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Polytope of Type {8,6,20}

This page is part of the Atlas of Small Regular Polytopes
Atlas Canonical Name : {8,6,20}*1920
Also Known As : {{8,6|2},{6,20|2}}. if this polytope has another name.
Group : SmallGroup(1920,182103)
Rank : 4
Schlafli Type : {8,6,20}
Number of vertices, edges, etc : 8, 24, 60, 20
Order of s0s1s2s3 : 120
Order of s0s1s2s3s2s1 : 2
Special Properties :
   Universal
   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 : {4,6,20}*960a, {8,6,10}*960
   3-fold quotients : {8,2,20}*640
   4-fold quotients : {2,6,20}*480a, {4,6,10}*480a
   5-fold quotients : {8,6,4}*384a
   6-fold quotients : {4,2,20}*320, {8,2,10}*320
   8-fold quotients : {2,6,10}*240
   10-fold quotients : {4,6,4}*192a, {8,6,2}*192
   12-fold quotients : {8,2,5}*160, {2,2,20}*160, {4,2,10}*160
   15-fold quotients : {8,2,4}*128
   20-fold quotients : {2,6,4}*96a, {4,6,2}*96a
   24-fold quotients : {4,2,5}*80, {2,2,10}*80
   30-fold quotients : {4,2,4}*64, {8,2,2}*64
   40-fold quotients : {2,6,2}*48
   48-fold quotients : {2,2,5}*40
   60-fold quotients : {2,2,4}*32, {4,2,2}*32
   80-fold quotients : {2,3,2}*24
   120-fold quotients : {2,2,2}*16
Covers (Minimal Covers in Boldface) :
   None in this atlas.
Permutation Representation (GAP) :
s0 := (  1,481)(  2,482)(  3,483)(  4,484)(  5,485)(  6,486)(  7,487)(  8,488)
(  9,489)( 10,490)( 11,491)( 12,492)( 13,493)( 14,494)( 15,495)( 16,496)
( 17,497)( 18,498)( 19,499)( 20,500)( 21,501)( 22,502)( 23,503)( 24,504)
( 25,505)( 26,506)( 27,507)( 28,508)( 29,509)( 30,510)( 31,511)( 32,512)
( 33,513)( 34,514)( 35,515)( 36,516)( 37,517)( 38,518)( 39,519)( 40,520)
( 41,521)( 42,522)( 43,523)( 44,524)( 45,525)( 46,526)( 47,527)( 48,528)
( 49,529)( 50,530)( 51,531)( 52,532)( 53,533)( 54,534)( 55,535)( 56,536)
( 57,537)( 58,538)( 59,539)( 60,540)( 61,556)( 62,557)( 63,558)( 64,559)
( 65,560)( 66,561)( 67,562)( 68,563)( 69,564)( 70,565)( 71,566)( 72,567)
( 73,568)( 74,569)( 75,570)( 76,541)( 77,542)( 78,543)( 79,544)( 80,545)
( 81,546)( 82,547)( 83,548)( 84,549)( 85,550)( 86,551)( 87,552)( 88,553)
( 89,554)( 90,555)( 91,586)( 92,587)( 93,588)( 94,589)( 95,590)( 96,591)
( 97,592)( 98,593)( 99,594)(100,595)(101,596)(102,597)(103,598)(104,599)
(105,600)(106,571)(107,572)(108,573)(109,574)(110,575)(111,576)(112,577)
(113,578)(114,579)(115,580)(116,581)(117,582)(118,583)(119,584)(120,585)
(121,661)(122,662)(123,663)(124,664)(125,665)(126,666)(127,667)(128,668)
(129,669)(130,670)(131,671)(132,672)(133,673)(134,674)(135,675)(136,676)
(137,677)(138,678)(139,679)(140,680)(141,681)(142,682)(143,683)(144,684)
(145,685)(146,686)(147,687)(148,688)(149,689)(150,690)(151,691)(152,692)
(153,693)(154,694)(155,695)(156,696)(157,697)(158,698)(159,699)(160,700)
(161,701)(162,702)(163,703)(164,704)(165,705)(166,706)(167,707)(168,708)
(169,709)(170,710)(171,711)(172,712)(173,713)(174,714)(175,715)(176,716)
(177,717)(178,718)(179,719)(180,720)(181,601)(182,602)(183,603)(184,604)
(185,605)(186,606)(187,607)(188,608)(189,609)(190,610)(191,611)(192,612)
(193,613)(194,614)(195,615)(196,616)(197,617)(198,618)(199,619)(200,620)
(201,621)(202,622)(203,623)(204,624)(205,625)(206,626)(207,627)(208,628)
(209,629)(210,630)(211,631)(212,632)(213,633)(214,634)(215,635)(216,636)
(217,637)(218,638)(219,639)(220,640)(221,641)(222,642)(223,643)(224,644)
(225,645)(226,646)(227,647)(228,648)(229,649)(230,650)(231,651)(232,652)
(233,653)(234,654)(235,655)(236,656)(237,657)(238,658)(239,659)(240,660)
(241,721)(242,722)(243,723)(244,724)(245,725)(246,726)(247,727)(248,728)
(249,729)(250,730)(251,731)(252,732)(253,733)(254,734)(255,735)(256,736)
(257,737)(258,738)(259,739)(260,740)(261,741)(262,742)(263,743)(264,744)
(265,745)(266,746)(267,747)(268,748)(269,749)(270,750)(271,751)(272,752)
(273,753)(274,754)(275,755)(276,756)(277,757)(278,758)(279,759)(280,760)
(281,761)(282,762)(283,763)(284,764)(285,765)(286,766)(287,767)(288,768)
(289,769)(290,770)(291,771)(292,772)(293,773)(294,774)(295,775)(296,776)
(297,777)(298,778)(299,779)(300,780)(301,796)(302,797)(303,798)(304,799)
(305,800)(306,801)(307,802)(308,803)(309,804)(310,805)(311,806)(312,807)
(313,808)(314,809)(315,810)(316,781)(317,782)(318,783)(319,784)(320,785)
(321,786)(322,787)(323,788)(324,789)(325,790)(326,791)(327,792)(328,793)
(329,794)(330,795)(331,826)(332,827)(333,828)(334,829)(335,830)(336,831)
(337,832)(338,833)(339,834)(340,835)(341,836)(342,837)(343,838)(344,839)
(345,840)(346,811)(347,812)(348,813)(349,814)(350,815)(351,816)(352,817)
(353,818)(354,819)(355,820)(356,821)(357,822)(358,823)(359,824)(360,825)
(361,901)(362,902)(363,903)(364,904)(365,905)(366,906)(367,907)(368,908)
(369,909)(370,910)(371,911)(372,912)(373,913)(374,914)(375,915)(376,916)
(377,917)(378,918)(379,919)(380,920)(381,921)(382,922)(383,923)(384,924)
(385,925)(386,926)(387,927)(388,928)(389,929)(390,930)(391,931)(392,932)
(393,933)(394,934)(395,935)(396,936)(397,937)(398,938)(399,939)(400,940)
(401,941)(402,942)(403,943)(404,944)(405,945)(406,946)(407,947)(408,948)
(409,949)(410,950)(411,951)(412,952)(413,953)(414,954)(415,955)(416,956)
(417,957)(418,958)(419,959)(420,960)(421,841)(422,842)(423,843)(424,844)
(425,845)(426,846)(427,847)(428,848)(429,849)(430,850)(431,851)(432,852)
(433,853)(434,854)(435,855)(436,856)(437,857)(438,858)(439,859)(440,860)
(441,861)(442,862)(443,863)(444,864)(445,865)(446,866)(447,867)(448,868)
(449,869)(450,870)(451,871)(452,872)(453,873)(454,874)(455,875)(456,876)
(457,877)(458,878)(459,879)(460,880)(461,881)(462,882)(463,883)(464,884)
(465,885)(466,886)(467,887)(468,888)(469,889)(470,890)(471,891)(472,892)
(473,893)(474,894)(475,895)(476,896)(477,897)(478,898)(479,899)(480,900);;
s1 := (  1,121)(  2,122)(  3,123)(  4,124)(  5,125)(  6,131)(  7,132)(  8,133)
(  9,134)( 10,135)( 11,126)( 12,127)( 13,128)( 14,129)( 15,130)( 16,136)
( 17,137)( 18,138)( 19,139)( 20,140)( 21,146)( 22,147)( 23,148)( 24,149)
( 25,150)( 26,141)( 27,142)( 28,143)( 29,144)( 30,145)( 31,151)( 32,152)
( 33,153)( 34,154)( 35,155)( 36,161)( 37,162)( 38,163)( 39,164)( 40,165)
( 41,156)( 42,157)( 43,158)( 44,159)( 45,160)( 46,166)( 47,167)( 48,168)
( 49,169)( 50,170)( 51,176)( 52,177)( 53,178)( 54,179)( 55,180)( 56,171)
( 57,172)( 58,173)( 59,174)( 60,175)( 61,196)( 62,197)( 63,198)( 64,199)
( 65,200)( 66,206)( 67,207)( 68,208)( 69,209)( 70,210)( 71,201)( 72,202)
( 73,203)( 74,204)( 75,205)( 76,181)( 77,182)( 78,183)( 79,184)( 80,185)
( 81,191)( 82,192)( 83,193)( 84,194)( 85,195)( 86,186)( 87,187)( 88,188)
( 89,189)( 90,190)( 91,226)( 92,227)( 93,228)( 94,229)( 95,230)( 96,236)
( 97,237)( 98,238)( 99,239)(100,240)(101,231)(102,232)(103,233)(104,234)
(105,235)(106,211)(107,212)(108,213)(109,214)(110,215)(111,221)(112,222)
(113,223)(114,224)(115,225)(116,216)(117,217)(118,218)(119,219)(120,220)
(241,361)(242,362)(243,363)(244,364)(245,365)(246,371)(247,372)(248,373)
(249,374)(250,375)(251,366)(252,367)(253,368)(254,369)(255,370)(256,376)
(257,377)(258,378)(259,379)(260,380)(261,386)(262,387)(263,388)(264,389)
(265,390)(266,381)(267,382)(268,383)(269,384)(270,385)(271,391)(272,392)
(273,393)(274,394)(275,395)(276,401)(277,402)(278,403)(279,404)(280,405)
(281,396)(282,397)(283,398)(284,399)(285,400)(286,406)(287,407)(288,408)
(289,409)(290,410)(291,416)(292,417)(293,418)(294,419)(295,420)(296,411)
(297,412)(298,413)(299,414)(300,415)(301,436)(302,437)(303,438)(304,439)
(305,440)(306,446)(307,447)(308,448)(309,449)(310,450)(311,441)(312,442)
(313,443)(314,444)(315,445)(316,421)(317,422)(318,423)(319,424)(320,425)
(321,431)(322,432)(323,433)(324,434)(325,435)(326,426)(327,427)(328,428)
(329,429)(330,430)(331,466)(332,467)(333,468)(334,469)(335,470)(336,476)
(337,477)(338,478)(339,479)(340,480)(341,471)(342,472)(343,473)(344,474)
(345,475)(346,451)(347,452)(348,453)(349,454)(350,455)(351,461)(352,462)
(353,463)(354,464)(355,465)(356,456)(357,457)(358,458)(359,459)(360,460)
(481,601)(482,602)(483,603)(484,604)(485,605)(486,611)(487,612)(488,613)
(489,614)(490,615)(491,606)(492,607)(493,608)(494,609)(495,610)(496,616)
(497,617)(498,618)(499,619)(500,620)(501,626)(502,627)(503,628)(504,629)
(505,630)(506,621)(507,622)(508,623)(509,624)(510,625)(511,631)(512,632)
(513,633)(514,634)(515,635)(516,641)(517,642)(518,643)(519,644)(520,645)
(521,636)(522,637)(523,638)(524,639)(525,640)(526,646)(527,647)(528,648)
(529,649)(530,650)(531,656)(532,657)(533,658)(534,659)(535,660)(536,651)
(537,652)(538,653)(539,654)(540,655)(541,676)(542,677)(543,678)(544,679)
(545,680)(546,686)(547,687)(548,688)(549,689)(550,690)(551,681)(552,682)
(553,683)(554,684)(555,685)(556,661)(557,662)(558,663)(559,664)(560,665)
(561,671)(562,672)(563,673)(564,674)(565,675)(566,666)(567,667)(568,668)
(569,669)(570,670)(571,706)(572,707)(573,708)(574,709)(575,710)(576,716)
(577,717)(578,718)(579,719)(580,720)(581,711)(582,712)(583,713)(584,714)
(585,715)(586,691)(587,692)(588,693)(589,694)(590,695)(591,701)(592,702)
(593,703)(594,704)(595,705)(596,696)(597,697)(598,698)(599,699)(600,700)
(721,841)(722,842)(723,843)(724,844)(725,845)(726,851)(727,852)(728,853)
(729,854)(730,855)(731,846)(732,847)(733,848)(734,849)(735,850)(736,856)
(737,857)(738,858)(739,859)(740,860)(741,866)(742,867)(743,868)(744,869)
(745,870)(746,861)(747,862)(748,863)(749,864)(750,865)(751,871)(752,872)
(753,873)(754,874)(755,875)(756,881)(757,882)(758,883)(759,884)(760,885)
(761,876)(762,877)(763,878)(764,879)(765,880)(766,886)(767,887)(768,888)
(769,889)(770,890)(771,896)(772,897)(773,898)(774,899)(775,900)(776,891)
(777,892)(778,893)(779,894)(780,895)(781,916)(782,917)(783,918)(784,919)
(785,920)(786,926)(787,927)(788,928)(789,929)(790,930)(791,921)(792,922)
(793,923)(794,924)(795,925)(796,901)(797,902)(798,903)(799,904)(800,905)
(801,911)(802,912)(803,913)(804,914)(805,915)(806,906)(807,907)(808,908)
(809,909)(810,910)(811,946)(812,947)(813,948)(814,949)(815,950)(816,956)
(817,957)(818,958)(819,959)(820,960)(821,951)(822,952)(823,953)(824,954)
(825,955)(826,931)(827,932)(828,933)(829,934)(830,935)(831,941)(832,942)
(833,943)(834,944)(835,945)(836,936)(837,937)(838,938)(839,939)(840,940);;
s2 := (  1,186)(  2,190)(  3,189)(  4,188)(  5,187)(  6,181)(  7,185)(  8,184)
(  9,183)( 10,182)( 11,191)( 12,195)( 13,194)( 14,193)( 15,192)( 16,201)
( 17,205)( 18,204)( 19,203)( 20,202)( 21,196)( 22,200)( 23,199)( 24,198)
( 25,197)( 26,206)( 27,210)( 28,209)( 29,208)( 30,207)( 31,216)( 32,220)
( 33,219)( 34,218)( 35,217)( 36,211)( 37,215)( 38,214)( 39,213)( 40,212)
( 41,221)( 42,225)( 43,224)( 44,223)( 45,222)( 46,231)( 47,235)( 48,234)
( 49,233)( 50,232)( 51,226)( 52,230)( 53,229)( 54,228)( 55,227)( 56,236)
( 57,240)( 58,239)( 59,238)( 60,237)( 61,141)( 62,145)( 63,144)( 64,143)
( 65,142)( 66,136)( 67,140)( 68,139)( 69,138)( 70,137)( 71,146)( 72,150)
( 73,149)( 74,148)( 75,147)( 76,126)( 77,130)( 78,129)( 79,128)( 80,127)
( 81,121)( 82,125)( 83,124)( 84,123)( 85,122)( 86,131)( 87,135)( 88,134)
( 89,133)( 90,132)( 91,171)( 92,175)( 93,174)( 94,173)( 95,172)( 96,166)
( 97,170)( 98,169)( 99,168)(100,167)(101,176)(102,180)(103,179)(104,178)
(105,177)(106,156)(107,160)(108,159)(109,158)(110,157)(111,151)(112,155)
(113,154)(114,153)(115,152)(116,161)(117,165)(118,164)(119,163)(120,162)
(241,456)(242,460)(243,459)(244,458)(245,457)(246,451)(247,455)(248,454)
(249,453)(250,452)(251,461)(252,465)(253,464)(254,463)(255,462)(256,471)
(257,475)(258,474)(259,473)(260,472)(261,466)(262,470)(263,469)(264,468)
(265,467)(266,476)(267,480)(268,479)(269,478)(270,477)(271,426)(272,430)
(273,429)(274,428)(275,427)(276,421)(277,425)(278,424)(279,423)(280,422)
(281,431)(282,435)(283,434)(284,433)(285,432)(286,441)(287,445)(288,444)
(289,443)(290,442)(291,436)(292,440)(293,439)(294,438)(295,437)(296,446)
(297,450)(298,449)(299,448)(300,447)(301,411)(302,415)(303,414)(304,413)
(305,412)(306,406)(307,410)(308,409)(309,408)(310,407)(311,416)(312,420)
(313,419)(314,418)(315,417)(316,396)(317,400)(318,399)(319,398)(320,397)
(321,391)(322,395)(323,394)(324,393)(325,392)(326,401)(327,405)(328,404)
(329,403)(330,402)(331,381)(332,385)(333,384)(334,383)(335,382)(336,376)
(337,380)(338,379)(339,378)(340,377)(341,386)(342,390)(343,389)(344,388)
(345,387)(346,366)(347,370)(348,369)(349,368)(350,367)(351,361)(352,365)
(353,364)(354,363)(355,362)(356,371)(357,375)(358,374)(359,373)(360,372)
(481,606)(482,610)(483,609)(484,608)(485,607)(486,601)(487,605)(488,604)
(489,603)(490,602)(491,611)(492,615)(493,614)(494,613)(495,612)(496,621)
(497,625)(498,624)(499,623)(500,622)(501,616)(502,620)(503,619)(504,618)
(505,617)(506,626)(507,630)(508,629)(509,628)(510,627)(511,636)(512,640)
(513,639)(514,638)(515,637)(516,631)(517,635)(518,634)(519,633)(520,632)
(521,641)(522,645)(523,644)(524,643)(525,642)(526,651)(527,655)(528,654)
(529,653)(530,652)(531,646)(532,650)(533,649)(534,648)(535,647)(536,656)
(537,660)(538,659)(539,658)(540,657)(541,666)(542,670)(543,669)(544,668)
(545,667)(546,661)(547,665)(548,664)(549,663)(550,662)(551,671)(552,675)
(553,674)(554,673)(555,672)(556,681)(557,685)(558,684)(559,683)(560,682)
(561,676)(562,680)(563,679)(564,678)(565,677)(566,686)(567,690)(568,689)
(569,688)(570,687)(571,696)(572,700)(573,699)(574,698)(575,697)(576,691)
(577,695)(578,694)(579,693)(580,692)(581,701)(582,705)(583,704)(584,703)
(585,702)(586,711)(587,715)(588,714)(589,713)(590,712)(591,706)(592,710)
(593,709)(594,708)(595,707)(596,716)(597,720)(598,719)(599,718)(600,717)
(721,876)(722,880)(723,879)(724,878)(725,877)(726,871)(727,875)(728,874)
(729,873)(730,872)(731,881)(732,885)(733,884)(734,883)(735,882)(736,891)
(737,895)(738,894)(739,893)(740,892)(741,886)(742,890)(743,889)(744,888)
(745,887)(746,896)(747,900)(748,899)(749,898)(750,897)(751,846)(752,850)
(753,849)(754,848)(755,847)(756,841)(757,845)(758,844)(759,843)(760,842)
(761,851)(762,855)(763,854)(764,853)(765,852)(766,861)(767,865)(768,864)
(769,863)(770,862)(771,856)(772,860)(773,859)(774,858)(775,857)(776,866)
(777,870)(778,869)(779,868)(780,867)(781,936)(782,940)(783,939)(784,938)
(785,937)(786,931)(787,935)(788,934)(789,933)(790,932)(791,941)(792,945)
(793,944)(794,943)(795,942)(796,951)(797,955)(798,954)(799,953)(800,952)
(801,946)(802,950)(803,949)(804,948)(805,947)(806,956)(807,960)(808,959)
(809,958)(810,957)(811,906)(812,910)(813,909)(814,908)(815,907)(816,901)
(817,905)(818,904)(819,903)(820,902)(821,911)(822,915)(823,914)(824,913)
(825,912)(826,921)(827,925)(828,924)(829,923)(830,922)(831,916)(832,920)
(833,919)(834,918)(835,917)(836,926)(837,930)(838,929)(839,928)(840,927);;
s3 := (  1,242)(  2,241)(  3,245)(  4,244)(  5,243)(  6,247)(  7,246)(  8,250)
(  9,249)( 10,248)( 11,252)( 12,251)( 13,255)( 14,254)( 15,253)( 16,257)
( 17,256)( 18,260)( 19,259)( 20,258)( 21,262)( 22,261)( 23,265)( 24,264)
( 25,263)( 26,267)( 27,266)( 28,270)( 29,269)( 30,268)( 31,272)( 32,271)
( 33,275)( 34,274)( 35,273)( 36,277)( 37,276)( 38,280)( 39,279)( 40,278)
( 41,282)( 42,281)( 43,285)( 44,284)( 45,283)( 46,287)( 47,286)( 48,290)
( 49,289)( 50,288)( 51,292)( 52,291)( 53,295)( 54,294)( 55,293)( 56,297)
( 57,296)( 58,300)( 59,299)( 60,298)( 61,302)( 62,301)( 63,305)( 64,304)
( 65,303)( 66,307)( 67,306)( 68,310)( 69,309)( 70,308)( 71,312)( 72,311)
( 73,315)( 74,314)( 75,313)( 76,317)( 77,316)( 78,320)( 79,319)( 80,318)
( 81,322)( 82,321)( 83,325)( 84,324)( 85,323)( 86,327)( 87,326)( 88,330)
( 89,329)( 90,328)( 91,332)( 92,331)( 93,335)( 94,334)( 95,333)( 96,337)
( 97,336)( 98,340)( 99,339)(100,338)(101,342)(102,341)(103,345)(104,344)
(105,343)(106,347)(107,346)(108,350)(109,349)(110,348)(111,352)(112,351)
(113,355)(114,354)(115,353)(116,357)(117,356)(118,360)(119,359)(120,358)
(121,362)(122,361)(123,365)(124,364)(125,363)(126,367)(127,366)(128,370)
(129,369)(130,368)(131,372)(132,371)(133,375)(134,374)(135,373)(136,377)
(137,376)(138,380)(139,379)(140,378)(141,382)(142,381)(143,385)(144,384)
(145,383)(146,387)(147,386)(148,390)(149,389)(150,388)(151,392)(152,391)
(153,395)(154,394)(155,393)(156,397)(157,396)(158,400)(159,399)(160,398)
(161,402)(162,401)(163,405)(164,404)(165,403)(166,407)(167,406)(168,410)
(169,409)(170,408)(171,412)(172,411)(173,415)(174,414)(175,413)(176,417)
(177,416)(178,420)(179,419)(180,418)(181,422)(182,421)(183,425)(184,424)
(185,423)(186,427)(187,426)(188,430)(189,429)(190,428)(191,432)(192,431)
(193,435)(194,434)(195,433)(196,437)(197,436)(198,440)(199,439)(200,438)
(201,442)(202,441)(203,445)(204,444)(205,443)(206,447)(207,446)(208,450)
(209,449)(210,448)(211,452)(212,451)(213,455)(214,454)(215,453)(216,457)
(217,456)(218,460)(219,459)(220,458)(221,462)(222,461)(223,465)(224,464)
(225,463)(226,467)(227,466)(228,470)(229,469)(230,468)(231,472)(232,471)
(233,475)(234,474)(235,473)(236,477)(237,476)(238,480)(239,479)(240,478)
(481,722)(482,721)(483,725)(484,724)(485,723)(486,727)(487,726)(488,730)
(489,729)(490,728)(491,732)(492,731)(493,735)(494,734)(495,733)(496,737)
(497,736)(498,740)(499,739)(500,738)(501,742)(502,741)(503,745)(504,744)
(505,743)(506,747)(507,746)(508,750)(509,749)(510,748)(511,752)(512,751)
(513,755)(514,754)(515,753)(516,757)(517,756)(518,760)(519,759)(520,758)
(521,762)(522,761)(523,765)(524,764)(525,763)(526,767)(527,766)(528,770)
(529,769)(530,768)(531,772)(532,771)(533,775)(534,774)(535,773)(536,777)
(537,776)(538,780)(539,779)(540,778)(541,782)(542,781)(543,785)(544,784)
(545,783)(546,787)(547,786)(548,790)(549,789)(550,788)(551,792)(552,791)
(553,795)(554,794)(555,793)(556,797)(557,796)(558,800)(559,799)(560,798)
(561,802)(562,801)(563,805)(564,804)(565,803)(566,807)(567,806)(568,810)
(569,809)(570,808)(571,812)(572,811)(573,815)(574,814)(575,813)(576,817)
(577,816)(578,820)(579,819)(580,818)(581,822)(582,821)(583,825)(584,824)
(585,823)(586,827)(587,826)(588,830)(589,829)(590,828)(591,832)(592,831)
(593,835)(594,834)(595,833)(596,837)(597,836)(598,840)(599,839)(600,838)
(601,842)(602,841)(603,845)(604,844)(605,843)(606,847)(607,846)(608,850)
(609,849)(610,848)(611,852)(612,851)(613,855)(614,854)(615,853)(616,857)
(617,856)(618,860)(619,859)(620,858)(621,862)(622,861)(623,865)(624,864)
(625,863)(626,867)(627,866)(628,870)(629,869)(630,868)(631,872)(632,871)
(633,875)(634,874)(635,873)(636,877)(637,876)(638,880)(639,879)(640,878)
(641,882)(642,881)(643,885)(644,884)(645,883)(646,887)(647,886)(648,890)
(649,889)(650,888)(651,892)(652,891)(653,895)(654,894)(655,893)(656,897)
(657,896)(658,900)(659,899)(660,898)(661,902)(662,901)(663,905)(664,904)
(665,903)(666,907)(667,906)(668,910)(669,909)(670,908)(671,912)(672,911)
(673,915)(674,914)(675,913)(676,917)(677,916)(678,920)(679,919)(680,918)
(681,922)(682,921)(683,925)(684,924)(685,923)(686,927)(687,926)(688,930)
(689,929)(690,928)(691,932)(692,931)(693,935)(694,934)(695,933)(696,937)
(697,936)(698,940)(699,939)(700,938)(701,942)(702,941)(703,945)(704,944)
(705,943)(706,947)(707,946)(708,950)(709,949)(710,948)(711,952)(712,951)
(713,955)(714,954)(715,953)(716,957)(717,956)(718,960)(719,959)(720,958);;
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*s2*s1*s0*s1*s2*s1, 
s1*s2*s3*s2*s1*s2*s3*s2, s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2, 
s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1, 
s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3 ];;
poly := F / rels;;
 
Permutation Representation (Magma) :
s0 := Sym(960)!(  1,481)(  2,482)(  3,483)(  4,484)(  5,485)(  6,486)(  7,487)
(  8,488)(  9,489)( 10,490)( 11,491)( 12,492)( 13,493)( 14,494)( 15,495)
( 16,496)( 17,497)( 18,498)( 19,499)( 20,500)( 21,501)( 22,502)( 23,503)
( 24,504)( 25,505)( 26,506)( 27,507)( 28,508)( 29,509)( 30,510)( 31,511)
( 32,512)( 33,513)( 34,514)( 35,515)( 36,516)( 37,517)( 38,518)( 39,519)
( 40,520)( 41,521)( 42,522)( 43,523)( 44,524)( 45,525)( 46,526)( 47,527)
( 48,528)( 49,529)( 50,530)( 51,531)( 52,532)( 53,533)( 54,534)( 55,535)
( 56,536)( 57,537)( 58,538)( 59,539)( 60,540)( 61,556)( 62,557)( 63,558)
( 64,559)( 65,560)( 66,561)( 67,562)( 68,563)( 69,564)( 70,565)( 71,566)
( 72,567)( 73,568)( 74,569)( 75,570)( 76,541)( 77,542)( 78,543)( 79,544)
( 80,545)( 81,546)( 82,547)( 83,548)( 84,549)( 85,550)( 86,551)( 87,552)
( 88,553)( 89,554)( 90,555)( 91,586)( 92,587)( 93,588)( 94,589)( 95,590)
( 96,591)( 97,592)( 98,593)( 99,594)(100,595)(101,596)(102,597)(103,598)
(104,599)(105,600)(106,571)(107,572)(108,573)(109,574)(110,575)(111,576)
(112,577)(113,578)(114,579)(115,580)(116,581)(117,582)(118,583)(119,584)
(120,585)(121,661)(122,662)(123,663)(124,664)(125,665)(126,666)(127,667)
(128,668)(129,669)(130,670)(131,671)(132,672)(133,673)(134,674)(135,675)
(136,676)(137,677)(138,678)(139,679)(140,680)(141,681)(142,682)(143,683)
(144,684)(145,685)(146,686)(147,687)(148,688)(149,689)(150,690)(151,691)
(152,692)(153,693)(154,694)(155,695)(156,696)(157,697)(158,698)(159,699)
(160,700)(161,701)(162,702)(163,703)(164,704)(165,705)(166,706)(167,707)
(168,708)(169,709)(170,710)(171,711)(172,712)(173,713)(174,714)(175,715)
(176,716)(177,717)(178,718)(179,719)(180,720)(181,601)(182,602)(183,603)
(184,604)(185,605)(186,606)(187,607)(188,608)(189,609)(190,610)(191,611)
(192,612)(193,613)(194,614)(195,615)(196,616)(197,617)(198,618)(199,619)
(200,620)(201,621)(202,622)(203,623)(204,624)(205,625)(206,626)(207,627)
(208,628)(209,629)(210,630)(211,631)(212,632)(213,633)(214,634)(215,635)
(216,636)(217,637)(218,638)(219,639)(220,640)(221,641)(222,642)(223,643)
(224,644)(225,645)(226,646)(227,647)(228,648)(229,649)(230,650)(231,651)
(232,652)(233,653)(234,654)(235,655)(236,656)(237,657)(238,658)(239,659)
(240,660)(241,721)(242,722)(243,723)(244,724)(245,725)(246,726)(247,727)
(248,728)(249,729)(250,730)(251,731)(252,732)(253,733)(254,734)(255,735)
(256,736)(257,737)(258,738)(259,739)(260,740)(261,741)(262,742)(263,743)
(264,744)(265,745)(266,746)(267,747)(268,748)(269,749)(270,750)(271,751)
(272,752)(273,753)(274,754)(275,755)(276,756)(277,757)(278,758)(279,759)
(280,760)(281,761)(282,762)(283,763)(284,764)(285,765)(286,766)(287,767)
(288,768)(289,769)(290,770)(291,771)(292,772)(293,773)(294,774)(295,775)
(296,776)(297,777)(298,778)(299,779)(300,780)(301,796)(302,797)(303,798)
(304,799)(305,800)(306,801)(307,802)(308,803)(309,804)(310,805)(311,806)
(312,807)(313,808)(314,809)(315,810)(316,781)(317,782)(318,783)(319,784)
(320,785)(321,786)(322,787)(323,788)(324,789)(325,790)(326,791)(327,792)
(328,793)(329,794)(330,795)(331,826)(332,827)(333,828)(334,829)(335,830)
(336,831)(337,832)(338,833)(339,834)(340,835)(341,836)(342,837)(343,838)
(344,839)(345,840)(346,811)(347,812)(348,813)(349,814)(350,815)(351,816)
(352,817)(353,818)(354,819)(355,820)(356,821)(357,822)(358,823)(359,824)
(360,825)(361,901)(362,902)(363,903)(364,904)(365,905)(366,906)(367,907)
(368,908)(369,909)(370,910)(371,911)(372,912)(373,913)(374,914)(375,915)
(376,916)(377,917)(378,918)(379,919)(380,920)(381,921)(382,922)(383,923)
(384,924)(385,925)(386,926)(387,927)(388,928)(389,929)(390,930)(391,931)
(392,932)(393,933)(394,934)(395,935)(396,936)(397,937)(398,938)(399,939)
(400,940)(401,941)(402,942)(403,943)(404,944)(405,945)(406,946)(407,947)
(408,948)(409,949)(410,950)(411,951)(412,952)(413,953)(414,954)(415,955)
(416,956)(417,957)(418,958)(419,959)(420,960)(421,841)(422,842)(423,843)
(424,844)(425,845)(426,846)(427,847)(428,848)(429,849)(430,850)(431,851)
(432,852)(433,853)(434,854)(435,855)(436,856)(437,857)(438,858)(439,859)
(440,860)(441,861)(442,862)(443,863)(444,864)(445,865)(446,866)(447,867)
(448,868)(449,869)(450,870)(451,871)(452,872)(453,873)(454,874)(455,875)
(456,876)(457,877)(458,878)(459,879)(460,880)(461,881)(462,882)(463,883)
(464,884)(465,885)(466,886)(467,887)(468,888)(469,889)(470,890)(471,891)
(472,892)(473,893)(474,894)(475,895)(476,896)(477,897)(478,898)(479,899)
(480,900);
s1 := Sym(960)!(  1,121)(  2,122)(  3,123)(  4,124)(  5,125)(  6,131)(  7,132)
(  8,133)(  9,134)( 10,135)( 11,126)( 12,127)( 13,128)( 14,129)( 15,130)
( 16,136)( 17,137)( 18,138)( 19,139)( 20,140)( 21,146)( 22,147)( 23,148)
( 24,149)( 25,150)( 26,141)( 27,142)( 28,143)( 29,144)( 30,145)( 31,151)
( 32,152)( 33,153)( 34,154)( 35,155)( 36,161)( 37,162)( 38,163)( 39,164)
( 40,165)( 41,156)( 42,157)( 43,158)( 44,159)( 45,160)( 46,166)( 47,167)
( 48,168)( 49,169)( 50,170)( 51,176)( 52,177)( 53,178)( 54,179)( 55,180)
( 56,171)( 57,172)( 58,173)( 59,174)( 60,175)( 61,196)( 62,197)( 63,198)
( 64,199)( 65,200)( 66,206)( 67,207)( 68,208)( 69,209)( 70,210)( 71,201)
( 72,202)( 73,203)( 74,204)( 75,205)( 76,181)( 77,182)( 78,183)( 79,184)
( 80,185)( 81,191)( 82,192)( 83,193)( 84,194)( 85,195)( 86,186)( 87,187)
( 88,188)( 89,189)( 90,190)( 91,226)( 92,227)( 93,228)( 94,229)( 95,230)
( 96,236)( 97,237)( 98,238)( 99,239)(100,240)(101,231)(102,232)(103,233)
(104,234)(105,235)(106,211)(107,212)(108,213)(109,214)(110,215)(111,221)
(112,222)(113,223)(114,224)(115,225)(116,216)(117,217)(118,218)(119,219)
(120,220)(241,361)(242,362)(243,363)(244,364)(245,365)(246,371)(247,372)
(248,373)(249,374)(250,375)(251,366)(252,367)(253,368)(254,369)(255,370)
(256,376)(257,377)(258,378)(259,379)(260,380)(261,386)(262,387)(263,388)
(264,389)(265,390)(266,381)(267,382)(268,383)(269,384)(270,385)(271,391)
(272,392)(273,393)(274,394)(275,395)(276,401)(277,402)(278,403)(279,404)
(280,405)(281,396)(282,397)(283,398)(284,399)(285,400)(286,406)(287,407)
(288,408)(289,409)(290,410)(291,416)(292,417)(293,418)(294,419)(295,420)
(296,411)(297,412)(298,413)(299,414)(300,415)(301,436)(302,437)(303,438)
(304,439)(305,440)(306,446)(307,447)(308,448)(309,449)(310,450)(311,441)
(312,442)(313,443)(314,444)(315,445)(316,421)(317,422)(318,423)(319,424)
(320,425)(321,431)(322,432)(323,433)(324,434)(325,435)(326,426)(327,427)
(328,428)(329,429)(330,430)(331,466)(332,467)(333,468)(334,469)(335,470)
(336,476)(337,477)(338,478)(339,479)(340,480)(341,471)(342,472)(343,473)
(344,474)(345,475)(346,451)(347,452)(348,453)(349,454)(350,455)(351,461)
(352,462)(353,463)(354,464)(355,465)(356,456)(357,457)(358,458)(359,459)
(360,460)(481,601)(482,602)(483,603)(484,604)(485,605)(486,611)(487,612)
(488,613)(489,614)(490,615)(491,606)(492,607)(493,608)(494,609)(495,610)
(496,616)(497,617)(498,618)(499,619)(500,620)(501,626)(502,627)(503,628)
(504,629)(505,630)(506,621)(507,622)(508,623)(509,624)(510,625)(511,631)
(512,632)(513,633)(514,634)(515,635)(516,641)(517,642)(518,643)(519,644)
(520,645)(521,636)(522,637)(523,638)(524,639)(525,640)(526,646)(527,647)
(528,648)(529,649)(530,650)(531,656)(532,657)(533,658)(534,659)(535,660)
(536,651)(537,652)(538,653)(539,654)(540,655)(541,676)(542,677)(543,678)
(544,679)(545,680)(546,686)(547,687)(548,688)(549,689)(550,690)(551,681)
(552,682)(553,683)(554,684)(555,685)(556,661)(557,662)(558,663)(559,664)
(560,665)(561,671)(562,672)(563,673)(564,674)(565,675)(566,666)(567,667)
(568,668)(569,669)(570,670)(571,706)(572,707)(573,708)(574,709)(575,710)
(576,716)(577,717)(578,718)(579,719)(580,720)(581,711)(582,712)(583,713)
(584,714)(585,715)(586,691)(587,692)(588,693)(589,694)(590,695)(591,701)
(592,702)(593,703)(594,704)(595,705)(596,696)(597,697)(598,698)(599,699)
(600,700)(721,841)(722,842)(723,843)(724,844)(725,845)(726,851)(727,852)
(728,853)(729,854)(730,855)(731,846)(732,847)(733,848)(734,849)(735,850)
(736,856)(737,857)(738,858)(739,859)(740,860)(741,866)(742,867)(743,868)
(744,869)(745,870)(746,861)(747,862)(748,863)(749,864)(750,865)(751,871)
(752,872)(753,873)(754,874)(755,875)(756,881)(757,882)(758,883)(759,884)
(760,885)(761,876)(762,877)(763,878)(764,879)(765,880)(766,886)(767,887)
(768,888)(769,889)(770,890)(771,896)(772,897)(773,898)(774,899)(775,900)
(776,891)(777,892)(778,893)(779,894)(780,895)(781,916)(782,917)(783,918)
(784,919)(785,920)(786,926)(787,927)(788,928)(789,929)(790,930)(791,921)
(792,922)(793,923)(794,924)(795,925)(796,901)(797,902)(798,903)(799,904)
(800,905)(801,911)(802,912)(803,913)(804,914)(805,915)(806,906)(807,907)
(808,908)(809,909)(810,910)(811,946)(812,947)(813,948)(814,949)(815,950)
(816,956)(817,957)(818,958)(819,959)(820,960)(821,951)(822,952)(823,953)
(824,954)(825,955)(826,931)(827,932)(828,933)(829,934)(830,935)(831,941)
(832,942)(833,943)(834,944)(835,945)(836,936)(837,937)(838,938)(839,939)
(840,940);
s2 := Sym(960)!(  1,186)(  2,190)(  3,189)(  4,188)(  5,187)(  6,181)(  7,185)
(  8,184)(  9,183)( 10,182)( 11,191)( 12,195)( 13,194)( 14,193)( 15,192)
( 16,201)( 17,205)( 18,204)( 19,203)( 20,202)( 21,196)( 22,200)( 23,199)
( 24,198)( 25,197)( 26,206)( 27,210)( 28,209)( 29,208)( 30,207)( 31,216)
( 32,220)( 33,219)( 34,218)( 35,217)( 36,211)( 37,215)( 38,214)( 39,213)
( 40,212)( 41,221)( 42,225)( 43,224)( 44,223)( 45,222)( 46,231)( 47,235)
( 48,234)( 49,233)( 50,232)( 51,226)( 52,230)( 53,229)( 54,228)( 55,227)
( 56,236)( 57,240)( 58,239)( 59,238)( 60,237)( 61,141)( 62,145)( 63,144)
( 64,143)( 65,142)( 66,136)( 67,140)( 68,139)( 69,138)( 70,137)( 71,146)
( 72,150)( 73,149)( 74,148)( 75,147)( 76,126)( 77,130)( 78,129)( 79,128)
( 80,127)( 81,121)( 82,125)( 83,124)( 84,123)( 85,122)( 86,131)( 87,135)
( 88,134)( 89,133)( 90,132)( 91,171)( 92,175)( 93,174)( 94,173)( 95,172)
( 96,166)( 97,170)( 98,169)( 99,168)(100,167)(101,176)(102,180)(103,179)
(104,178)(105,177)(106,156)(107,160)(108,159)(109,158)(110,157)(111,151)
(112,155)(113,154)(114,153)(115,152)(116,161)(117,165)(118,164)(119,163)
(120,162)(241,456)(242,460)(243,459)(244,458)(245,457)(246,451)(247,455)
(248,454)(249,453)(250,452)(251,461)(252,465)(253,464)(254,463)(255,462)
(256,471)(257,475)(258,474)(259,473)(260,472)(261,466)(262,470)(263,469)
(264,468)(265,467)(266,476)(267,480)(268,479)(269,478)(270,477)(271,426)
(272,430)(273,429)(274,428)(275,427)(276,421)(277,425)(278,424)(279,423)
(280,422)(281,431)(282,435)(283,434)(284,433)(285,432)(286,441)(287,445)
(288,444)(289,443)(290,442)(291,436)(292,440)(293,439)(294,438)(295,437)
(296,446)(297,450)(298,449)(299,448)(300,447)(301,411)(302,415)(303,414)
(304,413)(305,412)(306,406)(307,410)(308,409)(309,408)(310,407)(311,416)
(312,420)(313,419)(314,418)(315,417)(316,396)(317,400)(318,399)(319,398)
(320,397)(321,391)(322,395)(323,394)(324,393)(325,392)(326,401)(327,405)
(328,404)(329,403)(330,402)(331,381)(332,385)(333,384)(334,383)(335,382)
(336,376)(337,380)(338,379)(339,378)(340,377)(341,386)(342,390)(343,389)
(344,388)(345,387)(346,366)(347,370)(348,369)(349,368)(350,367)(351,361)
(352,365)(353,364)(354,363)(355,362)(356,371)(357,375)(358,374)(359,373)
(360,372)(481,606)(482,610)(483,609)(484,608)(485,607)(486,601)(487,605)
(488,604)(489,603)(490,602)(491,611)(492,615)(493,614)(494,613)(495,612)
(496,621)(497,625)(498,624)(499,623)(500,622)(501,616)(502,620)(503,619)
(504,618)(505,617)(506,626)(507,630)(508,629)(509,628)(510,627)(511,636)
(512,640)(513,639)(514,638)(515,637)(516,631)(517,635)(518,634)(519,633)
(520,632)(521,641)(522,645)(523,644)(524,643)(525,642)(526,651)(527,655)
(528,654)(529,653)(530,652)(531,646)(532,650)(533,649)(534,648)(535,647)
(536,656)(537,660)(538,659)(539,658)(540,657)(541,666)(542,670)(543,669)
(544,668)(545,667)(546,661)(547,665)(548,664)(549,663)(550,662)(551,671)
(552,675)(553,674)(554,673)(555,672)(556,681)(557,685)(558,684)(559,683)
(560,682)(561,676)(562,680)(563,679)(564,678)(565,677)(566,686)(567,690)
(568,689)(569,688)(570,687)(571,696)(572,700)(573,699)(574,698)(575,697)
(576,691)(577,695)(578,694)(579,693)(580,692)(581,701)(582,705)(583,704)
(584,703)(585,702)(586,711)(587,715)(588,714)(589,713)(590,712)(591,706)
(592,710)(593,709)(594,708)(595,707)(596,716)(597,720)(598,719)(599,718)
(600,717)(721,876)(722,880)(723,879)(724,878)(725,877)(726,871)(727,875)
(728,874)(729,873)(730,872)(731,881)(732,885)(733,884)(734,883)(735,882)
(736,891)(737,895)(738,894)(739,893)(740,892)(741,886)(742,890)(743,889)
(744,888)(745,887)(746,896)(747,900)(748,899)(749,898)(750,897)(751,846)
(752,850)(753,849)(754,848)(755,847)(756,841)(757,845)(758,844)(759,843)
(760,842)(761,851)(762,855)(763,854)(764,853)(765,852)(766,861)(767,865)
(768,864)(769,863)(770,862)(771,856)(772,860)(773,859)(774,858)(775,857)
(776,866)(777,870)(778,869)(779,868)(780,867)(781,936)(782,940)(783,939)
(784,938)(785,937)(786,931)(787,935)(788,934)(789,933)(790,932)(791,941)
(792,945)(793,944)(794,943)(795,942)(796,951)(797,955)(798,954)(799,953)
(800,952)(801,946)(802,950)(803,949)(804,948)(805,947)(806,956)(807,960)
(808,959)(809,958)(810,957)(811,906)(812,910)(813,909)(814,908)(815,907)
(816,901)(817,905)(818,904)(819,903)(820,902)(821,911)(822,915)(823,914)
(824,913)(825,912)(826,921)(827,925)(828,924)(829,923)(830,922)(831,916)
(832,920)(833,919)(834,918)(835,917)(836,926)(837,930)(838,929)(839,928)
(840,927);
s3 := Sym(960)!(  1,242)(  2,241)(  3,245)(  4,244)(  5,243)(  6,247)(  7,246)
(  8,250)(  9,249)( 10,248)( 11,252)( 12,251)( 13,255)( 14,254)( 15,253)
( 16,257)( 17,256)( 18,260)( 19,259)( 20,258)( 21,262)( 22,261)( 23,265)
( 24,264)( 25,263)( 26,267)( 27,266)( 28,270)( 29,269)( 30,268)( 31,272)
( 32,271)( 33,275)( 34,274)( 35,273)( 36,277)( 37,276)( 38,280)( 39,279)
( 40,278)( 41,282)( 42,281)( 43,285)( 44,284)( 45,283)( 46,287)( 47,286)
( 48,290)( 49,289)( 50,288)( 51,292)( 52,291)( 53,295)( 54,294)( 55,293)
( 56,297)( 57,296)( 58,300)( 59,299)( 60,298)( 61,302)( 62,301)( 63,305)
( 64,304)( 65,303)( 66,307)( 67,306)( 68,310)( 69,309)( 70,308)( 71,312)
( 72,311)( 73,315)( 74,314)( 75,313)( 76,317)( 77,316)( 78,320)( 79,319)
( 80,318)( 81,322)( 82,321)( 83,325)( 84,324)( 85,323)( 86,327)( 87,326)
( 88,330)( 89,329)( 90,328)( 91,332)( 92,331)( 93,335)( 94,334)( 95,333)
( 96,337)( 97,336)( 98,340)( 99,339)(100,338)(101,342)(102,341)(103,345)
(104,344)(105,343)(106,347)(107,346)(108,350)(109,349)(110,348)(111,352)
(112,351)(113,355)(114,354)(115,353)(116,357)(117,356)(118,360)(119,359)
(120,358)(121,362)(122,361)(123,365)(124,364)(125,363)(126,367)(127,366)
(128,370)(129,369)(130,368)(131,372)(132,371)(133,375)(134,374)(135,373)
(136,377)(137,376)(138,380)(139,379)(140,378)(141,382)(142,381)(143,385)
(144,384)(145,383)(146,387)(147,386)(148,390)(149,389)(150,388)(151,392)
(152,391)(153,395)(154,394)(155,393)(156,397)(157,396)(158,400)(159,399)
(160,398)(161,402)(162,401)(163,405)(164,404)(165,403)(166,407)(167,406)
(168,410)(169,409)(170,408)(171,412)(172,411)(173,415)(174,414)(175,413)
(176,417)(177,416)(178,420)(179,419)(180,418)(181,422)(182,421)(183,425)
(184,424)(185,423)(186,427)(187,426)(188,430)(189,429)(190,428)(191,432)
(192,431)(193,435)(194,434)(195,433)(196,437)(197,436)(198,440)(199,439)
(200,438)(201,442)(202,441)(203,445)(204,444)(205,443)(206,447)(207,446)
(208,450)(209,449)(210,448)(211,452)(212,451)(213,455)(214,454)(215,453)
(216,457)(217,456)(218,460)(219,459)(220,458)(221,462)(222,461)(223,465)
(224,464)(225,463)(226,467)(227,466)(228,470)(229,469)(230,468)(231,472)
(232,471)(233,475)(234,474)(235,473)(236,477)(237,476)(238,480)(239,479)
(240,478)(481,722)(482,721)(483,725)(484,724)(485,723)(486,727)(487,726)
(488,730)(489,729)(490,728)(491,732)(492,731)(493,735)(494,734)(495,733)
(496,737)(497,736)(498,740)(499,739)(500,738)(501,742)(502,741)(503,745)
(504,744)(505,743)(506,747)(507,746)(508,750)(509,749)(510,748)(511,752)
(512,751)(513,755)(514,754)(515,753)(516,757)(517,756)(518,760)(519,759)
(520,758)(521,762)(522,761)(523,765)(524,764)(525,763)(526,767)(527,766)
(528,770)(529,769)(530,768)(531,772)(532,771)(533,775)(534,774)(535,773)
(536,777)(537,776)(538,780)(539,779)(540,778)(541,782)(542,781)(543,785)
(544,784)(545,783)(546,787)(547,786)(548,790)(549,789)(550,788)(551,792)
(552,791)(553,795)(554,794)(555,793)(556,797)(557,796)(558,800)(559,799)
(560,798)(561,802)(562,801)(563,805)(564,804)(565,803)(566,807)(567,806)
(568,810)(569,809)(570,808)(571,812)(572,811)(573,815)(574,814)(575,813)
(576,817)(577,816)(578,820)(579,819)(580,818)(581,822)(582,821)(583,825)
(584,824)(585,823)(586,827)(587,826)(588,830)(589,829)(590,828)(591,832)
(592,831)(593,835)(594,834)(595,833)(596,837)(597,836)(598,840)(599,839)
(600,838)(601,842)(602,841)(603,845)(604,844)(605,843)(606,847)(607,846)
(608,850)(609,849)(610,848)(611,852)(612,851)(613,855)(614,854)(615,853)
(616,857)(617,856)(618,860)(619,859)(620,858)(621,862)(622,861)(623,865)
(624,864)(625,863)(626,867)(627,866)(628,870)(629,869)(630,868)(631,872)
(632,871)(633,875)(634,874)(635,873)(636,877)(637,876)(638,880)(639,879)
(640,878)(641,882)(642,881)(643,885)(644,884)(645,883)(646,887)(647,886)
(648,890)(649,889)(650,888)(651,892)(652,891)(653,895)(654,894)(655,893)
(656,897)(657,896)(658,900)(659,899)(660,898)(661,902)(662,901)(663,905)
(664,904)(665,903)(666,907)(667,906)(668,910)(669,909)(670,908)(671,912)
(672,911)(673,915)(674,914)(675,913)(676,917)(677,916)(678,920)(679,919)
(680,918)(681,922)(682,921)(683,925)(684,924)(685,923)(686,927)(687,926)
(688,930)(689,929)(690,928)(691,932)(692,931)(693,935)(694,934)(695,933)
(696,937)(697,936)(698,940)(699,939)(700,938)(701,942)(702,941)(703,945)
(704,944)(705,943)(706,947)(707,946)(708,950)(709,949)(710,948)(711,952)
(712,951)(713,955)(714,954)(715,953)(716,957)(717,956)(718,960)(719,959)
(720,958);
poly := sub<Sym(960)|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*s2*s1*s0*s1*s2*s1, s1*s2*s3*s2*s1*s2*s3*s2, 
s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2, 
s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1, 
s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3 >; 
 
References : None.
to this polytope