Group : Sym( 13 )

Order : 6227020800

Download a file containing the generators referenced below.
Total number of polytopes : 8414

Number of polytopes of rank 3 : 7163

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

Number of polytopes of rank 4 : 863

Polytopes References
[ 3 , 3 , 14 ] [ 7339 ]
[ 3 , 4 , 6 ] [ 7247 ]
[ 3 , 4 , 12 ] [ 7250, 7267, 7376 ]
[ 3 , 4 , 14 ] [ 7168 ]
[ 3 , 4 , 20 ] [ 7176, 7506 ]
[ 3 , 4 , 28 ] [ 7196 ]
[ 3 , 4 , 30 ] [ 7393 ]
[ 3 , 6 , 4 ] [ 7494, 7497 ]
[ 3 , 6 , 6 ] [ 7192, 7216, 7269, 7279, 7482, 7486 ]
[ 3 , 6 , 7 ] [ 7344 ]
[ 3 , 6 , 11 ] [ 7164 ]
[ 3 , 6 , 12 ] [ 7270, 7277, 7278, 7377, 7485, 7488, 7498, 7500 ]
[ 3 , 6 , 14 ] [ 7170, 7528 ]
[ 3 , 6 , 20 ] [ 7180, 7663 ]
[ 3 , 6 , 21 ] [ 7195, 7343, 7351, 7530 ]
[ 3 , 6 , 28 ] [ 7529 ]
[ 3 , 6 , 30 ] [ 7341, 7350, 7394 ]
[ 3 , 8 , 6 ] [ 7253 ]
[ 3 , 8 , 20 ] [ 7183 ]
[ 3 , 10 , 6 ] [ 7271, 7447, 7512 ]
[ 3 , 10 , 10 ] [ 7181 ]
[ 3 , 10 , 12 ] [ 7513 ]
[ 3 , 10 , 15 ] [ 7184 ]
[ 3 , 10 , 20 ] [ 7345 ]
[ 3 , 10 , 24 ] [ 7758 ]
[ 3 , 12 , 4 ] [ 7507 ]
[ 3 , 12 , 6 ] [ 7268, 7441, 7461, 7502, 7503 ]
[ 3 , 12 , 8 ] [ 7352 ]
[ 3 , 12 , 12 ] [ 7249, 7266, 7487 ]
[ 3 , 12 , 14 ] [ 7193 ]
[ 3 , 12 , 20 ] [ 7496 ]
[ 3 , 12 , 30 ] [ 7297, 7340, 7348 ]
[ 4 , 3 , 6 ] [ 7595 ]
[ 4 , 3 , 12 ] [ 7839 ]
[ 4 , 3 , 14 ] [ 7821 ]
[ 4 , 3 , 15 ] [ 7593 ]
[ 4 , 3 , 20 ] [ 7820, 7840 ]
[ 4 , 4 , 4 ] [ 7824 ]
[ 4 , 4 , 6 ] [ 7335, 7336, 7346, 7505, 7517, 7706, 7708, 7722 ]
[ 4 , 4 , 10 ] [ 7518 ]
[ 4 , 4 , 12 ] [ 7772, 7802, 7805, 7806, 7825, 7846, 8015 ]
[ 4 , 4 , 14 ] [ 7761, 7813 ]
[ 4 , 4 , 15 ] [ 7347, 7634 ]
[ 4 , 4 , 20 ] [ 7766 ]
[ 4 , 4 , 30 ] [ 7405, 7701 ]
[ 4 , 5 , 6 ] [ 7577 ]
[ 4 , 5 , 14 ] [ 7832 ]
[ 4 , 5 , 28 ] [ 7833 ]
[ 4 , 5 , 30 ] [ 7639 ]
[ 4 , 6 , 4 ] [ 7829, 7903, 7954, 7978, 7988 ]
[ 4 , 6 , 5 ] [ 7369 ]
[ 4 , 6 , 6 ] [ 7414, 7430, 7438, 7462, 7468, 7495, 7501, 7537, 7543, 7548, 7554, 7592, 7596, 7597, 7598, 7599, 7679, 7691, 7692, 7698, 7710, 7712, 7713, 7714, 7715, 7717, 7725 ]
[ 4 , 6 , 8 ] [ 7850, 7906, 8004 ]
[ 4 , 6 , 10 ] [ 7539, 7559 ]
[ 4 , 6 , 12 ] [ 7773, 7778, 7779, 7781, 7789, 7791, 7795, 7798, 7810, 7849, 7855, 7865, 7867, 7948, 7950, 7969, 8007, 8014 ]
[ 4 , 6 , 14 ] [ 7823, 7834, 7842, 7853, 7910 ]
[ 4 , 6 , 18 ] [ 7759, 7817, 7822, 7907, 7911, 7935 ]
[ 4 , 6 , 20 ] [ 7814, 7816, 7835, 7838, 7845, 7861, 7886 ]
[ 4 , 6 , 24 ] [ 7775, 7786, 7787 ]
[ 4 , 6 , 28 ] [ 7760, 7856, 7862 ]
[ 4 , 6 , 30 ] [ 7428, 7601, 7603 ]
[ 4 , 8 , 6 ] [ 7678, 7697 ]
[ 4 , 9 , 6 ] [ 7538, 7568, 7569, 7600 ]
[ 4 , 9 , 10 ] [ 7540 ]
[ 4 , 9 , 12 ] [ 7790, 7792, 7799 ]
[ 4 , 9 , 14 ] [ 7843 ]
[ 4 , 10 , 5 ] [ 7385, 7386 ]
[ 4 , 10 , 6 ] [ 7572, 7576, 7720 ]
[ 4 , 10 , 10 ] [ 7476, 7478, 7566, 7670 ]
[ 4 , 10 , 12 ] [ 7774, 7807, 7808, 7809, 7827, 7828 ]
[ 4 , 10 , 14 ] [ 7769 ]
[ 4 , 10 , 15 ] [ 7638 ]
[ 4 , 10 , 20 ] [ 7763, 7815, 7844 ]
[ 4 , 10 , 28 ] [ 7770 ]
[ 4 , 10 , 30 ] [ 7637, 7703 ]
[ 4 , 12 , 4 ] [ 7836, 7854, 7866, 7873, 7883, 7887, 7888, 7895, 7914, 7947, 7965, 7987 ]
[ 4 , 12 , 5 ] [ 7378, 7382 ]
[ 4 , 12 , 6 ] [ 7364, 7374, 7375, 7397, 7398, 7399, 7400, 7404, 7409, 7424, 7432, 7434, 7439, 7448, 7463, 7469, 7493, 7516, 7519, 7541, 7547, 7549, 7551, 7552, 7553, 7591, 7629, 7633, 7640, 7641, 7672, 7687, 7700, 7707, 7711, 7716, 7718, 7719, 7723, 7724 ]
[ 4 , 12 , 8 ] [ 7848, 7852, 7924, 7970, 7999, 8002, 8003 ]
[ 4 , 12 , 10 ] [ 7536, 7545, 7555, 7556, 7557, 7558, 7680, 7682, 7685, 7726, 7727 ]
[ 4 , 12 , 12 ] [ 7771, 7777, 7794, 7818, 7830, 7881, 7890, 7923, 7949, 7953, 7956, 7959, 7966, 7967, 7981, 7982, 7984, 7990, 7991, 8006, 8008, 8009, 8011, 8013 ]
[ 4 , 12 , 14 ] [ 7933, 7961, 7963, 7971 ]
[ 4 , 12 , 15 ] [ 7594, 7631, 7642 ]
[ 4 , 12 , 18 ] [ 7768, 7811, 7831, 7925, 7934, 7944 ]
[ 4 , 12 , 20 ] [ 7762, 7764, 7826, 7837, 7874, 7889, 7915, 7932, 7939, 7955, 7983, 8012 ]
[ 4 , 12 , 21 ] [ 7819, 7851 ]
[ 4 , 12 , 24 ] [ 7776, 7785, 7788 ]
[ 4 , 12 , 28 ] [ 7812 ]
[ 4 , 12 , 30 ] [ 7402, 7442, 7443, 7449, 7602, 7604, 7702 ]
[ 4 , 15 , 4 ] [ 7897, 7905, 7946, 7951, 7952, 7985 ]
[ 4 , 15 , 6 ] [ 7417, 7426, 7466, 7481, 7574, 7709, 7721 ]
[ 4 , 15 , 8 ] [ 7942 ]
[ 4 , 15 , 10 ] [ 7477, 7479, 7567, 7671 ]
[ 4 , 15 , 12 ] [ 7900, 7901, 7957, 7958, 7974, 7975, 7976, 7986 ]
[ 4 , 15 , 14 ] [ 7898, 7902 ]
[ 4 , 15 , 15 ] [ 7429 ]
[ 4 , 15 , 18 ] [ 7929, 7943 ]
[ 4 , 15 , 20 ] [ 7920, 7972 ]
[ 4 , 15 , 28 ] [ 7973, 7977 ]
[ 4 , 15 , 30 ] [ 7704 ]
[ 4 , 20 , 4 ] [ 7892, 7893, 7899 ]
[ 4 , 20 , 5 ] [ 7379 ]
[ 4 , 20 , 6 ] [ 7401, 7406, 7416, 7480, 7630, 7635 ]
[ 4 , 20 , 8 ] [ 7885, 8001 ]
[ 4 , 20 , 10 ] [ 7686 ]
[ 4 , 20 , 12 ] [ 7872, 7879, 7891, 7894, 7904, 7960, 7968, 8005 ]
[ 4 , 20 , 14 ] [ 7962, 7964 ]
[ 4 , 20 , 15 ] [ 7632, 7636 ]
[ 4 , 20 , 21 ] [ 7884, 7997, 8000 ]
[ 4 , 20 , 30 ] [ 7403, 7407 ]
[ 4 , 21 , 4 ] [ 7896, 7917 ]
[ 4 , 21 , 6 ] [ 7412, 7450, 7544, 7550 ]
[ 4 , 21 , 8 ] [ 7926, 7936 ]
[ 4 , 21 , 10 ] [ 7546, 7579 ]
[ 4 , 21 , 12 ] [ 7916, 7922 ]
[ 4 , 21 , 14 ] [ 7931, 7938 ]
[ 4 , 21 , 18 ] [ 7927, 7930, 7937, 7945 ]
[ 4 , 21 , 20 ] [ 7918, 7921, 7940 ]
[ 4 , 28 , 4 ] [ 7870, 7875 ]
[ 4 , 28 , 5 ] [ 7380, 7383 ]
[ 4 , 28 , 6 ] [ 7372, 7381, 7575 ]
[ 4 , 28 , 8 ] [ 7980, 7993 ]
[ 4 , 28 , 12 ] [ 7868, 7869, 7871, 7876, 7877, 7878, 7880, 7882 ]
[ 4 , 28 , 15 ] [ 7373, 7384 ]
[ 4 , 28 , 21 ] [ 7979, 7992, 7994, 7995, 7996, 7998 ]
[ 4 , 30 , 4 ] [ 7857 ]
[ 4 , 30 , 6 ] [ 7410, 7542 ]
[ 4 , 30 , 8 ] [ 7908 ]
[ 4 , 30 , 12 ] [ 7858, 7859, 7919 ]
[ 4 , 30 , 14 ] [ 7913, 7928 ]
[ 4 , 30 , 18 ] [ 7909, 7912 ]
[ 4 , 30 , 20 ] [ 7864, 7941 ]
[ 4 , 30 , 28 ] [ 7860, 7863 ]
[ 4 , 30 , 30 ] [ 7445 ]
[ 4 , 42 , 10 ] [ 7578 ]
[ 5 , 3 , 6 ] [ 7222 ]
[ 5 , 4 , 6 ] [ 7289 ]
[ 5 , 5 , 6 ] [ 7301 ]
[ 5 , 6 , 6 ] [ 7239, 7305, 7306, 7308, 7309, 7310, 7311 ]
[ 5 , 6 , 18 ] [ 7165 ]
[ 5 , 6 , 20 ] [ 7390 ]
[ 5 , 8 , 6 ] [ 7290, 7303 ]
[ 5 , 10 , 6 ] [ 7240, 7304 ]
[ 5 , 10 , 18 ] [ 7166 ]
[ 5 , 10 , 20 ] [ 7392 ]
[ 5 , 12 , 6 ] [ 7223, 7224 ]
[ 6 , 3 , 6 ] [ 7232, 7483 ]
[ 6 , 3 , 8 ] [ 7562 ]
[ 6 , 3 , 9 ] [ 7616 ]
[ 6 , 3 , 11 ] [ 7618 ]
[ 6 , 3 , 12 ] [ 7233, 7499 ]
[ 6 , 3 , 24 ] [ 7617 ]
[ 6 , 4 , 6 ] [ 7197, 7251, 7256, 7281, 7284, 7285, 7294, 7395, 7508, 7752 ]
[ 6 , 4 , 9 ] [ 7751 ]
[ 6 , 4 , 10 ] [ 7178, 7185, 7282, 7283, 7298 ]
[ 6 , 4 , 11 ] [ 7749 ]
[ 6 , 4 , 12 ] [ 7199, 7248, 7257, 7261, 7263, 7286, 7296, 7514, 7684, 7689, 7742, 7744, 7747, 7748, 7753 ]
[ 6 , 4 , 15 ] [ 7255, 7262, 7510 ]
[ 6 , 4 , 18 ] [ 7167 ]
[ 6 , 4 , 20 ] [ 7179, 7750 ]
[ 6 , 4 , 21 ] [ 7169, 7314, 7363 ]
[ 6 , 4 , 30 ] [ 7292, 7732 ]
[ 6 , 5 , 6 ] [ 7214 ]
[ 6 , 5 , 10 ] [ 7324 ]
[ 6 , 5 , 11 ] [ 7673, 7676 ]
[ 6 , 5 , 12 ] [ 7338 ]
[ 6 , 6 , 6 ] [ 7200, 7203, 7204, 7207, 7208, 7209, 7210, 7227, 7228, 7229, 7231, 7235, 7236, 7241, 7242, 7243, 7245, 7272, 7273, 7276, 7353, 7355, 7391, 7420, 7427, 7460, 7484, 7490, 7665, 7729 ]
[ 6 , 6 , 8 ] [ 7431, 7435, 7563, 7614, 7683, 7693, 7694, 7695 ]
[ 6 , 6 , 9 ] [ 7333 ]
[ 6 , 6 , 10 ] [ 7173, 7182, 7211, 7212, 7220, 7221, 7225, 7318, 7319, 7320, 7321, 7330, 7421, 7491, 7666 ]
[ 6 , 6 , 11 ] [ 7677 ]
[ 6 , 6 , 12 ] [ 7217, 7219, 7230, 7244, 7246, 7326, 7327, 7354, 7365, 7367, 7368, 7370, 7418, 7419, 7467, 7472, 7582, 7696, 7699, 7734, 7735, 7743, 7754, 7757 ]
[ 6 , 6 , 14 ] [ 7422 ]
[ 6 , 6 , 15 ] [ 7275, 7489, 7730, 7756 ]
[ 6 , 6 , 18 ] [ 7328, 7615 ]
[ 6 , 6 , 20 ] [ 7171, 7366, 7389, 7459 ]
[ 6 , 6 , 21 ] [ 7362, 7387, 7474 ]
[ 6 , 6 , 24 ] [ 7565, 7590 ]
[ 6 , 6 , 30 ] [ 7331 ]
[ 6 , 8 , 6 ] [ 7205, 7252, 7259, 7280, 7287, 7288, 7293, 7300, 7307 ]
[ 6 , 8 , 12 ] [ 7206, 7681 ]
[ 6 , 8 , 15 ] [ 7258, 7260, 7291 ]
[ 6 , 8 , 18 ] [ 7738 ]
[ 6 , 8 , 20 ] [ 7737 ]
[ 6 , 9 , 6 ] [ 7234, 7237 ]
[ 6 , 9 , 8 ] [ 7619 ]
[ 6 , 9 , 12 ] [ 7583, 7584 ]
[ 6 , 9 , 24 ] [ 7620 ]
[ 6 , 10 , 6 ] [ 7202, 7215, 7323, 7452 ]
[ 6 , 10 , 10 ] [ 7175, 7189, 7238, 7302, 7316, 7504 ]
[ 6 , 10 , 11 ] [ 7739, 7741 ]
[ 6 , 10 , 12 ] [ 7535, 7705, 7728 ]
[ 6 , 10 , 20 ] [ 7317 ]
[ 6 , 12 , 6 ] [ 7213, 7254, 7274, 7359, 7396, 7423, 7425, 7440, 7453, 7455, 7456, 7492, 7653 ]
[ 6 , 12 , 8 ] [ 7433, 7473, 7522 ]
[ 6 , 12 , 10 ] [ 7177, 7226, 7388, 7515 ]
[ 6 , 12 , 12 ] [ 7201, 7264, 7337, 7444, 7454, 7464, 7465, 7470, 7564, 7688, 7745, 7746 ]
[ 6 , 12 , 14 ] [ 7329, 7334, 7531 ]
[ 6 , 12 , 15 ] [ 7265, 7357, 7509, 7511 ]
[ 6 , 12 , 18 ] [ 7322, 7332, 7532 ]
[ 6 , 12 , 20 ] [ 7315, 7325, 7371 ]
[ 6 , 12 , 21 ] [ 7194, 7198, 7342, 7349, 7457, 7524, 7660, 7669 ]
[ 6 , 12 , 30 ] [ 7408, 7659 ]
[ 6 , 15 , 6 ] [ 7415 ]
[ 6 , 15 , 10 ] [ 7458, 7589, 7647 ]
[ 6 , 20 , 6 ] [ 7356, 7360, 7411, 7437, 7523 ]
[ 6 , 20 , 8 ] [ 7525, 7657 ]
[ 6 , 20 , 12 ] [ 7436, 7471, 7475, 7573, 7580, 7585 ]
[ 6 , 20 , 14 ] [ 7534, 7645 ]
[ 6 , 20 , 15 ] [ 7358, 7361, 7662 ]
[ 6 , 20 , 18 ] [ 7526, 7533 ]
[ 6 , 20 , 20 ] [ 7586, 7656 ]
[ 6 , 20 , 21 ] [ 7646, 7661 ]
[ 6 , 20 , 30 ] [ 7446 ]
[ 6 , 21 , 10 ] [ 7413 ]
[ 6 , 28 , 6 ] [ 7451, 7643, 7658 ]
[ 6 , 28 , 8 ] [ 7644, 7654 ]
[ 6 , 28 , 12 ] [ 7588 ]
[ 6 , 28 , 20 ] [ 7581, 7587, 7655 ]
[ 6 , 30 , 6 ] [ 7218 ]
[ 6 , 30 , 21 ] [ 7527 ]
[ 6 , 42 , 10 ] [ 7172 ]
[ 7 , 6 , 14 ] [ 8024 ]
[ 7 , 42 , 10 ] [ 7609, 7623 ]
[ 8 , 6 , 10 ] [ 7520, 7521 ]
[ 8 , 6 , 12 ] [ 8016, 8017, 8022 ]
[ 8 , 10 , 10 ] [ 7667, 7674 ]
[ 8 , 12 , 10 ] [ 7560, 7561 ]
[ 8 , 12 , 12 ] [ 8019, 8021 ]
[ 8 , 12 , 14 ] [ 8025 ]
[ 8 , 15 , 10 ] [ 7668, 7675 ]
[ 9 , 3 , 12 ] [ 8020 ]
[ 9 , 4 , 12 ] [ 8023 ]
[ 9 , 6 , 12 ] [ 7841 ]
[ 9 , 12 , 10 ] [ 7190, 7312 ]
[ 9 , 30 , 10 ] [ 7607, 7625 ]
[ 9 , 42 , 10 ] [ 7606, 7608, 7621, 7627 ]
[ 10 , 4 , 12 ] [ 7295, 7299 ]
[ 10 , 4 , 20 ] [ 7186, 7188, 7733 ]
[ 10 , 12 , 10 ] [ 7187, 7649 ]
[ 10 , 12 , 12 ] [ 7690, 7731, 7736 ]
[ 10 , 12 , 18 ] [ 7191, 7313 ]
[ 10 , 12 , 20 ] [ 7650, 7651, 7652, 7740 ]
[ 10 , 15 , 18 ] [ 7611, 7626 ]
[ 10 , 20 , 14 ] [ 7648 ]
[ 10 , 20 , 20 ] [ 7664 ]
[ 10 , 21 , 10 ] [ 7605 ]
[ 10 , 21 , 12 ] [ 7571 ]
[ 10 , 21 , 14 ] [ 7613, 7624 ]
[ 10 , 21 , 18 ] [ 7610, 7612, 7622, 7628 ]
[ 10 , 42 , 10 ] [ 7174 ]
[ 10 , 42 , 12 ] [ 7570 ]
[ 12 , 3 , 12 ] [ 8010 ]
[ 12 , 3 , 20 ] [ 7780 ]
[ 12 , 4 , 12 ] [ 7803, 7804, 7847 ]
[ 12 , 6 , 12 ] [ 7783, 7989 ]
[ 12 , 6 , 20 ] [ 7765, 7784 ]
[ 12 , 12 , 12 ] [ 7782, 7793, 7796, 7800, 7801 ]
[ 12 , 12 , 15 ] [ 7755 ]
[ 12 , 12 , 20 ] [ 7767, 7797 ]
[ 12 , 20 , 12 ] [ 8018 ]
[ 14 , 3 , 14 ] [ 8026 ]

Number of polytopes of rank 5 : 171

Polytopes References
[ 3 , 3 , 6 , 10 ] [ 8038 ]
[ 3 , 3 , 6 , 12 ] [ 8124 ]
[ 3 , 3 , 6 , 14 ] [ 8036, 8067, 8075 ]
[ 3 , 3 , 12 , 4 ] [ 8122 ]
[ 3 , 4 , 3 , 6 ] [ 8048 ]
[ 3 , 4 , 6 , 4 ] [ 8092 ]
[ 3 , 4 , 6 , 6 ] [ 8072 ]
[ 3 , 4 , 6 , 10 ] [ 8034, 8093 ]
[ 3 , 5 , 6 , 4 ] [ 8081, 8082 ]
[ 3 , 6 , 3 , 6 ] [ 8121 ]
[ 3 , 6 , 4 , 12 ] [ 8083 ]
[ 3 , 6 , 4 , 14 ] [ 8028 ]
[ 3 , 6 , 5 , 5 ] [ 8049, 8050 ]
[ 3 , 6 , 6 , 4 ] [ 8095, 8098, 8130, 8154 ]
[ 3 , 6 , 6 , 5 ] [ 8039, 8046 ]
[ 3 , 6 , 6 , 6 ] [ 8074, 8123, 8125, 8127, 8150 ]
[ 3 , 6 , 6 , 10 ] [ 8035, 8096 ]
[ 3 , 6 , 6 , 12 ] [ 8107 ]
[ 3 , 6 , 12 , 5 ] [ 8040 ]
[ 3 , 6 , 12 , 6 ] [ 8152 ]
[ 3 , 6 , 12 , 10 ] [ 8146 ]
[ 3 , 6 , 12 , 14 ] [ 8129, 8147 ]
[ 3 , 6 , 12 , 21 ] [ 8113 ]
[ 3 , 6 , 20 , 4 ] [ 8133 ]
[ 3 , 6 , 20 , 6 ] [ 8144 ]
[ 3 , 6 , 20 , 10 ] [ 8149 ]
[ 3 , 6 , 20 , 12 ] [ 8134 ]
[ 3 , 6 , 20 , 14 ] [ 8145, 8148 ]
[ 3 , 12 , 4 , 12 ] [ 8157 ]
[ 4 , 3 , 3 , 12 ] [ 8171 ]
[ 4 , 3 , 6 , 6 ] [ 8141, 8164 ]
[ 4 , 3 , 6 , 14 ] [ 8168 ]
[ 4 , 3 , 6 , 20 ] [ 8169 ]
[ 4 , 4 , 3 , 4 ] [ 8187 ]
[ 4 , 4 , 3 , 6 ] [ 8158 ]
[ 4 , 4 , 4 , 6 ] [ 8066 ]
[ 4 , 4 , 4 , 10 ] [ 8068 ]
[ 4 , 4 , 6 , 4 ] [ 8184 ]
[ 4 , 4 , 6 , 5 ] [ 8063, 8064 ]
[ 4 , 4 , 6 , 6 ] [ 8153 ]
[ 4 , 4 , 6 , 10 ] [ 8126, 8155, 8156 ]
[ 4 , 4 , 10 , 5 ] [ 8065 ]
[ 4 , 5 , 3 , 6 ] [ 8159 ]
[ 4 , 5 , 4 , 6 ] [ 8162 ]
[ 4 , 5 , 5 , 6 ] [ 8143 ]
[ 4 , 5 , 6 , 6 ] [ 8115, 8132, 8151 ]
[ 4 , 6 , 3 , 6 ] [ 8097 ]
[ 4 , 6 , 3 , 14 ] [ 8183 ]
[ 4 , 6 , 4 , 6 ] [ 8094, 8104, 8111, 8160, 8161 ]
[ 4 , 6 , 4 , 10 ] [ 8166 ]
[ 4 , 6 , 5 , 4 ] [ 8178, 8179 ]
[ 4 , 6 , 5 , 6 ] [ 8137 ]
[ 4 , 6 , 5 , 10 ] [ 8138 ]
[ 4 , 6 , 5 , 20 ] [ 8173 ]
[ 4 , 6 , 6 , 4 ] [ 8174 ]
[ 4 , 6 , 6 , 5 ] [ 8087, 8088, 8108, 8109 ]
[ 4 , 6 , 6 , 6 ] [ 8090, 8131, 8135, 8163 ]
[ 4 , 6 , 6 , 9 ] [ 8167 ]
[ 4 , 6 , 6 , 20 ] [ 8175 ]
[ 4 , 6 , 10 , 5 ] [ 8089, 8110 ]
[ 4 , 6 , 12 , 4 ] [ 8185 ]
[ 4 , 6 , 12 , 6 ] [ 8136 ]
[ 4 , 6 , 12 , 9 ] [ 8170, 8172 ]
[ 4 , 6 , 15 , 4 ] [ 8188 ]
[ 4 , 6 , 15 , 9 ] [ 8191, 8196 ]
[ 4 , 6 , 20 , 6 ] [ 8139, 8140 ]
[ 4 , 6 , 21 , 4 ] [ 8177 ]
[ 4 , 6 , 21 , 6 ] [ 8078 ]
[ 4 , 6 , 21 , 7 ] [ 8193, 8195 ]
[ 4 , 6 , 21 , 9 ] [ 8190, 8192, 8194, 8197 ]
[ 4 , 6 , 21 , 10 ] [ 8079 ]
[ 4 , 6 , 21 , 12 ] [ 8176 ]
[ 4 , 12 , 4 , 6 ] [ 8086 ]
[ 4 , 12 , 4 , 12 ] [ 8186 ]
[ 4 , 12 , 6 , 4 ] [ 8180, 8181, 8182, 8189 ]
[ 4 , 12 , 6 , 5 ] [ 8076 ]
[ 4 , 12 , 10 , 5 ] [ 8077 ]
[ 5 , 3 , 6 , 6 ] [ 8117 ]
[ 5 , 3 , 6 , 8 ] [ 8070 ]
[ 5 , 4 , 6 , 6 ] [ 8103, 8120 ]
[ 5 , 5 , 4 , 6 ] [ 8057 ]
[ 5 , 5 , 6 , 6 ] [ 8118 ]
[ 5 , 5 , 6 , 8 ] [ 8071 ]
[ 5 , 6 , 3 , 6 ] [ 8031 ]
[ 5 , 6 , 4 , 6 ] [ 8053, 8054, 8055 ]
[ 5 , 6 , 6 , 6 ] [ 8032, 8033, 8101, 8105, 8112, 8116 ]
[ 5 , 6 , 6 , 8 ] [ 8069 ]
[ 5 , 6 , 12 , 6 ] [ 8085 ]
[ 5 , 6 , 12 , 8 ] [ 8084, 8099, 8114 ]
[ 5 , 6 , 12 , 15 ] [ 8030 ]
[ 5 , 10 , 4 , 6 ] [ 8056 ]
[ 5 , 10 , 6 , 6 ] [ 8060, 8061, 8062 ]
[ 5 , 10 , 12 , 6 ] [ 8059 ]
[ 6 , 3 , 3 , 6 ] [ 8041 ]
[ 6 , 3 , 3 , 12 ] [ 8042 ]
[ 6 , 3 , 6 , 6 ] [ 8044 ]
[ 6 , 3 , 6 , 8 ] [ 8128 ]
[ 6 , 4 , 3 , 6 ] [ 8052 ]
[ 6 , 4 , 4 , 6 ] [ 8058, 8165 ]
[ 6 , 4 , 6 , 12 ] [ 8080 ]
[ 6 , 6 , 3 , 10 ] [ 8091 ]
[ 6 , 6 , 3 , 12 ] [ 8045 ]
[ 6 , 6 , 4 , 6 ] [ 8073, 8102, 8106, 8119 ]
[ 6 , 6 , 6 , 6 ] [ 8043, 8047, 8051 ]
[ 6 , 6 , 6 , 7 ] [ 8027 ]
[ 6 , 6 , 6 , 10 ] [ 8029 ]
[ 6 , 6 , 6 , 12 ] [ 8037 ]
[ 6 , 6 , 12 , 8 ] [ 8142 ]
[ 6 , 12 , 4 , 6 ] [ 8100 ]

Number of polytopes of rank 6 : 123

Polytopes References
[ 3 , 3 , 3 , 6 , 6 ] [ 8229 ]
[ 3 , 3 , 3 , 6 , 9 ] [ 8198 ]
[ 3 , 3 , 6 , 4 , 6 ] [ 8218, 8225 ]
[ 3 , 3 , 6 , 4 , 10 ] [ 8208, 8226 ]
[ 3 , 3 , 6 , 5 , 3 ] [ 8221 ]
[ 3 , 3 , 6 , 5 , 4 ] [ 8246, 8247, 8256, 8289 ]
[ 3 , 3 , 6 , 5 , 6 ] [ 8216, 8227 ]
[ 3 , 3 , 6 , 5 , 8 ] [ 8285, 8290 ]
[ 3 , 3 , 6 , 6 , 3 ] [ 8299 ]
[ 3 , 3 , 6 , 6 , 6 ] [ 8212, 8223 ]
[ 3 , 3 , 6 , 6 , 8 ] [ 8248 ]
[ 3 , 3 , 6 , 8 , 3 ] [ 8222 ]
[ 3 , 3 , 6 , 12 , 4 ] [ 8250, 8254 ]
[ 3 , 3 , 6 , 12 , 8 ] [ 8255 ]
[ 3 , 3 , 6 , 12 , 9 ] [ 8209, 8230 ]
[ 3 , 3 , 6 , 15 , 9 ] [ 8272, 8283 ]
[ 3 , 3 , 6 , 21 , 4 ] [ 8262 ]
[ 3 , 3 , 6 , 21 , 6 ] [ 8214 ]
[ 3 , 3 , 6 , 21 , 7 ] [ 8274, 8282 ]
[ 3 , 3 , 6 , 21 , 9 ] [ 8270, 8273, 8280, 8284 ]
[ 3 , 3 , 6 , 21 , 10 ] [ 8215 ]
[ 3 , 3 , 6 , 21 , 12 ] [ 8259 ]
[ 3 , 4 , 6 , 3 , 4 ] [ 8251 ]
[ 3 , 4 , 6 , 3 , 6 ] [ 8217 ]
[ 3 , 4 , 6 , 4 , 5 ] [ 8292 ]
[ 3 , 4 , 6 , 4 , 6 ] [ 8291 ]
[ 3 , 4 , 6 , 6 , 4 ] [ 8242 ]
[ 3 , 4 , 6 , 6 , 5 ] [ 8205 ]
[ 3 , 6 , 3 , 4 , 6 ] [ 8298 ]
[ 3 , 6 , 3 , 5 , 3 ] [ 8224 ]
[ 3 , 6 , 4 , 3 , 6 ] [ 8228 ]
[ 3 , 6 , 4 , 12 , 3 ] [ 8244 ]
[ 3 , 6 , 4 , 12 , 4 ] [ 8245 ]
[ 3 , 6 , 6 , 3 , 4 ] [ 8253 ]
[ 3 , 6 , 6 , 3 , 6 ] [ 8220 ]
[ 3 , 6 , 6 , 4 , 5 ] [ 8297 ]
[ 3 , 6 , 6 , 4 , 6 ] [ 8296 ]
[ 3 , 6 , 6 , 6 , 4 ] [ 8243 ]
[ 3 , 6 , 6 , 6 , 5 ] [ 8207 ]
[ 4 , 3 , 3 , 6 , 10 ] [ 8264 ]
[ 4 , 3 , 3 , 6 , 12 ] [ 8311 ]
[ 4 , 3 , 6 , 3 , 4 ] [ 8318 ]
[ 4 , 3 , 6 , 3 , 10 ] [ 8265 ]
[ 4 , 3 , 6 , 4 , 4 ] [ 8319 ]
[ 4 , 3 , 6 , 6 , 7 ] [ 8310 ]
[ 4 , 3 , 6 , 12 , 6 ] [ 8266 ]
[ 4 , 4 , 6 , 3 , 6 ] [ 8304 ]
[ 4 , 4 , 6 , 4 , 5 ] [ 8295 ]
[ 4 , 4 , 6 , 4 , 6 ] [ 8294 ]
[ 4 , 4 , 6 , 6 , 5 ] [ 8293 ]
[ 4 , 6 , 3 , 6 , 4 ] [ 8320 ]
[ 4 , 6 , 3 , 6 , 6 ] [ 8308 ]
[ 4 , 6 , 3 , 6 , 8 ] [ 8313 ]
[ 4 , 6 , 6 , 3 , 6 ] [ 8239 ]
[ 4 , 6 , 6 , 4 , 4 ] [ 8312, 8316 ]
[ 4 , 6 , 6 , 4 , 6 ] [ 8252, 8309 ]
[ 4 , 6 , 6 , 6 , 4 ] [ 8315, 8317 ]
[ 4 , 6 , 6 , 6 , 6 ] [ 8240, 8241 ]
[ 4 , 6 , 6 , 12 , 4 ] [ 8314 ]
[ 4 , 6 , 6 , 12 , 6 ] [ 8238 ]
[ 4 , 6 , 12 , 6 , 5 ] [ 8263 ]
[ 4 , 15 , 6 , 3 , 5 ] [ 8257 ]
[ 4 , 15 , 6 , 5 , 5 ] [ 8258 ]
[ 5 , 3 , 6 , 3 , 7 ] [ 8277 ]
[ 5 , 3 , 6 , 4 , 7 ] [ 8287 ]
[ 5 , 3 , 6 , 4 , 12 ] [ 8306 ]
[ 5 , 3 , 6 , 6 , 6 ] [ 8249 ]
[ 5 , 3 , 6 , 6 , 7 ] [ 8200, 8301 ]
[ 5 , 3 , 6 , 12 , 7 ] [ 8231 ]
[ 5 , 3 , 6 , 12 , 12 ] [ 8210 ]
[ 5 , 3 , 6 , 15 , 5 ] [ 8268 ]
[ 5 , 3 , 6 , 15 , 6 ] [ 8267 ]
[ 5 , 3 , 6 , 15 , 7 ] [ 8271, 8279 ]
[ 5 , 3 , 6 , 15 , 12 ] [ 8260 ]
[ 5 , 4 , 6 , 4 , 6 ] [ 8305 ]
[ 5 , 4 , 6 , 6 , 7 ] [ 8203 ]
[ 5 , 5 , 6 , 3 , 7 ] [ 8278 ]
[ 5 , 5 , 6 , 4 , 7 ] [ 8288 ]
[ 5 , 5 , 6 , 4 , 12 ] [ 8307 ]
[ 5 , 5 , 6 , 6 , 6 ] [ 8233 ]
[ 5 , 5 , 6 , 6 , 7 ] [ 8201, 8302 ]
[ 5 , 5 , 6 , 12 , 7 ] [ 8232 ]
[ 5 , 5 , 6 , 12 , 12 ] [ 8211 ]
[ 5 , 5 , 6 , 15 , 6 ] [ 8234 ]
[ 5 , 5 , 6 , 15 , 7 ] [ 8275, 8281 ]
[ 5 , 5 , 6 , 15 , 12 ] [ 8261 ]
[ 5 , 6 , 3 , 4 , 6 ] [ 8206 ]
[ 5 , 6 , 3 , 6 , 7 ] [ 8199 ]
[ 5 , 6 , 6 , 3 , 7 ] [ 8276 ]
[ 5 , 6 , 6 , 4 , 6 ] [ 8269 ]
[ 5 , 6 , 6 , 4 , 7 ] [ 8286 ]
[ 5 , 6 , 6 , 6 , 6 ] [ 8204 ]
[ 5 , 6 , 6 , 6 , 7 ] [ 8300 ]
[ 5 , 10 , 6 , 4 , 6 ] [ 8236 ]
[ 5 , 15 , 6 , 5 , 5 ] [ 8235 ]
[ 6 , 3 , 3 , 4 , 6 ] [ 8219 ]
[ 6 , 4 , 6 , 4 , 6 ] [ 8303 ]
[ 6 , 4 , 6 , 6 , 7 ] [ 8202 ]
[ 6 , 6 , 3 , 3 , 6 ] [ 8213 ]
[ 6 , 6 , 3 , 6 , 6 ] [ 8237 ]

Number of polytopes of rank 7 : 41

Polytopes References
[ 3 , 3 , 3 , 3 , 6 , 6 ] [ 8347 ]
[ 3 , 3 , 3 , 3 , 6 , 8 ] [ 8336 ]
[ 3 , 3 , 3 , 6 , 3 , 6 ] [ 8325 ]
[ 3 , 3 , 3 , 6 , 4 , 4 ] [ 8334 ]
[ 3 , 3 , 3 , 6 , 4 , 6 ] [ 8331 ]
[ 3 , 3 , 3 , 6 , 6 , 4 ] [ 8345, 8346 ]
[ 3 , 3 , 3 , 6 , 6 , 6 ] [ 8326, 8327 ]
[ 3 , 3 , 3 , 6 , 12 , 4 ] [ 8340 ]
[ 3 , 3 , 3 , 6 , 12 , 6 ] [ 8324 ]
[ 3 , 3 , 6 , 3 , 4 , 4 ] [ 8348 ]
[ 3 , 3 , 6 , 3 , 6 , 6 ] [ 8323 ]
[ 3 , 3 , 6 , 4 , 4 , 4 ] [ 8335 ]
[ 3 , 3 , 6 , 4 , 6 , 4 ] [ 8356 ]
[ 3 , 3 , 6 , 6 , 3 , 3 ] [ 8330 ]
[ 3 , 3 , 6 , 6 , 4 , 4 ] [ 8355 ]
[ 3 , 4 , 6 , 3 , 6 , 4 ] [ 8342 ]
[ 3 , 4 , 6 , 6 , 3 , 3 ] [ 8328 ]
[ 3 , 6 , 4 , 6 , 3 , 5 ] [ 8354 ]
[ 3 , 6 , 4 , 6 , 5 , 5 ] [ 8333 ]
[ 3 , 6 , 4 , 6 , 6 , 5 ] [ 8322 ]
[ 3 , 6 , 6 , 3 , 6 , 4 ] [ 8344 ]
[ 3 , 6 , 6 , 6 , 3 , 3 ] [ 8329 ]
[ 4 , 3 , 3 , 3 , 3 , 6 ] [ 8353 ]
[ 4 , 3 , 3 , 6 , 3 , 5 ] [ 8351 ]
[ 4 , 3 , 3 , 6 , 5 , 5 ] [ 8352 ]
[ 4 , 3 , 3 , 6 , 6 , 5 ] [ 8350 ]
[ 4 , 3 , 6 , 3 , 6 , 6 ] [ 8349 ]
[ 4 , 6 , 3 , 3 , 6 , 7 ] [ 8357 ]
[ 4 , 6 , 3 , 6 , 3 , 7 ] [ 8359 ]
[ 4 , 6 , 3 , 6 , 4 , 4 ] [ 8358 ]
[ 4 , 6 , 3 , 6 , 4 , 7 ] [ 8360 ]
[ 4 , 6 , 3 , 6 , 6 , 6 ] [ 8341 ]
[ 4 , 6 , 3 , 6 , 6 , 7 ] [ 8361 ]
[ 4 , 6 , 6 , 3 , 4 , 6 ] [ 8343 ]
[ 5 , 3 , 6 , 3 , 6 , 6 ] [ 8337 ]
[ 5 , 4 , 6 , 3 , 6 , 6 ] [ 8339 ]
[ 5 , 5 , 6 , 3 , 6 , 6 ] [ 8332 ]
[ 5 , 6 , 3 , 3 , 6 , 6 ] [ 8321 ]
[ 6 , 6 , 3 , 6 , 4 , 6 ] [ 8338 ]

Number of polytopes of rank 8 : 35

Polytopes References
[ 3 , 3 , 3 , 3 , 3 , 6 , 7 ] [ 8362 ]
[ 3 , 3 , 3 , 3 , 6 , 3 , 7 ] [ 8388 ]
[ 3 , 3 , 3 , 3 , 6 , 4 , 3 ] [ 8369 ]
[ 3 , 3 , 3 , 3 , 6 , 4 , 4 ] [ 8390 ]
[ 3 , 3 , 3 , 3 , 6 , 4 , 7 ] [ 8389 ]
[ 3 , 3 , 3 , 3 , 6 , 6 , 3 ] [ 8371 ]
[ 3 , 3 , 3 , 3 , 6 , 6 , 6 ] [ 8368 ]
[ 3 , 3 , 3 , 3 , 6 , 6 , 7 ] [ 8391 ]
[ 3 , 3 , 3 , 6 , 3 , 4 , 6 ] [ 8370 ]
[ 3 , 3 , 6 , 3 , 3 , 3 , 4 ] [ 8384 ]
[ 3 , 3 , 6 , 4 , 6 , 3 , 3 ] [ 8372 ]
[ 3 , 6 , 4 , 6 , 3 , 6 , 4 ] [ 8378 ]
[ 4 , 3 , 6 , 3 , 3 , 6 , 5 ] [ 8379 ]
[ 4 , 3 , 6 , 3 , 6 , 3 , 4 ] [ 8396 ]
[ 4 , 3 , 6 , 3 , 6 , 3 , 5 ] [ 8380 ]
[ 4 , 3 , 6 , 3 , 6 , 4 , 5 ] [ 8383 ]
[ 4 , 3 , 6 , 3 , 6 , 4 , 6 ] [ 8382 ]
[ 4 , 3 , 6 , 3 , 6 , 5 , 5 ] [ 8381 ]
[ 4 , 6 , 3 , 3 , 3 , 6 , 6 ] [ 8377 ]
[ 4 , 6 , 3 , 6 , 3 , 3 , 4 ] [ 8395 ]
[ 5 , 3 , 6 , 3 , 3 , 6 , 5 ] [ 8364 ]
[ 5 , 3 , 6 , 3 , 6 , 3 , 5 ] [ 8385 ]
[ 5 , 3 , 6 , 3 , 6 , 4 , 6 ] [ 8386 ]
[ 5 , 3 , 6 , 3 , 6 , 5 , 5 ] [ 8373 ]
[ 5 , 4 , 6 , 3 , 3 , 6 , 5 ] [ 8367 ]
[ 5 , 4 , 6 , 3 , 6 , 3 , 5 ] [ 8387 ]
[ 5 , 4 , 6 , 3 , 6 , 4 , 5 ] [ 8394 ]
[ 5 , 4 , 6 , 3 , 6 , 4 , 6 ] [ 8393 ]
[ 5 , 4 , 6 , 3 , 6 , 5 , 5 ] [ 8376 ]
[ 5 , 5 , 6 , 3 , 3 , 6 , 5 ] [ 8365 ]
[ 5 , 5 , 6 , 3 , 6 , 4 , 6 ] [ 8375 ]
[ 5 , 5 , 6 , 3 , 6 , 5 , 5 ] [ 8374 ]
[ 5 , 6 , 3 , 3 , 3 , 6 , 5 ] [ 8363 ]
[ 5 , 6 , 3 , 3 , 6 , 4 , 6 ] [ 8366 ]
[ 6 , 4 , 6 , 3 , 6 , 4 , 6 ] [ 8392 ]

Number of polytopes of rank 9 : 9

Polytopes References
[ 3 , 3 , 3 , 3 , 3 , 3 , 6 , 6 ] [ 8397 ]
[ 3 , 3 , 3 , 3 , 6 , 3 , 3 , 4 ] [ 8404 ]
[ 3 , 6 , 4 , 6 , 3 , 3 , 3 , 3 ] [ 8398 ]
[ 4 , 3 , 6 , 3 , 3 , 3 , 6 , 4 ] [ 8405 ]
[ 4 , 6 , 3 , 3 , 3 , 3 , 6 , 5 ] [ 8399 ]
[ 4 , 6 , 3 , 3 , 3 , 6 , 3 , 5 ] [ 8400 ]
[ 4 , 6 , 3 , 3 , 3 , 6 , 4 , 5 ] [ 8403 ]
[ 4 , 6 , 3 , 3 , 3 , 6 , 4 , 6 ] [ 8402 ]
[ 4 , 6 , 3 , 3 , 3 , 6 , 5 , 5 ] [ 8401 ]

Number of polytopes of rank 10 : 7

Polytopes References
[ 3 , 3 , 3 , 3 , 3 , 3 , 3 , 6 , 5 ] [ 8406 ]
[ 3 , 3 , 3 , 3 , 3 , 3 , 6 , 3 , 4 ] [ 8411 ]
[ 3 , 3 , 3 , 3 , 3 , 3 , 6 , 3 , 5 ] [ 8407 ]
[ 3 , 3 , 3 , 3 , 3 , 3 , 6 , 4 , 5 ] [ 8410 ]
[ 3 , 3 , 3 , 3 , 3 , 3 , 6 , 4 , 6 ] [ 8409 ]
[ 3 , 3 , 3 , 3 , 3 , 3 , 6 , 5 , 5 ] [ 8408 ]
[ 4 , 6 , 3 , 3 , 3 , 3 , 3 , 6 , 4 ] [ 8412 ]

Number of polytopes of rank 11 : 1

Polytopes References
[ 3 , 3 , 3 , 3 , 3 , 3 , 3 , 3 , 6 , 4 ] [ 8413 ]

Number of polytopes of rank 12 : 1

Polytopes References
[ 3 , 3 , 3 , 3 , 3 , 3 , 3 , 3 , 3 , 3 , 3 ] [ 8414 ]