2307, 2315, 2317, 2324, 2325, 2326, 2336, 2361, 2365, 2367, 2368, 2369, 2551, 2553, 2566, 2571, 2576, 2586, 2587, 2589, 2602, 2603, 2604, 2606, 2623, 2626, 2632, 2633, 2647, 2648, 2649, 2653, 2676, 2680, 2681, 2684, 2686, 2690, 2691 ]
[ 12 , 14 ] [ 1748, 1864, 2156, 2197, 2337, 2370, 2371, 2372, 2373, 2377, 2380, 2385, 2386, 2387, 2391, 2407, 2410, 2420, 2425, 2431, 2461, 2486, 2493, 2502, 2503, 2517 ]
[ 12 , 15 ] [ 151, 250, 252, 302, 401, 466, 503, 507, 541, 1077, 1140, 1183 ]
[ 12 , 18 ] [ 1593, 1716, 2142, 2154, 2169, 2188, 2198, 2321, 2349, 2375, 2376, 2379, 2381, 2383, 2384, 2389, 2390, 2392, 2393, 2394, 2395, 2411, 2432, 2435, 2479 ]
[ 12 , 20 ] [ 1614, 1616, 1620, 1623, 1635, 1640, 1652, 1686, 1702, 1704, 1713, 1724, 1727, 1732, 1742, 1805, 1813, 1817, 1820, 1828, 1829, 1834, 1852, 1863, 1875, 1885, 1889, 1890, 1892 ]
[ 12 , 21 ] [ 1676, 1780, 1942, 2075, 2527, 2529, 2532, 2533, 2534, 2537, 2547, 2573, 2578, 2591, 2620, 2630, 2631, 2634, 2655, 2659 ]
[ 12 , 24 ] [ 1591, 1653, 1666, 1715, 1913, 1920, 1935, 1937, 2055, 2078, 2091, 2098, 2160, 2168, 2312, 2343, 2400, 2408, 2412, 2428, 2430, 2450, 2454, 2462, 2470, 2471, 2472, 2473, 2474, 2475, 2476, 2477, 2482, 2488, 2489 ]
[ 12 , 28 ] [ 1586, 1705, 1736, 1757, 1763, 1791, 1795, 1798, 1807, 1810, 1844, 1911, 1950, 2042, 2100, 2109, 2151, 2153, 2158, 2182, 2362, 2396, 2397, 2398, 2399, 2406, 2422, 2439, 2445, 2451, 2460, 2478, 2480, 2481, 2490, 2491, 2492, 2497, 2499, 2504, 2510, 2514, 2515, 2520 ]
[ 12 , 30 ] [ 101, 102, 132, 134, 135, 141, 148, 150, 152, 167, 175, 177, 179, 187, 211, 213, 221, 233, 246, 253, 268, 271, 347, 349, 363, 364, 373, 382, 385, 393, 402, 403, 449, 454, 462, 479, 481, 487, 489, 499, 527, 547, 575, 606, 652, 675, 773, 860, 863, 866, 867, 870, 902, 908, 913, 922, 925, 927, 934, 961, 1055, 1074, 1080, 1083, 1127, 1141, 1166, 1169, 1173, 1190, 1193 ]
[ 12 , 35 ] [ 1587, 1596, 1602, 1621, 1636, 1706, 1707, 1733, 1738, 1752, 1753, 1759, 1761, 1765, 1768, 1769, 1774, 1777, 1842, 1850, 1851, 1856, 1857, 1858, 1859, 1867, 1868, 1872, 1876, 1879, 1880, 1912, 1915, 1924, 1926, 1928, 1930, 1932, 1933, 1951, 1953, 1958, 2005, 2024, 2101, 2105, 2114, 2115, 2126, 2152, 2159, 2162, 2208, 2217, 2219, 2246, 2306, 2542, 2543, 2544, 2545, 2546, 2550, 2557, 2561, 2572, 2585, 2588, 2595, 2596, 2600, 2601, 2605, 2607, 2608, 2609, 2610, 2611, 2618, 2619, 2629, 2641, 2645, 2646, 2661, 2663, 2664, 2666, 2671, 2672, 2674, 2675, 2683, 2685, 2689 ]
[ 12 , 42 ] [ 1657, 1673, 1674, 1684, 1750, 1751, 1755, 1772, 1836, 1840, 1918, 1955, 1961, 1967, 1975, 1985, 1986, 1987, 2025, 2037, 2059, 2082, 2088, 2209, 2305, 2522, 2523, 2524, 2525, 2530, 2554, 2590, 2612, 2627, 2640, 2654, 2656, 2660, 2662, 2670 ]
[ 12 , 60 ] [ 1662, 1664, 1671, 1672, 1677, 1691, 1692, 1694, 1695, 1744, 1745, 1767, 1787, 1797, 1899, 1905, 1906, 1916, 1925, 1993, 2038, 2041, 2050, 2052, 2110, 2211, 2254, 2256, 2260, 2264, 2265, 2273, 2278, 2282, 2297, 2299, 2304, 2316, 2318, 2332, 2347, 2348, 2352, 2357, 2358, 2359 ]
[ 14 , 14 ] [ 3248, 3268 ]
[ 14 , 18 ] [ 3252, 3255, 3267 ]
[ 14 , 20 ] [ 1641 ]
[ 14 , 21 ] [ 3251, 3263 ]
[ 14 , 24 ] [ 3254, 3259, 3266 ]
[ 14 , 28 ] [ 3250, 3261, 3264 ]
[ 14 , 30 ] [ 223, 272, 353, 965 ]
[ 14 , 35 ] [ 2768, 2770, 2798, 2800, 2838, 2843, 2860, 2861, 2862, 2866, 2891 ]
[ 14 , 42 ] [ 3249, 3253, 3256, 3258, 3265 ]
[ 14 , 60 ] [ 2202, 2239, 2266, 2292, 2355 ]
[ 15 , 18 ] [ 222, 295, 299 ]
[ 15 , 20 ] [ 441 ]
[ 15 , 21 ] [ 155 ]
[ 15 , 24 ] [ 312, 417 ]
[ 15 , 28 ] [ 282, 286, 314, 361, 376, 450, 469 ]
[ 15 , 30 ] [ 129, 159, 321, 443, 522 ]
[ 15 , 35 ] [ 242, 495, 501, 539, 1040 ]
[ 15 , 42 ] [ 133, 240, 294, 305, 333 ]
[ 15 , 60 ] [ 153, 281, 283, 292, 308, 398, 508 ]
[ 18 , 18 ] [ 3316, 3317 ]
[ 18 , 20 ] [ 1610, 1618, 1699, 1825, 1832 ]
[ 18 , 21 ] [ 3306, 3307 ]
[ 18 , 24 ] [ 3320, 3321 ]
[ 18 , 28 ] [ 3315, 3318, 3319, 3322, 3323 ]
[ 18 , 30 ] [ 208, 225, 344, 445, 463, 856, 871, 890, 911, 959, 1021, 1170 ]
[ 18 , 35 ] [ 2766, 2767, 2797, 2801, 2825, 2830, 2836, 2878 ]
[ 18 , 42 ] [ 3291, 3292, 3295, 3297, 3308, 3311 ]
[ 18 , 60 ] [ 2195, 2204, 2221, 2240, 2242, 2259, 2289, 2296, 2335, 2350, 2351, 2353, 2354 ]
[ 20 , 20 ] [ 1598, 1811, 1816, 1819 ]
[ 20 , 21 ] [ 1660 ]
[ 20 , 24 ] [ 1617, 1647, 1655, 1681, 1721, 1830, 1882 ]
[ 20 , 28 ] [ 1629, 1632, 1648, 1650, 1794, 1812, 1821, 1848, 1883 ]
[ 20 , 30 ] [ 196, 367, 377, 426, 428, 438, 440, 444, 472, 958 ]
[ 20 , 35 ] [ 1601, 1603, 1606, 1630, 1638, 1651, 1709, 1729, 1843, 1849, 1861, 1862, 1869, 1887, 1888, 1891 ]
[ 20 , 42 ] [ 1626, 1669, 1687, 1708 ]
[ 20 , 60 ] [ 1599, 1604, 1605, 1665, 1679, 1688, 1689, 1789, 1793, 1818, 1838 ]
[ 21 , 21 ] [ 3303 ]
[ 21 , 24 ] [ 3260, 3280, 3281, 3298 ]
[ 21 , 28 ] [ 3262, 3277, 3278, 3293, 3294, 3301 ]
[ 21 , 30 ] [ 121, 239, 354, 421, 1192 ]
[ 21 , 35 ] [ 2724, 2736, 2776, 2790, 2805, 2811, 2816, 2839, 2886 ]
[ 21 , 42 ] [ 3257, 3274, 3275, 3285 ]
[ 21 , 60 ] [ 2062, 2085, 2192, 2203, 2268, 2286 ]
[ 24 , 24 ] [ 3324, 3325, 3329, 3330, 3331, 3334 ]
[ 24 , 28 ] [ 3326, 3327, 3328, 3332, 3333, 3335, 3336 ]
[ 24 , 30 ] [ 66, 93, 116, 181, 247, 422, 425, 458, 556, 558, 568, 608, 849, 906, 938, 1118, 1180 ]
[ 24 , 35 ] [ 2710, 2712, 2718, 2720, 2732, 2734, 2738, 2740, 2743, 2751, 2773, 2780, 2782, 2788, 2802, 2806, 2821, 2846, 2848, 2876 ]
[ 24 , 42 ] [ 3270, 3271, 3273, 3282, 3287, 3288, 3289, 3305, 3310, 3312 ]
[ 24 , 60 ] [ 1998, 2000, 2010, 2020, 2057, 2080, 2086, 2186, 2232, 2257, 2269, 2294, 2333, 2341, 2345 ]
[ 28 , 28 ] [ 3337, 3338, 3339, 3340, 3341, 3342, 3343, 3344, 3345, 3346 ]
[ 28 , 30 ] [ 71, 241, 263, 265, 365, 366, 379, 396, 430, 433, 447, 476, 563, 885, 935, 1078 ]
[ 28 , 35 ] [ 2727, 2746, 2747, 2748, 2749, 2750, 2754, 2762, 2777, 2784, 2793, 2804, 2842, 2844 ]
[ 28 , 42 ] [ 3269, 3284, 3286, 3296, 3299, 3314 ]
[ 28 , 60 ] [ 2004, 2045, 2103, 2120, 2121, 2124, 2181, 2183, 2184, 2193, 2205, 2207, 2271, 2287, 2339 ]
[ 30 , 30 ] [ 88, 107, 140, 188, 198, 218, 419, 427, 439, 451, 456, 484, 500, 512, 519, 520, 528, 1036, 1156 ]
[ 30 , 35 ] [ 199, 202, 230, 238, 264, 270, 434, 475, 478, 483, 485, 486, 493, 498, 514, 525, 526, 534, 552, 565, 588, 603, 612, 632, 726, 786, 874, 1007, 1041, 1082, 1172 ]
[ 30 , 42 ] [ 60, 104, 106, 138, 139, 154, 224, 229, 236, 261, 423, 551, 604, 613, 873, 889, 1039 ]
[ 30 , 60 ] [ 28, 142, 149, 161, 163, 178, 180, 185, 197, 378, 399, 420, 473, 515, 572, 602, 625, 767, 779, 1006 ]
[ 35 , 35 ] [ 2709, 2714, 2721, 2726, 2729, 2730, 2731, 2745, 2753, 2758, 2759, 2760, 2761, 2764, 2778, 2779, 2785, 2787, 2791, 2792, 2794, 2795, 2810, 2812, 2813, 2814, 2817, 2845, 2894 ]
[ 35 , 42 ] [ 2696, 2697, 2698, 2701, 2702, 2703, 2704, 2705, 2706, 2707, 2771, 2772, 2799 ]
[ 35 , 60 ] [ 1997, 2006, 2064, 2104, 2107, 2118, 2125, 2128, 2216, 2218, 2220, 2226, 2234, 2236 ]
[ 42 , 42 ] [ 3272, 3276, 3279, 3283, 3290, 3300, 3302, 3304, 3309, 3313 ]
[ 42 , 60 ] [ 1965, 1969, 1979, 1981, 2018, 2039, 2040, 2066, 2243, 2250 ]
[ 60 , 60 ] [ 2017, 2033, 2034, 2044, 2053, 2065, 2212, 2213, 2225, 2248 ]

Number of polytopes of rank 4 : 940

Polytopes References
[ 3 , 4 , 8 ] [ 3359, 3412, 3414, 4023 ]
[ 3 , 4 , 10 ] [ 3402 ]
[ 3 , 4 , 12 ] [ 3394, 3435, 3683, 4022 ]
[ 3 , 4 , 30 ] [ 3353 ]
[ 3 , 5 , 4 ] [ 3797, 3958 ]
[ 3 , 5 , 6 ] [ 3360 ]
[ 3 , 5 , 8 ] [ 4024 ]
[ 3 , 5 , 12 ] [ 3798 ]
[ 3 , 6 , 4 ] [ 3835 ]
[ 3 , 6 , 6 ] [ 3361, 3362, 3373, 3392, 3570, 3642, 3692, 3834, 3859, 3901 ]
[ 3 , 6 , 8 ] [ 3358, 3411, 3413 ]
[ 3 , 6 , 10 ] [ 3367, 3948 ]
[ 3 , 6 , 12 ] [ 3398, 3679, 3681, 3682, 3684, 3814, 4021 ]
[ 3 , 6 , 15 ] [ 3434 ]
[ 3 , 6 , 30 ] [ 3354 ]
[ 3 , 8 , 4 ] [ 3425, 3573, 3578, 3800, 3959, 3975 ]
[ 3 , 8 , 8 ] [ 3801, 4006, 4013 ]
[ 3 , 9 , 6 ] [ 3752 ]
[ 3 , 10 , 3 ] [ 3840 ]
[ 3 , 10 , 4 ] [ 3424, 3427, 3577, 3802, 3992, 4000, 4001 ]
[ 3 , 10 , 6 ] [ 3585, 3766, 3767, 3768, 3832, 3902, 3945, 3954 ]
[ 3 , 10 , 8 ] [ 3990 ]
[ 3 , 10 , 10 ] [ 3943 ]
[ 3 , 10 , 12 ] [ 3428, 3815 ]
[ 3 , 12 , 3 ] [ 3372 ]
[ 3 , 12 , 4 ] [ 3483, 3493, 3738, 3991, 3995, 3997, 4002, 4003, 4004, 4010, 4011, 4016, 4019 ]
[ 3 , 12 , 6 ] [ 3374, 3436, 3491, 3498, 3581, 3641, 3737, 3753, 3839, 3858, 3897, 3905 ]
[ 3 , 12 , 8 ] [ 3996, 4007, 4009, 4015 ]
[ 3 , 12 , 10 ] [ 3944, 3951 ]
[ 3 , 12 , 12 ] [ 3490, 3497, 3579, 3582, 3796, 3993, 3994 ]
[ 4 , 3 , 8 ] [ 4270 ]
[ 4 , 3 , 10 ] [ 3807, 3869, 3882 ]
[ 4 , 3 , 12 ] [ 4048, 4251 ]
[ 4 , 3 , 20 ] [ 4110 ]
[ 4 , 3 , 21 ] [ 4037 ]
[ 4 , 3 , 30 ] [ 3590 ]
[ 4 , 4 , 4 ] [ 4147 ]
[ 4 , 4 , 5 ] [ 3400, 3824, 3965, 3980, 3981, 3988 ]
[ 4 , 4 , 6 ] [ 3422, 3429, 3442, 3574, 3677, 3693, 3740, 3749, 3769, 3803, 3805, 3894, 3918, 3953, 4014 ]
[ 4 , 4 , 8 ] [ 4029, 4173, 4196, 4197, 4206, 4215, 4247, 4253, 4256, 4277 ]
[ 4 , 4 , 9 ] [ 4186 ]
[ 4 , 4 , 10 ] [ 3384, 3417, 3446, 3447, 3506, 3699, 3702, 3812, 3813, 3825, 3889, 3927, 3928, 3931 ]
[ 4 , 4 , 12 ] [ 4062, 4085, 4086, 4101, 4102, 4128, 4129, 4135, 4136, 4137, 4146, 4148, 4149, 4165, 4166, 4175, 4195, 4198, 4232, 4239, 4276 ]
[ 4 , 4 , 14 ] [ 4170, 4183 ]
[ 4 , 4 , 21 ] [ 4171, 4191 ]
[ 4 , 4 , 30 ] [ 3624, 3625, 3631, 3632, 3633, 3634, 3721 ]
[ 4 , 5 , 4 ] [ 4236, 4237, 4264 ]
[ 4 , 5 , 5 ] [ 3794, 3968, 3983, 3984 ]
[ 4 , 5 , 6 ] [ 3469, 3599, 3657, 3706, 3773, 3780, 3960 ]
[ 4 , 5 , 8 ] [ 4234, 4235 ]
[ 4 , 5 , 10 ] [ 3464, 3567, 3710, 3711, 3783, 3810, 3829, 3886 ]
[ 4 , 5 , 12 ] [ 4142, 4249 ]
[ 4 , 5 , 30 ] [ 3595, 3724 ]
[ 4 , 6 , 4 ] [ 4052, 4055, 4107, 4109, 4118, 4121, 4200, 4201, 4221, 4240, 4241, 4244, 4245, 4260, 4261, 4262, 4263, 4273 ]
[ 4 , 6 , 5 ] [ 3575, 3611, 3612, 3614, 3616, 3627, 3792, 3966, 3967, 3982, 3985 ]
[ 4 , 6 , 6 ] [ 3379, 3386, 3397, 3426, 3451, 3465, 3466, 3468, 3470, 3476, 3480, 3481, 3482, 3492, 3495, 3496, 3516, 3517, 3519, 3520, 3587, 3589, 3593, 3601, 3648, 3660, 3695, 3736, 3750, 3757, 3770, 3772, 3774, 3775, 3781, 3806, 3817, 3843, 3850, 3864, 3866, 3872, 3892, 3921, 3961, 3964, 3999, 4005, 4017 ]
[ 4 , 6 , 8 ] [ 4028, 4046, 4047, 4056, 4057, 4063, 4064, 4099, 4105, 4115, 4116, 4127, 4150, 4153, 4176, 4181, 4185, 4194, 4204, 4211, 4214, 4218, 4219, 4242, 4248, 4254, 4255, 4257, 4259, 4274, 4275, 4278 ]
[ 4 , 6 , 9 ] [ 4025 ]
[ 4 , 6 , 10 ] [ 3452, 3453, 3454, 3455, 3541, 3707, 3782, 3784, 3820, 3826, 3830, 3860, 3861, 3865, 3867, 3883, 3884, 3891, 3914, 3916 ]
[ 4 , 6 , 12 ] [ 4034, 4061, 4065, 4066, 4103, 4104, 4106, 4112, 4120, 4124, 4125, 4132, 4133, 4134, 4140, 4143, 4144, 4155, 4156, 4202, 4228, 4233, 4250, 4252 ]
[ 4 , 6 , 15 ] [ 3613, 3615, 3626, 3630, 3635 ]
[ 4 , 6 , 20 ] [ 4027, 4113, 4122, 4126 ]
[ 4 , 6 , 21 ] [ 4026, 4031, 4041 ]
[ 4 , 6 , 30 ] [ 3596, 3602, 3608, 3675 ]
[ 4 , 8 , 4 ] [ 4225, 4226, 4266 ]
[ 4 , 8 , 5 ] [ 3637, 3962, 3963, 3977 ]
[ 4 , 8 , 6 ] [ 3418, 3423, 3456, 3458, 3460, 3494, 3500, 3518, 3576, 3712, 3729, 3799, 3910, 3911 ]
[ 4 , 8 , 8 ] [ 4205, 4207, 4212, 4213, 4216, 4217, 4220 ]
[ 4 , 8 , 10 ] [ 3778, 3885, 3887, 3888, 3912, 3922, 3926, 3930, 3933, 3934, 3949 ]
[ 4 , 8 , 12 ] [ 4223 ]
[ 4 , 8 , 14 ] [ 4182, 4184 ]
[ 4 , 8 , 21 ] [ 4190, 4193 ]
[ 4 , 9 , 6 ] [ 3647, 3649, 3731 ]
[ 4 , 9 , 12 ] [ 4229 ]
[ 4 , 10 , 4 ] [ 4069, 4070, 4071, 4072, 4087, 4088, 4089, 4090, 4091, 4180, 4230, 4238, 4284 ]
[ 4 , 10 , 5 ] [ 3821, 3976, 3979 ]
[ 4 , 10 , 6 ] [ 3387, 3421, 3430, 3457, 3463, 3566, 3594, 3598, 3600, 3658, 3723, 3771, 3777, 3779, 3831, 3903, 3955, 4018, 4020 ]
[ 4 , 10 , 8 ] [ 4098, 4100, 4152, 4154, 4169, 4179, 4209, 4210 ]
[ 4 , 10 , 10 ] [ 3822, 3913, 3915, 3923, 3924, 3925, 3929 ]
[ 4 , 10 , 12 ] [ 4092, 4093, 4096, 4097, 4141, 4243 ]
[ 4 , 10 , 15 ] [ 3636, 3676 ]
[ 4 , 12 , 4 ] [ 4051, 4054, 4059, 4067, 4068, 4073, 4076, 4078, 4174, 4178, 4224, 4227, 4231, 4265, 4267, 4268, 4271, 4272, 4283, 4285 ]
[ 4 , 12 , 5 ] [ 3389, 3617, 3808, 3809, 3978, 3989 ]
[ 4 , 12 , 6 ] [ 3378, 3388, 3395, 3396, 3399, 3486, 3487, 3571, 3588, 3597, 3659, 3696, 3791, 3836, 3862, 3863, 3870, 3877, 3878, 3879, 3881, 3898, 3899, 3908, 3998, 4008 ]
[ 4 , 12 , 7 ] [ 4187 ]
[ 4 , 12 , 8 ] [ 4045, 4094, 4095, 4108, 4117, 4119, 4172, 4177, 4199, 4203, 4208, 4222, 4269 ]
[ 4 , 12 , 9 ] [ 4167, 4168, 4188, 4189 ]
[ 4 , 12 , 10 ] [ 3385, 3415, 3416, 3445, 3505, 3700, 3701, 3793, 3795, 3868, 3932, 3935 ]
[ 4 , 12 , 12 ] [ 4030, 4039, 4042, 4043, 4044, 4049, 4050, 4053, 4058, 4060, 4074, 4079, 4080, 4081, 4082, 4083, 4084, 4111, 4123, 4130, 4131, 4138, 4139, 4151 ]
[ 4 , 12 , 15 ] [ 3572 ]
[ 4 , 12 , 20 ] [ 4114 ]
[ 4 , 12 , 21 ] [ 4035, 4040, 4192 ]
[ 4 , 12 , 30 ] [ 3591, 3623, 3629, 3680, 3722 ]
[ 4 , 15 , 6 ] [ 3478 ]
[ 4 , 15 , 12 ] [ 4032, 4033 ]
[ 4 , 15 , 15 ] [ 3609 ]
[ 4 , 15 , 21 ] [ 4036, 4038 ]
[ 4 , 30 , 6 ] [ 3592 ]
[ 4 , 30 , 9 ] [ 4158, 4163 ]
[ 4 , 42 , 4 ] [ 4077 ]
[ 4 , 42 , 6 ] [ 3419 ]
[ 4 , 42 , 7 ] [ 4160, 4162 ]
[ 4 , 42 , 9 ] [ 4157, 4159, 4161, 4164 ]
[ 4 , 42 , 10 ] [ 3420 ]
[ 4 , 42 , 12 ] [ 4075 ]
[ 5 , 3 , 6 ] [ 3854 ]
[ 5 , 3 , 10 ] [ 3844 ]
[ 5 , 4 , 5 ] [ 3856 ]
[ 5 , 4 , 6 ] [ 3841, 3842, 3855, 3941, 3957 ]
[ 5 , 4 , 8 ] [ 3407, 3969, 3971, 3974, 3987 ]
[ 5 , 5 , 6 ] [ 3375, 3376, 3853 ]
[ 5 , 5 , 8 ] [ 3973 ]
[ 5 , 5 , 10 ] [ 3845 ]
[ 5 , 6 , 6 ] [ 3368, 3370, 3746, 3747, 3837, 3846 ]
[ 5 , 6 , 8 ] [ 3403, 3404, 3406, 3970 ]
[ 5 , 6 , 10 ] [ 3851, 3857 ]
[ 5 , 8 , 6 ] [ 3838, 3847, 3848, 3849 ]
[ 5 , 10 , 6 ] [ 3852, 3947 ]
[ 5 , 10 , 8 ] [ 3405, 3972 ]
[ 5 , 12 , 6 ] [ 3369 ]
[ 5 , 12 , 8 ] [ 3986 ]
[ 5 , 12 , 10 ] [ 3946, 3950 ]
[ 5 , 30 , 6 ] [ 3409 ]
[ 6 , 3 , 8 ] [ 3383 ]
[ 6 , 3 , 10 ] [ 3532, 3900 ]
[ 6 , 3 , 12 ] [ 3827, 3938 ]
[ 6 , 3 , 15 ] [ 3474 ]
[ 6 , 3 , 20 ] [ 3618 ]
[ 6 , 4 , 6 ] [ 3393, 3401, 3438, 3449, 3450, 3512, 3513, 3557, 3580, 3703, 3717, 3718, 3942 ]
[ 6 , 4 , 7 ] [ 3643, 3671 ]
[ 6 , 4 , 8 ] [ 3439, 3448, 3514, 3515, 3553, 3645, 3646, 3694, 3704, 3705, 3734, 3764, 3765, 3804, 3917, 3919 ]
[ 6 , 4 , 10 ] [ 3410, 3441, 3484, 3485, 3501, 3502, 3507, 3509, 3511, 3556, 3559, 3560, 3763, 3956 ]
[ 6 , 4 , 12 ] [ 3443, 3444, 3555, 3662, 3663, 3674, 3689, 3691, 3697, 3698, 3828, 3890, 3937, 3939 ]
[ 6 , 4 , 14 ] [ 3644 ]
[ 6 , 4 , 15 ] [ 3583 ]
[ 6 , 4 , 30 ] [ 3732, 3733 ]
[ 6 , 5 , 6 ] [ 3656, 3727, 3790 ]
[ 6 , 5 , 8 ] [ 3654, 3788 ]
[ 6 , 5 , 10 ] [ 3462 ]
[ 6 , 5 , 12 ] [ 3873 ]
[ 6 , 6 , 6 ] [ 3355, 3356, 3357, 3475, 3477, 3479, 3525, 3526, 3527, 3530, 3531, 3535, 3544, 3548, 3604, 3606, 3639, 3640, 3650, 3713, 3714, 3715, 3720, 3785, 3786, 3811, 3816, 3833, 3940 ]
[ 6 , 6 , 7 ] [ 3621, 3672 ]
[ 6 , 6 , 8 ] [ 3382, 3390, 3459, 3467, 3550, 3586, 3754, 3907 ]
[ 6 , 6 , 10 ] [ 3349, 3351, 3352, 3521, 3533, 3536, 3538, 3545, 3546, 3549, 3564, 3569, 3735, 3742, 3743, 3744, 3745, 3751, 3758, 3759, 3761, 3762, 3895 ]
[ 6 , 6 , 12 ] [ 3363, 3471, 3473, 3537, 3562, 3563, 3565, 3669, 3685, 3688, 3709, 3776, 3818, 3819, 3871, 3874, 3875, 3893, 3936 ]
[ 6 , 6 , 15 ] [ 3347, 3364 ]
[ 6 , 6 , 20 ] [ 3350, 3619, 3687 ]
[ 6 , 8 , 6 ] [ 3431, 3558, 3568 ]
[ 6 , 8 , 7 ] [ 3670, 3673 ]
[ 6 , 8 , 8 ] [ 3432, 3437, 3499, 3523, 3551, 3584, 3726, 3728 ]
[ 6 , 8 , 10 ] [ 3522, 3524 ]
[ 6 , 8 , 12 ] [ 3561, 3690, 3904 ]
[ 6 , 10 , 6 ] [ 3461, 3655, 3708, 3716, 3719, 3730, 3789 ]
[ 6 , 10 , 8 ] [ 3543, 3607, 3638, 3653, 3787, 4012 ]
[ 6 , 10 , 10 ] [ 3433, 3755, 3952 ]
[ 6 , 12 , 6 ] [ 3365, 3381, 3391, 3528, 3534, 3539, 3540, 3547, 3605, 3628, 3652, 3725, 3880 ]
[ 6 , 12 , 8 ] [ 3542, 3651, 3741, 3909, 3920 ]
[ 6 , 12 , 10 ] [ 3348, 3380, 3440, 3488, 3489 ]
[ 6 , 12 , 12 ] [ 3371, 3377, 3472, 3610, 3661, 3686, 3739, 3823, 3876, 3896 ]
[ 6 , 12 , 14 ] [ 3678 ]
[ 6 , 12 , 15 ] [ 3366 ]
[ 6 , 12 , 21 ] [ 3552 ]
[ 6 , 12 , 30 ] [ 3529 ]
[ 6 , 30 , 6 ] [ 3408 ]
[ 6 , 30 , 7 ] [ 3620, 3622 ]
[ 6 , 30 , 12 ] [ 3603 ]
[ 8 , 4 , 8 ] [ 4286 ]
[ 8 , 4 , 10 ] [ 3554 ]
[ 8 , 4 , 12 ] [ 4279 ]
[ 8 , 8 , 12 ] [ 4280, 4281, 4282 ]
[ 10 , 3 , 10 ] [ 3760 ]
[ 10 , 4 , 12 ] [ 3503, 3504, 3508, 3510, 3665, 3666 ]
[ 10 , 6 , 10 ] [ 3748 ]
[ 10 , 6 , 12 ] [ 3668 ]
[ 10 , 8 , 12 ] [ 3667 ]
[ 10 , 10 , 10 ] [ 3756 ]
[ 10 , 10 , 12 ] [ 3906 ]
[ 10 , 12 , 12 ] [ 3664 ]
[ 12 , 3 , 12 ] [ 4145, 4246 ]
[ 12 , 6 , 12 ] [ 4258 ]

Number of polytopes of rank 5 : 183

Polytopes References
[ 3 , 3 , 6 , 6 ] [ 4319, 4320 ]
[ 3 , 3 , 6 , 9 ] [ 4287 ]
[ 3 , 4 , 4 , 4 ] [ 4412 ]
[ 3 , 4 , 4 , 6 ] [ 4374 ]
[ 3 , 4 , 4 , 10 ] [ 4387 ]
[ 3 , 4 , 6 , 4 ] [ 4379, 4433 ]
[ 3 , 4 , 6 , 5 ] [ 4348 ]
[ 3 , 4 , 6 , 6 ] [ 4428 ]
[ 3 , 4 , 10 , 5 ] [ 4313 ]
[ 3 , 5 , 3 , 4 ] [ 4432 ]
[ 3 , 5 , 3 , 6 ] [ 4306 ]
[ 3 , 5 , 6 , 4 ] [ 4431 ]
[ 3 , 6 , 3 , 4 ] [ 4415 ]
[ 3 , 6 , 4 , 4 ] [ 4411 ]
[ 3 , 6 , 4 , 6 ] [ 4302, 4307, 4377, 4413, 4414 ]
[ 3 , 6 , 4 , 10 ] [ 4308 ]
[ 3 , 6 , 5 , 3 ] [ 4303 ]
[ 3 , 6 , 5 , 4 ] [ 4321, 4322, 4328, 4372 ]
[ 3 , 6 , 5 , 6 ] [ 4301, 4309 ]
[ 3 , 6 , 5 , 8 ] [ 4367, 4373 ]
[ 3 , 6 , 6 , 3 ] [ 4323 ]
[ 3 , 6 , 6 , 4 ] [ 4380, 4424 ]
[ 3 , 6 , 6 , 5 ] [ 4350 ]
[ 3 , 6 , 6 , 6 ] [ 4298, 4305, 4378, 4392 ]
[ 3 , 6 , 6 , 8 ] [ 4324 ]
[ 3 , 6 , 8 , 3 ] [ 4304 ]
[ 3 , 6 , 8 , 6 ] [ 4335 ]
[ 3 , 6 , 10 , 3 ] [ 4391 ]
[ 3 , 6 , 10 , 5 ] [ 4314 ]
[ 3 , 6 , 12 , 4 ] [ 4326 ]
[ 3 , 6 , 12 , 8 ] [ 4327 ]
[ 3 , 6 , 12 , 9 ] [ 4295, 4310 ]
[ 3 , 6 , 15 , 9 ] [ 4344, 4358 ]
[ 3 , 6 , 21 , 4 ] [ 4334 ]
[ 3 , 6 , 21 , 6 ] [ 4299 ]
[ 3 , 6 , 21 , 7 ] [ 4346, 4357 ]
[ 3 , 6 , 21 , 9 ] [ 4343, 4345, 4355, 4359 ]
[ 3 , 6 , 21 , 10 ] [ 4300 ]
[ 3 , 6 , 21 , 12 ] [ 4331 ]
[ 3 , 8 , 4 , 6 ] [ 4386 ]
[ 3 , 8 , 6 , 3 ] [ 4366 ]
[ 4 , 3 , 4 , 4 ] [ 4467 ]
[ 4 , 3 , 4 , 6 ] [ 4416 ]
[ 4 , 3 , 5 , 4 ] [ 4468 ]
[ 4 , 3 , 6 , 4 ] [ 4455 ]
[ 4 , 3 , 6 , 6 ] [ 4336, 4418 ]
[ 4 , 3 , 6 , 8 ] [ 4434 ]
[ 4 , 3 , 6 , 15 ] [ 4339 ]
[ 4 , 3 , 12 , 4 ] [ 4454 ]
[ 4 , 4 , 3 , 6 ] [ 4365 ]
[ 4 , 4 , 4 , 4 ] [ 4438, 4457, 4462, 4465 ]
[ 4 , 4 , 4 , 6 ] [ 4384, 4409, 4410 ]
[ 4 , 4 , 4 , 8 ] [ 4464 ]
[ 4 , 4 , 6 , 4 ] [ 4443, 4452, 4459 ]
[ 4 , 4 , 6 , 5 ] [ 4381 ]
[ 4 , 4 , 10 , 4 ] [ 4444 ]
[ 4 , 4 , 10 , 5 ] [ 4382 ]
[ 4 , 5 , 4 , 4 ] [ 4450 ]
[ 4 , 5 , 6 , 4 ] [ 4445 ]
[ 4 , 5 , 10 , 4 ] [ 4437 ]
[ 4 , 6 , 3 , 12 ] [ 4435 ]
[ 4 , 6 , 3 , 15 ] [ 4340 ]
[ 4 , 6 , 4 , 4 ] [ 4442, 4448, 4449, 4451, 4456, 4461, 4463 ]
[ 4 , 6 , 4 , 6 ] [ 4337, 4341, 4383, 4417, 4426 ]
[ 4 , 6 , 4 , 8 ] [ 4440 ]
[ 4 , 6 , 4 , 10 ] [ 4338 ]
[ 4 , 6 , 4 , 15 ] [ 4342 ]
[ 4 , 6 , 5 , 6 ] [ 4427 ]
[ 4 , 6 , 6 , 6 ] [ 4316, 4318, 4429, 4430 ]
[ 4 , 6 , 6 , 7 ] [ 4447 ]
[ 4 , 6 , 6 , 8 ] [ 4439, 4469 ]
[ 4 , 6 , 10 , 4 ] [ 4436 ]
[ 4 , 6 , 12 , 4 ] [ 4441 ]
[ 4 , 6 , 12 , 6 ] [ 4317 ]
[ 4 , 8 , 4 , 4 ] [ 4460 ]
[ 4 , 10 , 3 , 4 ] [ 4453, 4466 ]
[ 4 , 10 , 4 , 4 ] [ 4458 ]
[ 4 , 12 , 6 , 4 ] [ 4446 ]
[ 4 , 15 , 6 , 5 ] [ 4329 ]
[ 4 , 30 , 4 , 5 ] [ 4330 ]
[ 5 , 3 , 6 , 7 ] [ 4289 ]
[ 5 , 4 , 4 , 12 ] [ 4408 ]
[ 5 , 4 , 6 , 7 ] [ 4362 ]
[ 5 , 4 , 30 , 5 ] [ 4364 ]
[ 5 , 4 , 30 , 6 ] [ 4351 ]
[ 5 , 4 , 30 , 7 ] [ 4352, 4363 ]
[ 5 , 4 , 30 , 12 ] [ 4333 ]
[ 5 , 5 , 6 , 7 ] [ 4290 ]
[ 5 , 6 , 3 , 7 ] [ 4353 ]
[ 5 , 6 , 4 , 7 ] [ 4368, 4369 ]
[ 5 , 6 , 4 , 12 ] [ 4404, 4405, 4407 ]
[ 5 , 6 , 6 , 6 ] [ 4291, 4325 ]
[ 5 , 6 , 6 , 7 ] [ 4288, 4354, 4393, 4394 ]
[ 5 , 6 , 12 , 7 ] [ 4311 ]
[ 5 , 6 , 12 , 12 ] [ 4297 ]
[ 5 , 6 , 15 , 6 ] [ 4292 ]
[ 5 , 6 , 15 , 7 ] [ 4347, 4356 ]
[ 5 , 6 , 15 , 12 ] [ 4332 ]
[ 5 , 10 , 4 , 7 ] [ 4370 ]
[ 5 , 10 , 4 , 12 ] [ 4406 ]
[ 5 , 10 , 6 , 6 ] [ 4312 ]
[ 5 , 10 , 6 , 7 ] [ 4360, 4395 ]
[ 5 , 15 , 6 , 5 ] [ 4293 ]
[ 6 , 4 , 3 , 10 ] [ 4349 ]
[ 6 , 4 , 4 , 6 ] [ 4375, 4376, 4385, 4419, 4420 ]
[ 6 , 4 , 4 , 7 ] [ 4371 ]
[ 6 , 4 , 4 , 10 ] [ 4388, 4389, 4390 ]
[ 6 , 4 , 6 , 6 ] [ 4401, 4402, 4421, 4422, 4423 ]
[ 6 , 4 , 6 , 7 ] [ 4361, 4396 ]
[ 6 , 4 , 6 , 10 ] [ 4294, 4399 ]
[ 6 , 4 , 8 , 7 ] [ 4400, 4403 ]
[ 6 , 4 , 12 , 6 ] [ 4397, 4398 ]
[ 6 , 6 , 6 , 6 ] [ 4296, 4315, 4425 ]

Number of polytopes of rank 6 : 75

Polytopes References
[ 3 , 3 , 3 , 6 , 8 ] [ 4488 ]
[ 3 , 3 , 6 , 3 , 6 ] [ 4474 ]
[ 3 , 3 , 6 , 4 , 4 ] [ 4483, 4516 ]
[ 3 , 3 , 6 , 4 , 6 ] [ 4513, 4514 ]
[ 3 , 3 , 6 , 6 , 4 ] [ 4499, 4501 ]
[ 3 , 3 , 6 , 6 , 6 ] [ 4475, 4476 ]
[ 3 , 3 , 6 , 12 , 4 ] [ 4492 ]
[ 3 , 3 , 6 , 12 , 6 ] [ 4473 ]
[ 3 , 4 , 4 , 4 , 4 ] [ 4526 ]
[ 3 , 4 , 4 , 6 , 4 ] [ 4521, 4524 ]
[ 3 , 4 , 6 , 3 , 3 ] [ 4515 ]
[ 3 , 4 , 6 , 6 , 4 ] [ 4486, 4494 ]
[ 3 , 6 , 3 , 4 , 4 ] [ 4502 ]
[ 3 , 6 , 3 , 6 , 6 ] [ 4472 ]
[ 3 , 6 , 4 , 4 , 4 ] [ 4487, 4525 ]
[ 3 , 6 , 4 , 4 , 5 ] [ 4519 ]
[ 3 , 6 , 4 , 6 , 4 ] [ 4504, 4512, 4522, 4523 ]
[ 3 , 6 , 4 , 6 , 5 ] [ 4471, 4511, 4517 ]
[ 3 , 6 , 4 , 10 , 5 ] [ 4482 ]
[ 3 , 6 , 6 , 3 , 3 ] [ 4479 ]
[ 3 , 6 , 6 , 4 , 3 ] [ 4477 ]
[ 3 , 6 , 6 , 4 , 4 ] [ 4518 ]
[ 3 , 6 , 6 , 6 , 3 ] [ 4478 ]
[ 3 , 6 , 6 , 6 , 4 ] [ 4485, 4495 ]
[ 4 , 3 , 3 , 6 , 4 ] [ 4533, 4535 ]
[ 4 , 3 , 3 , 6 , 5 ] [ 4505 ]
[ 4 , 3 , 3 , 6 , 6 ] [ 4530 ]
[ 4 , 3 , 6 , 4 , 4 ] [ 4541, 4542 ]
[ 4 , 3 , 6 , 4 , 5 ] [ 4509 ]
[ 4 , 3 , 6 , 4 , 6 ] [ 4508, 4510, 4520, 4527, 4529 ]
[ 4 , 3 , 6 , 6 , 4 ] [ 4536 ]
[ 4 , 3 , 6 , 6 , 5 ] [ 4506 ]
[ 4 , 3 , 6 , 6 , 6 ] [ 4503, 4528 ]
[ 4 , 3 , 6 , 10 , 5 ] [ 4507 ]
[ 4 , 4 , 4 , 4 , 4 ] [ 4544 ]
[ 4 , 4 , 6 , 3 , 4 ] [ 4543 ]
[ 4 , 4 , 6 , 6 , 4 ] [ 4532, 4534 ]
[ 4 , 4 , 6 , 6 , 6 ] [ 4496 ]
[ 4 , 6 , 3 , 6 , 6 ] [ 4484 ]
[ 4 , 6 , 3 , 6 , 7 ] [ 4531 ]
[ 4 , 6 , 4 , 4 , 4 ] [ 4539 ]
[ 4 , 6 , 6 , 3 , 7 ] [ 4537 ]
[ 4 , 6 , 6 , 4 , 7 ] [ 4538 ]
[ 4 , 6 , 6 , 6 , 6 ] [ 4493 ]
[ 4 , 6 , 6 , 6 , 7 ] [ 4540 ]
[ 4 , 12 , 6 , 3 , 5 ] [ 4497 ]
[ 4 , 12 , 6 , 5 , 5 ] [ 4498 ]
[ 5 , 3 , 6 , 6 , 6 ] [ 4489 ]
[ 5 , 3 , 6 , 12 , 6 ] [ 4500 ]
[ 5 , 4 , 6 , 6 , 6 ] [ 4491 ]
[ 5 , 5 , 6 , 6 , 6 ] [ 4480 ]
[ 5 , 5 , 6 , 12 , 6 ] [ 4481 ]
[ 5 , 6 , 3 , 6 , 6 ] [ 4470 ]
[ 6 , 6 , 6 , 4 , 6 ] [ 4490 ]

Number of polytopes of rank 7 : 40

Polytopes References
[ 3 , 3 , 3 , 3 , 6 , 7 ] [ 4545 ]
[ 3 , 3 , 3 , 6 , 3 , 7 ] [ 4571 ]
[ 3 , 3 , 3 , 6 , 4 , 3 ] [ 4552 ]
[ 3 , 3 , 3 , 6 , 4 , 4 ] [ 4573 ]
[ 3 , 3 , 3 , 6 , 4 , 7 ] [ 4572 ]
[ 3 , 3 , 3 , 6 , 6 , 3 ] [ 4554 ]
[ 3 , 3 , 3 , 6 , 6 , 6 ] [ 4551 ]
[ 3 , 3 , 3 , 6 , 6 , 7 ] [ 4575 ]
[ 3 , 3 , 6 , 3 , 4 , 6 ] [ 4553 ]
[ 3 , 3 , 6 , 4 , 4 , 3 ] [ 4574 ]
[ 3 , 3 , 6 , 4 , 6 , 3 ] [ 4555 ]
[ 3 , 6 , 3 , 3 , 3 , 4 ] [ 4567 ]
[ 3 , 6 , 4 , 4 , 6 , 4 ] [ 4579 ]
[ 3 , 6 , 4 , 6 , 6 , 4 ] [ 4561 ]
[ 4 , 3 , 3 , 3 , 6 , 4 ] [ 4581 ]
[ 4 , 3 , 3 , 6 , 4 , 4 ] [ 4583 ]
[ 4 , 3 , 3 , 6 , 6 , 4 ] [ 4582 ]
[ 4 , 3 , 6 , 3 , 6 , 5 ] [ 4562 ]
[ 4 , 3 , 6 , 4 , 4 , 6 ] [ 4580 ]
[ 4 , 3 , 6 , 6 , 3 , 4 ] [ 4584 ]
[ 4 , 3 , 6 , 6 , 3 , 5 ] [ 4563 ]
[ 4 , 3 , 6 , 6 , 4 , 5 ] [ 4566 ]
[ 4 , 3 , 6 , 6 , 4 , 6 ] [ 4565 ]
[ 4 , 3 , 6 , 6 , 5 , 5 ] [ 4564 ]
[ 4 , 6 , 3 , 3 , 6 , 6 ] [ 4560 ]
[ 5 , 3 , 6 , 6 , 3 , 5 ] [ 4568 ]
[ 5 , 3 , 6 , 6 , 4 , 5 ] [ 4570 ]
[ 5 , 3 , 6 , 6 , 4 , 6 ] [ 4569 ]
[ 5 , 4 , 6 , 6 , 4 , 5 ] [ 4578 ]
[ 5 , 4 , 6 , 6 , 4 , 6 ] [ 4577 ]
[ 5 , 5 , 6 , 6 , 3 , 5 ] [ 4556 ]
[ 5 , 5 , 6 , 6 , 4 , 5 ] [ 4559 ]
[ 5 , 5 , 6 , 6 , 4 , 6 ] [ 4558 ]
[ 5 , 5 , 6 , 6 , 5 , 5 ] [ 4557 ]
[ 5 , 6 , 3 , 3 , 6 , 5 ] [ 4546 ]
[ 5 , 6 , 3 , 6 , 3 , 5 ] [ 4547 ]
[ 5 , 6 , 3 , 6 , 4 , 5 ] [ 4550 ]
[ 5 , 6 , 3 , 6 , 4 , 6 ] [ 4549 ]
[ 5 , 6 , 3 , 6 , 5 , 5 ] [ 4548 ]
[ 6 , 4 , 6 , 6 , 4 , 6 ] [ 4576 ]

Number of polytopes of rank 8 : 9

Polytopes References
[ 3 , 3 , 3 , 3 , 3 , 6 , 6 ] [ 4585 ]
[ 3 , 3 , 3 , 6 , 3 , 3 , 4 ] [ 4592 ]
[ 3 , 6 , 4 , 6 , 3 , 3 , 3 ] [ 4586 ]
[ 4 , 3 , 6 , 3 , 3 , 6 , 4 ] [ 4593 ]
[ 4 , 6 , 3 , 3 , 3 , 6 , 5 ] [ 4587 ]
[ 4 , 6 , 3 , 3 , 6 , 3 , 5 ] [ 4588 ]
[ 4 , 6 , 3 , 3 , 6 , 4 , 5 ] [ 4591 ]
[ 4 , 6 , 3 , 3 , 6 , 4 , 6 ] [ 4590 ]
[ 4 , 6 , 3 , 3 , 6 , 5 , 5 ] [ 4589 ]

Number of polytopes of rank 9 : 7

Polytopes References
[ 3 , 3 , 3 , 3 , 3 , 3 , 6 , 5 ] [ 4594 ]
[ 3 , 3 , 3 , 3 , 3 , 6 , 3 , 4 ] [ 4599 ]
[ 3 , 3 , 3 , 3 , 3 , 6 , 3 , 5 ] [ 4595 ]
[ 3 , 3 , 3 , 3 , 3 , 6 , 4 , 5 ] [ 4598 ]
[ 3 , 3 , 3 , 3 , 3 , 6 , 4 , 6 ] [ 4597 ]
[ 3 , 3 , 3 , 3 , 3 , 6 , 5 , 5 ] [ 4596 ]
[ 4 , 6 , 3 , 3 , 3 , 3 , 6 , 4 ] [ 4600 ]

Number of polytopes of rank 10 : 1

Polytopes References
[ 3 , 3 , 3 , 3 , 3 , 3 , 3 , 6 , 4 ] [ 4601 ]

Number of polytopes of rank 11 : 1

Polytopes References
[ 3 , 3 , 3 , 3 , 3 , 3 , 3 , 3 , 3 , 3 ] [ 4602 ]