Polytope of Type {2,2,2,2}

This page is part of the Atlas of Small Regular Polytopes
Atlas Canonical Name : {2,2,2,2}*32
if this polytope has a name.
Group : SmallGroup(32,51)
Rank : 5
Schlafli Type : {2,2,2,2}
Number of vertices, edges, etc : 2, 2, 2, 2, 2
Order of s0s1s2s3s4 : 2
Order of s0s1s2s3s4s3s2s1 : 2
Special Properties :
   Degenerate
   Universal
   Orientable
   Flat
   Self-Dual
Related Polytopes :
   Facet
   Vertex Figure
   Dual
Facet Of :
   {2,2,2,2,2} of size 64
   {2,2,2,2,3} of size 96
   {2,2,2,2,4} of size 128
   {2,2,2,2,5} of size 160
   {2,2,2,2,6} of size 192
   {2,2,2,2,7} of size 224
   {2,2,2,2,8} of size 256
   {2,2,2,2,9} of size 288
   {2,2,2,2,10} of size 320
   {2,2,2,2,11} of size 352
   {2,2,2,2,12} of size 384
   {2,2,2,2,13} of size 416
   {2,2,2,2,14} of size 448
   {2,2,2,2,15} of size 480
   {2,2,2,2,16} of size 512
   {2,2,2,2,17} of size 544
   {2,2,2,2,18} of size 576
   {2,2,2,2,19} of size 608
   {2,2,2,2,20} of size 640
   {2,2,2,2,21} of size 672
   {2,2,2,2,22} of size 704
   {2,2,2,2,23} of size 736
   {2,2,2,2,24} of size 768
   {2,2,2,2,25} of size 800
   {2,2,2,2,26} of size 832
   {2,2,2,2,27} of size 864
   {2,2,2,2,28} of size 896
   {2,2,2,2,29} of size 928
   {2,2,2,2,30} of size 960
   {2,2,2,2,31} of size 992
   {2,2,2,2,33} of size 1056
   {2,2,2,2,34} of size 1088
   {2,2,2,2,35} of size 1120
   {2,2,2,2,36} of size 1152
   {2,2,2,2,37} of size 1184
   {2,2,2,2,38} of size 1216
   {2,2,2,2,39} of size 1248
   {2,2,2,2,40} of size 1280
   {2,2,2,2,41} of size 1312
   {2,2,2,2,42} of size 1344
   {2,2,2,2,43} of size 1376
   {2,2,2,2,44} of size 1408
   {2,2,2,2,45} of size 1440
   {2,2,2,2,46} of size 1472
   {2,2,2,2,47} of size 1504
   {2,2,2,2,49} of size 1568
   {2,2,2,2,50} of size 1600
   {2,2,2,2,51} of size 1632
   {2,2,2,2,52} of size 1664
   {2,2,2,2,53} of size 1696
   {2,2,2,2,54} of size 1728
   {2,2,2,2,55} of size 1760
   {2,2,2,2,56} of size 1792
   {2,2,2,2,57} of size 1824
   {2,2,2,2,58} of size 1856
   {2,2,2,2,59} of size 1888
   {2,2,2,2,60} of size 1920
   {2,2,2,2,61} of size 1952
   {2,2,2,2,62} of size 1984
Vertex Figure Of :
   {2,2,2,2,2} of size 64
   {3,2,2,2,2} of size 96
   {4,2,2,2,2} of size 128
   {5,2,2,2,2} of size 160
   {6,2,2,2,2} of size 192
   {7,2,2,2,2} of size 224
   {8,2,2,2,2} of size 256
   {9,2,2,2,2} of size 288
   {10,2,2,2,2} of size 320
   {11,2,2,2,2} of size 352
   {12,2,2,2,2} of size 384
   {13,2,2,2,2} of size 416
   {14,2,2,2,2} of size 448
   {15,2,2,2,2} of size 480
   {16,2,2,2,2} of size 512
   {17,2,2,2,2} of size 544
   {18,2,2,2,2} of size 576
   {19,2,2,2,2} of size 608
   {20,2,2,2,2} of size 640
   {21,2,2,2,2} of size 672
   {22,2,2,2,2} of size 704
   {23,2,2,2,2} of size 736
   {24,2,2,2,2} of size 768
   {25,2,2,2,2} of size 800
   {26,2,2,2,2} of size 832
   {27,2,2,2,2} of size 864
   {28,2,2,2,2} of size 896
   {29,2,2,2,2} of size 928
   {30,2,2,2,2} of size 960
   {31,2,2,2,2} of size 992
   {33,2,2,2,2} of size 1056
   {34,2,2,2,2} of size 1088
   {35,2,2,2,2} of size 1120
   {36,2,2,2,2} of size 1152
   {37,2,2,2,2} of size 1184
   {38,2,2,2,2} of size 1216
   {39,2,2,2,2} of size 1248
   {40,2,2,2,2} of size 1280
   {41,2,2,2,2} of size 1312
   {42,2,2,2,2} of size 1344
   {43,2,2,2,2} of size 1376
   {44,2,2,2,2} of size 1408
   {45,2,2,2,2} of size 1440
   {46,2,2,2,2} of size 1472
   {47,2,2,2,2} of size 1504
   {49,2,2,2,2} of size 1568
   {50,2,2,2,2} of size 1600
   {51,2,2,2,2} of size 1632
   {52,2,2,2,2} of size 1664
   {53,2,2,2,2} of size 1696
   {54,2,2,2,2} of size 1728
   {55,2,2,2,2} of size 1760
   {56,2,2,2,2} of size 1792
   {57,2,2,2,2} of size 1824
   {58,2,2,2,2} of size 1856
   {59,2,2,2,2} of size 1888
   {60,2,2,2,2} of size 1920
   {61,2,2,2,2} of size 1952
   {62,2,2,2,2} of size 1984
Quotients (Maximal Quotients in Boldface) :
   No Regular Quotients.
Covers (Minimal Covers in Boldface) :
   2-fold covers : {2,2,2,4}*64, {2,2,4,2}*64, {2,4,2,2}*64, {4,2,2,2}*64
   3-fold covers : {2,2,2,6}*96, {2,2,6,2}*96, {2,6,2,2}*96, {6,2,2,2}*96
   4-fold covers : {2,2,4,4}*128, {2,4,4,2}*128, {4,4,2,2}*128, {2,4,2,4}*128, {4,2,2,4}*128, {4,2,4,2}*128, {2,2,2,8}*128, {2,2,8,2}*128, {2,8,2,2}*128, {8,2,2,2}*128
   5-fold covers : {2,2,2,10}*160, {2,2,10,2}*160, {2,10,2,2}*160, {10,2,2,2}*160
   6-fold covers : {2,2,2,12}*192, {2,2,12,2}*192, {2,12,2,2}*192, {12,2,2,2}*192, {2,2,4,6}*192a, {2,2,6,4}*192a, {2,4,2,6}*192, {2,4,6,2}*192a, {2,6,2,4}*192, {2,6,4,2}*192a, {4,2,2,6}*192, {4,2,6,2}*192, {4,6,2,2}*192a, {6,2,2,4}*192, {6,2,4,2}*192, {6,4,2,2}*192a
   7-fold covers : {2,2,2,14}*224, {2,2,14,2}*224, {2,14,2,2}*224, {14,2,2,2}*224
   8-fold covers : {2,4,4,4}*256, {4,4,4,2}*256, {4,2,4,4}*256, {4,4,2,4}*256, {2,2,4,8}*256a, {2,2,8,4}*256a, {2,4,8,2}*256a, {2,8,4,2}*256a, {4,8,2,2}*256a, {8,4,2,2}*256a, {2,2,4,8}*256b, {2,2,8,4}*256b, {2,4,8,2}*256b, {2,8,4,2}*256b, {4,8,2,2}*256b, {8,4,2,2}*256b, {2,2,4,4}*256, {2,4,4,2}*256, {4,4,2,2}*256, {2,4,2,8}*256, {2,8,2,4}*256, {4,2,2,8}*256, {4,2,8,2}*256, {8,2,2,4}*256, {8,2,4,2}*256, {2,2,2,16}*256, {2,2,16,2}*256, {2,16,2,2}*256, {16,2,2,2}*256
   9-fold covers : {2,2,2,18}*288, {2,2,18,2}*288, {2,18,2,2}*288, {18,2,2,2}*288, {2,2,6,6}*288a, {2,2,6,6}*288b, {2,2,6,6}*288c, {2,6,2,6}*288, {2,6,6,2}*288a, {2,6,6,2}*288b, {2,6,6,2}*288c, {6,2,2,6}*288, {6,2,6,2}*288, {6,6,2,2}*288a, {6,6,2,2}*288b, {6,6,2,2}*288c
   10-fold covers : {2,2,2,20}*320, {2,2,20,2}*320, {2,20,2,2}*320, {20,2,2,2}*320, {2,2,4,10}*320, {2,2,10,4}*320, {2,4,2,10}*320, {2,4,10,2}*320, {2,10,2,4}*320, {2,10,4,2}*320, {4,2,2,10}*320, {4,2,10,2}*320, {4,10,2,2}*320, {10,2,2,4}*320, {10,2,4,2}*320, {10,4,2,2}*320
   11-fold covers : {2,2,2,22}*352, {2,2,22,2}*352, {2,22,2,2}*352, {22,2,2,2}*352
   12-fold covers : {2,2,4,12}*384a, {2,2,12,4}*384a, {2,4,12,2}*384a, {2,12,4,2}*384a, {4,12,2,2}*384a, {12,4,2,2}*384a, {2,4,2,12}*384, {2,12,2,4}*384, {4,2,2,12}*384, {4,2,12,2}*384, {12,2,2,4}*384, {12,2,4,2}*384, {2,4,4,6}*384, {2,6,4,4}*384, {4,4,2,6}*384, {4,4,6,2}*384, {6,2,4,4}*384, {6,4,4,2}*384, {2,4,6,4}*384a, {4,6,4,2}*384a, {4,2,4,6}*384a, {4,2,6,4}*384a, {4,6,2,4}*384a, {6,4,2,4}*384a, {2,2,2,24}*384, {2,2,24,2}*384, {2,24,2,2}*384, {24,2,2,2}*384, {2,2,6,8}*384, {2,2,8,6}*384, {2,6,2,8}*384, {2,6,8,2}*384, {2,8,2,6}*384, {2,8,6,2}*384, {6,2,2,8}*384, {6,2,8,2}*384, {6,8,2,2}*384, {8,2,2,6}*384, {8,2,6,2}*384, {8,6,2,2}*384, {2,2,4,6}*384, {2,2,6,4}*384, {2,2,6,6}*384, {2,4,6,2}*384, {2,6,4,2}*384, {2,6,6,2}*384, {4,6,2,2}*384, {6,4,2,2}*384, {6,6,2,2}*384
   13-fold covers : {2,2,2,26}*416, {2,2,26,2}*416, {2,26,2,2}*416, {26,2,2,2}*416
   14-fold covers : {2,2,2,28}*448, {2,2,28,2}*448, {2,28,2,2}*448, {28,2,2,2}*448, {2,2,4,14}*448, {2,2,14,4}*448, {2,4,2,14}*448, {2,4,14,2}*448, {2,14,2,4}*448, {2,14,4,2}*448, {4,2,2,14}*448, {4,2,14,2}*448, {4,14,2,2}*448, {14,2,2,4}*448, {14,2,4,2}*448, {14,4,2,2}*448
   15-fold covers : {2,2,6,10}*480, {2,2,10,6}*480, {2,6,2,10}*480, {2,6,10,2}*480, {2,10,2,6}*480, {2,10,6,2}*480, {6,2,2,10}*480, {6,2,10,2}*480, {6,10,2,2}*480, {10,2,2,6}*480, {10,2,6,2}*480, {10,6,2,2}*480, {2,2,2,30}*480, {2,2,30,2}*480, {2,30,2,2}*480, {30,2,2,2}*480
   16-fold covers : {4,4,4,4}*512, {2,2,4,8}*512a, {2,2,8,4}*512a, {2,4,8,2}*512a, {2,8,4,2}*512a, {4,8,2,2}*512a, {8,4,2,2}*512a, {2,2,8,8}*512a, {2,2,8,8}*512b, {2,2,8,8}*512c, {2,8,8,2}*512a, {2,8,8,2}*512b, {2,8,8,2}*512c, {8,8,2,2}*512a, {8,8,2,2}*512b, {8,8,2,2}*512c, {2,2,8,8}*512d, {2,8,8,2}*512d, {8,8,2,2}*512d, {2,8,2,8}*512, {8,2,2,8}*512, {8,2,8,2}*512, {2,4,8,4}*512a, {4,8,4,2}*512a, {2,4,8,4}*512b, {2,4,8,4}*512c, {4,8,4,2}*512b, {4,8,4,2}*512c, {2,4,8,4}*512d, {4,8,4,2}*512d, {2,4,4,8}*512a, {2,8,4,4}*512a, {4,4,8,2}*512a, {8,4,4,2}*512a, {2,4,4,8}*512b, {2,8,4,4}*512b, {4,4,8,2}*512b, {8,4,4,2}*512b, {2,4,4,4}*512a, {2,4,4,4}*512b, {4,4,4,2}*512a, {4,4,4,2}*512b, {2,2,4,16}*512a, {2,2,16,4}*512a, {2,4,16,2}*512a, {2,16,4,2}*512a, {4,16,2,2}*512a, {16,4,2,2}*512a, {2,2,4,16}*512b, {2,2,16,4}*512b, {2,4,16,2}*512b, {2,16,4,2}*512b, {4,16,2,2}*512b, {16,4,2,2}*512b, {2,2,4,4}*512, {2,2,4,8}*512b, {2,2,8,4}*512b, {2,4,4,2}*512, {2,4,8,2}*512b, {2,8,4,2}*512b, {4,4,2,2}*512, {4,8,2,2}*512b, {8,4,2,2}*512b, {2,4,2,16}*512, {2,16,2,4}*512, {4,2,2,16}*512, {4,2,16,2}*512, {16,2,2,4}*512, {16,2,4,2}*512, {2,2,2,32}*512, {2,2,32,2}*512, {2,32,2,2}*512, {32,2,2,2}*512
   17-fold covers : {2,2,2,34}*544, {2,2,34,2}*544, {2,34,2,2}*544, {34,2,2,2}*544
   18-fold covers : {2,2,2,36}*576, {2,2,36,2}*576, {2,36,2,2}*576, {36,2,2,2}*576, {2,2,4,18}*576a, {2,2,18,4}*576a, {2,4,2,18}*576, {2,4,18,2}*576a, {2,18,2,4}*576, {2,18,4,2}*576a, {4,2,2,18}*576, {4,2,18,2}*576, {4,18,2,2}*576a, {18,2,2,4}*576, {18,2,4,2}*576, {18,4,2,2}*576a, {2,2,6,12}*576a, {2,2,6,12}*576b, {2,2,12,6}*576a, {2,2,12,6}*576b, {2,6,2,12}*576, {2,6,12,2}*576a, {2,6,12,2}*576b, {2,12,2,6}*576, {2,12,6,2}*576a, {2,12,6,2}*576b, {6,2,2,12}*576, {6,2,12,2}*576, {6,12,2,2}*576a, {6,12,2,2}*576b, {12,2,2,6}*576, {12,2,6,2}*576, {12,6,2,2}*576a, {12,6,2,2}*576b, {2,4,6,6}*576a, {2,4,6,6}*576b, {2,6,4,6}*576, {2,6,6,4}*576a, {2,6,6,4}*576b, {4,2,6,6}*576a, {4,2,6,6}*576b, {4,2,6,6}*576c, {4,6,2,6}*576a, {4,6,6,2}*576a, {4,6,6,2}*576b, {6,2,4,6}*576a, {6,2,6,4}*576a, {6,4,2,6}*576a, {6,4,6,2}*576, {6,6,2,4}*576a, {6,6,2,4}*576b, {6,6,2,4}*576c, {6,6,4,2}*576a, {6,6,4,2}*576b, {2,2,6,12}*576c, {2,2,12,6}*576c, {2,4,6,6}*576c, {2,6,6,4}*576c, {2,6,12,2}*576c, {2,12,6,2}*576c, {4,6,6,2}*576c, {6,6,4,2}*576c, {6,12,2,2}*576c, {12,6,2,2}*576c, {2,2,4,4}*576, {2,2,4,6}*576, {2,2,6,4}*576, {2,4,4,2}*576, {2,4,6,2}*576, {2,6,4,2}*576, {4,4,2,2}*576, {4,6,2,2}*576, {6,4,2,2}*576
   19-fold covers : {2,2,2,38}*608, {2,2,38,2}*608, {2,38,2,2}*608, {38,2,2,2}*608
   20-fold covers : {2,2,4,20}*640, {2,2,20,4}*640, {2,4,20,2}*640, {2,20,4,2}*640, {4,20,2,2}*640, {20,4,2,2}*640, {2,4,2,20}*640, {2,20,2,4}*640, {4,2,2,20}*640, {4,2,20,2}*640, {20,2,2,4}*640, {20,2,4,2}*640, {2,4,4,10}*640, {2,10,4,4}*640, {4,4,2,10}*640, {4,4,10,2}*640, {10,2,4,4}*640, {10,4,4,2}*640, {2,4,10,4}*640, {4,10,4,2}*640, {4,2,4,10}*640, {4,2,10,4}*640, {4,10,2,4}*640, {10,4,2,4}*640, {2,2,2,40}*640, {2,2,40,2}*640, {2,40,2,2}*640, {40,2,2,2}*640, {2,2,8,10}*640, {2,2,10,8}*640, {2,8,2,10}*640, {2,8,10,2}*640, {2,10,2,8}*640, {2,10,8,2}*640, {8,2,2,10}*640, {8,2,10,2}*640, {8,10,2,2}*640, {10,2,2,8}*640, {10,2,8,2}*640, {10,8,2,2}*640
   21-fold covers : {2,2,6,14}*672, {2,2,14,6}*672, {2,6,2,14}*672, {2,6,14,2}*672, {2,14,2,6}*672, {2,14,6,2}*672, {6,2,2,14}*672, {6,2,14,2}*672, {6,14,2,2}*672, {14,2,2,6}*672, {14,2,6,2}*672, {14,6,2,2}*672, {2,2,2,42}*672, {2,2,42,2}*672, {2,42,2,2}*672, {42,2,2,2}*672
   22-fold covers : {2,2,2,44}*704, {2,2,44,2}*704, {2,44,2,2}*704, {44,2,2,2}*704, {2,2,4,22}*704, {2,2,22,4}*704, {2,4,2,22}*704, {2,4,22,2}*704, {2,22,2,4}*704, {2,22,4,2}*704, {4,2,2,22}*704, {4,2,22,2}*704, {4,22,2,2}*704, {22,2,2,4}*704, {22,2,4,2}*704, {22,4,2,2}*704
   23-fold covers : {2,2,2,46}*736, {2,2,46,2}*736, {2,46,2,2}*736, {46,2,2,2}*736
   24-fold covers : {4,4,4,6}*768, {6,4,4,4}*768, {2,4,4,12}*768, {2,12,4,4}*768, {4,4,12,2}*768, {12,4,4,2}*768, {2,4,12,4}*768a, {4,12,4,2}*768a, {4,4,6,4}*768a, {4,6,4,4}*768a, {4,4,2,12}*768, {12,2,4,4}*768, {4,2,4,12}*768a, {4,2,12,4}*768a, {4,12,2,4}*768a, {12,4,2,4}*768a, {2,4,8,6}*768a, {2,6,4,8}*768a, {2,6,8,4}*768a, {2,8,4,6}*768a, {4,8,2,6}*768a, {4,8,6,2}*768a, {6,2,4,8}*768a, {6,2,8,4}*768a, {6,4,8,2}*768a, {6,8,4,2}*768a, {8,4,2,6}*768a, {8,4,6,2}*768a, {2,2,8,12}*768a, {2,2,12,8}*768a, {2,8,12,2}*768a, {2,12,8,2}*768a, {8,12,2,2}*768a, {12,8,2,2}*768a, {2,2,4,24}*768a, {2,2,24,4}*768a, {2,4,24,2}*768a, {2,24,4,2}*768a, {4,24,2,2}*768a, {24,4,2,2}*768a, {2,4,8,6}*768b, {2,6,4,8}*768b, {2,6,8,4}*768b, {2,8,4,6}*768b, {4,8,2,6}*768b, {4,8,6,2}*768b, {6,2,4,8}*768b, {6,2,8,4}*768b, {6,4,8,2}*768b, {6,8,4,2}*768b, {8,4,2,6}*768b, {8,4,6,2}*768b, {2,2,8,12}*768b, {2,2,12,8}*768b, {2,8,12,2}*768b, {2,12,8,2}*768b, {8,12,2,2}*768b, {12,8,2,2}*768b, {2,2,4,24}*768b, {2,2,24,4}*768b, {2,4,24,2}*768b, {2,24,4,2}*768b, {4,24,2,2}*768b, {24,4,2,2}*768b, {2,4,4,6}*768a, {2,6,4,4}*768a, {4,4,2,6}*768, {4,4,6,2}*768a, {6,2,4,4}*768, {6,4,4,2}*768a, {2,2,4,12}*768a, {2,2,12,4}*768a, {2,4,12,2}*768a, {2,12,4,2}*768a, {4,12,2,2}*768a, {12,4,2,2}*768a, {4,2,6,8}*768, {4,2,8,6}*768, {4,6,2,8}*768a, {6,4,2,8}*768a, {6,8,2,4}*768, {8,2,4,6}*768a, {8,2,6,4}*768a, {8,6,2,4}*768, {2,4,6,8}*768a, {2,8,6,4}*768a, {4,6,8,2}*768a, {8,6,4,2}*768a, {2,8,2,12}*768, {2,12,2,8}*768, {8,2,2,12}*768, {8,2,12,2}*768, {12,2,2,8}*768, {12,2,8,2}*768, {2,4,2,24}*768, {2,24,2,4}*768, {4,2,2,24}*768, {4,2,24,2}*768, {24,2,2,4}*768, {24,2,4,2}*768, {2,2,6,16}*768, {2,2,16,6}*768, {2,6,2,16}*768, {2,6,16,2}*768, {2,16,2,6}*768, {2,16,6,2}*768, {6,2,2,16}*768, {6,2,16,2}*768, {6,16,2,2}*768, {16,2,2,6}*768, {16,2,6,2}*768, {16,6,2,2}*768, {2,2,2,48}*768, {2,2,48,2}*768, {2,48,2,2}*768, {48,2,2,2}*768, {2,2,4,12}*768b, {2,2,12,4}*768b, {2,4,12,2}*768b, {2,12,4,2}*768b, {4,12,2,2}*768b, {12,4,2,2}*768b, {2,2,4,6}*768b, {2,2,4,12}*768c, {2,2,6,4}*768b, {2,2,6,12}*768a, {2,2,12,4}*768c, {2,2,12,6}*768a, {2,4,4,6}*768d, {2,4,6,2}*768b, {2,4,6,4}*768a, {2,4,6,4}*768b, {2,4,6,6}*768, {2,4,12,2}*768c, {2,6,4,2}*768b, {2,6,4,4}*768d, {2,6,6,4}*768, {2,6,12,2}*768a, {2,12,4,2}*768c, {2,12,6,2}*768a, {4,2,4,6}*768, {4,2,6,4}*768, {4,2,6,6}*768, {4,4,6,2}*768d, {4,6,2,2}*768b, {4,6,2,4}*768, {4,6,4,2}*768a, {4,6,4,2}*768b, {4,6,6,2}*768, {4,12,2,2}*768c, {6,4,2,2}*768b, {6,4,2,4}*768, {6,4,4,2}*768d, {6,6,2,4}*768, {6,6,4,2}*768, {6,12,2,2}*768a, {12,4,2,2}*768c, {12,6,2,2}*768a, {2,2,6,8}*768b, {2,2,6,12}*768b, {2,2,8,6}*768b, {2,2,12,6}*768b, {2,6,8,2}*768b, {2,6,12,2}*768b, {2,8,6,2}*768b, {2,12,6,2}*768b, {6,8,2,2}*768b, {6,12,2,2}*768b, {8,6,2,2}*768b, {12,6,2,2}*768b, {2,2,6,6}*768b, {2,2,6,8}*768c, {2,2,8,6}*768c, {2,6,6,2}*768b, {2,6,8,2}*768c, {2,8,6,2}*768c, {6,6,2,2}*768b, {6,8,2,2}*768c, {8,6,2,2}*768c
   25-fold covers : {2,2,2,50}*800, {2,2,50,2}*800, {2,50,2,2}*800, {50,2,2,2}*800, {2,2,10,10}*800a, {2,2,10,10}*800b, {2,2,10,10}*800c, {2,10,2,10}*800, {2,10,10,2}*800a, {2,10,10,2}*800b, {2,10,10,2}*800c, {10,2,2,10}*800, {10,2,10,2}*800, {10,10,2,2}*800a, {10,10,2,2}*800b, {10,10,2,2}*800c
   26-fold covers : {2,2,2,52}*832, {2,2,52,2}*832, {2,52,2,2}*832, {52,2,2,2}*832, {2,2,4,26}*832, {2,2,26,4}*832, {2,4,2,26}*832, {2,4,26,2}*832, {2,26,2,4}*832, {2,26,4,2}*832, {4,2,2,26}*832, {4,2,26,2}*832, {4,26,2,2}*832, {26,2,2,4}*832, {26,2,4,2}*832, {26,4,2,2}*832
   27-fold covers : {2,2,2,54}*864, {2,2,54,2}*864, {2,54,2,2}*864, {54,2,2,2}*864, {2,2,6,18}*864a, {2,2,6,18}*864b, {2,2,18,6}*864a, {2,2,18,6}*864b, {2,6,2,18}*864, {2,6,18,2}*864a, {2,6,18,2}*864b, {2,18,2,6}*864, {2,18,6,2}*864a, {2,18,6,2}*864b, {6,2,2,18}*864, {6,2,18,2}*864, {6,18,2,2}*864a, {6,18,2,2}*864b, {18,2,2,6}*864, {18,2,6,2}*864, {18,6,2,2}*864a, {18,6,2,2}*864b, {2,2,6,6}*864a, {2,2,6,6}*864b, {2,2,6,6}*864c, {2,6,6,2}*864a, {2,6,6,2}*864b, {2,6,6,2}*864c, {2,6,6,6}*864a, {6,6,2,2}*864a, {6,6,2,2}*864b, {6,6,2,2}*864c, {6,6,6,2}*864a, {2,2,6,6}*864d, {2,6,6,2}*864d, {2,6,6,6}*864b, {2,6,6,6}*864c, {2,6,6,6}*864d, {2,6,6,6}*864e, {2,6,6,6}*864f, {2,6,6,6}*864g, {6,2,6,6}*864a, {6,2,6,6}*864b, {6,2,6,6}*864c, {6,6,2,2}*864d, {6,6,2,6}*864a, {6,6,2,6}*864b, {6,6,2,6}*864c, {6,6,6,2}*864b, {6,6,6,2}*864c, {6,6,6,2}*864d, {6,6,6,2}*864e, {6,6,6,2}*864f, {6,6,6,2}*864g
   28-fold covers : {2,2,4,28}*896, {2,2,28,4}*896, {2,4,28,2}*896, {2,28,4,2}*896, {4,28,2,2}*896, {28,4,2,2}*896, {2,4,2,28}*896, {2,28,2,4}*896, {4,2,2,28}*896, {4,2,28,2}*896, {28,2,2,4}*896, {28,2,4,2}*896, {2,4,4,14}*896, {2,14,4,4}*896, {4,4,2,14}*896, {4,4,14,2}*896, {14,2,4,4}*896, {14,4,4,2}*896, {2,4,14,4}*896, {4,14,4,2}*896, {4,2,4,14}*896, {4,2,14,4}*896, {4,14,2,4}*896, {14,4,2,4}*896, {2,2,2,56}*896, {2,2,56,2}*896, {2,56,2,2}*896, {56,2,2,2}*896, {2,2,8,14}*896, {2,2,14,8}*896, {2,8,2,14}*896, {2,8,14,2}*896, {2,14,2,8}*896, {2,14,8,2}*896, {8,2,2,14}*896, {8,2,14,2}*896, {8,14,2,2}*896, {14,2,2,8}*896, {14,2,8,2}*896, {14,8,2,2}*896
   29-fold covers : {2,2,2,58}*928, {2,2,58,2}*928, {2,58,2,2}*928, {58,2,2,2}*928
   30-fold covers : {2,2,10,12}*960, {2,2,12,10}*960, {2,10,2,12}*960, {2,10,12,2}*960, {2,12,2,10}*960, {2,12,10,2}*960, {10,2,2,12}*960, {10,2,12,2}*960, {10,12,2,2}*960, {12,2,2,10}*960, {12,2,10,2}*960, {12,10,2,2}*960, {2,2,6,20}*960a, {2,2,20,6}*960a, {2,6,2,20}*960, {2,6,20,2}*960a, {2,20,2,6}*960, {2,20,6,2}*960a, {6,2,2,20}*960, {6,2,20,2}*960, {6,20,2,2}*960a, {20,2,2,6}*960, {20,2,6,2}*960, {20,6,2,2}*960a, {2,4,6,10}*960a, {2,4,10,6}*960, {2,6,4,10}*960, {2,6,10,4}*960, {2,10,4,6}*960, {2,10,6,4}*960a, {4,2,6,10}*960, {4,2,10,6}*960, {4,6,2,10}*960a, {4,6,10,2}*960a, {4,10,2,6}*960, {4,10,6,2}*960, {6,2,4,10}*960, {6,2,10,4}*960, {6,4,2,10}*960a, {6,4,10,2}*960, {6,10,2,4}*960, {6,10,4,2}*960, {10,2,4,6}*960a, {10,2,6,4}*960a, {10,4,2,6}*960, {10,4,6,2}*960, {10,6,2,4}*960, {10,6,4,2}*960a, {2,2,2,60}*960, {2,2,60,2}*960, {2,60,2,2}*960, {60,2,2,2}*960, {2,2,4,30}*960a, {2,2,30,4}*960a, {2,4,2,30}*960, {2,4,30,2}*960a, {2,30,2,4}*960, {2,30,4,2}*960a, {4,2,2,30}*960, {4,2,30,2}*960, {4,30,2,2}*960a, {30,2,2,4}*960, {30,2,4,2}*960, {30,4,2,2}*960a
   31-fold covers : {2,2,2,62}*992, {2,2,62,2}*992, {2,62,2,2}*992, {62,2,2,2}*992
   33-fold covers : {2,2,6,22}*1056, {2,2,22,6}*1056, {2,6,2,22}*1056, {2,6,22,2}*1056, {2,22,2,6}*1056, {2,22,6,2}*1056, {6,2,2,22}*1056, {6,2,22,2}*1056, {6,22,2,2}*1056, {22,2,2,6}*1056, {22,2,6,2}*1056, {22,6,2,2}*1056, {2,2,2,66}*1056, {2,2,66,2}*1056, {2,66,2,2}*1056, {66,2,2,2}*1056
   34-fold covers : {2,2,4,34}*1088, {2,2,34,4}*1088, {2,4,2,34}*1088, {2,4,34,2}*1088, {2,34,2,4}*1088, {2,34,4,2}*1088, {4,2,2,34}*1088, {4,2,34,2}*1088, {4,34,2,2}*1088, {34,2,2,4}*1088, {34,2,4,2}*1088, {34,4,2,2}*1088, {2,2,2,68}*1088, {2,2,68,2}*1088, {2,68,2,2}*1088, {68,2,2,2}*1088
   35-fold covers : {2,2,10,14}*1120, {2,2,14,10}*1120, {2,10,2,14}*1120, {2,10,14,2}*1120, {2,14,2,10}*1120, {2,14,10,2}*1120, {10,2,2,14}*1120, {10,2,14,2}*1120, {10,14,2,2}*1120, {14,2,2,10}*1120, {14,2,10,2}*1120, {14,10,2,2}*1120, {2,2,2,70}*1120, {2,2,70,2}*1120, {2,70,2,2}*1120, {70,2,2,2}*1120
   36-fold covers : {2,4,4,18}*1152, {2,18,4,4}*1152, {4,4,2,18}*1152, {4,4,18,2}*1152, {18,2,4,4}*1152, {18,4,4,2}*1152, {2,2,4,36}*1152a, {2,2,36,4}*1152a, {2,4,36,2}*1152a, {2,36,4,2}*1152a, {4,36,2,2}*1152a, {36,4,2,2}*1152a, {4,4,6,6}*1152a, {4,4,6,6}*1152b, {6,4,4,6}*1152, {6,6,4,4}*1152a, {6,6,4,4}*1152b, {4,4,6,6}*1152c, {6,6,4,4}*1152c, {2,4,12,6}*1152a, {2,4,12,6}*1152b, {2,6,4,12}*1152, {2,6,12,4}*1152a, {2,6,12,4}*1152b, {2,12,4,6}*1152, {4,12,2,6}*1152a, {4,12,6,2}*1152a, {4,12,6,2}*1152b, {6,2,4,12}*1152a, {6,2,12,4}*1152a, {6,4,12,2}*1152, {6,12,4,2}*1152a, {6,12,4,2}*1152b, {12,4,2,6}*1152a, {12,4,6,2}*1152, {2,4,12,6}*1152c, {2,6,12,4}*1152c, {4,12,6,2}*1152c, {6,12,4,2}*1152c, {2,2,12,12}*1152a, {2,2,12,12}*1152b, {2,2,12,12}*1152c, {2,12,12,2}*1152a, {2,12,12,2}*1152b, {2,12,12,2}*1152c, {12,12,2,2}*1152a, {12,12,2,2}*1152b, {12,12,2,2}*1152c, {2,2,4,4}*1152, {2,2,4,12}*1152, {2,2,12,4}*1152, {2,4,4,2}*1152, {2,4,4,6}*1152, {2,4,12,2}*1152, {2,6,4,4}*1152, {2,12,4,2}*1152, {4,4,2,2}*1152, {4,4,6,2}*1152, {4,12,2,2}*1152, {6,4,4,2}*1152, {12,4,2,2}*1152, {4,2,4,18}*1152a, {4,2,18,4}*1152a, {4,18,2,4}*1152a, {18,4,2,4}*1152a, {2,4,18,4}*1152a, {4,18,4,2}*1152a, {2,4,2,36}*1152, {2,36,2,4}*1152, {4,2,2,36}*1152, {4,2,36,2}*1152, {36,2,2,4}*1152, {36,2,4,2}*1152, {4,6,4,6}*1152a, {6,4,6,4}*1152a, {4,6,6,4}*1152a, {4,6,6,4}*1152b, {4,6,6,4}*1152c, {4,2,6,12}*1152a, {4,2,12,6}*1152a, {6,12,2,4}*1152a, {12,6,2,4}*1152a, {4,2,6,12}*1152b, {4,2,6,12}*1152c, {4,2,12,6}*1152b, {4,2,12,6}*1152c, {4,6,2,12}*1152a, {6,4,2,12}*1152a, {6,12,2,4}*1152b, {6,12,2,4}*1152c, {12,2,4,6}*1152a, {12,2,6,4}*1152a, {12,6,2,4}*1152b, {12,6,2,4}*1152c, {2,4,6,12}*1152a, {2,12,6,4}*1152a, {4,6,12,2}*1152a, {12,6,4,2}*1152a, {2,4,6,12}*1152b, {2,12,6,4}*1152b, {4,6,12,2}*1152b, {12,6,4,2}*1152b, {2,4,6,12}*1152c, {2,12,6,4}*1152c, {4,6,12,2}*1152c, {12,6,4,2}*1152c, {2,12,2,12}*1152, {12,2,2,12}*1152, {12,2,12,2}*1152, {2,4,4,4}*1152a, {2,4,4,4}*1152b, {2,4,6,4}*1152a, {2,4,6,4}*1152b, {4,2,4,4}*1152, {4,2,4,6}*1152, {4,2,6,4}*1152, {4,4,2,4}*1152, {4,4,4,2}*1152a, {4,4,4,2}*1152b, {4,6,2,4}*1152, {4,6,4,2}*1152a, {4,6,4,2}*1152b, {6,4,2,4}*1152, {2,2,8,18}*1152, {2,2,18,8}*1152, {2,8,2,18}*1152, {2,8,18,2}*1152, {2,18,2,8}*1152, {2,18,8,2}*1152, {8,2,2,18}*1152, {8,2,18,2}*1152, {8,18,2,2}*1152, {18,2,2,8}*1152, {18,2,8,2}*1152, {18,8,2,2}*1152, {2,2,2,72}*1152, {2,2,72,2}*1152, {2,72,2,2}*1152, {72,2,2,2}*1152, {2,6,6,8}*1152a, {2,6,6,8}*1152b, {2,6,8,6}*1152, {2,8,6,6}*1152a, {2,8,6,6}*1152b, {6,2,6,8}*1152, {6,2,8,6}*1152, {6,6,2,8}*1152a, {6,6,2,8}*1152b, {6,6,2,8}*1152c, {6,6,8,2}*1152a, {6,6,8,2}*1152b, {6,8,2,6}*1152, {6,8,6,2}*1152, {8,2,6,6}*1152a, {8,2,6,6}*1152b, {8,2,6,6}*1152c, {8,6,2,6}*1152, {8,6,6,2}*1152a, {8,6,6,2}*1152b, {2,2,6,24}*1152a, {2,2,24,6}*1152a, {2,6,6,8}*1152c, {2,6,24,2}*1152a, {2,8,6,6}*1152c, {2,24,6,2}*1152a, {6,6,8,2}*1152c, {6,24,2,2}*1152a, {8,6,6,2}*1152c, {24,6,2,2}*1152a, {2,2,6,24}*1152b, {2,2,6,24}*1152c, {2,2,24,6}*1152b, {2,2,24,6}*1152c, {2,6,2,24}*1152, {2,6,24,2}*1152b, {2,6,24,2}*1152c, {2,24,2,6}*1152, {2,24,6,2}*1152b, {2,24,6,2}*1152c, {6,2,2,24}*1152, {6,2,24,2}*1152, {6,24,2,2}*1152b, {6,24,2,2}*1152c, {24,2,2,6}*1152, {24,2,6,2}*1152, {24,6,2,2}*1152b, {24,6,2,2}*1152c, {2,2,6,8}*1152, {2,2,8,6}*1152, {2,6,8,2}*1152, {2,8,6,2}*1152, {6,8,2,2}*1152, {8,6,2,2}*1152, {2,2,4,18}*1152, {2,2,18,4}*1152, {2,4,18,2}*1152, {2,18,4,2}*1152, {4,18,2,2}*1152, {18,4,2,2}*1152, {2,2,6,6}*1152a, {2,2,6,6}*1152b, {2,2,6,12}*1152a, {2,2,6,12}*1152b, {2,2,12,6}*1152a, {2,2,12,6}*1152b, {2,4,6,6}*1152a, {2,4,6,6}*1152b, {2,6,4,6}*1152a, {2,6,4,6}*1152b, {2,6,6,2}*1152a, {2,6,6,2}*1152b, {2,6,6,4}*1152a, {2,6,6,4}*1152b, {2,6,6,6}*1152a, {2,6,6,6}*1152b, {2,6,12,2}*1152a, {2,6,12,2}*1152b, {2,12,6,2}*1152a, {2,12,6,2}*1152b, {4,6,2,6}*1152, {4,6,6,2}*1152a, {4,6,6,2}*1152b, {6,2,4,6}*1152, {6,2,6,4}*1152, {6,2,6,6}*1152, {6,4,2,6}*1152, {6,4,6,2}*1152a, {6,4,6,2}*1152b, {6,6,2,2}*1152a, {6,6,2,2}*1152b, {6,6,2,6}*1152, {6,6,4,2}*1152a, {6,6,4,2}*1152b, {6,6,6,2}*1152a, {6,6,6,2}*1152b, {6,12,2,2}*1152a, {6,12,2,2}*1152b, {12,6,2,2}*1152a, {12,6,2,2}*1152b
   37-fold covers : {2,2,2,74}*1184, {2,2,74,2}*1184, {2,74,2,2}*1184, {74,2,2,2}*1184
   38-fold covers : {2,2,4,38}*1216, {2,2,38,4}*1216, {2,4,2,38}*1216, {2,4,38,2}*1216, {2,38,2,4}*1216, {2,38,4,2}*1216, {4,2,2,38}*1216, {4,2,38,2}*1216, {4,38,2,2}*1216, {38,2,2,4}*1216, {38,2,4,2}*1216, {38,4,2,2}*1216, {2,2,2,76}*1216, {2,2,76,2}*1216, {2,76,2,2}*1216, {76,2,2,2}*1216
   39-fold covers : {2,2,6,26}*1248, {2,2,26,6}*1248, {2,6,2,26}*1248, {2,6,26,2}*1248, {2,26,2,6}*1248, {2,26,6,2}*1248, {6,2,2,26}*1248, {6,2,26,2}*1248, {6,26,2,2}*1248, {26,2,2,6}*1248, {26,2,6,2}*1248, {26,6,2,2}*1248, {2,2,2,78}*1248, {2,2,78,2}*1248, {2,78,2,2}*1248, {78,2,2,2}*1248
   40-fold covers : {4,4,4,10}*1280, {10,4,4,4}*1280, {2,4,4,20}*1280, {2,20,4,4}*1280, {4,4,20,2}*1280, {20,4,4,2}*1280, {2,4,20,4}*1280, {4,20,4,2}*1280, {4,4,10,4}*1280, {4,10,4,4}*1280, {4,4,2,20}*1280, {20,2,4,4}*1280, {4,2,4,20}*1280, {4,2,20,4}*1280, {4,20,2,4}*1280, {20,4,2,4}*1280, {2,4,8,10}*1280a, {2,8,4,10}*1280a, {2,10,4,8}*1280a, {2,10,8,4}*1280a, {4,8,2,10}*1280a, {4,8,10,2}*1280a, {8,4,2,10}*1280a, {8,4,10,2}*1280a, {10,2,4,8}*1280a, {10,2,8,4}*1280a, {10,4,8,2}*1280a, {10,8,4,2}*1280a, {2,2,8,20}*1280a, {2,2,20,8}*1280a, {2,8,20,2}*1280a, {2,20,8,2}*1280a, {8,20,2,2}*1280a, {20,8,2,2}*1280a, {2,2,4,40}*1280a, {2,2,40,4}*1280a, {2,4,40,2}*1280a, {2,40,4,2}*1280a, {4,40,2,2}*1280a, {40,4,2,2}*1280a, {2,4,8,10}*1280b, {2,8,4,10}*1280b, {2,10,4,8}*1280b, {2,10,8,4}*1280b, {4,8,2,10}*1280b, {4,8,10,2}*1280b, {8,4,2,10}*1280b, {8,4,10,2}*1280b, {10,2,4,8}*1280b, {10,2,8,4}*1280b, {10,4,8,2}*1280b, {10,8,4,2}*1280b, {2,2,8,20}*1280b, {2,2,20,8}*1280b, {2,8,20,2}*1280b, {2,20,8,2}*1280b, {8,20,2,2}*1280b, {20,8,2,2}*1280b, {2,2,4,40}*1280b, {2,2,40,4}*1280b, {2,4,40,2}*1280b, {2,40,4,2}*1280b, {4,40,2,2}*1280b, {40,4,2,2}*1280b, {2,4,4,10}*1280, {2,10,4,4}*1280, {4,4,2,10}*1280, {4,4,10,2}*1280, {10,2,4,4}*1280, {10,4,4,2}*1280, {2,2,4,20}*1280, {2,2,20,4}*1280, {2,4,20,2}*1280, {2,20,4,2}*1280, {4,20,2,2}*1280, {20,4,2,2}*1280, {4,2,8,10}*1280, {4,2,10,8}*1280, {4,10,2,8}*1280, {8,2,4,10}*1280, {8,2,10,4}*1280, {8,10,2,4}*1280, {10,4,2,8}*1280, {10,8,2,4}*1280, {2,4,10,8}*1280, {2,8,10,4}*1280, {4,10,8,2}*1280, {8,10,4,2}*1280, {2,8,2,20}*1280, {2,20,2,8}*1280, {8,2,2,20}*1280, {8,2,20,2}*1280, {20,2,2,8}*1280, {20,2,8,2}*1280, {2,4,2,40}*1280, {2,40,2,4}*1280, {4,2,2,40}*1280, {4,2,40,2}*1280, {40,2,2,4}*1280, {40,2,4,2}*1280, {2,2,10,16}*1280, {2,2,16,10}*1280, {2,10,2,16}*1280, {2,10,16,2}*1280, {2,16,2,10}*1280, {2,16,10,2}*1280, {10,2,2,16}*1280, {10,2,16,2}*1280, {10,16,2,2}*1280, {16,2,2,10}*1280, {16,2,10,2}*1280, {16,10,2,2}*1280, {2,2,2,80}*1280, {2,2,80,2}*1280, {2,80,2,2}*1280, {80,2,2,2}*1280
   41-fold covers : {2,2,2,82}*1312, {2,2,82,2}*1312, {2,82,2,2}*1312, {82,2,2,2}*1312
   42-fold covers : {2,2,12,14}*1344, {2,2,14,12}*1344, {2,12,2,14}*1344, {2,12,14,2}*1344, {2,14,2,12}*1344, {2,14,12,2}*1344, {12,2,2,14}*1344, {12,2,14,2}*1344, {12,14,2,2}*1344, {14,2,2,12}*1344, {14,2,12,2}*1344, {14,12,2,2}*1344, {2,2,6,28}*1344a, {2,2,28,6}*1344a, {2,6,2,28}*1344, {2,6,28,2}*1344a, {2,28,2,6}*1344, {2,28,6,2}*1344a, {6,2,2,28}*1344, {6,2,28,2}*1344, {6,28,2,2}*1344a, {28,2,2,6}*1344, {28,2,6,2}*1344, {28,6,2,2}*1344a, {2,4,6,14}*1344a, {2,4,14,6}*1344, {2,6,4,14}*1344, {2,6,14,4}*1344, {2,14,4,6}*1344, {2,14,6,4}*1344a, {4,2,6,14}*1344, {4,2,14,6}*1344, {4,6,2,14}*1344a, {4,6,14,2}*1344a, {4,14,2,6}*1344, {4,14,6,2}*1344, {6,2,4,14}*1344, {6,2,14,4}*1344, {6,4,2,14}*1344a, {6,4,14,2}*1344, {6,14,2,4}*1344, {6,14,4,2}*1344, {14,2,4,6}*1344a, {14,2,6,4}*1344a, {14,4,2,6}*1344, {14,4,6,2}*1344, {14,6,2,4}*1344, {14,6,4,2}*1344a, {2,2,2,84}*1344, {2,2,84,2}*1344, {2,84,2,2}*1344, {84,2,2,2}*1344, {2,2,4,42}*1344a, {2,2,42,4}*1344a, {2,4,2,42}*1344, {2,4,42,2}*1344a, {2,42,2,4}*1344, {2,42,4,2}*1344a, {4,2,2,42}*1344, {4,2,42,2}*1344, {4,42,2,2}*1344a, {42,2,2,4}*1344, {42,2,4,2}*1344, {42,4,2,2}*1344a
   43-fold covers : {2,2,2,86}*1376, {2,2,86,2}*1376, {2,86,2,2}*1376, {86,2,2,2}*1376
   44-fold covers : {2,4,4,22}*1408, {2,22,4,4}*1408, {4,4,2,22}*1408, {4,4,22,2}*1408, {22,2,4,4}*1408, {22,4,4,2}*1408, {2,2,4,44}*1408, {2,2,44,4}*1408, {2,4,44,2}*1408, {2,44,4,2}*1408, {4,44,2,2}*1408, {44,4,2,2}*1408, {4,2,4,22}*1408, {4,2,22,4}*1408, {4,22,2,4}*1408, {22,4,2,4}*1408, {2,4,22,4}*1408, {4,22,4,2}*1408, {2,4,2,44}*1408, {2,44,2,4}*1408, {4,2,2,44}*1408, {4,2,44,2}*1408, {44,2,2,4}*1408, {44,2,4,2}*1408, {2,2,8,22}*1408, {2,2,22,8}*1408, {2,8,2,22}*1408, {2,8,22,2}*1408, {2,22,2,8}*1408, {2,22,8,2}*1408, {8,2,2,22}*1408, {8,2,22,2}*1408, {8,22,2,2}*1408, {22,2,2,8}*1408, {22,2,8,2}*1408, {22,8,2,2}*1408, {2,2,2,88}*1408, {2,2,88,2}*1408, {2,88,2,2}*1408, {88,2,2,2}*1408
   45-fold covers : {2,2,10,18}*1440, {2,2,18,10}*1440, {2,10,2,18}*1440, {2,10,18,2}*1440, {2,18,2,10}*1440, {2,18,10,2}*1440, {10,2,2,18}*1440, {10,2,18,2}*1440, {10,18,2,2}*1440, {18,2,2,10}*1440, {18,2,10,2}*1440, {18,10,2,2}*1440, {2,2,2,90}*1440, {2,2,90,2}*1440, {2,90,2,2}*1440, {90,2,2,2}*1440, {2,2,6,30}*1440a, {2,2,30,6}*1440a, {2,6,6,10}*1440a, {2,6,6,10}*1440b, {2,6,6,10}*1440c, {2,6,10,6}*1440, {2,6,30,2}*1440a, {2,10,6,6}*1440a, {2,10,6,6}*1440b, {2,10,6,6}*1440c, {2,30,6,2}*1440a, {6,2,6,10}*1440, {6,2,10,6}*1440, {6,6,2,10}*1440a, {6,6,2,10}*1440b, {6,6,2,10}*1440c, {6,6,10,2}*1440a, {6,6,10,2}*1440b, {6,6,10,2}*1440c, {6,10,2,6}*1440, {6,10,6,2}*1440, {6,30,2,2}*1440a, {10,2,6,6}*1440a, {10,2,6,6}*1440b, {10,2,6,6}*1440c, {10,6,2,6}*1440, {10,6,6,2}*1440a, {10,6,6,2}*1440b, {10,6,6,2}*1440c, {30,6,2,2}*1440a, {2,2,6,30}*1440b, {2,2,6,30}*1440c, {2,2,30,6}*1440b, {2,2,30,6}*1440c, {2,6,2,30}*1440, {2,6,30,2}*1440b, {2,6,30,2}*1440c, {2,30,2,6}*1440, {2,30,6,2}*1440b, {2,30,6,2}*1440c, {6,2,2,30}*1440, {6,2,30,2}*1440, {6,30,2,2}*1440b, {6,30,2,2}*1440c, {30,2,2,6}*1440, {30,2,6,2}*1440, {30,6,2,2}*1440b, {30,6,2,2}*1440c
   46-fold covers : {2,2,4,46}*1472, {2,2,46,4}*1472, {2,4,2,46}*1472, {2,4,46,2}*1472, {2,46,2,4}*1472, {2,46,4,2}*1472, {4,2,2,46}*1472, {4,2,46,2}*1472, {4,46,2,2}*1472, {46,2,2,4}*1472, {46,2,4,2}*1472, {46,4,2,2}*1472, {2,2,2,92}*1472, {2,2,92,2}*1472, {2,92,2,2}*1472, {92,2,2,2}*1472
   47-fold covers : {2,2,2,94}*1504, {2,2,94,2}*1504, {2,94,2,2}*1504, {94,2,2,2}*1504
   49-fold covers : {2,2,2,98}*1568, {2,2,98,2}*1568, {2,98,2,2}*1568, {98,2,2,2}*1568, {2,2,14,14}*1568a, {2,2,14,14}*1568b, {2,2,14,14}*1568c, {2,14,2,14}*1568, {2,14,14,2}*1568a, {2,14,14,2}*1568b, {2,14,14,2}*1568c, {14,2,2,14}*1568, {14,2,14,2}*1568, {14,14,2,2}*1568a, {14,14,2,2}*1568b, {14,14,2,2}*1568c
   50-fold covers : {2,2,2,100}*1600, {2,2,100,2}*1600, {2,100,2,2}*1600, {100,2,2,2}*1600, {2,2,4,50}*1600, {2,2,50,4}*1600, {2,4,2,50}*1600, {2,4,50,2}*1600, {2,50,2,4}*1600, {2,50,4,2}*1600, {4,2,2,50}*1600, {4,2,50,2}*1600, {4,50,2,2}*1600, {50,2,2,4}*1600, {50,2,4,2}*1600, {50,4,2,2}*1600, {2,2,10,20}*1600a, {2,2,10,20}*1600b, {2,2,20,10}*1600a, {2,2,20,10}*1600b, {2,10,2,20}*1600, {2,10,20,2}*1600a, {2,10,20,2}*1600b, {2,20,2,10}*1600, {2,20,10,2}*1600a, {2,20,10,2}*1600b, {10,2,2,20}*1600, {10,2,20,2}*1600, {10,20,2,2}*1600a, {10,20,2,2}*1600b, {20,2,2,10}*1600, {20,2,10,2}*1600, {20,10,2,2}*1600a, {20,10,2,2}*1600b, {2,4,10,10}*1600a, {2,4,10,10}*1600b, {2,10,4,10}*1600, {2,10,10,4}*1600a, {2,10,10,4}*1600b, {4,2,10,10}*1600a, {4,2,10,10}*1600b, {4,2,10,10}*1600c, {4,10,2,10}*1600, {4,10,10,2}*1600a, {4,10,10,2}*1600b, {10,2,4,10}*1600, {10,2,10,4}*1600, {10,4,2,10}*1600, {10,4,10,2}*1600, {10,10,2,4}*1600a, {10,10,2,4}*1600b, {10,10,2,4}*1600c, {10,10,4,2}*1600a, {10,10,4,2}*1600b, {2,2,10,20}*1600c, {2,2,20,10}*1600c, {2,4,10,10}*1600c, {2,10,10,4}*1600c, {2,10,20,2}*1600c, {2,20,10,2}*1600c, {4,10,10,2}*1600c, {10,10,4,2}*1600c, {10,20,2,2}*1600c, {20,10,2,2}*1600c, {2,2,4,4}*1600, {2,2,4,10}*1600, {2,2,10,4}*1600, {2,4,4,2}*1600, {2,4,10,2}*1600, {2,10,4,2}*1600, {4,4,2,2}*1600, {4,10,2,2}*1600, {10,4,2,2}*1600
   51-fold covers : {2,2,6,34}*1632, {2,2,34,6}*1632, {2,6,2,34}*1632, {2,6,34,2}*1632, {2,34,2,6}*1632, {2,34,6,2}*1632, {6,2,2,34}*1632, {6,2,34,2}*1632, {6,34,2,2}*1632, {34,2,2,6}*1632, {34,2,6,2}*1632, {34,6,2,2}*1632, {2,2,2,102}*1632, {2,2,102,2}*1632, {2,102,2,2}*1632, {102,2,2,2}*1632
   52-fold covers : {2,4,4,26}*1664, {2,26,4,4}*1664, {4,4,2,26}*1664, {4,4,26,2}*1664, {26,2,4,4}*1664, {26,4,4,2}*1664, {2,2,4,52}*1664, {2,2,52,4}*1664, {2,4,52,2}*1664, {2,52,4,2}*1664, {4,52,2,2}*1664, {52,4,2,2}*1664, {4,2,4,26}*1664, {4,2,26,4}*1664, {4,26,2,4}*1664, {26,4,2,4}*1664, {2,4,26,4}*1664, {4,26,4,2}*1664, {2,4,2,52}*1664, {2,52,2,4}*1664, {4,2,2,52}*1664, {4,2,52,2}*1664, {52,2,2,4}*1664, {52,2,4,2}*1664, {2,2,8,26}*1664, {2,2,26,8}*1664, {2,8,2,26}*1664, {2,8,26,2}*1664, {2,26,2,8}*1664, {2,26,8,2}*1664, {8,2,2,26}*1664, {8,2,26,2}*1664, {8,26,2,2}*1664, {26,2,2,8}*1664, {26,2,8,2}*1664, {26,8,2,2}*1664, {2,2,2,104}*1664, {2,2,104,2}*1664, {2,104,2,2}*1664, {104,2,2,2}*1664
   53-fold covers : {2,2,2,106}*1696, {2,2,106,2}*1696, {2,106,2,2}*1696, {106,2,2,2}*1696
   54-fold covers : {2,2,2,108}*1728, {2,2,108,2}*1728, {2,108,2,2}*1728, {108,2,2,2}*1728, {2,2,4,54}*1728a, {2,2,54,4}*1728a, {2,4,2,54}*1728, {2,4,54,2}*1728a, {2,54,2,4}*1728, {2,54,4,2}*1728a, {4,2,2,54}*1728, {4,2,54,2}*1728, {4,54,2,2}*1728a, {54,2,2,4}*1728, {54,2,4,2}*1728, {54,4,2,2}*1728a, {2,2,12,18}*1728a, {2,2,18,12}*1728a, {2,12,2,18}*1728, {2,12,18,2}*1728a, {2,18,2,12}*1728, {2,18,12,2}*1728a, {12,2,2,18}*1728, {12,2,18,2}*1728, {12,18,2,2}*1728a, {18,2,2,12}*1728, {18,2,12,2}*1728, {18,12,2,2}*1728a, {2,2,6,36}*1728a, {2,2,6,36}*1728b, {2,2,36,6}*1728a, {2,2,36,6}*1728b, {2,6,2,36}*1728, {2,6,36,2}*1728a, {2,6,36,2}*1728b, {2,36,2,6}*1728, {2,36,6,2}*1728a, {2,36,6,2}*1728b, {6,2,2,36}*1728, {6,2,36,2}*1728, {6,36,2,2}*1728a, {6,36,2,2}*1728b, {36,2,2,6}*1728, {36,2,6,2}*1728, {36,6,2,2}*1728a, {36,6,2,2}*1728b, {2,2,6,12}*1728a, {2,2,6,12}*1728b, {2,2,12,6}*1728a, {2,2,12,6}*1728b, {2,6,6,12}*1728a, {2,6,12,2}*1728a, {2,6,12,2}*1728b, {2,12,6,2}*1728a, {2,12,6,2}*1728b, {2,12,6,6}*1728a, {6,6,12,2}*1728a, {6,12,2,2}*1728a, {6,12,2,2}*1728b, {12,6,2,2}*1728a, {12,6,2,2}*1728b, {12,6,6,2}*1728a, {2,4,6,18}*1728a, {2,4,18,6}*1728a, {2,4,18,6}*1728b, {2,6,4,18}*1728, {2,6,18,4}*1728a, {2,6,18,4}*1728b, {2,18,4,6}*1728, {2,18,6,4}*1728a, {4,2,6,18}*1728a, {4,2,6,18}*1728b, {4,2,18,6}*1728a, {4,2,18,6}*1728b, {4,6,2,18}*1728a, {4,6,18,2}*1728a, {4,18,2,6}*1728a, {4,18,6,2}*1728a, {4,18,6,2}*1728b, {6,2,4,18}*1728a, {6,2,18,4}*1728a, {6,4,2,18}*1728a, {6,4,18,2}*1728, {6,18,2,4}*1728a, {6,18,2,4}*1728b, {6,18,4,2}*1728a, {6,18,4,2}*1728b, {18,2,4,6}*1728a, {18,2,6,4}*1728a, {18,4,2,6}*1728a, {18,4,6,2}*1728, {18,6,2,4}*1728a, {18,6,2,4}*1728b, {18,6,4,2}*1728a, {4,6,6,6}*1728a, {6,6,6,4}*1728a, {2,4,6,6}*1728a, {2,4,6,6}*1728b, {2,6,6,4}*1728a, {2,6,6,4}*1728b, {2,6,12,6}*1728a, {4,2,6,6}*1728a, {4,2,6,6}*1728b, {4,2,6,6}*1728c, {4,6,6,2}*1728a, {4,6,6,2}*1728b, {6,6,2,4}*1728a, {6,6,2,4}*1728b, {6,6,2,4}*1728c, {6,6,4,2}*1728a, {6,6,4,2}*1728b, {6,12,6,2}*1728a, {2,2,12,18}*1728b, {2,2,18,12}*1728b, {2,4,6,18}*1728b, {2,12,18,2}*1728b, {2,18,6,4}*1728b, {2,18,12,2}*1728b, {4,6,18,2}*1728b, {12,18,2,2}*1728b, {18,6,4,2}*1728b, {18,12,2,2}*1728b, {2,2,6,12}*1728c, {2,2,12,6}*1728c, {2,4,6,6}*1728c, {2,6,6,4}*1728c, {2,6,12,2}*1728c, {2,12,6,2}*1728c, {4,6,6,2}*1728c, {6,6,4,2}*1728c, {6,12,2,2}*1728c, {12,6,2,2}*1728c, {2,2,4,6}*1728a, {2,2,4,12}*1728a, {2,2,6,4}*1728a, {2,2,6,12}*1728e, {2,2,6,12}*1728f, {2,2,12,4}*1728a, {2,2,12,6}*1728e, {2,2,12,6}*1728f, {2,4,6,2}*1728a, {2,4,12,2}*1728a, {2,6,4,2}*1728a, {2,6,12,2}*1728e, {2,6,12,2}*1728f, {2,12,4,2}*1728a, {2,12,6,2}*1728e, {2,12,6,2}*1728f, {4,6,2,2}*1728a, {4,12,2,2}*1728a, {6,4,2,2}*1728a, {6,12,2,2}*1728e, {6,12,2,2}*1728f, {12,4,2,2}*1728a, {12,6,2,2}*1728e, {12,6,2,2}*1728f, {2,6,6,12}*1728b, {2,6,6,12}*1728c, {2,6,6,12}*1728d, {2,6,12,6}*1728b, {2,6,12,6}*1728c, {2,6,12,6}*1728d, {2,6,12,6}*1728e, {2,12,6,6}*1728b, {2,12,6,6}*1728c, {2,12,6,6}*1728d, {6,2,6,12}*1728a, {6,2,6,12}*1728b, {6,2,12,6}*1728a, {6,2,12,6}*1728b, {6,6,2,12}*1728a, {6,6,2,12}*1728b, {6,6,2,12}*1728c, {6,6,12,2}*1728b, {6,6,12,2}*1728c, {6,6,12,2}*1728d, {6,12,2,6}*1728a, {6,12,2,6}*1728b, {6,12,6,2}*1728b, {6,12,6,2}*1728c, {6,12,6,2}*1728d, {6,12,6,2}*1728e, {12,2,6,6}*1728a, {12,2,6,6}*1728b, {12,2,6,6}*1728c, {12,6,2,6}*1728a, {12,6,2,6}*1728b, {12,6,6,2}*1728b, {12,6,6,2}*1728c, {12,6,6,2}*1728d, {4,6,6,6}*1728d, {4,6,6,6}*1728e, {4,6,6,6}*1728f, {6,4,6,6}*1728a, {6,4,6,6}*1728b, {6,6,4,6}*1728a, {6,6,4,6}*1728b, {6,6,6,4}*1728d, {6,6,6,4}*1728e, {6,6,6,4}*1728f, {4,2,6,6}*1728d, {6,6,2,4}*1728d, {2,2,6,12}*1728g, {2,2,12,6}*1728g, {2,6,6,12}*1728e, {2,6,12,2}*1728g, {2,12,6,2}*1728g, {2,12,6,6}*1728e, {6,6,12,2}*1728e, {6,12,2,2}*1728g, {12,6,2,2}*1728g, {12,6,6,2}*1728e, {4,6,6,6}*1728g, {4,6,6,6}*1728h, {6,4,6,6}*1728c, {6,6,4,6}*1728c, {6,6,6,4}*1728g, {6,6,6,4}*1728h, {2,4,6,6}*1728h, {2,6,6,4}*1728h, {2,6,6,12}*1728f, {2,6,6,12}*1728g, {2,6,12,6}*1728f, {2,6,12,6}*1728g, {2,12,6,6}*1728f, {2,12,6,6}*1728g, {4,6,6,2}*1728h, {6,2,6,12}*1728c, {6,2,12,6}*1728c, {6,6,4,2}*1728h, {6,6,12,2}*1728f, {6,6,12,2}*1728g, {6,12,2,6}*1728c, {6,12,6,2}*1728f, {6,12,6,2}*1728g, {12,6,2,6}*1728c, {12,6,6,2}*1728f, {12,6,6,2}*1728g, {4,6,6,6}*1728i, {6,6,6,4}*1728i, {2,2,4,6}*1728b, {2,2,4,12}*1728b, {2,2,6,4}*1728b, {2,2,6,12}*1728h, {2,2,12,4}*1728b, {2,2,12,6}*1728h, {2,4,4,6}*1728b, {2,4,6,2}*1728b, {2,4,6,6}*1728j, {2,4,6,6}*1728k, {2,4,12,2}*1728b, {2,6,4,2}*1728b, {2,6,4,4}*1728b, {2,6,4,6}*1728a, {2,6,4,6}*1728b, {2,6,6,4}*1728j, {2,6,6,4}*1728k, {2,6,12,2}*1728h, {2,12,4,2}*1728b, {2,12,6,2}*1728h, {4,4,2,6}*1728, {4,4,6,2}*1728b, {4,6,2,2}*1728b, {4,6,2,6}*1728, {4,6,6,2}*1728j, {4,6,6,2}*1728k, {4,12,2,2}*1728b, {6,2,4,4}*1728, {6,2,4,6}*1728, {6,2,6,4}*1728, {6,4,2,2}*1728b, {6,4,2,6}*1728, {6,4,4,2}*1728b, {6,4,6,2}*1728a, {6,4,6,2}*1728b, {6,6,4,2}*1728j, {6,6,4,2}*1728k, {6,12,2,2}*1728h, {12,4,2,2}*1728b, {12,6,2,2}*1728h, {2,2,6,12}*1728i, {2,2,12,6}*1728i, {2,6,12,2}*1728i, {2,12,6,2}*1728i, {6,12,2,2}*1728i, {12,6,2,2}*1728i
   55-fold covers : {2,2,10,22}*1760, {2,2,22,10}*1760, {2,10,2,22}*1760, {2,10,22,2}*1760, {2,22,2,10}*1760, {2,22,10,2}*1760, {10,2,2,22}*1760, {10,2,22,2}*1760, {10,22,2,2}*1760, {22,2,2,10}*1760, {22,2,10,2}*1760, {22,10,2,2}*1760, {2,2,2,110}*1760, {2,2,110,2}*1760, {2,110,2,2}*1760, {110,2,2,2}*1760
   56-fold covers : {4,4,4,14}*1792, {14,4,4,4}*1792, {2,4,4,28}*1792, {2,28,4,4}*1792, {4,4,28,2}*1792, {28,4,4,2}*1792, {2,4,28,4}*1792, {4,28,4,2}*1792, {4,4,14,4}*1792, {4,14,4,4}*1792, {4,4,2,28}*1792, {28,2,4,4}*1792, {4,2,4,28}*1792, {4,2,28,4}*1792, {4,28,2,4}*1792, {28,4,2,4}*1792, {2,4,8,14}*1792a, {2,8,4,14}*1792a, {2,14,4,8}*1792a, {2,14,8,4}*1792a, {4,8,2,14}*1792a, {4,8,14,2}*1792a, {8,4,2,14}*1792a, {8,4,14,2}*1792a, {14,2,4,8}*1792a, {14,2,8,4}*1792a, {14,4,8,2}*1792a, {14,8,4,2}*1792a, {2,2,8,28}*1792a, {2,2,28,8}*1792a, {2,8,28,2}*1792a, {2,28,8,2}*1792a, {8,28,2,2}*1792a, {28,8,2,2}*1792a, {2,2,4,56}*1792a, {2,2,56,4}*1792a, {2,4,56,2}*1792a, {2,56,4,2}*1792a, {4,56,2,2}*1792a, {56,4,2,2}*1792a, {2,4,8,14}*1792b, {2,8,4,14}*1792b, {2,14,4,8}*1792b, {2,14,8,4}*1792b, {4,8,2,14}*1792b, {4,8,14,2}*1792b, {8,4,2,14}*1792b, {8,4,14,2}*1792b, {14,2,4,8}*1792b, {14,2,8,4}*1792b, {14,4,8,2}*1792b, {14,8,4,2}*1792b, {2,2,8,28}*1792b, {2,2,28,8}*1792b, {2,8,28,2}*1792b, {2,28,8,2}*1792b, {8,28,2,2}*1792b, {28,8,2,2}*1792b, {2,2,4,56}*1792b, {2,2,56,4}*1792b, {2,4,56,2}*1792b, {2,56,4,2}*1792b, {4,56,2,2}*1792b, {56,4,2,2}*1792b, {2,4,4,14}*1792, {2,14,4,4}*1792, {4,4,2,14}*1792, {4,4,14,2}*1792, {14,2,4,4}*1792, {14,4,4,2}*1792, {2,2,4,28}*1792, {2,2,28,4}*1792, {2,4,28,2}*1792, {2,28,4,2}*1792, {4,28,2,2}*1792, {28,4,2,2}*1792, {4,2,8,14}*1792, {4,2,14,8}*1792, {4,14,2,8}*1792, {8,2,4,14}*1792, {8,2,14,4}*1792, {8,14,2,4}*1792, {14,4,2,8}*1792, {14,8,2,4}*1792, {2,4,14,8}*1792, {2,8,14,4}*1792, {4,14,8,2}*1792, {8,14,4,2}*1792, {2,8,2,28}*1792, {2,28,2,8}*1792, {8,2,2,28}*1792, {8,2,28,2}*1792, {28,2,2,8}*1792, {28,2,8,2}*1792, {2,4,2,56}*1792, {2,56,2,4}*1792, {4,2,2,56}*1792, {4,2,56,2}*1792, {56,2,2,4}*1792, {56,2,4,2}*1792, {2,2,14,16}*1792, {2,2,16,14}*1792, {2,14,2,16}*1792, {2,14,16,2}*1792, {2,16,2,14}*1792, {2,16,14,2}*1792, {14,2,2,16}*1792, {14,2,16,2}*1792, {14,16,2,2}*1792, {16,2,2,14}*1792, {16,2,14,2}*1792, {16,14,2,2}*1792, {2,2,2,112}*1792, {2,2,112,2}*1792, {2,112,2,2}*1792, {112,2,2,2}*1792
   57-fold covers : {2,2,6,38}*1824, {2,2,38,6}*1824, {2,6,2,38}*1824, {2,6,38,2}*1824, {2,38,2,6}*1824, {2,38,6,2}*1824, {6,2,2,38}*1824, {6,2,38,2}*1824, {6,38,2,2}*1824, {38,2,2,6}*1824, {38,2,6,2}*1824, {38,6,2,2}*1824, {2,2,2,114}*1824, {2,2,114,2}*1824, {2,114,2,2}*1824, {114,2,2,2}*1824
   58-fold covers : {2,2,4,58}*1856, {2,2,58,4}*1856, {2,4,2,58}*1856, {2,4,58,2}*1856, {2,58,2,4}*1856, {2,58,4,2}*1856, {4,2,2,58}*1856, {4,2,58,2}*1856, {4,58,2,2}*1856, {58,2,2,4}*1856, {58,2,4,2}*1856, {58,4,2,2}*1856, {2,2,2,116}*1856, {2,2,116,2}*1856, {2,116,2,2}*1856, {116,2,2,2}*1856
   59-fold covers : {2,2,2,118}*1888, {2,2,118,2}*1888, {2,118,2,2}*1888, {118,2,2,2}*1888
   60-fold covers : {2,4,4,30}*1920, {2,30,4,4}*1920, {4,4,2,30}*1920, {4,4,30,2}*1920, {30,2,4,4}*1920, {30,4,4,2}*1920, {2,2,4,60}*1920a, {2,2,60,4}*1920a, {2,4,60,2}*1920a, {2,60,4,2}*1920a, {4,60,2,2}*1920a, {60,4,2,2}*1920a, {4,4,6,10}*1920, {4,4,10,6}*1920, {6,4,4,10}*1920, {6,10,4,4}*1920, {10,4,4,6}*1920, {10,6,4,4}*1920, {2,4,12,10}*1920a, {2,10,4,12}*1920, {2,10,12,4}*1920a, {2,12,4,10}*1920, {4,12,2,10}*1920a, {4,12,10,2}*1920a, {10,2,4,12}*1920a, {10,2,12,4}*1920a, {10,4,12,2}*1920, {10,12,4,2}*1920a, {12,4,2,10}*1920a, {12,4,10,2}*1920, {2,4,20,6}*1920, {2,6,4,20}*1920, {2,6,20,4}*1920, {2,20,4,6}*1920, {4,20,2,6}*1920, {4,20,6,2}*1920, {6,2,4,20}*1920, {6,2,20,4}*1920, {6,4,20,2}*1920, {6,20,4,2}*1920, {20,4,2,6}*1920, {20,4,6,2}*1920, {2,2,12,20}*1920, {2,2,20,12}*1920, {2,12,20,2}*1920, {2,20,12,2}*1920, {12,20,2,2}*1920, {20,12,2,2}*1920, {4,2,4,30}*1920a, {4,2,30,4}*1920a, {4,30,2,4}*1920a, {30,4,2,4}*1920a, {2,4,30,4}*1920a, {4,30,4,2}*1920a, {2,4,2,60}*1920, {2,60,2,4}*1920, {4,2,2,60}*1920, {4,2,60,2}*1920, {60,2,2,4}*1920, {60,2,4,2}*1920, {4,6,4,10}*1920a, {10,4,6,4}*1920a, {4,6,10,4}*1920a, {4,10,6,4}*1920a, {4,10,4,6}*1920, {6,4,10,4}*1920, {4,2,10,12}*1920, {4,2,12,10}*1920, {4,10,2,12}*1920, {10,4,2,12}*1920, {10,12,2,4}*1920, {12,2,4,10}*1920, {12,2,10,4}*1920, {12,10,2,4}*1920, {4,2,6,20}*1920a, {4,2,20,6}*1920a, {4,6,2,20}*1920a, {6,4,2,20}*1920a, {6,20,2,4}*1920a, {20,2,4,6}*1920a, {20,2,6,4}*1920a, {20,6,2,4}*1920a, {2,4,10,12}*1920, {2,12,10,4}*1920, {4,10,12,2}*1920, {12,10,4,2}*1920, {2,4,6,20}*1920a, {2,20,6,4}*1920a, {4,6,20,2}*1920a, {20,6,4,2}*1920a, {2,12,2,20}*1920, {2,20,2,12}*1920, {12,2,2,20}*1920, {12,2,20,2}*1920, {20,2,2,12}*1920, {20,2,12,2}*1920, {2,2,8,30}*1920, {2,2,30,8}*1920, {2,8,2,30}*1920, {2,8,30,2}*1920, {2,30,2,8}*1920, {2,30,8,2}*1920, {8,2,2,30}*1920, {8,2,30,2}*1920, {8,30,2,2}*1920, {30,2,2,8}*1920, {30,2,8,2}*1920, {30,8,2,2}*1920, {2,2,2,120}*1920, {2,2,120,2}*1920, {2,120,2,2}*1920, {120,2,2,2}*1920, {2,6,8,10}*1920, {2,6,10,8}*1920, {2,8,6,10}*1920, {2,8,10,6}*1920, {2,10,6,8}*1920, {2,10,8,6}*1920, {6,2,8,10}*1920, {6,2,10,8}*1920, {6,8,2,10}*1920, {6,8,10,2}*1920, {6,10,2,8}*1920, {6,10,8,2}*1920, {8,2,6,10}*1920, {8,2,10,6}*1920, {8,6,2,10}*1920, {8,6,10,2}*1920, {8,10,2,6}*1920, {8,10,6,2}*1920, {10,2,6,8}*1920, {10,2,8,6}*1920, {10,6,2,8}*1920, {10,6,8,2}*1920, {10,8,2,6}*1920, {10,8,6,2}*1920, {2,2,10,24}*1920, {2,2,24,10}*1920, {2,10,2,24}*1920, {2,10,24,2}*1920, {2,24,2,10}*1920, {2,24,10,2}*1920, {10,2,2,24}*1920, {10,2,24,2}*1920, {10,24,2,2}*1920, {24,2,2,10}*1920, {24,2,10,2}*1920, {24,10,2,2}*1920, {2,2,6,40}*1920, {2,2,40,6}*1920, {2,6,2,40}*1920, {2,6,40,2}*1920, {2,40,2,6}*1920, {2,40,6,2}*1920, {6,2,2,40}*1920, {6,2,40,2}*1920, {6,40,2,2}*1920, {40,2,2,6}*1920, {40,2,6,2}*1920, {40,6,2,2}*1920, {2,2,6,20}*1920a, {2,2,6,30}*1920, {2,2,20,6}*1920a, {2,2,30,6}*1920, {2,4,6,10}*1920a, {2,6,4,10}*1920, {2,6,6,10}*1920, {2,6,20,2}*1920a, {2,6,30,2}*1920, {2,10,4,6}*1920, {2,10,6,4}*1920a, {2,10,6,6}*1920, {2,20,6,2}*1920a, {2,30,6,2}*1920, {4,6,2,10}*1920, {4,6,10,2}*1920a, {6,4,2,10}*1920, {6,4,10,2}*1920, {6,6,2,10}*1920, {6,6,10,2}*1920, {6,20,2,2}*1920a, {6,30,2,2}*1920, {10,2,4,6}*1920, {10,2,6,4}*1920, {10,2,6,6}*1920, {10,4,6,2}*1920, {10,6,4,2}*1920a, {10,6,6,2}*1920, {20,6,2,2}*1920a, {30,6,2,2}*1920, {2,2,4,30}*1920, {2,2,30,4}*1920, {2,4,30,2}*1920, {2,30,4,2}*1920, {4,30,2,2}*1920, {30,4,2,2}*1920, {2,2,4,6}*1920, {2,2,4,10}*1920c, {2,2,6,4}*1920, {2,2,6,6}*1920, {2,2,6,10}*1920a, {2,2,10,4}*1920c, {2,2,10,6}*1920a, {2,4,6,2}*1920, {2,4,10,2}*1920c, {2,6,4,2}*1920, {2,6,6,2}*1920, {2,6,6,6}*1920, {2,6,10,2}*1920a, {2,10,4,2}*1920c, {2,10,6,2}*1920a, {4,6,2,2}*1920, {4,10,2,2}*1920c, {6,4,2,2}*1920, {6,6,2,2}*1920, {6,6,6,2}*1920, {6,10,2,2}*1920a, {10,4,2,2}*1920c, {10,6,2,2}*1920a, {2,2,6,10}*1920b, {2,2,10,6}*1920b, {2,2,10,10}*1920, {2,6,10,2}*1920b, {2,10,6,2}*1920b, {2,10,10,2}*1920, {6,10,2,2}*1920b, {10,6,2,2}*1920b, {10,10,2,2}*1920
   61-fold covers : {2,2,2,122}*1952, {2,2,122,2}*1952, {2,122,2,2}*1952, {122,2,2,2}*1952
   62-fold covers : {2,2,4,62}*1984, {2,2,62,4}*1984, {2,4,2,62}*1984, {2,4,62,2}*1984, {2,62,2,4}*1984, {2,62,4,2}*1984, {4,2,2,62}*1984, {4,2,62,2}*1984, {4,62,2,2}*1984, {62,2,2,4}*1984, {62,2,4,2}*1984, {62,4,2,2}*1984, {2,2,2,124}*1984, {2,2,124,2}*1984, {2,124,2,2}*1984, {124,2,2,2}*1984
Permutation Representation (GAP) :
s0 := (1,2);;
s1 := (3,4);;
s2 := (5,6);;
s3 := (7,8);;
s4 := ( 9,10);;
poly := Group([s0,s1,s2,s3,s4]);;
 
Finitely Presented Group Representation (GAP) :
F := FreeGroup("s0","s1","s2","s3","s4");;
s0 := F.1;;  s1 := F.2;;  s2 := F.3;;  s3 := F.4;;  s4 := F.5;;  
rels := [ s0*s0, s1*s1, s2*s2, s3*s3, s4*s4, s0*s1*s0*s1, 
s0*s2*s0*s2, s1*s2*s1*s2, s0*s3*s0*s3, 
s1*s3*s1*s3, s2*s3*s2*s3, s0*s4*s0*s4, 
s1*s4*s1*s4, s2*s4*s2*s4, s3*s4*s3*s4 ];;
poly := F / rels;;
 
Permutation Representation (Magma) :
s0 := Sym(10)!(1,2);
s1 := Sym(10)!(3,4);
s2 := Sym(10)!(5,6);
s3 := Sym(10)!(7,8);
s4 := Sym(10)!( 9,10);
poly := sub<Sym(10)|s0,s1,s2,s3,s4>;
 
Finitely Presented Group Representation (Magma) :
poly<s0,s1,s2,s3,s4> := Group< s0,s1,s2,s3,s4 | s0*s0, s1*s1, s2*s2, 
s3*s3, s4*s4, s0*s1*s0*s1, s0*s2*s0*s2, 
s1*s2*s1*s2, s0*s3*s0*s3, s1*s3*s1*s3, 
s2*s3*s2*s3, s0*s4*s0*s4, s1*s4*s1*s4, 
s2*s4*s2*s4, s3*s4*s3*s4 >; 
 

to this polytope