Polytope of Type {4,60,4}

This page is part of the Atlas of Small Regular Polytopes
Atlas Canonical Name : {4,60,4}*1920c
if this polytope has a name.
Group : SmallGroup(1920,239398)
Rank : 4
Schlafli Type : {4,60,4}
Number of vertices, edges, etc : 4, 120, 120, 4
Order of s0s1s2s3 : 60
Order of s0s1s2s3s2s1 : 2
Special Properties :
   Universal
   Non-Orientable
   Flat
Related Polytopes :
   Facet
   Vertex Figure
   Dual
Facet Of :
   None in this Atlas
Vertex Figure Of :
   None in this Atlas
Quotients (Maximal Quotients in Boldface) :
   2-fold quotients : {2,60,4}*960c, {4,30,4}*960b
   4-fold quotients : {2,30,4}*480b
   5-fold quotients : {4,12,4}*384c
   8-fold quotients : {2,15,4}*240
   10-fold quotients : {2,12,4}*192c, {4,6,4}*192b
   20-fold quotients : {2,6,4}*96c
   40-fold quotients : {2,3,4}*48
Covers (Minimal Covers in Boldface) :
   None in this atlas.
Irregular Quotients (of which this is a minimal cover):
   None.

Permutation Representation (GAP) :
s0 := (241,361)(242,362)(243,363)(244,364)(245,365)(246,366)(247,367)(248,368)(249,369)(250,370)(251,371)(252,372)(253,373)(254,374)(255,375)(256,376)(257,377)(258,378)(259,379)(260,380)(261,381)(262,382)(263,383)(264,384)(265,385)(266,386)(267,387)(268,388)(269,389)(270,390)(271,391)(272,392)(273,393)(274,394)(275,395)(276,396)(277,397)(278,398)(279,399)(280,400)(281,401)(282,402)(283,403)(284,404)(285,405)(286,406)(287,407)(288,408)(289,409)(290,410)(291,411)(292,412)(293,413)(294,414)(295,415)(296,416)(297,417)(298,418)(299,419)(300,420)(301,421)(302,422)(303,423)(304,424)(305,425)(306,426)(307,427)(308,428)(309,429)(310,430)(311,431)(312,432)(313,433)(314,434)(315,435)(316,436)(317,437)(318,438)(319,439)(320,440)(321,441)(322,442)(323,443)(324,444)(325,445)(326,446)(327,447)(328,448)(329,449)(330,450)(331,451)(332,452)(333,453)(334,454)(335,455)(336,456)(337,457)(338,458)(339,459)(340,460)(341,461)(342,462)(343,463)(344,464)(345,465)(346,466)(347,467)(348,468)(349,469)(350,470)(351,471)(352,472)(353,473)(354,474)(355,475)(356,476)(357,477)(358,478)(359,479)(360,480);;
s1 := (  1,241)(  2,242)(  3,244)(  4,243)(  5,257)(  6,258)(  7,260)(  8,259)(  9,253)( 10,254)( 11,256)( 12,255)( 13,249)( 14,250)( 15,252)( 16,251)( 17,245)( 18,246)( 19,248)( 20,247)( 21,281)( 22,282)( 23,284)( 24,283)( 25,297)( 26,298)( 27,300)( 28,299)( 29,293)( 30,294)( 31,296)( 32,295)( 33,289)( 34,290)( 35,292)( 36,291)( 37,285)( 38,286)( 39,288)( 40,287)( 41,261)( 42,262)( 43,264)( 44,263)( 45,277)( 46,278)( 47,280)( 48,279)( 49,273)( 50,274)( 51,276)( 52,275)( 53,269)( 54,270)( 55,272)( 56,271)( 57,265)( 58,266)( 59,268)( 60,267)( 61,301)( 62,302)( 63,304)( 64,303)( 65,317)( 66,318)( 67,320)( 68,319)( 69,313)( 70,314)( 71,316)( 72,315)( 73,309)( 74,310)( 75,312)( 76,311)( 77,305)( 78,306)( 79,308)( 80,307)( 81,341)( 82,342)( 83,344)( 84,343)( 85,357)( 86,358)( 87,360)( 88,359)( 89,353)( 90,354)( 91,356)( 92,355)( 93,349)( 94,350)( 95,352)( 96,351)( 97,345)( 98,346)( 99,348)(100,347)(101,321)(102,322)(103,324)(104,323)(105,337)(106,338)(107,340)(108,339)(109,333)(110,334)(111,336)(112,335)(113,329)(114,330)(115,332)(116,331)(117,325)(118,326)(119,328)(120,327)(121,361)(122,362)(123,364)(124,363)(125,377)(126,378)(127,380)(128,379)(129,373)(130,374)(131,376)(132,375)(133,369)(134,370)(135,372)(136,371)(137,365)(138,366)(139,368)(140,367)(141,401)(142,402)(143,404)(144,403)(145,417)(146,418)(147,420)(148,419)(149,413)(150,414)(151,416)(152,415)(153,409)(154,410)(155,412)(156,411)(157,405)(158,406)(159,408)(160,407)(161,381)(162,382)(163,384)(164,383)(165,397)(166,398)(167,400)(168,399)(169,393)(170,394)(171,396)(172,395)(173,389)(174,390)(175,392)(176,391)(177,385)(178,386)(179,388)(180,387)(181,421)(182,422)(183,424)(184,423)(185,437)(186,438)(187,440)(188,439)(189,433)(190,434)(191,436)(192,435)(193,429)(194,430)(195,432)(196,431)(197,425)(198,426)(199,428)(200,427)(201,461)(202,462)(203,464)(204,463)(205,477)(206,478)(207,480)(208,479)(209,473)(210,474)(211,476)(212,475)(213,469)(214,470)(215,472)(216,471)(217,465)(218,466)(219,468)(220,467)(221,441)(222,442)(223,444)(224,443)(225,457)(226,458)(227,460)(228,459)(229,453)(230,454)(231,456)(232,455)(233,449)(234,450)(235,452)(236,451)(237,445)(238,446)(239,448)(240,447);;
s2 := (  1, 25)(  2, 28)(  3, 27)(  4, 26)(  5, 21)(  6, 24)(  7, 23)(  8, 22)(  9, 37)( 10, 40)( 11, 39)( 12, 38)( 13, 33)( 14, 36)( 15, 35)( 16, 34)( 17, 29)( 18, 32)( 19, 31)( 20, 30)( 41, 45)( 42, 48)( 43, 47)( 44, 46)( 49, 57)( 50, 60)( 51, 59)( 52, 58)( 54, 56)( 61, 85)( 62, 88)( 63, 87)( 64, 86)( 65, 81)( 66, 84)( 67, 83)( 68, 82)( 69, 97)( 70,100)( 71, 99)( 72, 98)( 73, 93)( 74, 96)( 75, 95)( 76, 94)( 77, 89)( 78, 92)( 79, 91)( 80, 90)(101,105)(102,108)(103,107)(104,106)(109,117)(110,120)(111,119)(112,118)(114,116)(121,145)(122,148)(123,147)(124,146)(125,141)(126,144)(127,143)(128,142)(129,157)(130,160)(131,159)(132,158)(133,153)(134,156)(135,155)(136,154)(137,149)(138,152)(139,151)(140,150)(161,165)(162,168)(163,167)(164,166)(169,177)(170,180)(171,179)(172,178)(174,176)(181,205)(182,208)(183,207)(184,206)(185,201)(186,204)(187,203)(188,202)(189,217)(190,220)(191,219)(192,218)(193,213)(194,216)(195,215)(196,214)(197,209)(198,212)(199,211)(200,210)(221,225)(222,228)(223,227)(224,226)(229,237)(230,240)(231,239)(232,238)(234,236)(241,325)(242,328)(243,327)(244,326)(245,321)(246,324)(247,323)(248,322)(249,337)(250,340)(251,339)(252,338)(253,333)(254,336)(255,335)(256,334)(257,329)(258,332)(259,331)(260,330)(261,305)(262,308)(263,307)(264,306)(265,301)(266,304)(267,303)(268,302)(269,317)(270,320)(271,319)(272,318)(273,313)(274,316)(275,315)(276,314)(277,309)(278,312)(279,311)(280,310)(281,345)(282,348)(283,347)(284,346)(285,341)(286,344)(287,343)(288,342)(289,357)(290,360)(291,359)(292,358)(293,353)(294,356)(295,355)(296,354)(297,349)(298,352)(299,351)(300,350)(361,445)(362,448)(363,447)(364,446)(365,441)(366,444)(367,443)(368,442)(369,457)(370,460)(371,459)(372,458)(373,453)(374,456)(375,455)(376,454)(377,449)(378,452)(379,451)(380,450)(381,425)(382,428)(383,427)(384,426)(385,421)(386,424)(387,423)(388,422)(389,437)(390,440)(391,439)(392,438)(393,433)(394,436)(395,435)(396,434)(397,429)(398,432)(399,431)(400,430)(401,465)(402,468)(403,467)(404,466)(405,461)(406,464)(407,463)(408,462)(409,477)(410,480)(411,479)(412,478)(413,473)(414,476)(415,475)(416,474)(417,469)(418,472)(419,471)(420,470);;
s3 := (  1, 62)(  2, 61)(  3, 64)(  4, 63)(  5, 66)(  6, 65)(  7, 68)(  8, 67)(  9, 70)( 10, 69)( 11, 72)( 12, 71)( 13, 74)( 14, 73)( 15, 76)( 16, 75)( 17, 78)( 18, 77)( 19, 80)( 20, 79)( 21, 82)( 22, 81)( 23, 84)( 24, 83)( 25, 86)( 26, 85)( 27, 88)( 28, 87)( 29, 90)( 30, 89)( 31, 92)( 32, 91)( 33, 94)( 34, 93)( 35, 96)( 36, 95)( 37, 98)( 38, 97)( 39,100)( 40, 99)( 41,102)( 42,101)( 43,104)( 44,103)( 45,106)( 46,105)( 47,108)( 48,107)( 49,110)( 50,109)( 51,112)( 52,111)( 53,114)( 54,113)( 55,116)( 56,115)( 57,118)( 58,117)( 59,120)( 60,119)(121,182)(122,181)(123,184)(124,183)(125,186)(126,185)(127,188)(128,187)(129,190)(130,189)(131,192)(132,191)(133,194)(134,193)(135,196)(136,195)(137,198)(138,197)(139,200)(140,199)(141,202)(142,201)(143,204)(144,203)(145,206)(146,205)(147,208)(148,207)(149,210)(150,209)(151,212)(152,211)(153,214)(154,213)(155,216)(156,215)(157,218)(158,217)(159,220)(160,219)(161,222)(162,221)(163,224)(164,223)(165,226)(166,225)(167,228)(168,227)(169,230)(170,229)(171,232)(172,231)(173,234)(174,233)(175,236)(176,235)(177,238)(178,237)(179,240)(180,239)(241,302)(242,301)(243,304)(244,303)(245,306)(246,305)(247,308)(248,307)(249,310)(250,309)(251,312)(252,311)(253,314)(254,313)(255,316)(256,315)(257,318)(258,317)(259,320)(260,319)(261,322)(262,321)(263,324)(264,323)(265,326)(266,325)(267,328)(268,327)(269,330)(270,329)(271,332)(272,331)(273,334)(274,333)(275,336)(276,335)(277,338)(278,337)(279,340)(280,339)(281,342)(282,341)(283,344)(284,343)(285,346)(286,345)(287,348)(288,347)(289,350)(290,349)(291,352)(292,351)(293,354)(294,353)(295,356)(296,355)(297,358)(298,357)(299,360)(300,359)(361,422)(362,421)(363,424)(364,423)(365,426)(366,425)(367,428)(368,427)(369,430)(370,429)(371,432)(372,431)(373,434)(374,433)(375,436)(376,435)(377,438)(378,437)(379,440)(380,439)(381,442)(382,441)(383,444)(384,443)(385,446)(386,445)(387,448)(388,447)(389,450)(390,449)(391,452)(392,451)(393,454)(394,453)(395,456)(396,455)(397,458)(398,457)(399,460)(400,459)(401,462)(402,461)(403,464)(404,463)(405,466)(406,465)(407,468)(408,467)(409,470)(410,469)(411,472)(412,471)(413,474)(414,473)(415,476)(416,475)(417,478)(418,477)(419,480)(420,479);;
poly := Group([s0,s1,s2,s3]);;
 
Finitely Presented Group Representation (GAP) :
F := FreeGroup("s0","s1","s2","s3");;
s0 := F.1;;  s1 := F.2;;  s2 := F.3;;  s3 := F.4;;  
rels := [ s0*s0, s1*s1, s2*s2, s3*s3, s0*s2*s0*s2, 
s0*s3*s0*s3, s1*s3*s1*s3, s0*s1*s0*s1*s0*s1*s0*s1, 
s0*s1*s2*s1*s0*s1*s2*s1, s2*s3*s2*s3*s2*s3*s2*s3, 
s1*s2*s1*s2*s3*s2*s1*s2*s1*s2*s3*s2, 
s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s3*s2*s1*s3*s2*s3 ];;
poly := F / rels;;
 
Permutation Representation (Magma) :
s0 := Sym(480)!(241,361)(242,362)(243,363)(244,364)(245,365)(246,366)(247,367)(248,368)(249,369)(250,370)(251,371)(252,372)(253,373)(254,374)(255,375)(256,376)(257,377)(258,378)(259,379)(260,380)(261,381)(262,382)(263,383)(264,384)(265,385)(266,386)(267,387)(268,388)(269,389)(270,390)(271,391)(272,392)(273,393)(274,394)(275,395)(276,396)(277,397)(278,398)(279,399)(280,400)(281,401)(282,402)(283,403)(284,404)(285,405)(286,406)(287,407)(288,408)(289,409)(290,410)(291,411)(292,412)(293,413)(294,414)(295,415)(296,416)(297,417)(298,418)(299,419)(300,420)(301,421)(302,422)(303,423)(304,424)(305,425)(306,426)(307,427)(308,428)(309,429)(310,430)(311,431)(312,432)(313,433)(314,434)(315,435)(316,436)(317,437)(318,438)(319,439)(320,440)(321,441)(322,442)(323,443)(324,444)(325,445)(326,446)(327,447)(328,448)(329,449)(330,450)(331,451)(332,452)(333,453)(334,454)(335,455)(336,456)(337,457)(338,458)(339,459)(340,460)(341,461)(342,462)(343,463)(344,464)(345,465)(346,466)(347,467)(348,468)(349,469)(350,470)(351,471)(352,472)(353,473)(354,474)(355,475)(356,476)(357,477)(358,478)(359,479)(360,480);
s1 := Sym(480)!(  1,241)(  2,242)(  3,244)(  4,243)(  5,257)(  6,258)(  7,260)(  8,259)(  9,253)( 10,254)( 11,256)( 12,255)( 13,249)( 14,250)( 15,252)( 16,251)( 17,245)( 18,246)( 19,248)( 20,247)( 21,281)( 22,282)( 23,284)( 24,283)( 25,297)( 26,298)( 27,300)( 28,299)( 29,293)( 30,294)( 31,296)( 32,295)( 33,289)( 34,290)( 35,292)( 36,291)( 37,285)( 38,286)( 39,288)( 40,287)( 41,261)( 42,262)( 43,264)( 44,263)( 45,277)( 46,278)( 47,280)( 48,279)( 49,273)( 50,274)( 51,276)( 52,275)( 53,269)( 54,270)( 55,272)( 56,271)( 57,265)( 58,266)( 59,268)( 60,267)( 61,301)( 62,302)( 63,304)( 64,303)( 65,317)( 66,318)( 67,320)( 68,319)( 69,313)( 70,314)( 71,316)( 72,315)( 73,309)( 74,310)( 75,312)( 76,311)( 77,305)( 78,306)( 79,308)( 80,307)( 81,341)( 82,342)( 83,344)( 84,343)( 85,357)( 86,358)( 87,360)( 88,359)( 89,353)( 90,354)( 91,356)( 92,355)( 93,349)( 94,350)( 95,352)( 96,351)( 97,345)( 98,346)( 99,348)(100,347)(101,321)(102,322)(103,324)(104,323)(105,337)(106,338)(107,340)(108,339)(109,333)(110,334)(111,336)(112,335)(113,329)(114,330)(115,332)(116,331)(117,325)(118,326)(119,328)(120,327)(121,361)(122,362)(123,364)(124,363)(125,377)(126,378)(127,380)(128,379)(129,373)(130,374)(131,376)(132,375)(133,369)(134,370)(135,372)(136,371)(137,365)(138,366)(139,368)(140,367)(141,401)(142,402)(143,404)(144,403)(145,417)(146,418)(147,420)(148,419)(149,413)(150,414)(151,416)(152,415)(153,409)(154,410)(155,412)(156,411)(157,405)(158,406)(159,408)(160,407)(161,381)(162,382)(163,384)(164,383)(165,397)(166,398)(167,400)(168,399)(169,393)(170,394)(171,396)(172,395)(173,389)(174,390)(175,392)(176,391)(177,385)(178,386)(179,388)(180,387)(181,421)(182,422)(183,424)(184,423)(185,437)(186,438)(187,440)(188,439)(189,433)(190,434)(191,436)(192,435)(193,429)(194,430)(195,432)(196,431)(197,425)(198,426)(199,428)(200,427)(201,461)(202,462)(203,464)(204,463)(205,477)(206,478)(207,480)(208,479)(209,473)(210,474)(211,476)(212,475)(213,469)(214,470)(215,472)(216,471)(217,465)(218,466)(219,468)(220,467)(221,441)(222,442)(223,444)(224,443)(225,457)(226,458)(227,460)(228,459)(229,453)(230,454)(231,456)(232,455)(233,449)(234,450)(235,452)(236,451)(237,445)(238,446)(239,448)(240,447);
s2 := Sym(480)!(  1, 25)(  2, 28)(  3, 27)(  4, 26)(  5, 21)(  6, 24)(  7, 23)(  8, 22)(  9, 37)( 10, 40)( 11, 39)( 12, 38)( 13, 33)( 14, 36)( 15, 35)( 16, 34)( 17, 29)( 18, 32)( 19, 31)( 20, 30)( 41, 45)( 42, 48)( 43, 47)( 44, 46)( 49, 57)( 50, 60)( 51, 59)( 52, 58)( 54, 56)( 61, 85)( 62, 88)( 63, 87)( 64, 86)( 65, 81)( 66, 84)( 67, 83)( 68, 82)( 69, 97)( 70,100)( 71, 99)( 72, 98)( 73, 93)( 74, 96)( 75, 95)( 76, 94)( 77, 89)( 78, 92)( 79, 91)( 80, 90)(101,105)(102,108)(103,107)(104,106)(109,117)(110,120)(111,119)(112,118)(114,116)(121,145)(122,148)(123,147)(124,146)(125,141)(126,144)(127,143)(128,142)(129,157)(130,160)(131,159)(132,158)(133,153)(134,156)(135,155)(136,154)(137,149)(138,152)(139,151)(140,150)(161,165)(162,168)(163,167)(164,166)(169,177)(170,180)(171,179)(172,178)(174,176)(181,205)(182,208)(183,207)(184,206)(185,201)(186,204)(187,203)(188,202)(189,217)(190,220)(191,219)(192,218)(193,213)(194,216)(195,215)(196,214)(197,209)(198,212)(199,211)(200,210)(221,225)(222,228)(223,227)(224,226)(229,237)(230,240)(231,239)(232,238)(234,236)(241,325)(242,328)(243,327)(244,326)(245,321)(246,324)(247,323)(248,322)(249,337)(250,340)(251,339)(252,338)(253,333)(254,336)(255,335)(256,334)(257,329)(258,332)(259,331)(260,330)(261,305)(262,308)(263,307)(264,306)(265,301)(266,304)(267,303)(268,302)(269,317)(270,320)(271,319)(272,318)(273,313)(274,316)(275,315)(276,314)(277,309)(278,312)(279,311)(280,310)(281,345)(282,348)(283,347)(284,346)(285,341)(286,344)(287,343)(288,342)(289,357)(290,360)(291,359)(292,358)(293,353)(294,356)(295,355)(296,354)(297,349)(298,352)(299,351)(300,350)(361,445)(362,448)(363,447)(364,446)(365,441)(366,444)(367,443)(368,442)(369,457)(370,460)(371,459)(372,458)(373,453)(374,456)(375,455)(376,454)(377,449)(378,452)(379,451)(380,450)(381,425)(382,428)(383,427)(384,426)(385,421)(386,424)(387,423)(388,422)(389,437)(390,440)(391,439)(392,438)(393,433)(394,436)(395,435)(396,434)(397,429)(398,432)(399,431)(400,430)(401,465)(402,468)(403,467)(404,466)(405,461)(406,464)(407,463)(408,462)(409,477)(410,480)(411,479)(412,478)(413,473)(414,476)(415,475)(416,474)(417,469)(418,472)(419,471)(420,470);
s3 := Sym(480)!(  1, 62)(  2, 61)(  3, 64)(  4, 63)(  5, 66)(  6, 65)(  7, 68)(  8, 67)(  9, 70)( 10, 69)( 11, 72)( 12, 71)( 13, 74)( 14, 73)( 15, 76)( 16, 75)( 17, 78)( 18, 77)( 19, 80)( 20, 79)( 21, 82)( 22, 81)( 23, 84)( 24, 83)( 25, 86)( 26, 85)( 27, 88)( 28, 87)( 29, 90)( 30, 89)( 31, 92)( 32, 91)( 33, 94)( 34, 93)( 35, 96)( 36, 95)( 37, 98)( 38, 97)( 39,100)( 40, 99)( 41,102)( 42,101)( 43,104)( 44,103)( 45,106)( 46,105)( 47,108)( 48,107)( 49,110)( 50,109)( 51,112)( 52,111)( 53,114)( 54,113)( 55,116)( 56,115)( 57,118)( 58,117)( 59,120)( 60,119)(121,182)(122,181)(123,184)(124,183)(125,186)(126,185)(127,188)(128,187)(129,190)(130,189)(131,192)(132,191)(133,194)(134,193)(135,196)(136,195)(137,198)(138,197)(139,200)(140,199)(141,202)(142,201)(143,204)(144,203)(145,206)(146,205)(147,208)(148,207)(149,210)(150,209)(151,212)(152,211)(153,214)(154,213)(155,216)(156,215)(157,218)(158,217)(159,220)(160,219)(161,222)(162,221)(163,224)(164,223)(165,226)(166,225)(167,228)(168,227)(169,230)(170,229)(171,232)(172,231)(173,234)(174,233)(175,236)(176,235)(177,238)(178,237)(179,240)(180,239)(241,302)(242,301)(243,304)(244,303)(245,306)(246,305)(247,308)(248,307)(249,310)(250,309)(251,312)(252,311)(253,314)(254,313)(255,316)(256,315)(257,318)(258,317)(259,320)(260,319)(261,322)(262,321)(263,324)(264,323)(265,326)(266,325)(267,328)(268,327)(269,330)(270,329)(271,332)(272,331)(273,334)(274,333)(275,336)(276,335)(277,338)(278,337)(279,340)(280,339)(281,342)(282,341)(283,344)(284,343)(285,346)(286,345)(287,348)(288,347)(289,350)(290,349)(291,352)(292,351)(293,354)(294,353)(295,356)(296,355)(297,358)(298,357)(299,360)(300,359)(361,422)(362,421)(363,424)(364,423)(365,426)(366,425)(367,428)(368,427)(369,430)(370,429)(371,432)(372,431)(373,434)(374,433)(375,436)(376,435)(377,438)(378,437)(379,440)(380,439)(381,442)(382,441)(383,444)(384,443)(385,446)(386,445)(387,448)(388,447)(389,450)(390,449)(391,452)(392,451)(393,454)(394,453)(395,456)(396,455)(397,458)(398,457)(399,460)(400,459)(401,462)(402,461)(403,464)(404,463)(405,466)(406,465)(407,468)(408,467)(409,470)(410,469)(411,472)(412,471)(413,474)(414,473)(415,476)(416,475)(417,478)(418,477)(419,480)(420,479);
poly := sub<Sym(480)|s0,s1,s2,s3>;
 
Finitely Presented Group Representation (Magma) :
poly<s0,s1,s2,s3> := Group< s0,s1,s2,s3 | s0*s0, s1*s1, s2*s2, 
s3*s3, s0*s2*s0*s2, s0*s3*s0*s3, s1*s3*s1*s3, 
s0*s1*s0*s1*s0*s1*s0*s1, s0*s1*s2*s1*s0*s1*s2*s1, 
s2*s3*s2*s3*s2*s3*s2*s3, s1*s2*s1*s2*s3*s2*s1*s2*s1*s2*s3*s2, 
s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s3*s2*s1*s3*s2*s3 >; 
 
References : None.
to this polytope