Polytope of Type {132,4}
This page is part of the Atlas of Small Regular Polytopes
Atlas Canonical Name : {132,4}*1056b
if this polytope has a name.
Group : SmallGroup(1056,882)
Rank : 3
Schlafli Type : {132,4}
Number of vertices, edges, etc : 132, 264, 4
Order of s0s1s2 : 132
Order of s0s1s2s1 : 4
Special Properties :
Compact Hyperbolic Quotient
Locally Spherical
Non-Orientable
Flat
Self-Petrie
Related Polytopes :
Facet
Vertex Figure
Dual
Petrial
Skewing Operation
Facet Of :
None in this Atlas
Vertex Figure Of :
None in this Atlas
Quotients (Maximal Quotients in Boldface) :
2-fold quotients : {66,4}*528b
4-fold quotients : {33,4}*264
11-fold quotients : {12,4}*96b
22-fold quotients : {6,4}*48c
44-fold quotients : {3,4}*24
Covers (Minimal Covers in Boldface) :
None in this atlas.
Permutation Representation (GAP) :
s0 := ( 3, 4)( 5, 41)( 6, 42)( 7, 44)( 8, 43)( 9, 37)( 10, 38)( 11, 40)
( 12, 39)( 13, 33)( 14, 34)( 15, 36)( 16, 35)( 17, 29)( 18, 30)( 19, 32)
( 20, 31)( 21, 25)( 22, 26)( 23, 28)( 24, 27)( 45, 89)( 46, 90)( 47, 92)
( 48, 91)( 49,129)( 50,130)( 51,132)( 52,131)( 53,125)( 54,126)( 55,128)
( 56,127)( 57,121)( 58,122)( 59,124)( 60,123)( 61,117)( 62,118)( 63,120)
( 64,119)( 65,113)( 66,114)( 67,116)( 68,115)( 69,109)( 70,110)( 71,112)
( 72,111)( 73,105)( 74,106)( 75,108)( 76,107)( 77,101)( 78,102)( 79,104)
( 80,103)( 81, 97)( 82, 98)( 83,100)( 84, 99)( 85, 93)( 86, 94)( 87, 96)
( 88, 95)(135,136)(137,173)(138,174)(139,176)(140,175)(141,169)(142,170)
(143,172)(144,171)(145,165)(146,166)(147,168)(148,167)(149,161)(150,162)
(151,164)(152,163)(153,157)(154,158)(155,160)(156,159)(177,221)(178,222)
(179,224)(180,223)(181,261)(182,262)(183,264)(184,263)(185,257)(186,258)
(187,260)(188,259)(189,253)(190,254)(191,256)(192,255)(193,249)(194,250)
(195,252)(196,251)(197,245)(198,246)(199,248)(200,247)(201,241)(202,242)
(203,244)(204,243)(205,237)(206,238)(207,240)(208,239)(209,233)(210,234)
(211,236)(212,235)(213,229)(214,230)(215,232)(216,231)(217,225)(218,226)
(219,228)(220,227)(265,397)(266,398)(267,400)(268,399)(269,437)(270,438)
(271,440)(272,439)(273,433)(274,434)(275,436)(276,435)(277,429)(278,430)
(279,432)(280,431)(281,425)(282,426)(283,428)(284,427)(285,421)(286,422)
(287,424)(288,423)(289,417)(290,418)(291,420)(292,419)(293,413)(294,414)
(295,416)(296,415)(297,409)(298,410)(299,412)(300,411)(301,405)(302,406)
(303,408)(304,407)(305,401)(306,402)(307,404)(308,403)(309,485)(310,486)
(311,488)(312,487)(313,525)(314,526)(315,528)(316,527)(317,521)(318,522)
(319,524)(320,523)(321,517)(322,518)(323,520)(324,519)(325,513)(326,514)
(327,516)(328,515)(329,509)(330,510)(331,512)(332,511)(333,505)(334,506)
(335,508)(336,507)(337,501)(338,502)(339,504)(340,503)(341,497)(342,498)
(343,500)(344,499)(345,493)(346,494)(347,496)(348,495)(349,489)(350,490)
(351,492)(352,491)(353,441)(354,442)(355,444)(356,443)(357,481)(358,482)
(359,484)(360,483)(361,477)(362,478)(363,480)(364,479)(365,473)(366,474)
(367,476)(368,475)(369,469)(370,470)(371,472)(372,471)(373,465)(374,466)
(375,468)(376,467)(377,461)(378,462)(379,464)(380,463)(381,457)(382,458)
(383,460)(384,459)(385,453)(386,454)(387,456)(388,455)(389,449)(390,450)
(391,452)(392,451)(393,445)(394,446)(395,448)(396,447);;
s1 := ( 1,313)( 2,316)( 3,315)( 4,314)( 5,309)( 6,312)( 7,311)( 8,310)
( 9,349)( 10,352)( 11,351)( 12,350)( 13,345)( 14,348)( 15,347)( 16,346)
( 17,341)( 18,344)( 19,343)( 20,342)( 21,337)( 22,340)( 23,339)( 24,338)
( 25,333)( 26,336)( 27,335)( 28,334)( 29,329)( 30,332)( 31,331)( 32,330)
( 33,325)( 34,328)( 35,327)( 36,326)( 37,321)( 38,324)( 39,323)( 40,322)
( 41,317)( 42,320)( 43,319)( 44,318)( 45,269)( 46,272)( 47,271)( 48,270)
( 49,265)( 50,268)( 51,267)( 52,266)( 53,305)( 54,308)( 55,307)( 56,306)
( 57,301)( 58,304)( 59,303)( 60,302)( 61,297)( 62,300)( 63,299)( 64,298)
( 65,293)( 66,296)( 67,295)( 68,294)( 69,289)( 70,292)( 71,291)( 72,290)
( 73,285)( 74,288)( 75,287)( 76,286)( 77,281)( 78,284)( 79,283)( 80,282)
( 81,277)( 82,280)( 83,279)( 84,278)( 85,273)( 86,276)( 87,275)( 88,274)
( 89,357)( 90,360)( 91,359)( 92,358)( 93,353)( 94,356)( 95,355)( 96,354)
( 97,393)( 98,396)( 99,395)(100,394)(101,389)(102,392)(103,391)(104,390)
(105,385)(106,388)(107,387)(108,386)(109,381)(110,384)(111,383)(112,382)
(113,377)(114,380)(115,379)(116,378)(117,373)(118,376)(119,375)(120,374)
(121,369)(122,372)(123,371)(124,370)(125,365)(126,368)(127,367)(128,366)
(129,361)(130,364)(131,363)(132,362)(133,445)(134,448)(135,447)(136,446)
(137,441)(138,444)(139,443)(140,442)(141,481)(142,484)(143,483)(144,482)
(145,477)(146,480)(147,479)(148,478)(149,473)(150,476)(151,475)(152,474)
(153,469)(154,472)(155,471)(156,470)(157,465)(158,468)(159,467)(160,466)
(161,461)(162,464)(163,463)(164,462)(165,457)(166,460)(167,459)(168,458)
(169,453)(170,456)(171,455)(172,454)(173,449)(174,452)(175,451)(176,450)
(177,401)(178,404)(179,403)(180,402)(181,397)(182,400)(183,399)(184,398)
(185,437)(186,440)(187,439)(188,438)(189,433)(190,436)(191,435)(192,434)
(193,429)(194,432)(195,431)(196,430)(197,425)(198,428)(199,427)(200,426)
(201,421)(202,424)(203,423)(204,422)(205,417)(206,420)(207,419)(208,418)
(209,413)(210,416)(211,415)(212,414)(213,409)(214,412)(215,411)(216,410)
(217,405)(218,408)(219,407)(220,406)(221,489)(222,492)(223,491)(224,490)
(225,485)(226,488)(227,487)(228,486)(229,525)(230,528)(231,527)(232,526)
(233,521)(234,524)(235,523)(236,522)(237,517)(238,520)(239,519)(240,518)
(241,513)(242,516)(243,515)(244,514)(245,509)(246,512)(247,511)(248,510)
(249,505)(250,508)(251,507)(252,506)(253,501)(254,504)(255,503)(256,502)
(257,497)(258,500)(259,499)(260,498)(261,493)(262,496)(263,495)(264,494);;
s2 := ( 1, 2)( 3, 4)( 5, 6)( 7, 8)( 9, 10)( 11, 12)( 13, 14)( 15, 16)
( 17, 18)( 19, 20)( 21, 22)( 23, 24)( 25, 26)( 27, 28)( 29, 30)( 31, 32)
( 33, 34)( 35, 36)( 37, 38)( 39, 40)( 41, 42)( 43, 44)( 45, 46)( 47, 48)
( 49, 50)( 51, 52)( 53, 54)( 55, 56)( 57, 58)( 59, 60)( 61, 62)( 63, 64)
( 65, 66)( 67, 68)( 69, 70)( 71, 72)( 73, 74)( 75, 76)( 77, 78)( 79, 80)
( 81, 82)( 83, 84)( 85, 86)( 87, 88)( 89, 90)( 91, 92)( 93, 94)( 95, 96)
( 97, 98)( 99,100)(101,102)(103,104)(105,106)(107,108)(109,110)(111,112)
(113,114)(115,116)(117,118)(119,120)(121,122)(123,124)(125,126)(127,128)
(129,130)(131,132)(133,134)(135,136)(137,138)(139,140)(141,142)(143,144)
(145,146)(147,148)(149,150)(151,152)(153,154)(155,156)(157,158)(159,160)
(161,162)(163,164)(165,166)(167,168)(169,170)(171,172)(173,174)(175,176)
(177,178)(179,180)(181,182)(183,184)(185,186)(187,188)(189,190)(191,192)
(193,194)(195,196)(197,198)(199,200)(201,202)(203,204)(205,206)(207,208)
(209,210)(211,212)(213,214)(215,216)(217,218)(219,220)(221,222)(223,224)
(225,226)(227,228)(229,230)(231,232)(233,234)(235,236)(237,238)(239,240)
(241,242)(243,244)(245,246)(247,248)(249,250)(251,252)(253,254)(255,256)
(257,258)(259,260)(261,262)(263,264)(265,266)(267,268)(269,270)(271,272)
(273,274)(275,276)(277,278)(279,280)(281,282)(283,284)(285,286)(287,288)
(289,290)(291,292)(293,294)(295,296)(297,298)(299,300)(301,302)(303,304)
(305,306)(307,308)(309,310)(311,312)(313,314)(315,316)(317,318)(319,320)
(321,322)(323,324)(325,326)(327,328)(329,330)(331,332)(333,334)(335,336)
(337,338)(339,340)(341,342)(343,344)(345,346)(347,348)(349,350)(351,352)
(353,354)(355,356)(357,358)(359,360)(361,362)(363,364)(365,366)(367,368)
(369,370)(371,372)(373,374)(375,376)(377,378)(379,380)(381,382)(383,384)
(385,386)(387,388)(389,390)(391,392)(393,394)(395,396)(397,398)(399,400)
(401,402)(403,404)(405,406)(407,408)(409,410)(411,412)(413,414)(415,416)
(417,418)(419,420)(421,422)(423,424)(425,426)(427,428)(429,430)(431,432)
(433,434)(435,436)(437,438)(439,440)(441,442)(443,444)(445,446)(447,448)
(449,450)(451,452)(453,454)(455,456)(457,458)(459,460)(461,462)(463,464)
(465,466)(467,468)(469,470)(471,472)(473,474)(475,476)(477,478)(479,480)
(481,482)(483,484)(485,486)(487,488)(489,490)(491,492)(493,494)(495,496)
(497,498)(499,500)(501,502)(503,504)(505,506)(507,508)(509,510)(511,512)
(513,514)(515,516)(517,518)(519,520)(521,522)(523,524)(525,526)(527,528);;
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*s1*s2*s1*s2,
s2*s1*s0*s2*s1*s2*s1*s0*s1, s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1 ];;
poly := F / rels;;
Permutation Representation (Magma) :
s0 := Sym(528)!( 3, 4)( 5, 41)( 6, 42)( 7, 44)( 8, 43)( 9, 37)( 10, 38)
( 11, 40)( 12, 39)( 13, 33)( 14, 34)( 15, 36)( 16, 35)( 17, 29)( 18, 30)
( 19, 32)( 20, 31)( 21, 25)( 22, 26)( 23, 28)( 24, 27)( 45, 89)( 46, 90)
( 47, 92)( 48, 91)( 49,129)( 50,130)( 51,132)( 52,131)( 53,125)( 54,126)
( 55,128)( 56,127)( 57,121)( 58,122)( 59,124)( 60,123)( 61,117)( 62,118)
( 63,120)( 64,119)( 65,113)( 66,114)( 67,116)( 68,115)( 69,109)( 70,110)
( 71,112)( 72,111)( 73,105)( 74,106)( 75,108)( 76,107)( 77,101)( 78,102)
( 79,104)( 80,103)( 81, 97)( 82, 98)( 83,100)( 84, 99)( 85, 93)( 86, 94)
( 87, 96)( 88, 95)(135,136)(137,173)(138,174)(139,176)(140,175)(141,169)
(142,170)(143,172)(144,171)(145,165)(146,166)(147,168)(148,167)(149,161)
(150,162)(151,164)(152,163)(153,157)(154,158)(155,160)(156,159)(177,221)
(178,222)(179,224)(180,223)(181,261)(182,262)(183,264)(184,263)(185,257)
(186,258)(187,260)(188,259)(189,253)(190,254)(191,256)(192,255)(193,249)
(194,250)(195,252)(196,251)(197,245)(198,246)(199,248)(200,247)(201,241)
(202,242)(203,244)(204,243)(205,237)(206,238)(207,240)(208,239)(209,233)
(210,234)(211,236)(212,235)(213,229)(214,230)(215,232)(216,231)(217,225)
(218,226)(219,228)(220,227)(265,397)(266,398)(267,400)(268,399)(269,437)
(270,438)(271,440)(272,439)(273,433)(274,434)(275,436)(276,435)(277,429)
(278,430)(279,432)(280,431)(281,425)(282,426)(283,428)(284,427)(285,421)
(286,422)(287,424)(288,423)(289,417)(290,418)(291,420)(292,419)(293,413)
(294,414)(295,416)(296,415)(297,409)(298,410)(299,412)(300,411)(301,405)
(302,406)(303,408)(304,407)(305,401)(306,402)(307,404)(308,403)(309,485)
(310,486)(311,488)(312,487)(313,525)(314,526)(315,528)(316,527)(317,521)
(318,522)(319,524)(320,523)(321,517)(322,518)(323,520)(324,519)(325,513)
(326,514)(327,516)(328,515)(329,509)(330,510)(331,512)(332,511)(333,505)
(334,506)(335,508)(336,507)(337,501)(338,502)(339,504)(340,503)(341,497)
(342,498)(343,500)(344,499)(345,493)(346,494)(347,496)(348,495)(349,489)
(350,490)(351,492)(352,491)(353,441)(354,442)(355,444)(356,443)(357,481)
(358,482)(359,484)(360,483)(361,477)(362,478)(363,480)(364,479)(365,473)
(366,474)(367,476)(368,475)(369,469)(370,470)(371,472)(372,471)(373,465)
(374,466)(375,468)(376,467)(377,461)(378,462)(379,464)(380,463)(381,457)
(382,458)(383,460)(384,459)(385,453)(386,454)(387,456)(388,455)(389,449)
(390,450)(391,452)(392,451)(393,445)(394,446)(395,448)(396,447);
s1 := Sym(528)!( 1,313)( 2,316)( 3,315)( 4,314)( 5,309)( 6,312)( 7,311)
( 8,310)( 9,349)( 10,352)( 11,351)( 12,350)( 13,345)( 14,348)( 15,347)
( 16,346)( 17,341)( 18,344)( 19,343)( 20,342)( 21,337)( 22,340)( 23,339)
( 24,338)( 25,333)( 26,336)( 27,335)( 28,334)( 29,329)( 30,332)( 31,331)
( 32,330)( 33,325)( 34,328)( 35,327)( 36,326)( 37,321)( 38,324)( 39,323)
( 40,322)( 41,317)( 42,320)( 43,319)( 44,318)( 45,269)( 46,272)( 47,271)
( 48,270)( 49,265)( 50,268)( 51,267)( 52,266)( 53,305)( 54,308)( 55,307)
( 56,306)( 57,301)( 58,304)( 59,303)( 60,302)( 61,297)( 62,300)( 63,299)
( 64,298)( 65,293)( 66,296)( 67,295)( 68,294)( 69,289)( 70,292)( 71,291)
( 72,290)( 73,285)( 74,288)( 75,287)( 76,286)( 77,281)( 78,284)( 79,283)
( 80,282)( 81,277)( 82,280)( 83,279)( 84,278)( 85,273)( 86,276)( 87,275)
( 88,274)( 89,357)( 90,360)( 91,359)( 92,358)( 93,353)( 94,356)( 95,355)
( 96,354)( 97,393)( 98,396)( 99,395)(100,394)(101,389)(102,392)(103,391)
(104,390)(105,385)(106,388)(107,387)(108,386)(109,381)(110,384)(111,383)
(112,382)(113,377)(114,380)(115,379)(116,378)(117,373)(118,376)(119,375)
(120,374)(121,369)(122,372)(123,371)(124,370)(125,365)(126,368)(127,367)
(128,366)(129,361)(130,364)(131,363)(132,362)(133,445)(134,448)(135,447)
(136,446)(137,441)(138,444)(139,443)(140,442)(141,481)(142,484)(143,483)
(144,482)(145,477)(146,480)(147,479)(148,478)(149,473)(150,476)(151,475)
(152,474)(153,469)(154,472)(155,471)(156,470)(157,465)(158,468)(159,467)
(160,466)(161,461)(162,464)(163,463)(164,462)(165,457)(166,460)(167,459)
(168,458)(169,453)(170,456)(171,455)(172,454)(173,449)(174,452)(175,451)
(176,450)(177,401)(178,404)(179,403)(180,402)(181,397)(182,400)(183,399)
(184,398)(185,437)(186,440)(187,439)(188,438)(189,433)(190,436)(191,435)
(192,434)(193,429)(194,432)(195,431)(196,430)(197,425)(198,428)(199,427)
(200,426)(201,421)(202,424)(203,423)(204,422)(205,417)(206,420)(207,419)
(208,418)(209,413)(210,416)(211,415)(212,414)(213,409)(214,412)(215,411)
(216,410)(217,405)(218,408)(219,407)(220,406)(221,489)(222,492)(223,491)
(224,490)(225,485)(226,488)(227,487)(228,486)(229,525)(230,528)(231,527)
(232,526)(233,521)(234,524)(235,523)(236,522)(237,517)(238,520)(239,519)
(240,518)(241,513)(242,516)(243,515)(244,514)(245,509)(246,512)(247,511)
(248,510)(249,505)(250,508)(251,507)(252,506)(253,501)(254,504)(255,503)
(256,502)(257,497)(258,500)(259,499)(260,498)(261,493)(262,496)(263,495)
(264,494);
s2 := Sym(528)!( 1, 2)( 3, 4)( 5, 6)( 7, 8)( 9, 10)( 11, 12)( 13, 14)
( 15, 16)( 17, 18)( 19, 20)( 21, 22)( 23, 24)( 25, 26)( 27, 28)( 29, 30)
( 31, 32)( 33, 34)( 35, 36)( 37, 38)( 39, 40)( 41, 42)( 43, 44)( 45, 46)
( 47, 48)( 49, 50)( 51, 52)( 53, 54)( 55, 56)( 57, 58)( 59, 60)( 61, 62)
( 63, 64)( 65, 66)( 67, 68)( 69, 70)( 71, 72)( 73, 74)( 75, 76)( 77, 78)
( 79, 80)( 81, 82)( 83, 84)( 85, 86)( 87, 88)( 89, 90)( 91, 92)( 93, 94)
( 95, 96)( 97, 98)( 99,100)(101,102)(103,104)(105,106)(107,108)(109,110)
(111,112)(113,114)(115,116)(117,118)(119,120)(121,122)(123,124)(125,126)
(127,128)(129,130)(131,132)(133,134)(135,136)(137,138)(139,140)(141,142)
(143,144)(145,146)(147,148)(149,150)(151,152)(153,154)(155,156)(157,158)
(159,160)(161,162)(163,164)(165,166)(167,168)(169,170)(171,172)(173,174)
(175,176)(177,178)(179,180)(181,182)(183,184)(185,186)(187,188)(189,190)
(191,192)(193,194)(195,196)(197,198)(199,200)(201,202)(203,204)(205,206)
(207,208)(209,210)(211,212)(213,214)(215,216)(217,218)(219,220)(221,222)
(223,224)(225,226)(227,228)(229,230)(231,232)(233,234)(235,236)(237,238)
(239,240)(241,242)(243,244)(245,246)(247,248)(249,250)(251,252)(253,254)
(255,256)(257,258)(259,260)(261,262)(263,264)(265,266)(267,268)(269,270)
(271,272)(273,274)(275,276)(277,278)(279,280)(281,282)(283,284)(285,286)
(287,288)(289,290)(291,292)(293,294)(295,296)(297,298)(299,300)(301,302)
(303,304)(305,306)(307,308)(309,310)(311,312)(313,314)(315,316)(317,318)
(319,320)(321,322)(323,324)(325,326)(327,328)(329,330)(331,332)(333,334)
(335,336)(337,338)(339,340)(341,342)(343,344)(345,346)(347,348)(349,350)
(351,352)(353,354)(355,356)(357,358)(359,360)(361,362)(363,364)(365,366)
(367,368)(369,370)(371,372)(373,374)(375,376)(377,378)(379,380)(381,382)
(383,384)(385,386)(387,388)(389,390)(391,392)(393,394)(395,396)(397,398)
(399,400)(401,402)(403,404)(405,406)(407,408)(409,410)(411,412)(413,414)
(415,416)(417,418)(419,420)(421,422)(423,424)(425,426)(427,428)(429,430)
(431,432)(433,434)(435,436)(437,438)(439,440)(441,442)(443,444)(445,446)
(447,448)(449,450)(451,452)(453,454)(455,456)(457,458)(459,460)(461,462)
(463,464)(465,466)(467,468)(469,470)(471,472)(473,474)(475,476)(477,478)
(479,480)(481,482)(483,484)(485,486)(487,488)(489,490)(491,492)(493,494)
(495,496)(497,498)(499,500)(501,502)(503,504)(505,506)(507,508)(509,510)
(511,512)(513,514)(515,516)(517,518)(519,520)(521,522)(523,524)(525,526)
(527,528);
poly := sub<Sym(528)|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*s1*s2*s1*s2,
s2*s1*s0*s2*s1*s2*s1*s0*s1, s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1 >;
References : None.
to this polytope