Polytope of Type {4,60,4}
This page is part of the Atlas of Small Regular Polytopes
Atlas Canonical Name : {4,60,4}*1920a
Also Known As : {{4,60|2},{60,4|2}}. if this polytope has another name.
Group : SmallGroup(1920,58471)
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
Orientable
Flat
Self-Dual
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}*960a, {4,60,2}*960a, {4,30,4}*960a
3-fold quotients : {4,20,4}*640
4-fold quotients : {2,60,2}*480, {2,30,4}*480a, {4,30,2}*480a
5-fold quotients : {4,12,4}*384a
6-fold quotients : {2,20,4}*320, {4,20,2}*320, {4,10,4}*320
8-fold quotients : {2,30,2}*240
10-fold quotients : {2,12,4}*192a, {4,12,2}*192a, {4,6,4}*192a
12-fold quotients : {2,20,2}*160, {2,10,4}*160, {4,10,2}*160
15-fold quotients : {4,4,4}*128
16-fold quotients : {2,15,2}*120
20-fold quotients : {2,12,2}*96, {2,6,4}*96a, {4,6,2}*96a
24-fold quotients : {2,10,2}*80
30-fold quotients : {2,4,4}*64, {4,4,2}*64, {4,2,4}*64
40-fold quotients : {2,6,2}*48
48-fold quotients : {2,5,2}*40
60-fold quotients : {2,2,4}*32, {2,4,2}*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 := ( 1,121)( 2,122)( 3,123)( 4,124)( 5,125)( 6,126)( 7,127)( 8,128)
( 9,129)( 10,130)( 11,131)( 12,132)( 13,133)( 14,134)( 15,135)( 16,136)
( 17,137)( 18,138)( 19,139)( 20,140)( 21,141)( 22,142)( 23,143)( 24,144)
( 25,145)( 26,146)( 27,147)( 28,148)( 29,149)( 30,150)( 31,151)( 32,152)
( 33,153)( 34,154)( 35,155)( 36,156)( 37,157)( 38,158)( 39,159)( 40,160)
( 41,161)( 42,162)( 43,163)( 44,164)( 45,165)( 46,166)( 47,167)( 48,168)
( 49,169)( 50,170)( 51,171)( 52,172)( 53,173)( 54,174)( 55,175)( 56,176)
( 57,177)( 58,178)( 59,179)( 60,180)( 61,181)( 62,182)( 63,183)( 64,184)
( 65,185)( 66,186)( 67,187)( 68,188)( 69,189)( 70,190)( 71,191)( 72,192)
( 73,193)( 74,194)( 75,195)( 76,196)( 77,197)( 78,198)( 79,199)( 80,200)
( 81,201)( 82,202)( 83,203)( 84,204)( 85,205)( 86,206)( 87,207)( 88,208)
( 89,209)( 90,210)( 91,211)( 92,212)( 93,213)( 94,214)( 95,215)( 96,216)
( 97,217)( 98,218)( 99,219)(100,220)(101,221)(102,222)(103,223)(104,224)
(105,225)(106,226)(107,227)(108,228)(109,229)(110,230)(111,231)(112,232)
(113,233)(114,234)(115,235)(116,236)(117,237)(118,238)(119,239)(120,240)
(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)
(481,601)(482,602)(483,603)(484,604)(485,605)(486,606)(487,607)(488,608)
(489,609)(490,610)(491,611)(492,612)(493,613)(494,614)(495,615)(496,616)
(497,617)(498,618)(499,619)(500,620)(501,621)(502,622)(503,623)(504,624)
(505,625)(506,626)(507,627)(508,628)(509,629)(510,630)(511,631)(512,632)
(513,633)(514,634)(515,635)(516,636)(517,637)(518,638)(519,639)(520,640)
(521,641)(522,642)(523,643)(524,644)(525,645)(526,646)(527,647)(528,648)
(529,649)(530,650)(531,651)(532,652)(533,653)(534,654)(535,655)(536,656)
(537,657)(538,658)(539,659)(540,660)(541,661)(542,662)(543,663)(544,664)
(545,665)(546,666)(547,667)(548,668)(549,669)(550,670)(551,671)(552,672)
(553,673)(554,674)(555,675)(556,676)(557,677)(558,678)(559,679)(560,680)
(561,681)(562,682)(563,683)(564,684)(565,685)(566,686)(567,687)(568,688)
(569,689)(570,690)(571,691)(572,692)(573,693)(574,694)(575,695)(576,696)
(577,697)(578,698)(579,699)(580,700)(581,701)(582,702)(583,703)(584,704)
(585,705)(586,706)(587,707)(588,708)(589,709)(590,710)(591,711)(592,712)
(593,713)(594,714)(595,715)(596,716)(597,717)(598,718)(599,719)(600,720)
(721,841)(722,842)(723,843)(724,844)(725,845)(726,846)(727,847)(728,848)
(729,849)(730,850)(731,851)(732,852)(733,853)(734,854)(735,855)(736,856)
(737,857)(738,858)(739,859)(740,860)(741,861)(742,862)(743,863)(744,864)
(745,865)(746,866)(747,867)(748,868)(749,869)(750,870)(751,871)(752,872)
(753,873)(754,874)(755,875)(756,876)(757,877)(758,878)(759,879)(760,880)
(761,881)(762,882)(763,883)(764,884)(765,885)(766,886)(767,887)(768,888)
(769,889)(770,890)(771,891)(772,892)(773,893)(774,894)(775,895)(776,896)
(777,897)(778,898)(779,899)(780,900)(781,901)(782,902)(783,903)(784,904)
(785,905)(786,906)(787,907)(788,908)(789,909)(790,910)(791,911)(792,912)
(793,913)(794,914)(795,915)(796,916)(797,917)(798,918)(799,919)(800,920)
(801,921)(802,922)(803,923)(804,924)(805,925)(806,926)(807,927)(808,928)
(809,929)(810,930)(811,931)(812,932)(813,933)(814,934)(815,935)(816,936)
(817,937)(818,938)(819,939)(820,940)(821,941)(822,942)(823,943)(824,944)
(825,945)(826,946)(827,947)(828,948)(829,949)(830,950)(831,951)(832,952)
(833,953)(834,954)(835,955)(836,956)(837,957)(838,958)(839,959)(840,960);;
s1 := ( 2, 5)( 3, 4)( 6, 11)( 7, 15)( 8, 14)( 9, 13)( 10, 12)( 17, 20)
( 18, 19)( 21, 26)( 22, 30)( 23, 29)( 24, 28)( 25, 27)( 32, 35)( 33, 34)
( 36, 41)( 37, 45)( 38, 44)( 39, 43)( 40, 42)( 47, 50)( 48, 49)( 51, 56)
( 52, 60)( 53, 59)( 54, 58)( 55, 57)( 62, 65)( 63, 64)( 66, 71)( 67, 75)
( 68, 74)( 69, 73)( 70, 72)( 77, 80)( 78, 79)( 81, 86)( 82, 90)( 83, 89)
( 84, 88)( 85, 87)( 92, 95)( 93, 94)( 96,101)( 97,105)( 98,104)( 99,103)
(100,102)(107,110)(108,109)(111,116)(112,120)(113,119)(114,118)(115,117)
(121,181)(122,185)(123,184)(124,183)(125,182)(126,191)(127,195)(128,194)
(129,193)(130,192)(131,186)(132,190)(133,189)(134,188)(135,187)(136,196)
(137,200)(138,199)(139,198)(140,197)(141,206)(142,210)(143,209)(144,208)
(145,207)(146,201)(147,205)(148,204)(149,203)(150,202)(151,211)(152,215)
(153,214)(154,213)(155,212)(156,221)(157,225)(158,224)(159,223)(160,222)
(161,216)(162,220)(163,219)(164,218)(165,217)(166,226)(167,230)(168,229)
(169,228)(170,227)(171,236)(172,240)(173,239)(174,238)(175,237)(176,231)
(177,235)(178,234)(179,233)(180,232)(241,271)(242,275)(243,274)(244,273)
(245,272)(246,281)(247,285)(248,284)(249,283)(250,282)(251,276)(252,280)
(253,279)(254,278)(255,277)(256,286)(257,290)(258,289)(259,288)(260,287)
(261,296)(262,300)(263,299)(264,298)(265,297)(266,291)(267,295)(268,294)
(269,293)(270,292)(301,331)(302,335)(303,334)(304,333)(305,332)(306,341)
(307,345)(308,344)(309,343)(310,342)(311,336)(312,340)(313,339)(314,338)
(315,337)(316,346)(317,350)(318,349)(319,348)(320,347)(321,356)(322,360)
(323,359)(324,358)(325,357)(326,351)(327,355)(328,354)(329,353)(330,352)
(361,451)(362,455)(363,454)(364,453)(365,452)(366,461)(367,465)(368,464)
(369,463)(370,462)(371,456)(372,460)(373,459)(374,458)(375,457)(376,466)
(377,470)(378,469)(379,468)(380,467)(381,476)(382,480)(383,479)(384,478)
(385,477)(386,471)(387,475)(388,474)(389,473)(390,472)(391,421)(392,425)
(393,424)(394,423)(395,422)(396,431)(397,435)(398,434)(399,433)(400,432)
(401,426)(402,430)(403,429)(404,428)(405,427)(406,436)(407,440)(408,439)
(409,438)(410,437)(411,446)(412,450)(413,449)(414,448)(415,447)(416,441)
(417,445)(418,444)(419,443)(420,442)(481,541)(482,545)(483,544)(484,543)
(485,542)(486,551)(487,555)(488,554)(489,553)(490,552)(491,546)(492,550)
(493,549)(494,548)(495,547)(496,556)(497,560)(498,559)(499,558)(500,557)
(501,566)(502,570)(503,569)(504,568)(505,567)(506,561)(507,565)(508,564)
(509,563)(510,562)(511,571)(512,575)(513,574)(514,573)(515,572)(516,581)
(517,585)(518,584)(519,583)(520,582)(521,576)(522,580)(523,579)(524,578)
(525,577)(526,586)(527,590)(528,589)(529,588)(530,587)(531,596)(532,600)
(533,599)(534,598)(535,597)(536,591)(537,595)(538,594)(539,593)(540,592)
(602,605)(603,604)(606,611)(607,615)(608,614)(609,613)(610,612)(617,620)
(618,619)(621,626)(622,630)(623,629)(624,628)(625,627)(632,635)(633,634)
(636,641)(637,645)(638,644)(639,643)(640,642)(647,650)(648,649)(651,656)
(652,660)(653,659)(654,658)(655,657)(662,665)(663,664)(666,671)(667,675)
(668,674)(669,673)(670,672)(677,680)(678,679)(681,686)(682,690)(683,689)
(684,688)(685,687)(692,695)(693,694)(696,701)(697,705)(698,704)(699,703)
(700,702)(707,710)(708,709)(711,716)(712,720)(713,719)(714,718)(715,717)
(721,811)(722,815)(723,814)(724,813)(725,812)(726,821)(727,825)(728,824)
(729,823)(730,822)(731,816)(732,820)(733,819)(734,818)(735,817)(736,826)
(737,830)(738,829)(739,828)(740,827)(741,836)(742,840)(743,839)(744,838)
(745,837)(746,831)(747,835)(748,834)(749,833)(750,832)(751,781)(752,785)
(753,784)(754,783)(755,782)(756,791)(757,795)(758,794)(759,793)(760,792)
(761,786)(762,790)(763,789)(764,788)(765,787)(766,796)(767,800)(768,799)
(769,798)(770,797)(771,806)(772,810)(773,809)(774,808)(775,807)(776,801)
(777,805)(778,804)(779,803)(780,802)(841,871)(842,875)(843,874)(844,873)
(845,872)(846,881)(847,885)(848,884)(849,883)(850,882)(851,876)(852,880)
(853,879)(854,878)(855,877)(856,886)(857,890)(858,889)(859,888)(860,887)
(861,896)(862,900)(863,899)(864,898)(865,897)(866,891)(867,895)(868,894)
(869,893)(870,892)(901,931)(902,935)(903,934)(904,933)(905,932)(906,941)
(907,945)(908,944)(909,943)(910,942)(911,936)(912,940)(913,939)(914,938)
(915,937)(916,946)(917,950)(918,949)(919,948)(920,947)(921,956)(922,960)
(923,959)(924,958)(925,957)(926,951)(927,955)(928,954)(929,953)(930,952);;
s2 := ( 1,247)( 2,246)( 3,250)( 4,249)( 5,248)( 6,242)( 7,241)( 8,245)
( 9,244)( 10,243)( 11,252)( 12,251)( 13,255)( 14,254)( 15,253)( 16,262)
( 17,261)( 18,265)( 19,264)( 20,263)( 21,257)( 22,256)( 23,260)( 24,259)
( 25,258)( 26,267)( 27,266)( 28,270)( 29,269)( 30,268)( 31,277)( 32,276)
( 33,280)( 34,279)( 35,278)( 36,272)( 37,271)( 38,275)( 39,274)( 40,273)
( 41,282)( 42,281)( 43,285)( 44,284)( 45,283)( 46,292)( 47,291)( 48,295)
( 49,294)( 50,293)( 51,287)( 52,286)( 53,290)( 54,289)( 55,288)( 56,297)
( 57,296)( 58,300)( 59,299)( 60,298)( 61,307)( 62,306)( 63,310)( 64,309)
( 65,308)( 66,302)( 67,301)( 68,305)( 69,304)( 70,303)( 71,312)( 72,311)
( 73,315)( 74,314)( 75,313)( 76,322)( 77,321)( 78,325)( 79,324)( 80,323)
( 81,317)( 82,316)( 83,320)( 84,319)( 85,318)( 86,327)( 87,326)( 88,330)
( 89,329)( 90,328)( 91,337)( 92,336)( 93,340)( 94,339)( 95,338)( 96,332)
( 97,331)( 98,335)( 99,334)(100,333)(101,342)(102,341)(103,345)(104,344)
(105,343)(106,352)(107,351)(108,355)(109,354)(110,353)(111,347)(112,346)
(113,350)(114,349)(115,348)(116,357)(117,356)(118,360)(119,359)(120,358)
(121,367)(122,366)(123,370)(124,369)(125,368)(126,362)(127,361)(128,365)
(129,364)(130,363)(131,372)(132,371)(133,375)(134,374)(135,373)(136,382)
(137,381)(138,385)(139,384)(140,383)(141,377)(142,376)(143,380)(144,379)
(145,378)(146,387)(147,386)(148,390)(149,389)(150,388)(151,397)(152,396)
(153,400)(154,399)(155,398)(156,392)(157,391)(158,395)(159,394)(160,393)
(161,402)(162,401)(163,405)(164,404)(165,403)(166,412)(167,411)(168,415)
(169,414)(170,413)(171,407)(172,406)(173,410)(174,409)(175,408)(176,417)
(177,416)(178,420)(179,419)(180,418)(181,427)(182,426)(183,430)(184,429)
(185,428)(186,422)(187,421)(188,425)(189,424)(190,423)(191,432)(192,431)
(193,435)(194,434)(195,433)(196,442)(197,441)(198,445)(199,444)(200,443)
(201,437)(202,436)(203,440)(204,439)(205,438)(206,447)(207,446)(208,450)
(209,449)(210,448)(211,457)(212,456)(213,460)(214,459)(215,458)(216,452)
(217,451)(218,455)(219,454)(220,453)(221,462)(222,461)(223,465)(224,464)
(225,463)(226,472)(227,471)(228,475)(229,474)(230,473)(231,467)(232,466)
(233,470)(234,469)(235,468)(236,477)(237,476)(238,480)(239,479)(240,478)
(481,727)(482,726)(483,730)(484,729)(485,728)(486,722)(487,721)(488,725)
(489,724)(490,723)(491,732)(492,731)(493,735)(494,734)(495,733)(496,742)
(497,741)(498,745)(499,744)(500,743)(501,737)(502,736)(503,740)(504,739)
(505,738)(506,747)(507,746)(508,750)(509,749)(510,748)(511,757)(512,756)
(513,760)(514,759)(515,758)(516,752)(517,751)(518,755)(519,754)(520,753)
(521,762)(522,761)(523,765)(524,764)(525,763)(526,772)(527,771)(528,775)
(529,774)(530,773)(531,767)(532,766)(533,770)(534,769)(535,768)(536,777)
(537,776)(538,780)(539,779)(540,778)(541,787)(542,786)(543,790)(544,789)
(545,788)(546,782)(547,781)(548,785)(549,784)(550,783)(551,792)(552,791)
(553,795)(554,794)(555,793)(556,802)(557,801)(558,805)(559,804)(560,803)
(561,797)(562,796)(563,800)(564,799)(565,798)(566,807)(567,806)(568,810)
(569,809)(570,808)(571,817)(572,816)(573,820)(574,819)(575,818)(576,812)
(577,811)(578,815)(579,814)(580,813)(581,822)(582,821)(583,825)(584,824)
(585,823)(586,832)(587,831)(588,835)(589,834)(590,833)(591,827)(592,826)
(593,830)(594,829)(595,828)(596,837)(597,836)(598,840)(599,839)(600,838)
(601,847)(602,846)(603,850)(604,849)(605,848)(606,842)(607,841)(608,845)
(609,844)(610,843)(611,852)(612,851)(613,855)(614,854)(615,853)(616,862)
(617,861)(618,865)(619,864)(620,863)(621,857)(622,856)(623,860)(624,859)
(625,858)(626,867)(627,866)(628,870)(629,869)(630,868)(631,877)(632,876)
(633,880)(634,879)(635,878)(636,872)(637,871)(638,875)(639,874)(640,873)
(641,882)(642,881)(643,885)(644,884)(645,883)(646,892)(647,891)(648,895)
(649,894)(650,893)(651,887)(652,886)(653,890)(654,889)(655,888)(656,897)
(657,896)(658,900)(659,899)(660,898)(661,907)(662,906)(663,910)(664,909)
(665,908)(666,902)(667,901)(668,905)(669,904)(670,903)(671,912)(672,911)
(673,915)(674,914)(675,913)(676,922)(677,921)(678,925)(679,924)(680,923)
(681,917)(682,916)(683,920)(684,919)(685,918)(686,927)(687,926)(688,930)
(689,929)(690,928)(691,937)(692,936)(693,940)(694,939)(695,938)(696,932)
(697,931)(698,935)(699,934)(700,933)(701,942)(702,941)(703,945)(704,944)
(705,943)(706,952)(707,951)(708,955)(709,954)(710,953)(711,947)(712,946)
(713,950)(714,949)(715,948)(716,957)(717,956)(718,960)(719,959)(720,958);;
s3 := ( 1,601)( 2,602)( 3,603)( 4,604)( 5,605)( 6,606)( 7,607)( 8,608)
( 9,609)( 10,610)( 11,611)( 12,612)( 13,613)( 14,614)( 15,615)( 16,616)
( 17,617)( 18,618)( 19,619)( 20,620)( 21,621)( 22,622)( 23,623)( 24,624)
( 25,625)( 26,626)( 27,627)( 28,628)( 29,629)( 30,630)( 31,631)( 32,632)
( 33,633)( 34,634)( 35,635)( 36,636)( 37,637)( 38,638)( 39,639)( 40,640)
( 41,641)( 42,642)( 43,643)( 44,644)( 45,645)( 46,646)( 47,647)( 48,648)
( 49,649)( 50,650)( 51,651)( 52,652)( 53,653)( 54,654)( 55,655)( 56,656)
( 57,657)( 58,658)( 59,659)( 60,660)( 61,661)( 62,662)( 63,663)( 64,664)
( 65,665)( 66,666)( 67,667)( 68,668)( 69,669)( 70,670)( 71,671)( 72,672)
( 73,673)( 74,674)( 75,675)( 76,676)( 77,677)( 78,678)( 79,679)( 80,680)
( 81,681)( 82,682)( 83,683)( 84,684)( 85,685)( 86,686)( 87,687)( 88,688)
( 89,689)( 90,690)( 91,691)( 92,692)( 93,693)( 94,694)( 95,695)( 96,696)
( 97,697)( 98,698)( 99,699)(100,700)(101,701)(102,702)(103,703)(104,704)
(105,705)(106,706)(107,707)(108,708)(109,709)(110,710)(111,711)(112,712)
(113,713)(114,714)(115,715)(116,716)(117,717)(118,718)(119,719)(120,720)
(121,481)(122,482)(123,483)(124,484)(125,485)(126,486)(127,487)(128,488)
(129,489)(130,490)(131,491)(132,492)(133,493)(134,494)(135,495)(136,496)
(137,497)(138,498)(139,499)(140,500)(141,501)(142,502)(143,503)(144,504)
(145,505)(146,506)(147,507)(148,508)(149,509)(150,510)(151,511)(152,512)
(153,513)(154,514)(155,515)(156,516)(157,517)(158,518)(159,519)(160,520)
(161,521)(162,522)(163,523)(164,524)(165,525)(166,526)(167,527)(168,528)
(169,529)(170,530)(171,531)(172,532)(173,533)(174,534)(175,535)(176,536)
(177,537)(178,538)(179,539)(180,540)(181,541)(182,542)(183,543)(184,544)
(185,545)(186,546)(187,547)(188,548)(189,549)(190,550)(191,551)(192,552)
(193,553)(194,554)(195,555)(196,556)(197,557)(198,558)(199,559)(200,560)
(201,561)(202,562)(203,563)(204,564)(205,565)(206,566)(207,567)(208,568)
(209,569)(210,570)(211,571)(212,572)(213,573)(214,574)(215,575)(216,576)
(217,577)(218,578)(219,579)(220,580)(221,581)(222,582)(223,583)(224,584)
(225,585)(226,586)(227,587)(228,588)(229,589)(230,590)(231,591)(232,592)
(233,593)(234,594)(235,595)(236,596)(237,597)(238,598)(239,599)(240,600)
(241,856)(242,857)(243,858)(244,859)(245,860)(246,861)(247,862)(248,863)
(249,864)(250,865)(251,866)(252,867)(253,868)(254,869)(255,870)(256,841)
(257,842)(258,843)(259,844)(260,845)(261,846)(262,847)(263,848)(264,849)
(265,850)(266,851)(267,852)(268,853)(269,854)(270,855)(271,886)(272,887)
(273,888)(274,889)(275,890)(276,891)(277,892)(278,893)(279,894)(280,895)
(281,896)(282,897)(283,898)(284,899)(285,900)(286,871)(287,872)(288,873)
(289,874)(290,875)(291,876)(292,877)(293,878)(294,879)(295,880)(296,881)
(297,882)(298,883)(299,884)(300,885)(301,916)(302,917)(303,918)(304,919)
(305,920)(306,921)(307,922)(308,923)(309,924)(310,925)(311,926)(312,927)
(313,928)(314,929)(315,930)(316,901)(317,902)(318,903)(319,904)(320,905)
(321,906)(322,907)(323,908)(324,909)(325,910)(326,911)(327,912)(328,913)
(329,914)(330,915)(331,946)(332,947)(333,948)(334,949)(335,950)(336,951)
(337,952)(338,953)(339,954)(340,955)(341,956)(342,957)(343,958)(344,959)
(345,960)(346,931)(347,932)(348,933)(349,934)(350,935)(351,936)(352,937)
(353,938)(354,939)(355,940)(356,941)(357,942)(358,943)(359,944)(360,945)
(361,736)(362,737)(363,738)(364,739)(365,740)(366,741)(367,742)(368,743)
(369,744)(370,745)(371,746)(372,747)(373,748)(374,749)(375,750)(376,721)
(377,722)(378,723)(379,724)(380,725)(381,726)(382,727)(383,728)(384,729)
(385,730)(386,731)(387,732)(388,733)(389,734)(390,735)(391,766)(392,767)
(393,768)(394,769)(395,770)(396,771)(397,772)(398,773)(399,774)(400,775)
(401,776)(402,777)(403,778)(404,779)(405,780)(406,751)(407,752)(408,753)
(409,754)(410,755)(411,756)(412,757)(413,758)(414,759)(415,760)(416,761)
(417,762)(418,763)(419,764)(420,765)(421,796)(422,797)(423,798)(424,799)
(425,800)(426,801)(427,802)(428,803)(429,804)(430,805)(431,806)(432,807)
(433,808)(434,809)(435,810)(436,781)(437,782)(438,783)(439,784)(440,785)
(441,786)(442,787)(443,788)(444,789)(445,790)(446,791)(447,792)(448,793)
(449,794)(450,795)(451,826)(452,827)(453,828)(454,829)(455,830)(456,831)
(457,832)(458,833)(459,834)(460,835)(461,836)(462,837)(463,838)(464,839)
(465,840)(466,811)(467,812)(468,813)(469,814)(470,815)(471,816)(472,817)
(473,818)(474,819)(475,820)(476,821)(477,822)(478,823)(479,824)(480,825);;
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, s1*s2*s3*s2*s1*s2*s3*s2,
s2*s3*s2*s3*s2*s3*s2*s3, 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(960)!( 1,121)( 2,122)( 3,123)( 4,124)( 5,125)( 6,126)( 7,127)
( 8,128)( 9,129)( 10,130)( 11,131)( 12,132)( 13,133)( 14,134)( 15,135)
( 16,136)( 17,137)( 18,138)( 19,139)( 20,140)( 21,141)( 22,142)( 23,143)
( 24,144)( 25,145)( 26,146)( 27,147)( 28,148)( 29,149)( 30,150)( 31,151)
( 32,152)( 33,153)( 34,154)( 35,155)( 36,156)( 37,157)( 38,158)( 39,159)
( 40,160)( 41,161)( 42,162)( 43,163)( 44,164)( 45,165)( 46,166)( 47,167)
( 48,168)( 49,169)( 50,170)( 51,171)( 52,172)( 53,173)( 54,174)( 55,175)
( 56,176)( 57,177)( 58,178)( 59,179)( 60,180)( 61,181)( 62,182)( 63,183)
( 64,184)( 65,185)( 66,186)( 67,187)( 68,188)( 69,189)( 70,190)( 71,191)
( 72,192)( 73,193)( 74,194)( 75,195)( 76,196)( 77,197)( 78,198)( 79,199)
( 80,200)( 81,201)( 82,202)( 83,203)( 84,204)( 85,205)( 86,206)( 87,207)
( 88,208)( 89,209)( 90,210)( 91,211)( 92,212)( 93,213)( 94,214)( 95,215)
( 96,216)( 97,217)( 98,218)( 99,219)(100,220)(101,221)(102,222)(103,223)
(104,224)(105,225)(106,226)(107,227)(108,228)(109,229)(110,230)(111,231)
(112,232)(113,233)(114,234)(115,235)(116,236)(117,237)(118,238)(119,239)
(120,240)(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)(481,601)(482,602)(483,603)(484,604)(485,605)(486,606)(487,607)
(488,608)(489,609)(490,610)(491,611)(492,612)(493,613)(494,614)(495,615)
(496,616)(497,617)(498,618)(499,619)(500,620)(501,621)(502,622)(503,623)
(504,624)(505,625)(506,626)(507,627)(508,628)(509,629)(510,630)(511,631)
(512,632)(513,633)(514,634)(515,635)(516,636)(517,637)(518,638)(519,639)
(520,640)(521,641)(522,642)(523,643)(524,644)(525,645)(526,646)(527,647)
(528,648)(529,649)(530,650)(531,651)(532,652)(533,653)(534,654)(535,655)
(536,656)(537,657)(538,658)(539,659)(540,660)(541,661)(542,662)(543,663)
(544,664)(545,665)(546,666)(547,667)(548,668)(549,669)(550,670)(551,671)
(552,672)(553,673)(554,674)(555,675)(556,676)(557,677)(558,678)(559,679)
(560,680)(561,681)(562,682)(563,683)(564,684)(565,685)(566,686)(567,687)
(568,688)(569,689)(570,690)(571,691)(572,692)(573,693)(574,694)(575,695)
(576,696)(577,697)(578,698)(579,699)(580,700)(581,701)(582,702)(583,703)
(584,704)(585,705)(586,706)(587,707)(588,708)(589,709)(590,710)(591,711)
(592,712)(593,713)(594,714)(595,715)(596,716)(597,717)(598,718)(599,719)
(600,720)(721,841)(722,842)(723,843)(724,844)(725,845)(726,846)(727,847)
(728,848)(729,849)(730,850)(731,851)(732,852)(733,853)(734,854)(735,855)
(736,856)(737,857)(738,858)(739,859)(740,860)(741,861)(742,862)(743,863)
(744,864)(745,865)(746,866)(747,867)(748,868)(749,869)(750,870)(751,871)
(752,872)(753,873)(754,874)(755,875)(756,876)(757,877)(758,878)(759,879)
(760,880)(761,881)(762,882)(763,883)(764,884)(765,885)(766,886)(767,887)
(768,888)(769,889)(770,890)(771,891)(772,892)(773,893)(774,894)(775,895)
(776,896)(777,897)(778,898)(779,899)(780,900)(781,901)(782,902)(783,903)
(784,904)(785,905)(786,906)(787,907)(788,908)(789,909)(790,910)(791,911)
(792,912)(793,913)(794,914)(795,915)(796,916)(797,917)(798,918)(799,919)
(800,920)(801,921)(802,922)(803,923)(804,924)(805,925)(806,926)(807,927)
(808,928)(809,929)(810,930)(811,931)(812,932)(813,933)(814,934)(815,935)
(816,936)(817,937)(818,938)(819,939)(820,940)(821,941)(822,942)(823,943)
(824,944)(825,945)(826,946)(827,947)(828,948)(829,949)(830,950)(831,951)
(832,952)(833,953)(834,954)(835,955)(836,956)(837,957)(838,958)(839,959)
(840,960);
s1 := Sym(960)!( 2, 5)( 3, 4)( 6, 11)( 7, 15)( 8, 14)( 9, 13)( 10, 12)
( 17, 20)( 18, 19)( 21, 26)( 22, 30)( 23, 29)( 24, 28)( 25, 27)( 32, 35)
( 33, 34)( 36, 41)( 37, 45)( 38, 44)( 39, 43)( 40, 42)( 47, 50)( 48, 49)
( 51, 56)( 52, 60)( 53, 59)( 54, 58)( 55, 57)( 62, 65)( 63, 64)( 66, 71)
( 67, 75)( 68, 74)( 69, 73)( 70, 72)( 77, 80)( 78, 79)( 81, 86)( 82, 90)
( 83, 89)( 84, 88)( 85, 87)( 92, 95)( 93, 94)( 96,101)( 97,105)( 98,104)
( 99,103)(100,102)(107,110)(108,109)(111,116)(112,120)(113,119)(114,118)
(115,117)(121,181)(122,185)(123,184)(124,183)(125,182)(126,191)(127,195)
(128,194)(129,193)(130,192)(131,186)(132,190)(133,189)(134,188)(135,187)
(136,196)(137,200)(138,199)(139,198)(140,197)(141,206)(142,210)(143,209)
(144,208)(145,207)(146,201)(147,205)(148,204)(149,203)(150,202)(151,211)
(152,215)(153,214)(154,213)(155,212)(156,221)(157,225)(158,224)(159,223)
(160,222)(161,216)(162,220)(163,219)(164,218)(165,217)(166,226)(167,230)
(168,229)(169,228)(170,227)(171,236)(172,240)(173,239)(174,238)(175,237)
(176,231)(177,235)(178,234)(179,233)(180,232)(241,271)(242,275)(243,274)
(244,273)(245,272)(246,281)(247,285)(248,284)(249,283)(250,282)(251,276)
(252,280)(253,279)(254,278)(255,277)(256,286)(257,290)(258,289)(259,288)
(260,287)(261,296)(262,300)(263,299)(264,298)(265,297)(266,291)(267,295)
(268,294)(269,293)(270,292)(301,331)(302,335)(303,334)(304,333)(305,332)
(306,341)(307,345)(308,344)(309,343)(310,342)(311,336)(312,340)(313,339)
(314,338)(315,337)(316,346)(317,350)(318,349)(319,348)(320,347)(321,356)
(322,360)(323,359)(324,358)(325,357)(326,351)(327,355)(328,354)(329,353)
(330,352)(361,451)(362,455)(363,454)(364,453)(365,452)(366,461)(367,465)
(368,464)(369,463)(370,462)(371,456)(372,460)(373,459)(374,458)(375,457)
(376,466)(377,470)(378,469)(379,468)(380,467)(381,476)(382,480)(383,479)
(384,478)(385,477)(386,471)(387,475)(388,474)(389,473)(390,472)(391,421)
(392,425)(393,424)(394,423)(395,422)(396,431)(397,435)(398,434)(399,433)
(400,432)(401,426)(402,430)(403,429)(404,428)(405,427)(406,436)(407,440)
(408,439)(409,438)(410,437)(411,446)(412,450)(413,449)(414,448)(415,447)
(416,441)(417,445)(418,444)(419,443)(420,442)(481,541)(482,545)(483,544)
(484,543)(485,542)(486,551)(487,555)(488,554)(489,553)(490,552)(491,546)
(492,550)(493,549)(494,548)(495,547)(496,556)(497,560)(498,559)(499,558)
(500,557)(501,566)(502,570)(503,569)(504,568)(505,567)(506,561)(507,565)
(508,564)(509,563)(510,562)(511,571)(512,575)(513,574)(514,573)(515,572)
(516,581)(517,585)(518,584)(519,583)(520,582)(521,576)(522,580)(523,579)
(524,578)(525,577)(526,586)(527,590)(528,589)(529,588)(530,587)(531,596)
(532,600)(533,599)(534,598)(535,597)(536,591)(537,595)(538,594)(539,593)
(540,592)(602,605)(603,604)(606,611)(607,615)(608,614)(609,613)(610,612)
(617,620)(618,619)(621,626)(622,630)(623,629)(624,628)(625,627)(632,635)
(633,634)(636,641)(637,645)(638,644)(639,643)(640,642)(647,650)(648,649)
(651,656)(652,660)(653,659)(654,658)(655,657)(662,665)(663,664)(666,671)
(667,675)(668,674)(669,673)(670,672)(677,680)(678,679)(681,686)(682,690)
(683,689)(684,688)(685,687)(692,695)(693,694)(696,701)(697,705)(698,704)
(699,703)(700,702)(707,710)(708,709)(711,716)(712,720)(713,719)(714,718)
(715,717)(721,811)(722,815)(723,814)(724,813)(725,812)(726,821)(727,825)
(728,824)(729,823)(730,822)(731,816)(732,820)(733,819)(734,818)(735,817)
(736,826)(737,830)(738,829)(739,828)(740,827)(741,836)(742,840)(743,839)
(744,838)(745,837)(746,831)(747,835)(748,834)(749,833)(750,832)(751,781)
(752,785)(753,784)(754,783)(755,782)(756,791)(757,795)(758,794)(759,793)
(760,792)(761,786)(762,790)(763,789)(764,788)(765,787)(766,796)(767,800)
(768,799)(769,798)(770,797)(771,806)(772,810)(773,809)(774,808)(775,807)
(776,801)(777,805)(778,804)(779,803)(780,802)(841,871)(842,875)(843,874)
(844,873)(845,872)(846,881)(847,885)(848,884)(849,883)(850,882)(851,876)
(852,880)(853,879)(854,878)(855,877)(856,886)(857,890)(858,889)(859,888)
(860,887)(861,896)(862,900)(863,899)(864,898)(865,897)(866,891)(867,895)
(868,894)(869,893)(870,892)(901,931)(902,935)(903,934)(904,933)(905,932)
(906,941)(907,945)(908,944)(909,943)(910,942)(911,936)(912,940)(913,939)
(914,938)(915,937)(916,946)(917,950)(918,949)(919,948)(920,947)(921,956)
(922,960)(923,959)(924,958)(925,957)(926,951)(927,955)(928,954)(929,953)
(930,952);
s2 := Sym(960)!( 1,247)( 2,246)( 3,250)( 4,249)( 5,248)( 6,242)( 7,241)
( 8,245)( 9,244)( 10,243)( 11,252)( 12,251)( 13,255)( 14,254)( 15,253)
( 16,262)( 17,261)( 18,265)( 19,264)( 20,263)( 21,257)( 22,256)( 23,260)
( 24,259)( 25,258)( 26,267)( 27,266)( 28,270)( 29,269)( 30,268)( 31,277)
( 32,276)( 33,280)( 34,279)( 35,278)( 36,272)( 37,271)( 38,275)( 39,274)
( 40,273)( 41,282)( 42,281)( 43,285)( 44,284)( 45,283)( 46,292)( 47,291)
( 48,295)( 49,294)( 50,293)( 51,287)( 52,286)( 53,290)( 54,289)( 55,288)
( 56,297)( 57,296)( 58,300)( 59,299)( 60,298)( 61,307)( 62,306)( 63,310)
( 64,309)( 65,308)( 66,302)( 67,301)( 68,305)( 69,304)( 70,303)( 71,312)
( 72,311)( 73,315)( 74,314)( 75,313)( 76,322)( 77,321)( 78,325)( 79,324)
( 80,323)( 81,317)( 82,316)( 83,320)( 84,319)( 85,318)( 86,327)( 87,326)
( 88,330)( 89,329)( 90,328)( 91,337)( 92,336)( 93,340)( 94,339)( 95,338)
( 96,332)( 97,331)( 98,335)( 99,334)(100,333)(101,342)(102,341)(103,345)
(104,344)(105,343)(106,352)(107,351)(108,355)(109,354)(110,353)(111,347)
(112,346)(113,350)(114,349)(115,348)(116,357)(117,356)(118,360)(119,359)
(120,358)(121,367)(122,366)(123,370)(124,369)(125,368)(126,362)(127,361)
(128,365)(129,364)(130,363)(131,372)(132,371)(133,375)(134,374)(135,373)
(136,382)(137,381)(138,385)(139,384)(140,383)(141,377)(142,376)(143,380)
(144,379)(145,378)(146,387)(147,386)(148,390)(149,389)(150,388)(151,397)
(152,396)(153,400)(154,399)(155,398)(156,392)(157,391)(158,395)(159,394)
(160,393)(161,402)(162,401)(163,405)(164,404)(165,403)(166,412)(167,411)
(168,415)(169,414)(170,413)(171,407)(172,406)(173,410)(174,409)(175,408)
(176,417)(177,416)(178,420)(179,419)(180,418)(181,427)(182,426)(183,430)
(184,429)(185,428)(186,422)(187,421)(188,425)(189,424)(190,423)(191,432)
(192,431)(193,435)(194,434)(195,433)(196,442)(197,441)(198,445)(199,444)
(200,443)(201,437)(202,436)(203,440)(204,439)(205,438)(206,447)(207,446)
(208,450)(209,449)(210,448)(211,457)(212,456)(213,460)(214,459)(215,458)
(216,452)(217,451)(218,455)(219,454)(220,453)(221,462)(222,461)(223,465)
(224,464)(225,463)(226,472)(227,471)(228,475)(229,474)(230,473)(231,467)
(232,466)(233,470)(234,469)(235,468)(236,477)(237,476)(238,480)(239,479)
(240,478)(481,727)(482,726)(483,730)(484,729)(485,728)(486,722)(487,721)
(488,725)(489,724)(490,723)(491,732)(492,731)(493,735)(494,734)(495,733)
(496,742)(497,741)(498,745)(499,744)(500,743)(501,737)(502,736)(503,740)
(504,739)(505,738)(506,747)(507,746)(508,750)(509,749)(510,748)(511,757)
(512,756)(513,760)(514,759)(515,758)(516,752)(517,751)(518,755)(519,754)
(520,753)(521,762)(522,761)(523,765)(524,764)(525,763)(526,772)(527,771)
(528,775)(529,774)(530,773)(531,767)(532,766)(533,770)(534,769)(535,768)
(536,777)(537,776)(538,780)(539,779)(540,778)(541,787)(542,786)(543,790)
(544,789)(545,788)(546,782)(547,781)(548,785)(549,784)(550,783)(551,792)
(552,791)(553,795)(554,794)(555,793)(556,802)(557,801)(558,805)(559,804)
(560,803)(561,797)(562,796)(563,800)(564,799)(565,798)(566,807)(567,806)
(568,810)(569,809)(570,808)(571,817)(572,816)(573,820)(574,819)(575,818)
(576,812)(577,811)(578,815)(579,814)(580,813)(581,822)(582,821)(583,825)
(584,824)(585,823)(586,832)(587,831)(588,835)(589,834)(590,833)(591,827)
(592,826)(593,830)(594,829)(595,828)(596,837)(597,836)(598,840)(599,839)
(600,838)(601,847)(602,846)(603,850)(604,849)(605,848)(606,842)(607,841)
(608,845)(609,844)(610,843)(611,852)(612,851)(613,855)(614,854)(615,853)
(616,862)(617,861)(618,865)(619,864)(620,863)(621,857)(622,856)(623,860)
(624,859)(625,858)(626,867)(627,866)(628,870)(629,869)(630,868)(631,877)
(632,876)(633,880)(634,879)(635,878)(636,872)(637,871)(638,875)(639,874)
(640,873)(641,882)(642,881)(643,885)(644,884)(645,883)(646,892)(647,891)
(648,895)(649,894)(650,893)(651,887)(652,886)(653,890)(654,889)(655,888)
(656,897)(657,896)(658,900)(659,899)(660,898)(661,907)(662,906)(663,910)
(664,909)(665,908)(666,902)(667,901)(668,905)(669,904)(670,903)(671,912)
(672,911)(673,915)(674,914)(675,913)(676,922)(677,921)(678,925)(679,924)
(680,923)(681,917)(682,916)(683,920)(684,919)(685,918)(686,927)(687,926)
(688,930)(689,929)(690,928)(691,937)(692,936)(693,940)(694,939)(695,938)
(696,932)(697,931)(698,935)(699,934)(700,933)(701,942)(702,941)(703,945)
(704,944)(705,943)(706,952)(707,951)(708,955)(709,954)(710,953)(711,947)
(712,946)(713,950)(714,949)(715,948)(716,957)(717,956)(718,960)(719,959)
(720,958);
s3 := Sym(960)!( 1,601)( 2,602)( 3,603)( 4,604)( 5,605)( 6,606)( 7,607)
( 8,608)( 9,609)( 10,610)( 11,611)( 12,612)( 13,613)( 14,614)( 15,615)
( 16,616)( 17,617)( 18,618)( 19,619)( 20,620)( 21,621)( 22,622)( 23,623)
( 24,624)( 25,625)( 26,626)( 27,627)( 28,628)( 29,629)( 30,630)( 31,631)
( 32,632)( 33,633)( 34,634)( 35,635)( 36,636)( 37,637)( 38,638)( 39,639)
( 40,640)( 41,641)( 42,642)( 43,643)( 44,644)( 45,645)( 46,646)( 47,647)
( 48,648)( 49,649)( 50,650)( 51,651)( 52,652)( 53,653)( 54,654)( 55,655)
( 56,656)( 57,657)( 58,658)( 59,659)( 60,660)( 61,661)( 62,662)( 63,663)
( 64,664)( 65,665)( 66,666)( 67,667)( 68,668)( 69,669)( 70,670)( 71,671)
( 72,672)( 73,673)( 74,674)( 75,675)( 76,676)( 77,677)( 78,678)( 79,679)
( 80,680)( 81,681)( 82,682)( 83,683)( 84,684)( 85,685)( 86,686)( 87,687)
( 88,688)( 89,689)( 90,690)( 91,691)( 92,692)( 93,693)( 94,694)( 95,695)
( 96,696)( 97,697)( 98,698)( 99,699)(100,700)(101,701)(102,702)(103,703)
(104,704)(105,705)(106,706)(107,707)(108,708)(109,709)(110,710)(111,711)
(112,712)(113,713)(114,714)(115,715)(116,716)(117,717)(118,718)(119,719)
(120,720)(121,481)(122,482)(123,483)(124,484)(125,485)(126,486)(127,487)
(128,488)(129,489)(130,490)(131,491)(132,492)(133,493)(134,494)(135,495)
(136,496)(137,497)(138,498)(139,499)(140,500)(141,501)(142,502)(143,503)
(144,504)(145,505)(146,506)(147,507)(148,508)(149,509)(150,510)(151,511)
(152,512)(153,513)(154,514)(155,515)(156,516)(157,517)(158,518)(159,519)
(160,520)(161,521)(162,522)(163,523)(164,524)(165,525)(166,526)(167,527)
(168,528)(169,529)(170,530)(171,531)(172,532)(173,533)(174,534)(175,535)
(176,536)(177,537)(178,538)(179,539)(180,540)(181,541)(182,542)(183,543)
(184,544)(185,545)(186,546)(187,547)(188,548)(189,549)(190,550)(191,551)
(192,552)(193,553)(194,554)(195,555)(196,556)(197,557)(198,558)(199,559)
(200,560)(201,561)(202,562)(203,563)(204,564)(205,565)(206,566)(207,567)
(208,568)(209,569)(210,570)(211,571)(212,572)(213,573)(214,574)(215,575)
(216,576)(217,577)(218,578)(219,579)(220,580)(221,581)(222,582)(223,583)
(224,584)(225,585)(226,586)(227,587)(228,588)(229,589)(230,590)(231,591)
(232,592)(233,593)(234,594)(235,595)(236,596)(237,597)(238,598)(239,599)
(240,600)(241,856)(242,857)(243,858)(244,859)(245,860)(246,861)(247,862)
(248,863)(249,864)(250,865)(251,866)(252,867)(253,868)(254,869)(255,870)
(256,841)(257,842)(258,843)(259,844)(260,845)(261,846)(262,847)(263,848)
(264,849)(265,850)(266,851)(267,852)(268,853)(269,854)(270,855)(271,886)
(272,887)(273,888)(274,889)(275,890)(276,891)(277,892)(278,893)(279,894)
(280,895)(281,896)(282,897)(283,898)(284,899)(285,900)(286,871)(287,872)
(288,873)(289,874)(290,875)(291,876)(292,877)(293,878)(294,879)(295,880)
(296,881)(297,882)(298,883)(299,884)(300,885)(301,916)(302,917)(303,918)
(304,919)(305,920)(306,921)(307,922)(308,923)(309,924)(310,925)(311,926)
(312,927)(313,928)(314,929)(315,930)(316,901)(317,902)(318,903)(319,904)
(320,905)(321,906)(322,907)(323,908)(324,909)(325,910)(326,911)(327,912)
(328,913)(329,914)(330,915)(331,946)(332,947)(333,948)(334,949)(335,950)
(336,951)(337,952)(338,953)(339,954)(340,955)(341,956)(342,957)(343,958)
(344,959)(345,960)(346,931)(347,932)(348,933)(349,934)(350,935)(351,936)
(352,937)(353,938)(354,939)(355,940)(356,941)(357,942)(358,943)(359,944)
(360,945)(361,736)(362,737)(363,738)(364,739)(365,740)(366,741)(367,742)
(368,743)(369,744)(370,745)(371,746)(372,747)(373,748)(374,749)(375,750)
(376,721)(377,722)(378,723)(379,724)(380,725)(381,726)(382,727)(383,728)
(384,729)(385,730)(386,731)(387,732)(388,733)(389,734)(390,735)(391,766)
(392,767)(393,768)(394,769)(395,770)(396,771)(397,772)(398,773)(399,774)
(400,775)(401,776)(402,777)(403,778)(404,779)(405,780)(406,751)(407,752)
(408,753)(409,754)(410,755)(411,756)(412,757)(413,758)(414,759)(415,760)
(416,761)(417,762)(418,763)(419,764)(420,765)(421,796)(422,797)(423,798)
(424,799)(425,800)(426,801)(427,802)(428,803)(429,804)(430,805)(431,806)
(432,807)(433,808)(434,809)(435,810)(436,781)(437,782)(438,783)(439,784)
(440,785)(441,786)(442,787)(443,788)(444,789)(445,790)(446,791)(447,792)
(448,793)(449,794)(450,795)(451,826)(452,827)(453,828)(454,829)(455,830)
(456,831)(457,832)(458,833)(459,834)(460,835)(461,836)(462,837)(463,838)
(464,839)(465,840)(466,811)(467,812)(468,813)(469,814)(470,815)(471,816)
(472,817)(473,818)(474,819)(475,820)(476,821)(477,822)(478,823)(479,824)
(480,825);
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*s0*s1*s0*s1*s0*s1, s0*s1*s2*s1*s0*s1*s2*s1,
s1*s2*s3*s2*s1*s2*s3*s2, s2*s3*s2*s3*s2*s3*s2*s3,
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