Polytope of Type {4,66}
This page is part of the Atlas of Small Regular Polytopes
Atlas Canonical Name : {4,66}*1056
if this polytope has a name.
Group : SmallGroup(1056,1017)
Rank : 3
Schlafli Type : {4,66}
Number of vertices, edges, etc : 8, 264, 132
Order of s0s1s2 : 66
Order of s0s1s2s1 : 4
Special Properties :
Compact Hyperbolic Quotient
Locally Spherical
Orientable
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 : {4,33}*528, {4,66}*528b, {4,66}*528c
4-fold quotients : {4,33}*264, {2,66}*264
8-fold quotients : {2,33}*132
11-fold quotients : {4,6}*96
12-fold quotients : {2,22}*88
22-fold quotients : {4,3}*48, {4,6}*48b, {4,6}*48c
24-fold quotients : {2,11}*44
44-fold quotients : {4,3}*24, {2,6}*24
88-fold quotients : {2,3}*12
132-fold quotients : {2,2}*8
Covers (Minimal Covers in Boldface) :
None in this atlas.
Permutation Representation (GAP) :
s0 := ( 1,267)( 2,268)( 3,265)( 4,266)( 5,271)( 6,272)( 7,269)( 8,270)
( 9,275)( 10,276)( 11,273)( 12,274)( 13,279)( 14,280)( 15,277)( 16,278)
( 17,283)( 18,284)( 19,281)( 20,282)( 21,287)( 22,288)( 23,285)( 24,286)
( 25,291)( 26,292)( 27,289)( 28,290)( 29,295)( 30,296)( 31,293)( 32,294)
( 33,299)( 34,300)( 35,297)( 36,298)( 37,303)( 38,304)( 39,301)( 40,302)
( 41,307)( 42,308)( 43,305)( 44,306)( 45,311)( 46,312)( 47,309)( 48,310)
( 49,315)( 50,316)( 51,313)( 52,314)( 53,319)( 54,320)( 55,317)( 56,318)
( 57,323)( 58,324)( 59,321)( 60,322)( 61,327)( 62,328)( 63,325)( 64,326)
( 65,331)( 66,332)( 67,329)( 68,330)( 69,335)( 70,336)( 71,333)( 72,334)
( 73,339)( 74,340)( 75,337)( 76,338)( 77,343)( 78,344)( 79,341)( 80,342)
( 81,347)( 82,348)( 83,345)( 84,346)( 85,351)( 86,352)( 87,349)( 88,350)
( 89,355)( 90,356)( 91,353)( 92,354)( 93,359)( 94,360)( 95,357)( 96,358)
( 97,363)( 98,364)( 99,361)(100,362)(101,367)(102,368)(103,365)(104,366)
(105,371)(106,372)(107,369)(108,370)(109,375)(110,376)(111,373)(112,374)
(113,379)(114,380)(115,377)(116,378)(117,383)(118,384)(119,381)(120,382)
(121,387)(122,388)(123,385)(124,386)(125,391)(126,392)(127,389)(128,390)
(129,395)(130,396)(131,393)(132,394)(133,399)(134,400)(135,397)(136,398)
(137,403)(138,404)(139,401)(140,402)(141,407)(142,408)(143,405)(144,406)
(145,411)(146,412)(147,409)(148,410)(149,415)(150,416)(151,413)(152,414)
(153,419)(154,420)(155,417)(156,418)(157,423)(158,424)(159,421)(160,422)
(161,427)(162,428)(163,425)(164,426)(165,431)(166,432)(167,429)(168,430)
(169,435)(170,436)(171,433)(172,434)(173,439)(174,440)(175,437)(176,438)
(177,443)(178,444)(179,441)(180,442)(181,447)(182,448)(183,445)(184,446)
(185,451)(186,452)(187,449)(188,450)(189,455)(190,456)(191,453)(192,454)
(193,459)(194,460)(195,457)(196,458)(197,463)(198,464)(199,461)(200,462)
(201,467)(202,468)(203,465)(204,466)(205,471)(206,472)(207,469)(208,470)
(209,475)(210,476)(211,473)(212,474)(213,479)(214,480)(215,477)(216,478)
(217,483)(218,484)(219,481)(220,482)(221,487)(222,488)(223,485)(224,486)
(225,491)(226,492)(227,489)(228,490)(229,495)(230,496)(231,493)(232,494)
(233,499)(234,500)(235,497)(236,498)(237,503)(238,504)(239,501)(240,502)
(241,507)(242,508)(243,505)(244,506)(245,511)(246,512)(247,509)(248,510)
(249,515)(250,516)(251,513)(252,514)(253,519)(254,520)(255,517)(256,518)
(257,523)(258,524)(259,521)(260,522)(261,527)(262,528)(263,525)(264,526);;
s1 := ( 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)(267,268)(269,305)(270,306)(271,308)(272,307)(273,301)
(274,302)(275,304)(276,303)(277,297)(278,298)(279,300)(280,299)(281,293)
(282,294)(283,296)(284,295)(285,289)(286,290)(287,292)(288,291)(309,353)
(310,354)(311,356)(312,355)(313,393)(314,394)(315,396)(316,395)(317,389)
(318,390)(319,392)(320,391)(321,385)(322,386)(323,388)(324,387)(325,381)
(326,382)(327,384)(328,383)(329,377)(330,378)(331,380)(332,379)(333,373)
(334,374)(335,376)(336,375)(337,369)(338,370)(339,372)(340,371)(341,365)
(342,366)(343,368)(344,367)(345,361)(346,362)(347,364)(348,363)(349,357)
(350,358)(351,360)(352,359)(399,400)(401,437)(402,438)(403,440)(404,439)
(405,433)(406,434)(407,436)(408,435)(409,429)(410,430)(411,432)(412,431)
(413,425)(414,426)(415,428)(416,427)(417,421)(418,422)(419,424)(420,423)
(441,485)(442,486)(443,488)(444,487)(445,525)(446,526)(447,528)(448,527)
(449,521)(450,522)(451,524)(452,523)(453,517)(454,518)(455,520)(456,519)
(457,513)(458,514)(459,516)(460,515)(461,509)(462,510)(463,512)(464,511)
(465,505)(466,506)(467,508)(468,507)(469,501)(470,502)(471,504)(472,503)
(473,497)(474,498)(475,500)(476,499)(477,493)(478,494)(479,496)(480,495)
(481,489)(482,490)(483,492)(484,491);;
s2 := ( 1,181)( 2,184)( 3,183)( 4,182)( 5,177)( 6,180)( 7,179)( 8,178)
( 9,217)( 10,220)( 11,219)( 12,218)( 13,213)( 14,216)( 15,215)( 16,214)
( 17,209)( 18,212)( 19,211)( 20,210)( 21,205)( 22,208)( 23,207)( 24,206)
( 25,201)( 26,204)( 27,203)( 28,202)( 29,197)( 30,200)( 31,199)( 32,198)
( 33,193)( 34,196)( 35,195)( 36,194)( 37,189)( 38,192)( 39,191)( 40,190)
( 41,185)( 42,188)( 43,187)( 44,186)( 45,137)( 46,140)( 47,139)( 48,138)
( 49,133)( 50,136)( 51,135)( 52,134)( 53,173)( 54,176)( 55,175)( 56,174)
( 57,169)( 58,172)( 59,171)( 60,170)( 61,165)( 62,168)( 63,167)( 64,166)
( 65,161)( 66,164)( 67,163)( 68,162)( 69,157)( 70,160)( 71,159)( 72,158)
( 73,153)( 74,156)( 75,155)( 76,154)( 77,149)( 78,152)( 79,151)( 80,150)
( 81,145)( 82,148)( 83,147)( 84,146)( 85,141)( 86,144)( 87,143)( 88,142)
( 89,225)( 90,228)( 91,227)( 92,226)( 93,221)( 94,224)( 95,223)( 96,222)
( 97,261)( 98,264)( 99,263)(100,262)(101,257)(102,260)(103,259)(104,258)
(105,253)(106,256)(107,255)(108,254)(109,249)(110,252)(111,251)(112,250)
(113,245)(114,248)(115,247)(116,246)(117,241)(118,244)(119,243)(120,242)
(121,237)(122,240)(123,239)(124,238)(125,233)(126,236)(127,235)(128,234)
(129,229)(130,232)(131,231)(132,230)(265,445)(266,448)(267,447)(268,446)
(269,441)(270,444)(271,443)(272,442)(273,481)(274,484)(275,483)(276,482)
(277,477)(278,480)(279,479)(280,478)(281,473)(282,476)(283,475)(284,474)
(285,469)(286,472)(287,471)(288,470)(289,465)(290,468)(291,467)(292,466)
(293,461)(294,464)(295,463)(296,462)(297,457)(298,460)(299,459)(300,458)
(301,453)(302,456)(303,455)(304,454)(305,449)(306,452)(307,451)(308,450)
(309,401)(310,404)(311,403)(312,402)(313,397)(314,400)(315,399)(316,398)
(317,437)(318,440)(319,439)(320,438)(321,433)(322,436)(323,435)(324,434)
(325,429)(326,432)(327,431)(328,430)(329,425)(330,428)(331,427)(332,426)
(333,421)(334,424)(335,423)(336,422)(337,417)(338,420)(339,419)(340,418)
(341,413)(342,416)(343,415)(344,414)(345,409)(346,412)(347,411)(348,410)
(349,405)(350,408)(351,407)(352,406)(353,489)(354,492)(355,491)(356,490)
(357,485)(358,488)(359,487)(360,486)(361,525)(362,528)(363,527)(364,526)
(365,521)(366,524)(367,523)(368,522)(369,517)(370,520)(371,519)(372,518)
(373,513)(374,516)(375,515)(376,514)(377,509)(378,512)(379,511)(380,510)
(381,505)(382,508)(383,507)(384,506)(385,501)(386,504)(387,503)(388,502)
(389,497)(390,500)(391,499)(392,498)(393,493)(394,496)(395,495)(396,494);;
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, s0*s1*s0*s1*s0*s1*s0*s1,
s0*s1*s2*s1*s2*s1*s0*s1*s2*s1*s2*s1,
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*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*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2 ];;
poly := F / rels;;
Permutation Representation (Magma) :
s0 := Sym(528)!( 1,267)( 2,268)( 3,265)( 4,266)( 5,271)( 6,272)( 7,269)
( 8,270)( 9,275)( 10,276)( 11,273)( 12,274)( 13,279)( 14,280)( 15,277)
( 16,278)( 17,283)( 18,284)( 19,281)( 20,282)( 21,287)( 22,288)( 23,285)
( 24,286)( 25,291)( 26,292)( 27,289)( 28,290)( 29,295)( 30,296)( 31,293)
( 32,294)( 33,299)( 34,300)( 35,297)( 36,298)( 37,303)( 38,304)( 39,301)
( 40,302)( 41,307)( 42,308)( 43,305)( 44,306)( 45,311)( 46,312)( 47,309)
( 48,310)( 49,315)( 50,316)( 51,313)( 52,314)( 53,319)( 54,320)( 55,317)
( 56,318)( 57,323)( 58,324)( 59,321)( 60,322)( 61,327)( 62,328)( 63,325)
( 64,326)( 65,331)( 66,332)( 67,329)( 68,330)( 69,335)( 70,336)( 71,333)
( 72,334)( 73,339)( 74,340)( 75,337)( 76,338)( 77,343)( 78,344)( 79,341)
( 80,342)( 81,347)( 82,348)( 83,345)( 84,346)( 85,351)( 86,352)( 87,349)
( 88,350)( 89,355)( 90,356)( 91,353)( 92,354)( 93,359)( 94,360)( 95,357)
( 96,358)( 97,363)( 98,364)( 99,361)(100,362)(101,367)(102,368)(103,365)
(104,366)(105,371)(106,372)(107,369)(108,370)(109,375)(110,376)(111,373)
(112,374)(113,379)(114,380)(115,377)(116,378)(117,383)(118,384)(119,381)
(120,382)(121,387)(122,388)(123,385)(124,386)(125,391)(126,392)(127,389)
(128,390)(129,395)(130,396)(131,393)(132,394)(133,399)(134,400)(135,397)
(136,398)(137,403)(138,404)(139,401)(140,402)(141,407)(142,408)(143,405)
(144,406)(145,411)(146,412)(147,409)(148,410)(149,415)(150,416)(151,413)
(152,414)(153,419)(154,420)(155,417)(156,418)(157,423)(158,424)(159,421)
(160,422)(161,427)(162,428)(163,425)(164,426)(165,431)(166,432)(167,429)
(168,430)(169,435)(170,436)(171,433)(172,434)(173,439)(174,440)(175,437)
(176,438)(177,443)(178,444)(179,441)(180,442)(181,447)(182,448)(183,445)
(184,446)(185,451)(186,452)(187,449)(188,450)(189,455)(190,456)(191,453)
(192,454)(193,459)(194,460)(195,457)(196,458)(197,463)(198,464)(199,461)
(200,462)(201,467)(202,468)(203,465)(204,466)(205,471)(206,472)(207,469)
(208,470)(209,475)(210,476)(211,473)(212,474)(213,479)(214,480)(215,477)
(216,478)(217,483)(218,484)(219,481)(220,482)(221,487)(222,488)(223,485)
(224,486)(225,491)(226,492)(227,489)(228,490)(229,495)(230,496)(231,493)
(232,494)(233,499)(234,500)(235,497)(236,498)(237,503)(238,504)(239,501)
(240,502)(241,507)(242,508)(243,505)(244,506)(245,511)(246,512)(247,509)
(248,510)(249,515)(250,516)(251,513)(252,514)(253,519)(254,520)(255,517)
(256,518)(257,523)(258,524)(259,521)(260,522)(261,527)(262,528)(263,525)
(264,526);
s1 := 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)(267,268)(269,305)(270,306)(271,308)(272,307)
(273,301)(274,302)(275,304)(276,303)(277,297)(278,298)(279,300)(280,299)
(281,293)(282,294)(283,296)(284,295)(285,289)(286,290)(287,292)(288,291)
(309,353)(310,354)(311,356)(312,355)(313,393)(314,394)(315,396)(316,395)
(317,389)(318,390)(319,392)(320,391)(321,385)(322,386)(323,388)(324,387)
(325,381)(326,382)(327,384)(328,383)(329,377)(330,378)(331,380)(332,379)
(333,373)(334,374)(335,376)(336,375)(337,369)(338,370)(339,372)(340,371)
(341,365)(342,366)(343,368)(344,367)(345,361)(346,362)(347,364)(348,363)
(349,357)(350,358)(351,360)(352,359)(399,400)(401,437)(402,438)(403,440)
(404,439)(405,433)(406,434)(407,436)(408,435)(409,429)(410,430)(411,432)
(412,431)(413,425)(414,426)(415,428)(416,427)(417,421)(418,422)(419,424)
(420,423)(441,485)(442,486)(443,488)(444,487)(445,525)(446,526)(447,528)
(448,527)(449,521)(450,522)(451,524)(452,523)(453,517)(454,518)(455,520)
(456,519)(457,513)(458,514)(459,516)(460,515)(461,509)(462,510)(463,512)
(464,511)(465,505)(466,506)(467,508)(468,507)(469,501)(470,502)(471,504)
(472,503)(473,497)(474,498)(475,500)(476,499)(477,493)(478,494)(479,496)
(480,495)(481,489)(482,490)(483,492)(484,491);
s2 := Sym(528)!( 1,181)( 2,184)( 3,183)( 4,182)( 5,177)( 6,180)( 7,179)
( 8,178)( 9,217)( 10,220)( 11,219)( 12,218)( 13,213)( 14,216)( 15,215)
( 16,214)( 17,209)( 18,212)( 19,211)( 20,210)( 21,205)( 22,208)( 23,207)
( 24,206)( 25,201)( 26,204)( 27,203)( 28,202)( 29,197)( 30,200)( 31,199)
( 32,198)( 33,193)( 34,196)( 35,195)( 36,194)( 37,189)( 38,192)( 39,191)
( 40,190)( 41,185)( 42,188)( 43,187)( 44,186)( 45,137)( 46,140)( 47,139)
( 48,138)( 49,133)( 50,136)( 51,135)( 52,134)( 53,173)( 54,176)( 55,175)
( 56,174)( 57,169)( 58,172)( 59,171)( 60,170)( 61,165)( 62,168)( 63,167)
( 64,166)( 65,161)( 66,164)( 67,163)( 68,162)( 69,157)( 70,160)( 71,159)
( 72,158)( 73,153)( 74,156)( 75,155)( 76,154)( 77,149)( 78,152)( 79,151)
( 80,150)( 81,145)( 82,148)( 83,147)( 84,146)( 85,141)( 86,144)( 87,143)
( 88,142)( 89,225)( 90,228)( 91,227)( 92,226)( 93,221)( 94,224)( 95,223)
( 96,222)( 97,261)( 98,264)( 99,263)(100,262)(101,257)(102,260)(103,259)
(104,258)(105,253)(106,256)(107,255)(108,254)(109,249)(110,252)(111,251)
(112,250)(113,245)(114,248)(115,247)(116,246)(117,241)(118,244)(119,243)
(120,242)(121,237)(122,240)(123,239)(124,238)(125,233)(126,236)(127,235)
(128,234)(129,229)(130,232)(131,231)(132,230)(265,445)(266,448)(267,447)
(268,446)(269,441)(270,444)(271,443)(272,442)(273,481)(274,484)(275,483)
(276,482)(277,477)(278,480)(279,479)(280,478)(281,473)(282,476)(283,475)
(284,474)(285,469)(286,472)(287,471)(288,470)(289,465)(290,468)(291,467)
(292,466)(293,461)(294,464)(295,463)(296,462)(297,457)(298,460)(299,459)
(300,458)(301,453)(302,456)(303,455)(304,454)(305,449)(306,452)(307,451)
(308,450)(309,401)(310,404)(311,403)(312,402)(313,397)(314,400)(315,399)
(316,398)(317,437)(318,440)(319,439)(320,438)(321,433)(322,436)(323,435)
(324,434)(325,429)(326,432)(327,431)(328,430)(329,425)(330,428)(331,427)
(332,426)(333,421)(334,424)(335,423)(336,422)(337,417)(338,420)(339,419)
(340,418)(341,413)(342,416)(343,415)(344,414)(345,409)(346,412)(347,411)
(348,410)(349,405)(350,408)(351,407)(352,406)(353,489)(354,492)(355,491)
(356,490)(357,485)(358,488)(359,487)(360,486)(361,525)(362,528)(363,527)
(364,526)(365,521)(366,524)(367,523)(368,522)(369,517)(370,520)(371,519)
(372,518)(373,513)(374,516)(375,515)(376,514)(377,509)(378,512)(379,511)
(380,510)(381,505)(382,508)(383,507)(384,506)(385,501)(386,504)(387,503)
(388,502)(389,497)(390,500)(391,499)(392,498)(393,493)(394,496)(395,495)
(396,494);
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, s0*s1*s0*s1*s0*s1*s0*s1,
s0*s1*s2*s1*s2*s1*s0*s1*s2*s1*s2*s1,
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*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*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2 >;
References : None.
to this polytope