Polytope of Type {60,4,4}

This page is part of the Atlas of Small Regular Polytopes
Atlas Canonical Name : {60,4,4}*1920
Also Known As : {{60,4|2},{4,4|2}}. if this polytope has another name.
Group : SmallGroup(1920,58468)
Rank : 4
Schlafli Type : {60,4,4}
Number of vertices, edges, etc : 60, 120, 8, 4
Order of s0s1s2s3 : 60
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 : {60,4,2}*960a, {60,2,4}*960, {30,4,4}*960
   3-fold quotients : {20,4,4}*640
   4-fold quotients : {60,2,2}*480, {30,2,4}*480, {30,4,2}*480a
   5-fold quotients : {12,4,4}*384
   6-fold quotients : {20,4,2}*320, {20,2,4}*320, {10,4,4}*320
   8-fold quotients : {15,2,4}*240, {30,2,2}*240
   10-fold quotients : {12,4,2}*192a, {12,2,4}*192, {6,4,4}*192
   12-fold quotients : {20,2,2}*160, {10,2,4}*160, {10,4,2}*160
   15-fold quotients : {4,4,4}*128
   16-fold quotients : {15,2,2}*120
   20-fold quotients : {12,2,2}*96, {6,2,4}*96, {6,4,2}*96a
   24-fold quotients : {5,2,4}*80, {10,2,2}*80
   30-fold quotients : {2,4,4}*64, {4,4,2}*64, {4,2,4}*64
   40-fold quotients : {3,2,4}*48, {6,2,2}*48
   48-fold quotients : {5,2,2}*40
   60-fold quotients : {2,2,4}*32, {2,4,2}*32, {4,2,2}*32
   80-fold quotients : {3,2,2}*24
   120-fold quotients : {2,2,2}*16
Covers (Minimal Covers in Boldface) :
   None in this atlas.
Permutation Representation (GAP) : 
s0 := (  1,601)(  2,605)(  3,604)(  4,603)(  5,602)(  6,611)(  7,615)(  8,614)
(  9,613)( 10,612)( 11,606)( 12,610)( 13,609)( 14,608)( 15,607)( 16,616)
( 17,620)( 18,619)( 19,618)( 20,617)( 21,626)( 22,630)( 23,629)( 24,628)
( 25,627)( 26,621)( 27,625)( 28,624)( 29,623)( 30,622)( 31,631)( 32,635)
( 33,634)( 34,633)( 35,632)( 36,641)( 37,645)( 38,644)( 39,643)( 40,642)
( 41,636)( 42,640)( 43,639)( 44,638)( 45,637)( 46,646)( 47,650)( 48,649)
( 49,648)( 50,647)( 51,656)( 52,660)( 53,659)( 54,658)( 55,657)( 56,651)
( 57,655)( 58,654)( 59,653)( 60,652)( 61,661)( 62,665)( 63,664)( 64,663)
( 65,662)( 66,671)( 67,675)( 68,674)( 69,673)( 70,672)( 71,666)( 72,670)
( 73,669)( 74,668)( 75,667)( 76,676)( 77,680)( 78,679)( 79,678)( 80,677)
( 81,686)( 82,690)( 83,689)( 84,688)( 85,687)( 86,681)( 87,685)( 88,684)
( 89,683)( 90,682)( 91,691)( 92,695)( 93,694)( 94,693)( 95,692)( 96,701)
( 97,705)( 98,704)( 99,703)(100,702)(101,696)(102,700)(103,699)(104,698)
(105,697)(106,706)(107,710)(108,709)(109,708)(110,707)(111,716)(112,720)
(113,719)(114,718)(115,717)(116,711)(117,715)(118,714)(119,713)(120,712)
(121,481)(122,485)(123,484)(124,483)(125,482)(126,491)(127,495)(128,494)
(129,493)(130,492)(131,486)(132,490)(133,489)(134,488)(135,487)(136,496)
(137,500)(138,499)(139,498)(140,497)(141,506)(142,510)(143,509)(144,508)
(145,507)(146,501)(147,505)(148,504)(149,503)(150,502)(151,511)(152,515)
(153,514)(154,513)(155,512)(156,521)(157,525)(158,524)(159,523)(160,522)
(161,516)(162,520)(163,519)(164,518)(165,517)(166,526)(167,530)(168,529)
(169,528)(170,527)(171,536)(172,540)(173,539)(174,538)(175,537)(176,531)
(177,535)(178,534)(179,533)(180,532)(181,541)(182,545)(183,544)(184,543)
(185,542)(186,551)(187,555)(188,554)(189,553)(190,552)(191,546)(192,550)
(193,549)(194,548)(195,547)(196,556)(197,560)(198,559)(199,558)(200,557)
(201,566)(202,570)(203,569)(204,568)(205,567)(206,561)(207,565)(208,564)
(209,563)(210,562)(211,571)(212,575)(213,574)(214,573)(215,572)(216,581)
(217,585)(218,584)(219,583)(220,582)(221,576)(222,580)(223,579)(224,578)
(225,577)(226,586)(227,590)(228,589)(229,588)(230,587)(231,596)(232,600)
(233,599)(234,598)(235,597)(236,591)(237,595)(238,594)(239,593)(240,592)
(241,856)(242,860)(243,859)(244,858)(245,857)(246,866)(247,870)(248,869)
(249,868)(250,867)(251,861)(252,865)(253,864)(254,863)(255,862)(256,841)
(257,845)(258,844)(259,843)(260,842)(261,851)(262,855)(263,854)(264,853)
(265,852)(266,846)(267,850)(268,849)(269,848)(270,847)(271,886)(272,890)
(273,889)(274,888)(275,887)(276,896)(277,900)(278,899)(279,898)(280,897)
(281,891)(282,895)(283,894)(284,893)(285,892)(286,871)(287,875)(288,874)
(289,873)(290,872)(291,881)(292,885)(293,884)(294,883)(295,882)(296,876)
(297,880)(298,879)(299,878)(300,877)(301,916)(302,920)(303,919)(304,918)
(305,917)(306,926)(307,930)(308,929)(309,928)(310,927)(311,921)(312,925)
(313,924)(314,923)(315,922)(316,901)(317,905)(318,904)(319,903)(320,902)
(321,911)(322,915)(323,914)(324,913)(325,912)(326,906)(327,910)(328,909)
(329,908)(330,907)(331,946)(332,950)(333,949)(334,948)(335,947)(336,956)
(337,960)(338,959)(339,958)(340,957)(341,951)(342,955)(343,954)(344,953)
(345,952)(346,931)(347,935)(348,934)(349,933)(350,932)(351,941)(352,945)
(353,944)(354,943)(355,942)(356,936)(357,940)(358,939)(359,938)(360,937)
(361,736)(362,740)(363,739)(364,738)(365,737)(366,746)(367,750)(368,749)
(369,748)(370,747)(371,741)(372,745)(373,744)(374,743)(375,742)(376,721)
(377,725)(378,724)(379,723)(380,722)(381,731)(382,735)(383,734)(384,733)
(385,732)(386,726)(387,730)(388,729)(389,728)(390,727)(391,766)(392,770)
(393,769)(394,768)(395,767)(396,776)(397,780)(398,779)(399,778)(400,777)
(401,771)(402,775)(403,774)(404,773)(405,772)(406,751)(407,755)(408,754)
(409,753)(410,752)(411,761)(412,765)(413,764)(414,763)(415,762)(416,756)
(417,760)(418,759)(419,758)(420,757)(421,796)(422,800)(423,799)(424,798)
(425,797)(426,806)(427,810)(428,809)(429,808)(430,807)(431,801)(432,805)
(433,804)(434,803)(435,802)(436,781)(437,785)(438,784)(439,783)(440,782)
(441,791)(442,795)(443,794)(444,793)(445,792)(446,786)(447,790)(448,789)
(449,788)(450,787)(451,826)(452,830)(453,829)(454,828)(455,827)(456,836)
(457,840)(458,839)(459,838)(460,837)(461,831)(462,835)(463,834)(464,833)
(465,832)(466,811)(467,815)(468,814)(469,813)(470,812)(471,821)(472,825)
(473,824)(474,823)(475,822)(476,816)(477,820)(478,819)(479,818)(480,817);;
s1 := (  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);;
s2 := (121,181)(122,182)(123,183)(124,184)(125,185)(126,186)(127,187)(128,188)
(129,189)(130,190)(131,191)(132,192)(133,193)(134,194)(135,195)(136,196)
(137,197)(138,198)(139,199)(140,200)(141,201)(142,202)(143,203)(144,204)
(145,205)(146,206)(147,207)(148,208)(149,209)(150,210)(151,211)(152,212)
(153,213)(154,214)(155,215)(156,216)(157,217)(158,218)(159,219)(160,220)
(161,221)(162,222)(163,223)(164,224)(165,225)(166,226)(167,227)(168,228)
(169,229)(170,230)(171,231)(172,232)(173,233)(174,234)(175,235)(176,236)
(177,237)(178,238)(179,239)(180,240)(241,271)(242,272)(243,273)(244,274)
(245,275)(246,276)(247,277)(248,278)(249,279)(250,280)(251,281)(252,282)
(253,283)(254,284)(255,285)(256,286)(257,287)(258,288)(259,289)(260,290)
(261,291)(262,292)(263,293)(264,294)(265,295)(266,296)(267,297)(268,298)
(269,299)(270,300)(301,331)(302,332)(303,333)(304,334)(305,335)(306,336)
(307,337)(308,338)(309,339)(310,340)(311,341)(312,342)(313,343)(314,344)
(315,345)(316,346)(317,347)(318,348)(319,349)(320,350)(321,351)(322,352)
(323,353)(324,354)(325,355)(326,356)(327,357)(328,358)(329,359)(330,360)
(361,451)(362,452)(363,453)(364,454)(365,455)(366,456)(367,457)(368,458)
(369,459)(370,460)(371,461)(372,462)(373,463)(374,464)(375,465)(376,466)
(377,467)(378,468)(379,469)(380,470)(381,471)(382,472)(383,473)(384,474)
(385,475)(386,476)(387,477)(388,478)(389,479)(390,480)(391,421)(392,422)
(393,423)(394,424)(395,425)(396,426)(397,427)(398,428)(399,429)(400,430)
(401,431)(402,432)(403,433)(404,434)(405,435)(406,436)(407,437)(408,438)
(409,439)(410,440)(411,441)(412,442)(413,443)(414,444)(415,445)(416,446)
(417,447)(418,448)(419,449)(420,450)(481,541)(482,542)(483,543)(484,544)
(485,545)(486,546)(487,547)(488,548)(489,549)(490,550)(491,551)(492,552)
(493,553)(494,554)(495,555)(496,556)(497,557)(498,558)(499,559)(500,560)
(501,561)(502,562)(503,563)(504,564)(505,565)(506,566)(507,567)(508,568)
(509,569)(510,570)(511,571)(512,572)(513,573)(514,574)(515,575)(516,576)
(517,577)(518,578)(519,579)(520,580)(521,581)(522,582)(523,583)(524,584)
(525,585)(526,586)(527,587)(528,588)(529,589)(530,590)(531,591)(532,592)
(533,593)(534,594)(535,595)(536,596)(537,597)(538,598)(539,599)(540,600)
(721,811)(722,812)(723,813)(724,814)(725,815)(726,816)(727,817)(728,818)
(729,819)(730,820)(731,821)(732,822)(733,823)(734,824)(735,825)(736,826)
(737,827)(738,828)(739,829)(740,830)(741,831)(742,832)(743,833)(744,834)
(745,835)(746,836)(747,837)(748,838)(749,839)(750,840)(751,781)(752,782)
(753,783)(754,784)(755,785)(756,786)(757,787)(758,788)(759,789)(760,790)
(761,791)(762,792)(763,793)(764,794)(765,795)(766,796)(767,797)(768,798)
(769,799)(770,800)(771,801)(772,802)(773,803)(774,804)(775,805)(776,806)
(777,807)(778,808)(779,809)(780,810)(841,871)(842,872)(843,873)(844,874)
(845,875)(846,876)(847,877)(848,878)(849,879)(850,880)(851,881)(852,882)
(853,883)(854,884)(855,885)(856,886)(857,887)(858,888)(859,889)(860,890)
(861,891)(862,892)(863,893)(864,894)(865,895)(866,896)(867,897)(868,898)
(869,899)(870,900)(901,931)(902,932)(903,933)(904,934)(905,935)(906,936)
(907,937)(908,938)(909,939)(910,940)(911,941)(912,942)(913,943)(914,944)
(915,945)(916,946)(917,947)(918,948)(919,949)(920,950)(921,951)(922,952)
(923,953)(924,954)(925,955)(926,956)(927,957)(928,958)(929,959)(930,960);;
s3 := (  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);;
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*s1*s2*s1*s2*s1*s2, s1*s2*s3*s2*s1*s2*s3*s2, 
s2*s3*s2*s3*s2*s3*s2*s3, s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1 ];;
poly := F / rels;;
Permutation Representation (Magma) : 
s0 := Sym(960)!(  1,601)(  2,605)(  3,604)(  4,603)(  5,602)(  6,611)(  7,615)
(  8,614)(  9,613)( 10,612)( 11,606)( 12,610)( 13,609)( 14,608)( 15,607)
( 16,616)( 17,620)( 18,619)( 19,618)( 20,617)( 21,626)( 22,630)( 23,629)
( 24,628)( 25,627)( 26,621)( 27,625)( 28,624)( 29,623)( 30,622)( 31,631)
( 32,635)( 33,634)( 34,633)( 35,632)( 36,641)( 37,645)( 38,644)( 39,643)
( 40,642)( 41,636)( 42,640)( 43,639)( 44,638)( 45,637)( 46,646)( 47,650)
( 48,649)( 49,648)( 50,647)( 51,656)( 52,660)( 53,659)( 54,658)( 55,657)
( 56,651)( 57,655)( 58,654)( 59,653)( 60,652)( 61,661)( 62,665)( 63,664)
( 64,663)( 65,662)( 66,671)( 67,675)( 68,674)( 69,673)( 70,672)( 71,666)
( 72,670)( 73,669)( 74,668)( 75,667)( 76,676)( 77,680)( 78,679)( 79,678)
( 80,677)( 81,686)( 82,690)( 83,689)( 84,688)( 85,687)( 86,681)( 87,685)
( 88,684)( 89,683)( 90,682)( 91,691)( 92,695)( 93,694)( 94,693)( 95,692)
( 96,701)( 97,705)( 98,704)( 99,703)(100,702)(101,696)(102,700)(103,699)
(104,698)(105,697)(106,706)(107,710)(108,709)(109,708)(110,707)(111,716)
(112,720)(113,719)(114,718)(115,717)(116,711)(117,715)(118,714)(119,713)
(120,712)(121,481)(122,485)(123,484)(124,483)(125,482)(126,491)(127,495)
(128,494)(129,493)(130,492)(131,486)(132,490)(133,489)(134,488)(135,487)
(136,496)(137,500)(138,499)(139,498)(140,497)(141,506)(142,510)(143,509)
(144,508)(145,507)(146,501)(147,505)(148,504)(149,503)(150,502)(151,511)
(152,515)(153,514)(154,513)(155,512)(156,521)(157,525)(158,524)(159,523)
(160,522)(161,516)(162,520)(163,519)(164,518)(165,517)(166,526)(167,530)
(168,529)(169,528)(170,527)(171,536)(172,540)(173,539)(174,538)(175,537)
(176,531)(177,535)(178,534)(179,533)(180,532)(181,541)(182,545)(183,544)
(184,543)(185,542)(186,551)(187,555)(188,554)(189,553)(190,552)(191,546)
(192,550)(193,549)(194,548)(195,547)(196,556)(197,560)(198,559)(199,558)
(200,557)(201,566)(202,570)(203,569)(204,568)(205,567)(206,561)(207,565)
(208,564)(209,563)(210,562)(211,571)(212,575)(213,574)(214,573)(215,572)
(216,581)(217,585)(218,584)(219,583)(220,582)(221,576)(222,580)(223,579)
(224,578)(225,577)(226,586)(227,590)(228,589)(229,588)(230,587)(231,596)
(232,600)(233,599)(234,598)(235,597)(236,591)(237,595)(238,594)(239,593)
(240,592)(241,856)(242,860)(243,859)(244,858)(245,857)(246,866)(247,870)
(248,869)(249,868)(250,867)(251,861)(252,865)(253,864)(254,863)(255,862)
(256,841)(257,845)(258,844)(259,843)(260,842)(261,851)(262,855)(263,854)
(264,853)(265,852)(266,846)(267,850)(268,849)(269,848)(270,847)(271,886)
(272,890)(273,889)(274,888)(275,887)(276,896)(277,900)(278,899)(279,898)
(280,897)(281,891)(282,895)(283,894)(284,893)(285,892)(286,871)(287,875)
(288,874)(289,873)(290,872)(291,881)(292,885)(293,884)(294,883)(295,882)
(296,876)(297,880)(298,879)(299,878)(300,877)(301,916)(302,920)(303,919)
(304,918)(305,917)(306,926)(307,930)(308,929)(309,928)(310,927)(311,921)
(312,925)(313,924)(314,923)(315,922)(316,901)(317,905)(318,904)(319,903)
(320,902)(321,911)(322,915)(323,914)(324,913)(325,912)(326,906)(327,910)
(328,909)(329,908)(330,907)(331,946)(332,950)(333,949)(334,948)(335,947)
(336,956)(337,960)(338,959)(339,958)(340,957)(341,951)(342,955)(343,954)
(344,953)(345,952)(346,931)(347,935)(348,934)(349,933)(350,932)(351,941)
(352,945)(353,944)(354,943)(355,942)(356,936)(357,940)(358,939)(359,938)
(360,937)(361,736)(362,740)(363,739)(364,738)(365,737)(366,746)(367,750)
(368,749)(369,748)(370,747)(371,741)(372,745)(373,744)(374,743)(375,742)
(376,721)(377,725)(378,724)(379,723)(380,722)(381,731)(382,735)(383,734)
(384,733)(385,732)(386,726)(387,730)(388,729)(389,728)(390,727)(391,766)
(392,770)(393,769)(394,768)(395,767)(396,776)(397,780)(398,779)(399,778)
(400,777)(401,771)(402,775)(403,774)(404,773)(405,772)(406,751)(407,755)
(408,754)(409,753)(410,752)(411,761)(412,765)(413,764)(414,763)(415,762)
(416,756)(417,760)(418,759)(419,758)(420,757)(421,796)(422,800)(423,799)
(424,798)(425,797)(426,806)(427,810)(428,809)(429,808)(430,807)(431,801)
(432,805)(433,804)(434,803)(435,802)(436,781)(437,785)(438,784)(439,783)
(440,782)(441,791)(442,795)(443,794)(444,793)(445,792)(446,786)(447,790)
(448,789)(449,788)(450,787)(451,826)(452,830)(453,829)(454,828)(455,827)
(456,836)(457,840)(458,839)(459,838)(460,837)(461,831)(462,835)(463,834)
(464,833)(465,832)(466,811)(467,815)(468,814)(469,813)(470,812)(471,821)
(472,825)(473,824)(474,823)(475,822)(476,816)(477,820)(478,819)(479,818)
(480,817);
s1 := 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);
s2 := Sym(960)!(121,181)(122,182)(123,183)(124,184)(125,185)(126,186)(127,187)
(128,188)(129,189)(130,190)(131,191)(132,192)(133,193)(134,194)(135,195)
(136,196)(137,197)(138,198)(139,199)(140,200)(141,201)(142,202)(143,203)
(144,204)(145,205)(146,206)(147,207)(148,208)(149,209)(150,210)(151,211)
(152,212)(153,213)(154,214)(155,215)(156,216)(157,217)(158,218)(159,219)
(160,220)(161,221)(162,222)(163,223)(164,224)(165,225)(166,226)(167,227)
(168,228)(169,229)(170,230)(171,231)(172,232)(173,233)(174,234)(175,235)
(176,236)(177,237)(178,238)(179,239)(180,240)(241,271)(242,272)(243,273)
(244,274)(245,275)(246,276)(247,277)(248,278)(249,279)(250,280)(251,281)
(252,282)(253,283)(254,284)(255,285)(256,286)(257,287)(258,288)(259,289)
(260,290)(261,291)(262,292)(263,293)(264,294)(265,295)(266,296)(267,297)
(268,298)(269,299)(270,300)(301,331)(302,332)(303,333)(304,334)(305,335)
(306,336)(307,337)(308,338)(309,339)(310,340)(311,341)(312,342)(313,343)
(314,344)(315,345)(316,346)(317,347)(318,348)(319,349)(320,350)(321,351)
(322,352)(323,353)(324,354)(325,355)(326,356)(327,357)(328,358)(329,359)
(330,360)(361,451)(362,452)(363,453)(364,454)(365,455)(366,456)(367,457)
(368,458)(369,459)(370,460)(371,461)(372,462)(373,463)(374,464)(375,465)
(376,466)(377,467)(378,468)(379,469)(380,470)(381,471)(382,472)(383,473)
(384,474)(385,475)(386,476)(387,477)(388,478)(389,479)(390,480)(391,421)
(392,422)(393,423)(394,424)(395,425)(396,426)(397,427)(398,428)(399,429)
(400,430)(401,431)(402,432)(403,433)(404,434)(405,435)(406,436)(407,437)
(408,438)(409,439)(410,440)(411,441)(412,442)(413,443)(414,444)(415,445)
(416,446)(417,447)(418,448)(419,449)(420,450)(481,541)(482,542)(483,543)
(484,544)(485,545)(486,546)(487,547)(488,548)(489,549)(490,550)(491,551)
(492,552)(493,553)(494,554)(495,555)(496,556)(497,557)(498,558)(499,559)
(500,560)(501,561)(502,562)(503,563)(504,564)(505,565)(506,566)(507,567)
(508,568)(509,569)(510,570)(511,571)(512,572)(513,573)(514,574)(515,575)
(516,576)(517,577)(518,578)(519,579)(520,580)(521,581)(522,582)(523,583)
(524,584)(525,585)(526,586)(527,587)(528,588)(529,589)(530,590)(531,591)
(532,592)(533,593)(534,594)(535,595)(536,596)(537,597)(538,598)(539,599)
(540,600)(721,811)(722,812)(723,813)(724,814)(725,815)(726,816)(727,817)
(728,818)(729,819)(730,820)(731,821)(732,822)(733,823)(734,824)(735,825)
(736,826)(737,827)(738,828)(739,829)(740,830)(741,831)(742,832)(743,833)
(744,834)(745,835)(746,836)(747,837)(748,838)(749,839)(750,840)(751,781)
(752,782)(753,783)(754,784)(755,785)(756,786)(757,787)(758,788)(759,789)
(760,790)(761,791)(762,792)(763,793)(764,794)(765,795)(766,796)(767,797)
(768,798)(769,799)(770,800)(771,801)(772,802)(773,803)(774,804)(775,805)
(776,806)(777,807)(778,808)(779,809)(780,810)(841,871)(842,872)(843,873)
(844,874)(845,875)(846,876)(847,877)(848,878)(849,879)(850,880)(851,881)
(852,882)(853,883)(854,884)(855,885)(856,886)(857,887)(858,888)(859,889)
(860,890)(861,891)(862,892)(863,893)(864,894)(865,895)(866,896)(867,897)
(868,898)(869,899)(870,900)(901,931)(902,932)(903,933)(904,934)(905,935)
(906,936)(907,937)(908,938)(909,939)(910,940)(911,941)(912,942)(913,943)
(914,944)(915,945)(916,946)(917,947)(918,948)(919,949)(920,950)(921,951)
(922,952)(923,953)(924,954)(925,955)(926,956)(927,957)(928,958)(929,959)
(930,960);
s3 := 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);
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*s1*s2*s1*s2*s1*s2, 
s1*s2*s3*s2*s1*s2*s3*s2, s2*s3*s2*s3*s2*s3*s2*s3, 
s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1 >;
References : None.
to this polytope