Polytope of Type {4,2}
This page is part of the Atlas of Small Regular Polytopes
Atlas Canonical Name : {4,2}*16
if this polytope has a name.
Group : SmallGroup(16,11)
Rank : 3
Schlafli Type : {4,2}
Number of vertices, edges, etc : 4, 4, 2
Order of s0s1s2 : 4
Order of s0s1s2s1 : 2
Special Properties :
Degenerate
Universal
Compact Hyperbolic Quotient
Locally Spherical
Orientable
Flat
Self-Petrie
Related Polytopes :
Facet
Vertex Figure
Dual
Petrial
Halving Operation
Facet Of :
{4,2,2} of size 32
{4,2,3} of size 48
{4,2,4} of size 64
{4,2,5} of size 80
{4,2,6} of size 96
{4,2,7} of size 112
{4,2,8} of size 128
{4,2,9} of size 144
{4,2,10} of size 160
{4,2,11} of size 176
{4,2,12} of size 192
{4,2,13} of size 208
{4,2,14} of size 224
{4,2,15} of size 240
{4,2,16} of size 256
{4,2,17} of size 272
{4,2,18} of size 288
{4,2,19} of size 304
{4,2,20} of size 320
{4,2,21} of size 336
{4,2,22} of size 352
{4,2,23} of size 368
{4,2,24} of size 384
{4,2,25} of size 400
{4,2,26} of size 416
{4,2,27} of size 432
{4,2,28} of size 448
{4,2,29} of size 464
{4,2,30} of size 480
{4,2,31} of size 496
{4,2,33} of size 528
{4,2,34} of size 544
{4,2,35} of size 560
{4,2,36} of size 576
{4,2,37} of size 592
{4,2,38} of size 608
{4,2,39} of size 624
{4,2,40} of size 640
{4,2,41} of size 656
{4,2,42} of size 672
{4,2,43} of size 688
{4,2,44} of size 704
{4,2,45} of size 720
{4,2,46} of size 736
{4,2,47} of size 752
{4,2,48} of size 768
{4,2,49} of size 784
{4,2,50} of size 800
{4,2,51} of size 816
{4,2,52} of size 832
{4,2,53} of size 848
{4,2,54} of size 864
{4,2,55} of size 880
{4,2,56} of size 896
{4,2,57} of size 912
{4,2,58} of size 928
{4,2,59} of size 944
{4,2,60} of size 960
{4,2,61} of size 976
{4,2,62} of size 992
{4,2,63} of size 1008
{4,2,65} of size 1040
{4,2,66} of size 1056
{4,2,67} of size 1072
{4,2,68} of size 1088
{4,2,69} of size 1104
{4,2,70} of size 1120
{4,2,71} of size 1136
{4,2,72} of size 1152
{4,2,73} of size 1168
{4,2,74} of size 1184
{4,2,75} of size 1200
{4,2,76} of size 1216
{4,2,77} of size 1232
{4,2,78} of size 1248
{4,2,79} of size 1264
{4,2,80} of size 1280
{4,2,81} of size 1296
{4,2,82} of size 1312
{4,2,83} of size 1328
{4,2,84} of size 1344
{4,2,85} of size 1360
{4,2,86} of size 1376
{4,2,87} of size 1392
{4,2,88} of size 1408
{4,2,89} of size 1424
{4,2,90} of size 1440
{4,2,91} of size 1456
{4,2,92} of size 1472
{4,2,93} of size 1488
{4,2,94} of size 1504
{4,2,95} of size 1520
{4,2,97} of size 1552
{4,2,98} of size 1568
{4,2,99} of size 1584
{4,2,100} of size 1600
{4,2,101} of size 1616
{4,2,102} of size 1632
{4,2,103} of size 1648
{4,2,104} of size 1664
{4,2,105} of size 1680
{4,2,106} of size 1696
{4,2,107} of size 1712
{4,2,108} of size 1728
{4,2,109} of size 1744
{4,2,110} of size 1760
{4,2,111} of size 1776
{4,2,112} of size 1792
{4,2,113} of size 1808
{4,2,114} of size 1824
{4,2,115} of size 1840
{4,2,116} of size 1856
{4,2,117} of size 1872
{4,2,118} of size 1888
{4,2,119} of size 1904
{4,2,120} of size 1920
{4,2,121} of size 1936
{4,2,122} of size 1952
{4,2,123} of size 1968
{4,2,124} of size 1984
{4,2,125} of size 2000
Vertex Figure Of :
{2,4,2} of size 32
{3,4,2} of size 48
{4,4,2} of size 64
{6,4,2} of size 96
{3,4,2} of size 96
{6,4,2} of size 96
{6,4,2} of size 96
{8,4,2} of size 128
{8,4,2} of size 128
{4,4,2} of size 128
{9,4,2} of size 144
{4,4,2} of size 144
{6,4,2} of size 144
{10,4,2} of size 160
{12,4,2} of size 192
{12,4,2} of size 192
{12,4,2} of size 192
{6,4,2} of size 192
{14,4,2} of size 224
{5,4,2} of size 240
{6,4,2} of size 240
{15,4,2} of size 240
{8,4,2} of size 256
{16,4,2} of size 256
{16,4,2} of size 256
{4,4,2} of size 256
{8,4,2} of size 256
{18,4,2} of size 288
{9,4,2} of size 288
{18,4,2} of size 288
{18,4,2} of size 288
{4,4,2} of size 288
{6,4,2} of size 288
{20,4,2} of size 320
{5,4,2} of size 320
{21,4,2} of size 336
{22,4,2} of size 352
{24,4,2} of size 384
{12,4,2} of size 384
{24,4,2} of size 384
{6,4,2} of size 384
{24,4,2} of size 384
{24,4,2} of size 384
{12,4,2} of size 384
{6,4,2} of size 384
{12,4,2} of size 384
{4,4,2} of size 400
{10,4,2} of size 400
{26,4,2} of size 416
{27,4,2} of size 432
{6,4,2} of size 432
{12,4,2} of size 432
{28,4,2} of size 448
{30,4,2} of size 480
{5,4,2} of size 480
{6,4,2} of size 480
{6,4,2} of size 480
{6,4,2} of size 480
{10,4,2} of size 480
{10,4,2} of size 480
{15,4,2} of size 480
{30,4,2} of size 480
{30,4,2} of size 480
{8,4,2} of size 512
{16,4,2} of size 512
{16,4,2} of size 512
{32,4,2} of size 512
{32,4,2} of size 512
{4,4,2} of size 512
{8,4,2} of size 512
{8,4,2} of size 512
{8,4,2} of size 512
{33,4,2} of size 528
{34,4,2} of size 544
{36,4,2} of size 576
{36,4,2} of size 576
{36,4,2} of size 576
{18,4,2} of size 576
{4,4,2} of size 576
{12,4,2} of size 576
{38,4,2} of size 608
{39,4,2} of size 624
{40,4,2} of size 640
{20,4,2} of size 640
{40,4,2} of size 640
{5,4,2} of size 640
{10,4,2} of size 640
{10,4,2} of size 640
{42,4,2} of size 672
{6,4,2} of size 672
{7,4,2} of size 672
{8,4,2} of size 672
{8,4,2} of size 672
{21,4,2} of size 672
{42,4,2} of size 672
{42,4,2} of size 672
{44,4,2} of size 704
{45,4,2} of size 720
{46,4,2} of size 736
{24,4,2} of size 768
{48,4,2} of size 768
{48,4,2} of size 768
{12,4,2} of size 768
{24,4,2} of size 768
{12,4,2} of size 768
{12,4,2} of size 768
{48,4,2} of size 768
{48,4,2} of size 768
{12,4,2} of size 768
{6,4,2} of size 768
{24,4,2} of size 768
{24,4,2} of size 768
{6,4,2} of size 768
{24,4,2} of size 768
{12,4,2} of size 768
{24,4,2} of size 768
{4,4,2} of size 784
{14,4,2} of size 784
{50,4,2} of size 800
{4,4,2} of size 800
{10,4,2} of size 800
{51,4,2} of size 816
{52,4,2} of size 832
{54,4,2} of size 864
{27,4,2} of size 864
{54,4,2} of size 864
{54,4,2} of size 864
{6,4,2} of size 864
{12,4,2} of size 864
{6,4,2} of size 864
{12,4,2} of size 864
{56,4,2} of size 896
{28,4,2} of size 896
{56,4,2} of size 896
{57,4,2} of size 912
{58,4,2} of size 928
{60,4,2} of size 960
{10,4,2} of size 960
{10,4,2} of size 960
{12,4,2} of size 960
{12,4,2} of size 960
{60,4,2} of size 960
{60,4,2} of size 960
{6,4,2} of size 960
{10,4,2} of size 960
{15,4,2} of size 960
{30,4,2} of size 960
{62,4,2} of size 992
{63,4,2} of size 1008
{66,4,2} of size 1056
{33,4,2} of size 1056
{66,4,2} of size 1056
{66,4,2} of size 1056
{68,4,2} of size 1088
{69,4,2} of size 1104
{70,4,2} of size 1120
{72,4,2} of size 1152
{8,4,2} of size 1152
{24,4,2} of size 1152
{72,4,2} of size 1152
{8,4,2} of size 1152
{24,4,2} of size 1152
{36,4,2} of size 1152
{4,4,2} of size 1152
{12,4,2} of size 1152
{18,4,2} of size 1152
{72,4,2} of size 1152
{72,4,2} of size 1152
{36,4,2} of size 1152
{18,4,2} of size 1152
{36,4,2} of size 1152
{74,4,2} of size 1184
{75,4,2} of size 1200
{76,4,2} of size 1216
{78,4,2} of size 1248
{39,4,2} of size 1248
{78,4,2} of size 1248
{78,4,2} of size 1248
{40,4,2} of size 1280
{80,4,2} of size 1280
{80,4,2} of size 1280
{20,4,2} of size 1280
{40,4,2} of size 1280
{20,4,2} of size 1280
{20,4,2} of size 1280
{5,4,2} of size 1280
{10,4,2} of size 1280
{20,4,2} of size 1280
{20,4,2} of size 1280
{10,4,2} of size 1280
{81,4,2} of size 1296
{4,4,2} of size 1296
{18,4,2} of size 1296
{9,4,2} of size 1296
{82,4,2} of size 1312
{84,4,2} of size 1344
{84,4,2} of size 1344
{84,4,2} of size 1344
{6,4,2} of size 1344
{6,4,2} of size 1344
{6,4,2} of size 1344
{7,4,2} of size 1344
{8,4,2} of size 1344
{8,4,2} of size 1344
{8,4,2} of size 1344
{8,4,2} of size 1344
{8,4,2} of size 1344
{8,4,2} of size 1344
{14,4,2} of size 1344
{14,4,2} of size 1344
{42,4,2} of size 1344
{86,4,2} of size 1376
{87,4,2} of size 1392
{88,4,2} of size 1408
{88,4,2} of size 1408
{44,4,2} of size 1408
{90,4,2} of size 1440
{45,4,2} of size 1440
{90,4,2} of size 1440
{90,4,2} of size 1440
{5,4,2} of size 1440
{8,4,2} of size 1440
{10,4,2} of size 1440
{6,4,2} of size 1440
{15,4,2} of size 1440
{20,4,2} of size 1440
{30,4,2} of size 1440
{92,4,2} of size 1472
{93,4,2} of size 1488
{94,4,2} of size 1504
{98,4,2} of size 1568
{4,4,2} of size 1568
{14,4,2} of size 1568
{99,4,2} of size 1584
{100,4,2} of size 1600
{25,4,2} of size 1600
{4,4,2} of size 1600
{20,4,2} of size 1600
{102,4,2} of size 1632
{51,4,2} of size 1632
{102,4,2} of size 1632
{102,4,2} of size 1632
{104,4,2} of size 1664
{104,4,2} of size 1664
{52,4,2} of size 1664
{105,4,2} of size 1680
{106,4,2} of size 1696
{108,4,2} of size 1728
{108,4,2} of size 1728
{108,4,2} of size 1728
{54,4,2} of size 1728
{12,4,2} of size 1728
{12,4,2} of size 1728
{12,4,2} of size 1728
{12,4,2} of size 1728
{110,4,2} of size 1760
{111,4,2} of size 1776
{56,4,2} of size 1792
{112,4,2} of size 1792
{112,4,2} of size 1792
{28,4,2} of size 1792
{56,4,2} of size 1792
{7,4,2} of size 1792
{114,4,2} of size 1824
{57,4,2} of size 1824
{114,4,2} of size 1824
{114,4,2} of size 1824
{116,4,2} of size 1856
{117,4,2} of size 1872
{118,4,2} of size 1888
{120,4,2} of size 1920
{120,4,2} of size 1920
{60,4,2} of size 1920
{30,4,2} of size 1920
{120,4,2} of size 1920
{120,4,2} of size 1920
{60,4,2} of size 1920
{30,4,2} of size 1920
{60,4,2} of size 1920
{15,4,2} of size 1920
{30,4,2} of size 1920
{30,4,2} of size 1920
{10,4,2} of size 1920
{12,4,2} of size 1920
{6,4,2} of size 1920
{12,4,2} of size 1920
{20,4,2} of size 1920
{20,4,2} of size 1920
{20,4,2} of size 1920
{20,4,2} of size 1920
{24,4,2} of size 1920
{24,4,2} of size 1920
{4,4,2} of size 1936
{22,4,2} of size 1936
{122,4,2} of size 1952
{123,4,2} of size 1968
{124,4,2} of size 1984
{10,4,2} of size 2000
{20,4,2} of size 2000
Quotients (Maximal Quotients in Boldface) :
2-fold quotients : {2,2}*8
Covers (Minimal Covers in Boldface) :
2-fold covers : {4,4}*32, {8,2}*32
3-fold covers : {12,2}*48, {4,6}*48a
4-fold covers : {4,8}*64a, {8,4}*64a, {4,8}*64b, {8,4}*64b, {4,4}*64, {16,2}*64
5-fold covers : {20,2}*80, {4,10}*80
6-fold covers : {4,12}*96a, {12,4}*96a, {24,2}*96, {8,6}*96
7-fold covers : {28,2}*112, {4,14}*112
8-fold covers : {4,8}*128a, {8,4}*128a, {8,8}*128a, {8,8}*128b, {8,8}*128c, {8,8}*128d, {4,16}*128a, {16,4}*128a, {4,16}*128b, {16,4}*128b, {4,4}*128, {4,8}*128b, {8,4}*128b, {32,2}*128
9-fold covers : {36,2}*144, {4,18}*144a, {12,6}*144a, {12,6}*144b, {12,6}*144c, {4,6}*144
10-fold covers : {4,20}*160, {20,4}*160, {40,2}*160, {8,10}*160
11-fold covers : {44,2}*176, {4,22}*176
12-fold covers : {4,24}*192a, {24,4}*192a, {4,12}*192a, {12,4}*192a, {4,24}*192b, {24,4}*192b, {8,12}*192a, {12,8}*192a, {8,12}*192b, {12,8}*192b, {48,2}*192, {16,6}*192, {12,4}*192b, {4,6}*192b, {12,6}*192a
13-fold covers : {52,2}*208, {4,26}*208
14-fold covers : {4,28}*224, {28,4}*224, {56,2}*224, {8,14}*224
15-fold covers : {12,10}*240, {20,6}*240a, {60,2}*240, {4,30}*240a
16-fold covers : {8,8}*256a, {4,8}*256a, {8,4}*256a, {8,8}*256b, {8,8}*256c, {8,8}*256d, {4,16}*256a, {16,4}*256a, {4,16}*256b, {16,4}*256b, {8,16}*256a, {16,8}*256a, {8,16}*256b, {16,8}*256b, {8,16}*256c, {8,16}*256d, {16,8}*256c, {16,8}*256d, {8,16}*256e, {8,16}*256f, {16,8}*256e, {16,8}*256f, {4,32}*256a, {32,4}*256a, {4,32}*256b, {32,4}*256b, {4,4}*256, {4,8}*256b, {8,4}*256b, {4,8}*256c, {4,8}*256d, {8,4}*256c, {8,4}*256d, {8,8}*256e, {8,8}*256f, {8,8}*256g, {8,8}*256h, {64,2}*256
17-fold covers : {68,2}*272, {4,34}*272
18-fold covers : {4,36}*288a, {36,4}*288a, {72,2}*288, {8,18}*288, {24,6}*288a, {24,6}*288b, {12,12}*288a, {12,12}*288b, {12,12}*288c, {24,6}*288c, {8,6}*288, {4,4}*288, {4,12}*288, {12,4}*288
19-fold covers : {76,2}*304, {4,38}*304
20-fold covers : {4,40}*320a, {40,4}*320a, {4,20}*320, {20,4}*320, {4,40}*320b, {40,4}*320b, {8,20}*320a, {20,8}*320a, {8,20}*320b, {20,8}*320b, {80,2}*320, {16,10}*320
21-fold covers : {12,14}*336, {28,6}*336a, {84,2}*336, {4,42}*336a
22-fold covers : {4,44}*352, {44,4}*352, {88,2}*352, {8,22}*352
23-fold covers : {92,2}*368, {4,46}*368
24-fold covers : {4,24}*384a, {24,4}*384a, {8,24}*384a, {8,24}*384b, {24,8}*384a, {24,8}*384b, {8,12}*384a, {12,8}*384a, {8,24}*384c, {24,8}*384c, {8,24}*384d, {24,8}*384d, {4,48}*384a, {48,4}*384a, {4,48}*384b, {48,4}*384b, {4,12}*384a, {4,24}*384b, {12,4}*384a, {24,4}*384b, {8,12}*384b, {12,8}*384b, {12,16}*384a, {16,12}*384a, {12,16}*384b, {16,12}*384b, {96,2}*384, {32,6}*384, {4,12}*384d, {12,4}*384d, {12,12}*384a, {12,8}*384e, {12,8}*384f, {8,6}*384f, {12,6}*384, {12,12}*384d, {24,4}*384c, {24,4}*384d, {8,6}*384g, {24,6}*384a, {4,12}*384e, {4,6}*384b, {24,6}*384b
25-fold covers : {100,2}*400, {4,50}*400, {20,10}*400a, {20,10}*400b, {20,10}*400c, {4,10}*400
26-fold covers : {4,52}*416, {52,4}*416, {104,2}*416, {8,26}*416
27-fold covers : {108,2}*432, {4,54}*432a, {36,6}*432a, {36,6}*432b, {12,18}*432a, {12,6}*432a, {12,6}*432b, {12,18}*432b, {12,6}*432c, {4,6}*432a, {12,6}*432e, {12,6}*432f, {12,6}*432g, {4,6}*432b, {12,6}*432h, {12,6}*432i
28-fold covers : {4,56}*448a, {56,4}*448a, {4,28}*448, {28,4}*448, {4,56}*448b, {56,4}*448b, {8,28}*448a, {28,8}*448a, {8,28}*448b, {28,8}*448b, {112,2}*448, {16,14}*448
29-fold covers : {116,2}*464, {4,58}*464
30-fold covers : {24,10}*480, {40,6}*480, {12,20}*480, {20,12}*480, {4,60}*480a, {60,4}*480a, {120,2}*480, {8,30}*480
31-fold covers : {124,2}*496, {4,62}*496
32-fold covers : {4,16}*512a, {16,4}*512a, {8,16}*512a, {16,8}*512a, {8,16}*512b, {16,8}*512b, {16,16}*512a, {16,16}*512b, {16,16}*512c, {16,16}*512d, {16,16}*512e, {16,16}*512f, {16,16}*512g, {16,16}*512h, {16,16}*512i, {16,16}*512j, {16,16}*512k, {16,16}*512l, {8,16}*512c, {16,8}*512c, {8,16}*512d, {16,8}*512d, {8,16}*512e, {16,8}*512e, {8,16}*512f, {16,8}*512f, {8,8}*512a, {8,8}*512b, {8,8}*512c, {4,8}*512a, {8,4}*512a, {8,8}*512d, {8,8}*512e, {8,8}*512f, {8,8}*512g, {4,16}*512b, {16,4}*512b, {4,8}*512b, {4,8}*512c, {8,4}*512b, {8,4}*512c, {8,8}*512h, {8,8}*512i, {8,8}*512j, {8,8}*512k, {8,8}*512l, {8,8}*512m, {8,8}*512n, {8,8}*512o, {4,16}*512c, {4,16}*512d, {16,4}*512c, {16,4}*512d, {8,8}*512p, {8,8}*512q, {8,8}*512r, {8,8}*512s, {8,8}*512t, {8,16}*512g, {16,8}*512g, {8,16}*512h, {16,8}*512h, {4,32}*512a, {32,4}*512a, {4,32}*512b, {32,4}*512b, {8,32}*512a, {8,32}*512b, {32,8}*512a, {32,8}*512b, {8,32}*512c, {8,32}*512d, {32,8}*512c, {32,8}*512d, {4,64}*512a, {64,4}*512a, {4,64}*512b, {64,4}*512b, {4,4}*512, {4,16}*512e, {16,4}*512e, {4,8}*512d, {4,16}*512f, {8,4}*512d, {16,4}*512f, {128,2}*512
33-fold covers : {12,22}*528, {44,6}*528a, {132,2}*528, {4,66}*528a
34-fold covers : {4,68}*544, {68,4}*544, {136,2}*544, {8,34}*544
35-fold covers : {20,14}*560, {28,10}*560, {140,2}*560, {4,70}*560
36-fold covers : {4,72}*576a, {72,4}*576a, {4,36}*576a, {36,4}*576a, {4,72}*576b, {72,4}*576b, {8,36}*576a, {36,8}*576a, {8,36}*576b, {36,8}*576b, {144,2}*576, {16,18}*576, {48,6}*576a, {48,6}*576b, {12,24}*576a, {24,12}*576a, {12,12}*576a, {12,12}*576b, {12,12}*576c, {12,24}*576b, {24,12}*576b, {12,24}*576c, {12,24}*576d, {24,12}*576c, {24,12}*576d, {12,24}*576e, {12,24}*576f, {24,12}*576e, {24,12}*576f, {48,6}*576c, {36,4}*576b, {4,18}*576b, {16,6}*576, {4,4}*576, {4,12}*576, {12,4}*576, {8,12}*576a, {12,8}*576a, {4,8}*576a, {4,24}*576a, {8,4}*576a, {24,4}*576a, {4,8}*576b, {4,24}*576b, {8,4}*576b, {24,4}*576b, {8,12}*576b, {12,8}*576b, {12,12}*576d, {12,12}*576e, {12,6}*576a, {12,6}*576b, {12,6}*576e, {12,6}*576f
37-fold covers : {148,2}*592, {4,74}*592
38-fold covers : {4,76}*608, {76,4}*608, {152,2}*608, {8,38}*608
39-fold covers : {12,26}*624, {52,6}*624a, {156,2}*624, {4,78}*624a
40-fold covers : {4,40}*640a, {40,4}*640a, {8,40}*640a, {8,40}*640b, {40,8}*640a, {40,8}*640b, {8,20}*640a, {20,8}*640a, {8,40}*640c, {40,8}*640c, {8,40}*640d, {40,8}*640d, {4,80}*640a, {80,4}*640a, {4,80}*640b, {80,4}*640b, {4,20}*640a, {4,40}*640b, {20,4}*640a, {40,4}*640b, {8,20}*640b, {20,8}*640b, {16,20}*640a, {20,16}*640a, {16,20}*640b, {20,16}*640b, {160,2}*640, {32,10}*640
41-fold covers : {164,2}*656, {4,82}*656
42-fold covers : {24,14}*672, {56,6}*672, {12,28}*672, {28,12}*672, {4,84}*672a, {84,4}*672a, {168,2}*672, {8,42}*672
43-fold covers : {172,2}*688, {4,86}*688
44-fold covers : {4,88}*704a, {88,4}*704a, {4,44}*704, {44,4}*704, {4,88}*704b, {88,4}*704b, {8,44}*704a, {44,8}*704a, {8,44}*704b, {44,8}*704b, {176,2}*704, {16,22}*704
45-fold covers : {36,10}*720, {20,18}*720a, {180,2}*720, {4,90}*720a, {60,6}*720a, {12,30}*720a, {12,30}*720b, {60,6}*720b, {60,6}*720c, {12,30}*720c, {4,30}*720, {20,6}*720
46-fold covers : {4,92}*736, {92,4}*736, {184,2}*736, {8,46}*736
47-fold covers : {188,2}*752, {4,94}*752
48-fold covers : {8,24}*768a, {24,8}*768a, {8,12}*768a, {8,24}*768b, {12,8}*768a, {24,8}*768b, {4,24}*768a, {24,4}*768a, {8,24}*768c, {24,8}*768c, {8,24}*768d, {24,8}*768d, {12,16}*768a, {16,12}*768a, {4,48}*768a, {48,4}*768a, {12,16}*768b, {16,12}*768b, {4,48}*768b, {48,4}*768b, {8,48}*768a, {48,8}*768a, {16,24}*768a, {24,16}*768a, {8,48}*768b, {48,8}*768b, {16,24}*768b, {24,16}*768b, {16,24}*768c, {24,16}*768c, {8,48}*768c, {8,48}*768d, {48,8}*768c, {48,8}*768d, {16,24}*768d, {24,16}*768d, {16,24}*768e, {24,16}*768e, {8,48}*768e, {8,48}*768f, {48,8}*768e, {48,8}*768f, {16,24}*768f, {24,16}*768f, {12,32}*768a, {32,12}*768a, {4,96}*768a, {96,4}*768a, {12,32}*768b, {32,12}*768b, {4,96}*768b, {96,4}*768b, {4,12}*768a, {4,24}*768b, {12,4}*768a, {24,4}*768b, {8,12}*768b, {12,8}*768b, {8,12}*768c, {8,24}*768e, {12,8}*768c, {24,8}*768e, {4,24}*768c, {4,24}*768d, {24,4}*768c, {24,4}*768d, {8,12}*768d, {8,24}*768f, {12,8}*768d, {24,8}*768f, {8,24}*768g, {24,8}*768g, {8,24}*768h, {24,8}*768h, {64,6}*768, {192,2}*768, {24,8}*768i, {24,8}*768j, {24,8}*768k, {24,8}*768l, {8,6}*768j, {24,6}*768, {8,12}*768o, {24,12}*768a, {8,12}*768p, {24,12}*768b, {12,4}*768b, {4,6}*768a, {12,6}*768f, {12,8}*768q, {12,8}*768r, {8,12}*768s, {12,8}*768s, {12,12}*768a, {4,24}*768i, {24,4}*768i, {4,12}*768d, {12,4}*768d, {12,12}*768b, {8,12}*768t, {12,8}*768t, {12,12}*768c, {4,24}*768j, {24,4}*768j, {8,12}*768u, {12,8}*768u, {12,24}*768c, {24,12}*768c, {4,12}*768e, {4,24}*768k, {12,4}*768e, {12,24}*768d, {24,4}*768k, {24,12}*768d, {8,6}*768k, {12,6}*768g, {8,12}*768w, {12,8}*768w, {12,24}*768e, {24,12}*768e, {4,12}*768f, {4,24}*768l, {12,4}*768f, {12,24}*768f, {24,4}*768l, {24,12}*768f, {8,6}*768l, {12,6}*768h, {48,4}*768c, {48,4}*768d, {16,6}*768b, {48,6}*768a, {16,6}*768c, {48,6}*768b
49-fold covers : {196,2}*784, {4,98}*784, {28,14}*784a, {28,14}*784b, {28,14}*784c, {4,14}*784
50-fold covers : {4,100}*800, {100,4}*800, {200,2}*800, {8,50}*800, {40,10}*800a, {40,10}*800b, {20,20}*800a, {20,20}*800b, {20,20}*800c, {40,10}*800c, {8,10}*800, {4,4}*800, {4,20}*800, {20,4}*800
51-fold covers : {12,34}*816, {68,6}*816a, {204,2}*816, {4,102}*816a
52-fold covers : {4,104}*832a, {104,4}*832a, {4,52}*832, {52,4}*832, {4,104}*832b, {104,4}*832b, {8,52}*832a, {52,8}*832a, {8,52}*832b, {52,8}*832b, {208,2}*832, {16,26}*832
53-fold covers : {212,2}*848, {4,106}*848
54-fold covers : {4,108}*864a, {108,4}*864a, {216,2}*864, {8,54}*864, {72,6}*864a, {72,6}*864b, {24,18}*864a, {24,6}*864a, {24,6}*864b, {12,36}*864a, {12,36}*864b, {36,12}*864a, {36,12}*864b, {12,12}*864a, {12,12}*864b, {12,12}*864c, {24,18}*864b, {24,6}*864c, {8,6}*864a, {24,6}*864d, {24,6}*864e, {4,12}*864a, {4,12}*864b, {12,4}*864a, {12,4}*864b, {12,12}*864d, {12,12}*864e, {12,12}*864f, {12,12}*864g, {24,6}*864f, {12,12}*864h, {4,12}*864c, {4,12}*864d, {12,4}*864c, {12,4}*864d, {12,12}*864i, {12,12}*864j, {8,6}*864b, {24,6}*864g, {24,6}*864h, {12,12}*864k, {12,12}*864l
55-fold covers : {20,22}*880, {44,10}*880, {220,2}*880, {4,110}*880
56-fold covers : {4,56}*896a, {56,4}*896a, {8,56}*896a, {8,56}*896b, {56,8}*896a, {56,8}*896b, {8,28}*896a, {28,8}*896a, {8,56}*896c, {56,8}*896c, {8,56}*896d, {56,8}*896d, {4,112}*896a, {112,4}*896a, {4,112}*896b, {112,4}*896b, {4,28}*896, {4,56}*896b, {28,4}*896, {56,4}*896b, {8,28}*896b, {28,8}*896b, {16,28}*896a, {28,16}*896a, {16,28}*896b, {28,16}*896b, {224,2}*896, {32,14}*896
57-fold covers : {12,38}*912, {76,6}*912a, {228,2}*912, {4,114}*912a
58-fold covers : {4,116}*928, {116,4}*928, {232,2}*928, {8,58}*928
59-fold covers : {236,2}*944, {4,118}*944
60-fold covers : {48,10}*960, {80,6}*960, {12,20}*960a, {20,12}*960a, {20,24}*960a, {24,20}*960a, {12,40}*960a, {40,12}*960a, {20,24}*960b, {24,20}*960b, {12,40}*960b, {40,12}*960b, {4,120}*960a, {120,4}*960a, {4,60}*960a, {60,4}*960a, {4,120}*960b, {120,4}*960b, {8,60}*960a, {60,8}*960a, {8,60}*960b, {60,8}*960b, {240,2}*960, {16,30}*960, {4,6}*960, {12,4}*960a, {20,4}*960c, {20,6}*960a, {4,10}*960, {12,6}*960b, {12,10}*960b, {12,10}*960c, {20,6}*960c, {20,10}*960a, {12,20}*960b, {20,6}*960e, {60,6}*960a, {12,30}*960b, {60,4}*960b, {4,30}*960b
61-fold covers : {244,2}*976, {4,122}*976
62-fold covers : {4,124}*992, {124,4}*992, {248,2}*992, {8,62}*992
63-fold covers : {36,14}*1008, {28,18}*1008a, {252,2}*1008, {4,126}*1008a, {84,6}*1008a, {12,42}*1008a, {12,42}*1008b, {84,6}*1008b, {84,6}*1008c, {12,42}*1008c, {4,42}*1008, {28,6}*1008
65-fold covers : {20,26}*1040, {52,10}*1040, {260,2}*1040, {4,130}*1040
66-fold covers : {24,22}*1056, {88,6}*1056, {12,44}*1056, {44,12}*1056, {4,132}*1056a, {132,4}*1056a, {264,2}*1056, {8,66}*1056
67-fold covers : {4,134}*1072, {268,2}*1072
68-fold covers : {8,68}*1088a, {68,8}*1088a, {4,136}*1088a, {136,4}*1088a, {8,68}*1088b, {68,8}*1088b, {4,136}*1088b, {136,4}*1088b, {4,68}*1088, {68,4}*1088, {16,34}*1088, {272,2}*1088
69-fold covers : {12,46}*1104, {92,6}*1104a, {276,2}*1104, {4,138}*1104a
70-fold covers : {40,14}*1120, {56,10}*1120, {20,28}*1120, {28,20}*1120, {4,140}*1120, {140,4}*1120, {280,2}*1120, {8,70}*1120
71-fold covers : {4,142}*1136, {284,2}*1136
72-fold covers : {8,36}*1152a, {36,8}*1152a, {4,72}*1152a, {72,4}*1152a, {12,24}*1152a, {12,24}*1152b, {24,12}*1152a, {24,12}*1152b, {12,24}*1152c, {24,12}*1152c, {4,8}*1152a, {4,24}*1152a, {8,4}*1152a, {24,4}*1152a, {8,12}*1152a, {12,8}*1152a, {8,72}*1152a, {72,8}*1152a, {8,72}*1152b, {8,72}*1152c, {72,8}*1152b, {72,8}*1152c, {24,24}*1152a, {24,24}*1152b, {24,24}*1152c, {24,24}*1152d, {24,24}*1152e, {24,24}*1152f, {24,24}*1152g, {24,24}*1152h, {24,24}*1152i, {8,8}*1152a, {8,24}*1152a, {24,8}*1152a, {8,8}*1152b, {8,8}*1152c, {8,24}*1152b, {8,24}*1152c, {24,8}*1152b, {24,8}*1152c, {8,72}*1152d, {72,8}*1152d, {24,24}*1152j, {24,24}*1152k, {24,24}*1152l, {8,8}*1152d, {8,24}*1152d, {24,8}*1152d, {16,36}*1152a, {36,16}*1152a, {4,144}*1152a, {144,4}*1152a, {12,48}*1152a, {12,48}*1152b, {48,12}*1152a, {48,12}*1152b, {12,48}*1152c, {48,12}*1152c, {4,16}*1152a, {4,48}*1152a, {16,4}*1152a, {48,4}*1152a, {12,16}*1152a, {16,12}*1152a, {16,36}*1152b, {36,16}*1152b, {4,144}*1152b, {144,4}*1152b, {12,48}*1152d, {12,48}*1152e, {48,12}*1152d, {48,12}*1152e, {12,48}*1152f, {48,12}*1152f, {4,16}*1152b, {4,48}*1152b, {16,4}*1152b, {48,4}*1152b, {12,16}*1152b, {16,12}*1152b, {4,36}*1152a, {4,72}*1152b, {36,4}*1152a, {72,4}*1152b, {8,36}*1152b, {36,8}*1152b, {12,12}*1152a, {12,12}*1152b, {12,24}*1152d, {12,24}*1152e, {24,12}*1152d, {24,12}*1152e, {12,12}*1152c, {12,24}*1152f, {24,12}*1152f, {4,8}*1152b, {4,12}*1152a, {8,4}*1152b, {8,12}*1152b, {12,4}*1152a, {12,8}*1152b, {4,4}*1152, {4,24}*1152b, {24,4}*1152b, {32,18}*1152, {288,2}*1152, {96,6}*1152a, {96,6}*1152b, {96,6}*1152c, {32,6}*1152, {4,36}*1152d, {36,4}*1152d, {36,8}*1152e, {36,8}*1152f, {8,18}*1152f, {72,4}*1152c, {72,4}*1152d, {8,18}*1152g, {4,36}*1152e, {4,18}*1152b, {12,24}*1152i, {12,24}*1152j, {12,24}*1152k, {12,24}*1152l, {12,12}*1152g, {12,6}*1152a, {24,6}*1152d, {24,12}*1152o, {24,12}*1152p, {24,12}*1152q, {24,12}*1152r, {24,6}*1152g, {24,6}*1152h, {12,6}*1152d, {24,6}*1152i, {12,12}*1152i, {12,12}*1152j, {12,12}*1152k, {12,12}*1152l, {12,12}*1152m, {12,12}*1152n, {12,12}*1152o, {24,6}*1152j, {24,6}*1152k, {12,6}*1152e, {24,6}*1152l, {12,12}*1152p, {12,12}*1152r, {12,6}*1152f, {24,6}*1152m
73-fold covers : {4,146}*1168, {292,2}*1168
74-fold covers : {4,148}*1184, {148,4}*1184, {8,74}*1184, {296,2}*1184
75-fold covers : {12,50}*1200, {100,6}*1200a, {300,2}*1200, {4,150}*1200a, {12,6}*1200a, {20,6}*1200a, {12,10}*1200a, {12,10}*1200b, {12,6}*1200b, {20,6}*1200b, {20,30}*1200a, {60,10}*1200a, {20,30}*1200b, {60,10}*1200b, {60,10}*1200c, {20,30}*1200c, {4,30}*1200b, {12,10}*1200c
76-fold covers : {8,76}*1216a, {76,8}*1216a, {4,152}*1216a, {152,4}*1216a, {8,76}*1216b, {76,8}*1216b, {4,152}*1216b, {152,4}*1216b, {4,76}*1216, {76,4}*1216, {16,38}*1216, {304,2}*1216
77-fold covers : {28,22}*1232, {44,14}*1232, {308,2}*1232, {4,154}*1232
78-fold covers : {24,26}*1248, {104,6}*1248, {12,52}*1248, {52,12}*1248, {4,156}*1248a, {156,4}*1248a, {312,2}*1248, {8,78}*1248
79-fold covers : {4,158}*1264, {316,2}*1264
80-fold covers : {8,40}*1280a, {40,8}*1280a, {8,20}*1280a, {8,40}*1280b, {20,8}*1280a, {40,8}*1280b, {4,40}*1280a, {40,4}*1280a, {8,40}*1280c, {40,8}*1280c, {8,40}*1280d, {40,8}*1280d, {16,20}*1280a, {20,16}*1280a, {4,80}*1280a, {80,4}*1280a, {16,20}*1280b, {20,16}*1280b, {4,80}*1280b, {80,4}*1280b, {8,80}*1280a, {80,8}*1280a, {16,40}*1280a, {40,16}*1280a, {8,80}*1280b, {80,8}*1280b, {16,40}*1280b, {40,16}*1280b, {16,40}*1280c, {40,16}*1280c, {8,80}*1280c, {8,80}*1280d, {80,8}*1280c, {80,8}*1280d, {16,40}*1280d, {40,16}*1280d, {16,40}*1280e, {40,16}*1280e, {8,80}*1280e, {8,80}*1280f, {80,8}*1280e, {80,8}*1280f, {16,40}*1280f, {40,16}*1280f, {20,32}*1280a, {32,20}*1280a, {4,160}*1280a, {160,4}*1280a, {20,32}*1280b, {32,20}*1280b, {4,160}*1280b, {160,4}*1280b, {4,20}*1280a, {4,40}*1280b, {20,4}*1280a, {40,4}*1280b, {8,20}*1280b, {20,8}*1280b, {8,20}*1280c, {8,40}*1280e, {20,8}*1280c, {40,8}*1280e, {4,40}*1280c, {4,40}*1280d, {40,4}*1280c, {40,4}*1280d, {8,20}*1280d, {8,40}*1280f, {20,8}*1280d, {40,8}*1280f, {8,40}*1280g, {40,8}*1280g, {8,40}*1280h, {40,8}*1280h, {64,10}*1280, {320,2}*1280, {4,10}*1280a, {20,10}*1280c, {20,4}*1280c
81-fold covers : {324,2}*1296, {4,162}*1296a, {36,18}*1296a, {36,18}*1296b, {12,18}*1296a, {36,6}*1296a, {36,6}*1296b, {12,54}*1296a, {108,6}*1296a, {108,6}*1296b, {12,6}*1296a, {36,6}*1296c, {12,6}*1296b, {36,6}*1296d, {12,18}*1296b, {36,6}*1296e, {36,6}*1296f, {12,18}*1296c, {12,18}*1296d, {12,6}*1296c, {36,6}*1296g, {36,18}*1296c, {12,18}*1296e, {12,54}*1296b, {12,18}*1296f, {12,18}*1296g, {12,18}*1296h, {12,6}*1296d, {36,6}*1296h, {4,18}*1296a, {36,6}*1296l, {12,18}*1296l, {12,6}*1296g, {12,6}*1296h, {12,6}*1296i, {4,18}*1296b, {4,6}*1296a, {12,6}*1296j, {12,6}*1296k, {12,6}*1296l, {12,6}*1296m, {12,6}*1296n, {36,6}*1296m, {12,6}*1296o, {36,6}*1296n, {36,6}*1296o, {12,6}*1296s, {12,6}*1296t, {12,6}*1296u
82-fold covers : {4,164}*1312, {164,4}*1312, {8,82}*1312, {328,2}*1312
83-fold covers : {4,166}*1328, {332,2}*1328
84-fold covers : {48,14}*1344, {112,6}*1344, {12,28}*1344a, {28,12}*1344a, {24,28}*1344a, {28,24}*1344a, {12,56}*1344a, {56,12}*1344a, {24,28}*1344b, {28,24}*1344b, {12,56}*1344b, {56,12}*1344b, {4,168}*1344a, {168,4}*1344a, {4,84}*1344a, {84,4}*1344a, {4,168}*1344b, {168,4}*1344b, {8,84}*1344a, {84,8}*1344a, {8,84}*1344b, {84,8}*1344b, {336,2}*1344, {16,42}*1344, {12,28}*1344b, {28,6}*1344e, {84,6}*1344a, {12,42}*1344b, {84,4}*1344b, {4,42}*1344b
85-fold covers : {20,34}*1360, {68,10}*1360, {340,2}*1360, {4,170}*1360
86-fold covers : {4,172}*1376, {172,4}*1376, {8,86}*1376, {344,2}*1376
87-fold covers : {12,58}*1392, {116,6}*1392a, {348,2}*1392, {4,174}*1392a
88-fold covers : {8,44}*1408a, {44,8}*1408a, {4,88}*1408a, {88,4}*1408a, {8,88}*1408a, {88,8}*1408a, {8,88}*1408b, {8,88}*1408c, {88,8}*1408b, {88,8}*1408c, {8,88}*1408d, {88,8}*1408d, {16,44}*1408a, {44,16}*1408a, {4,176}*1408a, {176,4}*1408a, {16,44}*1408b, {44,16}*1408b, {4,176}*1408b, {176,4}*1408b, {4,44}*1408, {4,88}*1408b, {44,4}*1408, {88,4}*1408b, {8,44}*1408b, {44,8}*1408b, {32,22}*1408, {352,2}*1408
89-fold covers : {4,178}*1424, {356,2}*1424
90-fold covers : {72,10}*1440, {40,18}*1440, {20,36}*1440, {36,20}*1440, {4,180}*1440a, {180,4}*1440a, {360,2}*1440, {8,90}*1440, {120,6}*1440a, {24,30}*1440a, {12,60}*1440a, {60,12}*1440a, {24,30}*1440b, {120,6}*1440b, {120,6}*1440c, {12,60}*1440b, {12,60}*1440c, {60,12}*1440b, {60,12}*1440c, {24,30}*1440c, {4,20}*1440, {4,60}*1440, {20,4}*1440, {60,4}*1440, {8,30}*1440, {40,6}*1440, {12,20}*1440, {20,12}*1440
91-fold covers : {28,26}*1456, {52,14}*1456, {364,2}*1456, {4,182}*1456
92-fold covers : {8,92}*1472a, {92,8}*1472a, {4,184}*1472a, {184,4}*1472a, {8,92}*1472b, {92,8}*1472b, {4,184}*1472b, {184,4}*1472b, {4,92}*1472, {92,4}*1472, {16,46}*1472, {368,2}*1472
93-fold covers : {12,62}*1488, {124,6}*1488a, {372,2}*1488, {4,186}*1488a
94-fold covers : {4,188}*1504, {188,4}*1504, {8,94}*1504, {376,2}*1504
95-fold covers : {20,38}*1520, {76,10}*1520, {380,2}*1520, {4,190}*1520
97-fold covers : {4,194}*1552, {388,2}*1552
98-fold covers : {4,196}*1568, {196,4}*1568, {392,2}*1568, {8,98}*1568, {56,14}*1568a, {56,14}*1568b, {28,28}*1568a, {28,28}*1568b, {28,28}*1568c, {56,14}*1568c, {8,14}*1568a, {4,4}*1568, {4,28}*1568, {28,4}*1568, {8,14}*1568b, {8,14}*1568c
99-fold covers : {36,22}*1584, {44,18}*1584a, {396,2}*1584, {4,198}*1584a, {132,6}*1584a, {12,66}*1584a, {12,66}*1584b, {132,6}*1584b, {132,6}*1584c, {12,66}*1584c, {4,66}*1584, {44,6}*1584
100-fold covers : {4,200}*1600a, {200,4}*1600a, {4,100}*1600, {100,4}*1600, {4,200}*1600b, {200,4}*1600b, {8,100}*1600a, {100,8}*1600a, {8,100}*1600b, {100,8}*1600b, {400,2}*1600, {16,50}*1600, {80,10}*1600a, {80,10}*1600b, {20,40}*1600a, {40,20}*1600a, {20,20}*1600a, {20,20}*1600b, {20,20}*1600c, {20,40}*1600b, {40,20}*1600b, {20,40}*1600c, {20,40}*1600d, {40,20}*1600c, {40,20}*1600d, {20,40}*1600e, {20,40}*1600f, {40,20}*1600e, {40,20}*1600f, {80,10}*1600c, {16,10}*1600, {4,4}*1600, {4,20}*1600, {20,4}*1600, {8,20}*1600a, {20,8}*1600a, {4,8}*1600a, {4,40}*1600a, {8,4}*1600a, {40,4}*1600a, {4,8}*1600b, {4,40}*1600b, {8,4}*1600b, {40,4}*1600b, {8,20}*1600b, {20,8}*1600b
101-fold covers : {4,202}*1616, {404,2}*1616
102-fold covers : {24,34}*1632, {136,6}*1632, {12,68}*1632, {68,12}*1632, {4,204}*1632a, {204,4}*1632a, {408,2}*1632, {8,102}*1632
103-fold covers : {4,206}*1648, {412,2}*1648
104-fold covers : {8,52}*1664a, {52,8}*1664a, {4,104}*1664a, {104,4}*1664a, {8,104}*1664a, {104,8}*1664a, {8,104}*1664b, {8,104}*1664c, {104,8}*1664b, {104,8}*1664c, {8,104}*1664d, {104,8}*1664d, {16,52}*1664a, {52,16}*1664a, {4,208}*1664a, {208,4}*1664a, {16,52}*1664b, {52,16}*1664b, {4,208}*1664b, {208,4}*1664b, {4,52}*1664, {4,104}*1664b, {52,4}*1664, {104,4}*1664b, {8,52}*1664b, {52,8}*1664b, {32,26}*1664, {416,2}*1664
105-fold covers : {60,14}*1680, {28,30}*1680a, {20,42}*1680a, {84,10}*1680, {12,70}*1680, {140,6}*1680a, {420,2}*1680, {4,210}*1680a
106-fold covers : {4,212}*1696, {212,4}*1696, {8,106}*1696, {424,2}*1696
107-fold covers : {4,214}*1712, {428,2}*1712
108-fold covers : {4,216}*1728a, {216,4}*1728a, {4,108}*1728a, {108,4}*1728a, {4,216}*1728b, {216,4}*1728b, {8,108}*1728a, {108,8}*1728a, {8,108}*1728b, {108,8}*1728b, {432,2}*1728, {16,54}*1728, {144,6}*1728a, {144,6}*1728b, {48,18}*1728a, {48,6}*1728a, {48,6}*1728b, {24,36}*1728a, {36,24}*1728a, {12,24}*1728a, {24,12}*1728a, {12,36}*1728a, {12,36}*1728b, {36,12}*1728a, {36,12}*1728b, {12,12}*1728a, {12,12}*1728b, {12,12}*1728c, {24,36}*1728b, {36,24}*1728b, {12,24}*1728b, {24,12}*1728b, {12,72}*1728a, {12,72}*1728b, {72,12}*1728a, {72,12}*1728b, {24,36}*1728c, {36,24}*1728c, {12,24}*1728c, {12,24}*1728d, {24,12}*1728c, {24,12}*1728d, {12,72}*1728c, {12,72}*1728d, {72,12}*1728c, {72,12}*1728d, {24,36}*1728d, {36,24}*1728d, {12,24}*1728e, {12,24}*1728f, {24,12}*1728e, {24,12}*1728f, {48,18}*1728b, {48,6}*1728c, {108,4}*1728b, {4,54}*1728b, {16,6}*1728a, {48,6}*1728d, {48,6}*1728e, {4,12}*1728a, {4,12}*1728b, {12,4}*1728a, {12,4}*1728b, {12,12}*1728d, {12,12}*1728e, {12,12}*1728f, {12,12}*1728g, {8,12}*1728a, {12,8}*1728a, {12,24}*1728g, {12,24}*1728h, {24,12}*1728g, {24,12}*1728h, {4,24}*1728a, {4,24}*1728b, {8,12}*1728b, {12,8}*1728b, {12,24}*1728i, {12,24}*1728j, {24,4}*1728a, {24,4}*1728b, {24,12}*1728i, {24,12}*1728j, {4,24}*1728c, {4,24}*1728d, {8,12}*1728c, {12,8}*1728c, {12,24}*1728k, {12,24}*1728l, {24,4}*1728c, {24,4}*1728d, {24,12}*1728k, {24,12}*1728l, {8,12}*1728d, {12,8}*1728d, {12,24}*1728m, {12,24}*1728n, {24,12}*1728m, {24,12}*1728n, {48,6}*1728f, {12,24}*1728o, {24,12}*1728o, {12,24}*1728p, {24,12}*1728p, {12,12}*1728h, {12,36}*1728c, {36,6}*1728a, {36,6}*1728b, {12,18}*1728b, {36,12}*1728e, {36,12}*1728f, {12,18}*1728c, {12,12}*1728i, {12,12}*1728j, {12,6}*1728a, {12,6}*1728b, {12,18}*1728d, {12,6}*1728e, {12,6}*1728f, {4,24}*1728e, {4,24}*1728f, {24,4}*1728e, {24,4}*1728f, {8,12}*1728e, {12,8}*1728e, {12,24}*1728q, {24,12}*1728q, {4,24}*1728g, {4,24}*1728h, {24,4}*1728g, {24,4}*1728h, {8,12}*1728f, {12,8}*1728f, {12,24}*1728r, {24,12}*1728r, {16,6}*1728b, {48,6}*1728g, {8,12}*1728g, {12,8}*1728g, {12,24}*1728s, {24,12}*1728s, {8,12}*1728h, {12,8}*1728h, {12,24}*1728t, {24,12}*1728t, {4,12}*1728c, {4,12}*1728d, {12,4}*1728c, {12,4}*1728d, {12,12}*1728q, {12,12}*1728r, {48,6}*1728h, {12,12}*1728s, {12,12}*1728t, {12,24}*1728u, {24,12}*1728u, {12,24}*1728v, {24,12}*1728v, {12,24}*1728w, {24,12}*1728w, {12,24}*1728x, {24,12}*1728x, {12,12}*1728v, {12,6}*1728h, {12,6}*1728i, {4,6}*1728, {12,6}*1728j, {12,12}*1728aa
109-fold covers : {4,218}*1744, {436,2}*1744
110-fold covers : {40,22}*1760, {88,10}*1760, {20,44}*1760, {44,20}*1760, {4,220}*1760, {220,4}*1760, {440,2}*1760, {8,110}*1760
111-fold covers : {12,74}*1776, {148,6}*1776a, {444,2}*1776, {4,222}*1776a
112-fold covers : {8,56}*1792a, {56,8}*1792a, {8,28}*1792a, {8,56}*1792b, {28,8}*1792a, {56,8}*1792b, {4,56}*1792a, {56,4}*1792a, {8,56}*1792c, {56,8}*1792c, {8,56}*1792d, {56,8}*1792d, {16,28}*1792a, {28,16}*1792a, {4,112}*1792a, {112,4}*1792a, {16,28}*1792b, {28,16}*1792b, {4,112}*1792b, {112,4}*1792b, {8,112}*1792a, {112,8}*1792a, {16,56}*1792a, {56,16}*1792a, {8,112}*1792b, {112,8}*1792b, {16,56}*1792b, {56,16}*1792b, {16,56}*1792c, {56,16}*1792c, {8,112}*1792c, {8,112}*1792d, {112,8}*1792c, {112,8}*1792d, {16,56}*1792d, {56,16}*1792d, {16,56}*1792e, {56,16}*1792e, {8,112}*1792e, {8,112}*1792f, {112,8}*1792e, {112,8}*1792f, {16,56}*1792f, {56,16}*1792f, {28,32}*1792a, {32,28}*1792a, {4,224}*1792a, {224,4}*1792a, {28,32}*1792b, {32,28}*1792b, {4,224}*1792b, {224,4}*1792b, {4,28}*1792, {4,56}*1792b, {28,4}*1792, {56,4}*1792b, {8,28}*1792b, {28,8}*1792b, {8,28}*1792c, {8,56}*1792e, {28,8}*1792c, {56,8}*1792e, {4,56}*1792c, {4,56}*1792d, {56,4}*1792c, {56,4}*1792d, {8,28}*1792d, {8,56}*1792f, {28,8}*1792d, {56,8}*1792f, {8,56}*1792g, {56,8}*1792g, {8,56}*1792h, {56,8}*1792h, {64,14}*1792, {448,2}*1792
113-fold covers : {4,226}*1808, {452,2}*1808
114-fold covers : {24,38}*1824, {152,6}*1824, {12,76}*1824, {76,12}*1824, {4,228}*1824a, {228,4}*1824a, {456,2}*1824, {8,114}*1824
115-fold covers : {20,46}*1840, {92,10}*1840, {460,2}*1840, {4,230}*1840
116-fold covers : {8,116}*1856a, {116,8}*1856a, {4,232}*1856a, {232,4}*1856a, {8,116}*1856b, {116,8}*1856b, {4,232}*1856b, {232,4}*1856b, {4,116}*1856, {116,4}*1856, {16,58}*1856, {464,2}*1856
117-fold covers : {36,26}*1872, {52,18}*1872a, {468,2}*1872, {4,234}*1872a, {156,6}*1872a, {12,78}*1872a, {12,78}*1872b, {156,6}*1872b, {156,6}*1872c, {12,78}*1872c, {4,78}*1872, {52,6}*1872
118-fold covers : {4,236}*1888, {236,4}*1888, {8,118}*1888, {472,2}*1888
119-fold covers : {28,34}*1904, {68,14}*1904, {476,2}*1904, {4,238}*1904
120-fold covers : {8,60}*1920a, {60,8}*1920a, {4,120}*1920a, {120,4}*1920a, {12,40}*1920a, {40,12}*1920a, {20,24}*1920a, {24,20}*1920a, {8,120}*1920a, {120,8}*1920a, {8,120}*1920b, {8,120}*1920c, {120,8}*1920b, {120,8}*1920c, {24,40}*1920a, {40,24}*1920a, {24,40}*1920b, {40,24}*1920b, {24,40}*1920c, {40,24}*1920c, {8,120}*1920d, {120,8}*1920d, {24,40}*1920d, {40,24}*1920d, {16,60}*1920a, {60,16}*1920a, {4,240}*1920a, {240,4}*1920a, {12,80}*1920a, {80,12}*1920a, {20,48}*1920a, {48,20}*1920a, {16,60}*1920b, {60,16}*1920b, {4,240}*1920b, {240,4}*1920b, {12,80}*1920b, {80,12}*1920b, {20,48}*1920b, {48,20}*1920b, {4,60}*1920a, {4,120}*1920b, {60,4}*1920a, {120,4}*1920b, {8,60}*1920b, {60,8}*1920b, {12,40}*1920b, {40,12}*1920b, {20,24}*1920b, {24,20}*1920b, {12,20}*1920a, {20,12}*1920a, {32,30}*1920, {480,2}*1920, {96,10}*1920, {160,6}*1920, {12,40}*1920e, {12,40}*1920f, {60,12}*1920b, {40,6}*1920b, {60,6}*1920, {24,20}*1920c, {24,20}*1920d, {40,6}*1920d, {120,6}*1920a, {20,6}*1920b, {120,6}*1920b, {20,12}*1920b, {12,20}*1920c, {12,60}*1920c, {20,12}*1920c, {60,12}*1920c, {24,30}*1920a, {12,30}*1920, {12,60}*1920d, {24,30}*1920b, {4,60}*1920d, {60,4}*1920d, {60,8}*1920e, {60,8}*1920f, {8,30}*1920f, {120,4}*1920c, {120,4}*1920d, {8,30}*1920g, {4,60}*1920e, {4,30}*1920b, {4,12}*1920a, {4,20}*1920a, {12,4}*1920a, {12,20}*1920f, {20,4}*1920a, {20,12}*1920f, {12,12}*1920a, {12,20}*1920g, {20,12}*1920g, {20,20}*1920a, {8,10}*1920a, {24,6}*1920a, {24,10}*1920c, {8,6}*1920a, {24,4}*1920a, {40,4}*1920a, {40,6}*1920e, {24,10}*1920d, {40,6}*1920f, {40,10}*1920a, {24,4}*1920b, {40,4}*1920b, {8,10}*1920b, {12,10}*1920b, {12,6}*1920a, {12,20}*1920h, {12,12}*1920c, {4,20}*1920b, {24,6}*1920b, {4,10}*1920, {24,10}*1920e, {12,8}*1920c, {20,8}*1920b, {20,12}*1920i, {8,6}*1920b, {12,8}*1920d, {20,6}*1920c, {20,8}*1920c, {4,12}*1920b, {4,6}*1920, {40,6}*1920g, {12,10}*1920c, {20,6}*1920d, {20,10}*1920, {12,20}*1920l, {20,12}*1920l, {20,20}*1920c, {24,10}*1920f, {40,6}*1920h, {40,10}*1920b
121-fold covers : {484,2}*1936, {4,242}*1936, {44,22}*1936a, {44,22}*1936b, {44,22}*1936c, {4,22}*1936
122-fold covers : {4,244}*1952, {244,4}*1952, {8,122}*1952, {488,2}*1952
123-fold covers : {12,82}*1968, {164,6}*1968a, {492,2}*1968, {4,246}*1968a
124-fold covers : {8,124}*1984a, {124,8}*1984a, {4,248}*1984a, {248,4}*1984a, {8,124}*1984b, {124,8}*1984b, {4,248}*1984b, {248,4}*1984b, {4,124}*1984, {124,4}*1984, {16,62}*1984, {496,2}*1984
125-fold covers : {500,2}*2000, {4,250}*2000, {20,50}*2000a, {100,10}*2000a, {100,10}*2000b, {20,10}*2000a, {20,10}*2000b, {20,50}*2000b, {20,10}*2000c, {4,10}*2000a, {20,10}*2000d, {20,10}*2000e, {20,10}*2000f, {20,10}*2000g, {20,10}*2000h, {4,10}*2000b, {20,10}*2000i, {20,10}*2000j
Permutation Representation (GAP) :
s0 := (2,3);;
s1 := (1,2)(3,4);;
s2 := (5,6);;
poly := Group([s0,s1,s2]);;
Finitely Presented Group Representation (GAP) :
F := FreeGroup("s0","s1","s2");;
s0 := F.1;; s1 := F.2;; s2 := F.3;;
rels := [ s0*s0, s1*s1, s2*s2, s0*s2*s0*s2, s1*s2*s1*s2,
s0*s1*s0*s1*s0*s1*s0*s1 ];;
poly := F / rels;;
Permutation Representation (Magma) :
s0 := Sym(6)!(2,3);
s1 := Sym(6)!(1,2)(3,4);
s2 := Sym(6)!(5,6);
poly := sub<Sym(6)|s0,s1,s2>;
Finitely Presented Group Representation (Magma) :
poly<s0,s1,s2> := Group< s0,s1,s2 | s0*s0, s1*s1, s2*s2,
s0*s2*s0*s2, s1*s2*s1*s2, s0*s1*s0*s1*s0*s1*s0*s1 >;
to this polytope