Polytope of Type {6,10,16}
This page is part of the Atlas of Small Regular Polytopes
Atlas Canonical Name : {6,10,16}*1920
Also Known As : {{6,10|2},{10,16|2}}. if this polytope has another name.
Group : SmallGroup(1920,203901)
Rank : 4
Schlafli Type : {6,10,16}
Number of vertices, edges, etc : 6, 30, 80, 16
Order of s0s1s2s3 : 240
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 : {6,10,8}*960
3-fold quotients : {2,10,16}*640
4-fold quotients : {6,10,4}*480
5-fold quotients : {6,2,16}*384
6-fold quotients : {2,10,8}*320
8-fold quotients : {6,10,2}*240
10-fold quotients : {3,2,16}*192, {6,2,8}*192
12-fold quotients : {2,10,4}*160
15-fold quotients : {2,2,16}*128
20-fold quotients : {3,2,8}*96, {6,2,4}*96
24-fold quotients : {2,10,2}*80
30-fold quotients : {2,2,8}*64
40-fold quotients : {3,2,4}*48, {6,2,2}*48
48-fold quotients : {2,5,2}*40
60-fold quotients : {2,2,4}*32
80-fold quotients : {3,2,2}*24
120-fold quotients : {2,2,2}*16
Covers (Minimal Covers in Boldface) :
None in this atlas.
Irregular Quotients (of which this is a minimal cover):
None.
Permutation Representation (GAP) :
s0 := ( 1,241)( 2,242)( 3,243)( 4,244)( 5,245)( 6,251)( 7,252)( 8,253)( 9,254)( 10,255)( 11,246)( 12,247)( 13,248)( 14,249)( 15,250)( 16,256)( 17,257)( 18,258)( 19,259)( 20,260)
( 21,266)( 22,267)( 23,268)( 24,269)( 25,270)( 26,261)( 27,262)( 28,263)( 29,264)( 30,265)( 31,271)( 32,272)( 33,273)( 34,274)( 35,275)( 36,281)( 37,282)( 38,283)( 39,284)( 40,285)( 41,276)( 42,277)( 43,278)( 44,279)( 45,280)( 46,286)( 47,287)( 48,288)( 49,289)( 50,290)( 51,296)( 52,297)( 53,298)( 54,299)( 55,300)( 56,291)( 57,292)( 58,293)( 59,294)( 60,295)( 61,301)( 62,302)( 63,303)( 64,304)( 65,305)( 66,311)( 67,312)( 68,313)( 69,314)( 70,315)( 71,306)( 72,307)( 73,308)( 74,309)( 75,310)( 76,316)( 77,317)( 78,318)( 79,319)( 80,320)( 81,326)( 82,327)( 83,328)( 84,329)( 85,330)( 86,321)( 87,322)( 88,323)( 89,324)( 90,325)( 91,331)( 92,332)( 93,333)( 94,334)( 95,335)( 96,341)( 97,342)( 98,343)( 99,344)(100,345)(101,336)(102,337)(103,338)(104,339)(105,340)(106,346)(107,347)(108,348)(109,349)(110,350)(111,356)(112,357)(113,358)(114,359)(115,360)(116,351)(117,352)(118,353)(119,354)(120,355)(121,361)(122,362)(123,363)(124,364)(125,365)(126,371)(127,372)(128,373)(129,374)(130,375)(131,366)(132,367)(133,368)(134,369)(135,370)(136,376)(137,377)(138,378)(139,379)(140,380)(141,386)(142,387)(143,388)(144,389)(145,390)(146,381)(147,382)(148,383)(149,384)(150,385)(151,391)(152,392)(153,393)(154,394)(155,395)(156,401)(157,402)(158,403)(159,404)(160,405)(161,396)(162,397)(163,398)(164,399)(165,400)(166,406)(167,407)(168,408)(169,409)(170,410)(171,416)(172,417)(173,418)(174,419)(175,420)(176,411)(177,412)(178,413)(179,414)(180,415)(181,421)(182,422)(183,423)(184,424)(185,425)(186,431)(187,432)(188,433)(189,434)(190,435)(191,426)(192,427)(193,428)(194,429)(195,430)(196,436)(197,437)(198,438)(199,439)(200,440)(201,446)(202,447)(203,448)(204,449)(205,450)(206,441)(207,442)(208,443)(209,444)(210,445)(211,451)(212,452)(213,453)(214,454)(215,455)(216,461)(217,462)(218,463)(219,464)(220,465)(221,456)(222,457)(223,458)(224,459)(225,460)(226,466)(227,467)(228,468)(229,469)(230,470)(231,476)(232,477)(233,478)(234,479)(235,480)(236,471)(237,472)(238,473)(239,474)(240,475)(481,721)(482,722)(483,723)(484,724)(485,725)(486,731)(487,732)(488,733)(489,734)(490,735)(491,726)(492,727)(493,728)(494,729)(495,730)(496,736)(497,737)(498,738)(499,739)(500,740)(501,746)(502,747)(503,748)(504,749)(505,750)(506,741)(507,742)(508,743)(509,744)(510,745)(511,751)(512,752)(513,753)(514,754)(515,755)(516,761)(517,762)(518,763)(519,764)(520,765)(521,756)(522,757)(523,758)(524,759)(525,760)(526,766)(527,767)(528,768)(529,769)(530,770)(531,776)(532,777)(533,778)(534,779)(535,780)(536,771)(537,772)(538,773)(539,774)(540,775)(541,781)(542,782)(543,783)(544,784)(545,785)(546,791)(547,792)(548,793)(549,794)(550,795)(551,786)(552,787)(553,788)(554,789)(555,790)(556,796)(557,797)(558,798)(559,799)(560,800)(561,806)(562,807)(563,808)(564,809)(565,810)(566,801)(567,802)(568,803)(569,804)(570,805)(571,811)(572,812)(573,813)(574,814)(575,815)(576,821)(577,822)(578,823)(579,824)(580,825)(581,816)(582,817)(583,818)(584,819)(585,820)(586,826)(587,827)(588,828)(589,829)(590,830)(591,836)(592,837)(593,838)(594,839)(595,840)(596,831)(597,832)(598,833)(599,834)(600,835)(601,841)(602,842)(603,843)(604,844)(605,845)(606,851)(607,852)(608,853)(609,854)(610,855)(611,846)(612,847)(613,848)(614,849)(615,850)(616,856)(617,857)(618,858)(619,859)(620,860)(621,866)(622,867)(623,868)(624,869)(625,870)(626,861)(627,862)(628,863)(629,864)(630,865)(631,871)(632,872)(633,873)(634,874)(635,875)(636,881)(637,882)(638,883)(639,884)(640,885)(641,876)(642,877)(643,878)(644,879)(645,880)(646,886)(647,887)(648,888)(649,889)(650,890)(651,896)(652,897)(653,898)(654,899)(655,900)(656,891)(657,892)(658,893)(659,894)(660,895)(661,901)(662,902)(663,903)(664,904)(665,905)(666,911)(667,912)(668,913)(669,914)(670,915)(671,906)(672,907)(673,908)(674,909)(675,910)(676,916)(677,917)(678,918)(679,919)(680,920)(681,926)(682,927)(683,928)(684,929)(685,930)(686,921)(687,922)(688,923)(689,924)(690,925)(691,931)(692,932)(693,933)(694,934)(695,935)(696,941)(697,942)(698,943)(699,944)(700,945)(701,936)(702,937)(703,938)(704,939)(705,940)(706,946)(707,947)(708,948)(709,949)(710,950)(711,956)(712,957)(713,958)(714,959)
(715,960)(716,951)(717,952)(718,953)(719,954)(720,955);;
s1 := ( 1,366)( 2,370)( 3,369)( 4,368)( 5,367)( 6,361)( 7,365)( 8,364)( 9,363)( 10,362)( 11,371)( 12,375)( 13,374)( 14,373)( 15,372)( 16,381)( 17,385)( 18,384)( 19,383)( 20,382)
( 21,376)( 22,380)( 23,379)( 24,378)( 25,377)( 26,386)( 27,390)( 28,389)( 29,388)( 30,387)( 31,396)( 32,400)( 33,399)( 34,398)( 35,397)( 36,391)( 37,395)( 38,394)( 39,393)( 40,392)( 41,401)( 42,405)( 43,404)( 44,403)( 45,402)( 46,411)( 47,415)( 48,414)( 49,413)( 50,412)( 51,406)( 52,410)( 53,409)( 54,408)( 55,407)( 56,416)( 57,420)( 58,419)( 59,418)( 60,417)( 61,426)( 62,430)( 63,429)( 64,428)( 65,427)( 66,421)( 67,425)( 68,424)( 69,423)( 70,422)( 71,431)( 72,435)( 73,434)( 74,433)( 75,432)( 76,441)( 77,445)( 78,444)( 79,443)( 80,442)( 81,436)( 82,440)( 83,439)( 84,438)( 85,437)( 86,446)( 87,450)( 88,449)( 89,448)( 90,447)( 91,456)( 92,460)( 93,459)( 94,458)( 95,457)( 96,451)( 97,455)( 98,454)( 99,453)(100,452)(101,461)(102,465)(103,464)(104,463)(105,462)(106,471)(107,475)(108,474)(109,473)(110,472)(111,466)(112,470)(113,469)(114,468)(115,467)(116,476)(117,480)(118,479)(119,478)(120,477)(121,246)(122,250)(123,249)(124,248)(125,247)(126,241)(127,245)(128,244)(129,243)(130,242)(131,251)(132,255)(133,254)(134,253)(135,252)(136,261)(137,265)(138,264)(139,263)(140,262)(141,256)(142,260)(143,259)(144,258)(145,257)(146,266)(147,270)(148,269)(149,268)(150,267)(151,276)(152,280)(153,279)(154,278)(155,277)(156,271)(157,275)(158,274)(159,273)(160,272)(161,281)(162,285)(163,284)(164,283)(165,282)(166,291)(167,295)(168,294)(169,293)(170,292)(171,286)(172,290)(173,289)(174,288)(175,287)(176,296)(177,300)(178,299)(179,298)(180,297)(181,306)(182,310)(183,309)(184,308)(185,307)(186,301)(187,305)(188,304)(189,303)(190,302)(191,311)(192,315)(193,314)(194,313)(195,312)(196,321)(197,325)(198,324)(199,323)(200,322)(201,316)(202,320)(203,319)(204,318)(205,317)(206,326)(207,330)(208,329)(209,328)(210,327)(211,336)(212,340)(213,339)(214,338)(215,337)(216,331)(217,335)(218,334)(219,333)(220,332)(221,341)(222,345)(223,344)(224,343)(225,342)(226,351)(227,355)(228,354)(229,353)(230,352)(231,346)(232,350)(233,349)(234,348)(235,347)(236,356)(237,360)(238,359)(239,358)(240,357)(481,846)(482,850)(483,849)(484,848)(485,847)(486,841)(487,845)(488,844)(489,843)(490,842)(491,851)(492,855)(493,854)(494,853)(495,852)(496,861)(497,865)(498,864)(499,863)(500,862)(501,856)(502,860)(503,859)(504,858)(505,857)(506,866)(507,870)(508,869)(509,868)(510,867)(511,876)(512,880)(513,879)(514,878)(515,877)(516,871)(517,875)(518,874)(519,873)(520,872)(521,881)(522,885)(523,884)(524,883)(525,882)(526,891)(527,895)(528,894)(529,893)(530,892)(531,886)(532,890)(533,889)(534,888)(535,887)(536,896)(537,900)(538,899)(539,898)(540,897)(541,906)(542,910)(543,909)(544,908)(545,907)(546,901)(547,905)(548,904)(549,903)(550,902)(551,911)(552,915)(553,914)(554,913)(555,912)(556,921)(557,925)(558,924)(559,923)(560,922)(561,916)(562,920)(563,919)(564,918)(565,917)(566,926)(567,930)(568,929)(569,928)(570,927)(571,936)(572,940)(573,939)(574,938)(575,937)(576,931)(577,935)(578,934)(579,933)(580,932)(581,941)(582,945)(583,944)(584,943)(585,942)(586,951)(587,955)(588,954)(589,953)(590,952)(591,946)(592,950)(593,949)(594,948)(595,947)(596,956)(597,960)(598,959)(599,958)(600,957)(601,726)(602,730)(603,729)(604,728)(605,727)(606,721)(607,725)(608,724)(609,723)(610,722)(611,731)(612,735)(613,734)(614,733)(615,732)(616,741)(617,745)(618,744)(619,743)(620,742)(621,736)(622,740)(623,739)(624,738)(625,737)(626,746)(627,750)(628,749)(629,748)(630,747)(631,756)(632,760)(633,759)(634,758)(635,757)(636,751)(637,755)(638,754)(639,753)(640,752)(641,761)(642,765)(643,764)(644,763)(645,762)(646,771)(647,775)(648,774)(649,773)(650,772)(651,766)(652,770)(653,769)(654,768)(655,767)(656,776)(657,780)(658,779)(659,778)(660,777)(661,786)(662,790)(663,789)(664,788)(665,787)(666,781)(667,785)(668,784)(669,783)(670,782)(671,791)(672,795)(673,794)(674,793)(675,792)(676,801)(677,805)(678,804)(679,803)(680,802)(681,796)(682,800)(683,799)(684,798)(685,797)(686,806)(687,810)(688,809)(689,808)(690,807)(691,816)(692,820)(693,819)(694,818)(695,817)(696,811)(697,815)(698,814)(699,813)(700,812)(701,821)(702,825)(703,824)(704,823)(705,822)(706,831)(707,835)(708,834)(709,833)(710,832)(711,826)(712,830)(713,829)(714,828)
(715,827)(716,836)(717,840)(718,839)(719,838)(720,837);;
s2 := ( 1,122)( 2,121)( 3,125)( 4,124)( 5,123)( 6,127)( 7,126)( 8,130)( 9,129)( 10,128)( 11,132)( 12,131)( 13,135)( 14,134)( 15,133)( 16,137)( 17,136)( 18,140)( 19,139)( 20,138)
( 21,142)( 22,141)( 23,145)( 24,144)( 25,143)( 26,147)( 27,146)( 28,150)( 29,149)( 30,148)( 31,167)( 32,166)( 33,170)( 34,169)( 35,168)( 36,172)( 37,171)( 38,175)( 39,174)( 40,173)( 41,177)( 42,176)( 43,180)( 44,179)( 45,178)( 46,152)( 47,151)( 48,155)( 49,154)( 50,153)( 51,157)( 52,156)( 53,160)( 54,159)( 55,158)( 56,162)( 57,161)( 58,165)( 59,164)( 60,163)( 61,212)( 62,211)( 63,215)( 64,214)( 65,213)( 66,217)( 67,216)( 68,220)( 69,219)( 70,218)( 71,222)( 72,221)( 73,225)( 74,224)( 75,223)( 76,227)( 77,226)( 78,230)( 79,229)( 80,228)( 81,232)( 82,231)( 83,235)( 84,234)( 85,233)( 86,237)( 87,236)( 88,240)( 89,239)( 90,238)( 91,182)( 92,181)( 93,185)( 94,184)( 95,183)( 96,187)( 97,186)( 98,190)( 99,189)(100,188)(101,192)(102,191)(103,195)(104,194)(105,193)(106,197)(107,196)(108,200)(109,199)(110,198)(111,202)(112,201)(113,205)(114,204)(115,203)(116,207)(117,206)(118,210)(119,209)(120,208)(241,362)(242,361)(243,365)(244,364)(245,363)(246,367)(247,366)(248,370)(249,369)(250,368)(251,372)(252,371)(253,375)(254,374)(255,373)(256,377)(257,376)(258,380)(259,379)(260,378)(261,382)(262,381)(263,385)(264,384)(265,383)(266,387)(267,386)(268,390)(269,389)(270,388)(271,407)(272,406)(273,410)(274,409)(275,408)(276,412)(277,411)(278,415)(279,414)(280,413)(281,417)(282,416)(283,420)(284,419)(285,418)(286,392)(287,391)(288,395)(289,394)(290,393)(291,397)(292,396)(293,400)(294,399)(295,398)(296,402)(297,401)(298,405)(299,404)(300,403)(301,452)(302,451)(303,455)(304,454)(305,453)(306,457)(307,456)(308,460)(309,459)(310,458)(311,462)(312,461)(313,465)(314,464)(315,463)(316,467)(317,466)(318,470)(319,469)(320,468)(321,472)(322,471)(323,475)(324,474)(325,473)(326,477)(327,476)(328,480)(329,479)(330,478)(331,422)(332,421)(333,425)(334,424)(335,423)(336,427)(337,426)(338,430)(339,429)(340,428)(341,432)(342,431)(343,435)(344,434)(345,433)(346,437)(347,436)(348,440)(349,439)(350,438)(351,442)(352,441)(353,445)(354,444)(355,443)(356,447)(357,446)(358,450)(359,449)(360,448)(481,662)(482,661)(483,665)(484,664)(485,663)(486,667)(487,666)(488,670)(489,669)(490,668)(491,672)(492,671)(493,675)(494,674)(495,673)(496,677)(497,676)(498,680)(499,679)(500,678)(501,682)(502,681)(503,685)(504,684)(505,683)(506,687)(507,686)(508,690)(509,689)(510,688)(511,707)(512,706)(513,710)(514,709)(515,708)(516,712)(517,711)(518,715)(519,714)(520,713)(521,717)(522,716)(523,720)(524,719)(525,718)(526,692)(527,691)(528,695)(529,694)(530,693)(531,697)(532,696)(533,700)(534,699)(535,698)(536,702)(537,701)(538,705)(539,704)(540,703)(541,602)(542,601)(543,605)(544,604)(545,603)(546,607)(547,606)(548,610)(549,609)(550,608)(551,612)(552,611)(553,615)(554,614)(555,613)(556,617)(557,616)(558,620)(559,619)(560,618)(561,622)(562,621)(563,625)(564,624)(565,623)(566,627)(567,626)(568,630)(569,629)(570,628)(571,647)(572,646)(573,650)(574,649)(575,648)(576,652)(577,651)(578,655)(579,654)(580,653)(581,657)(582,656)(583,660)(584,659)(585,658)(586,632)(587,631)(588,635)(589,634)(590,633)(591,637)(592,636)(593,640)(594,639)(595,638)(596,642)(597,641)(598,645)(599,644)(600,643)(721,902)(722,901)(723,905)(724,904)(725,903)(726,907)(727,906)(728,910)(729,909)(730,908)(731,912)(732,911)(733,915)(734,914)(735,913)(736,917)(737,916)(738,920)(739,919)(740,918)(741,922)(742,921)(743,925)(744,924)(745,923)(746,927)(747,926)(748,930)(749,929)(750,928)(751,947)(752,946)(753,950)(754,949)(755,948)(756,952)(757,951)(758,955)(759,954)(760,953)(761,957)(762,956)(763,960)(764,959)(765,958)(766,932)(767,931)(768,935)(769,934)(770,933)(771,937)(772,936)(773,940)(774,939)(775,938)(776,942)(777,941)(778,945)(779,944)(780,943)(781,842)(782,841)(783,845)(784,844)(785,843)(786,847)(787,846)(788,850)(789,849)(790,848)(791,852)(792,851)(793,855)(794,854)(795,853)(796,857)(797,856)(798,860)(799,859)(800,858)(801,862)(802,861)(803,865)(804,864)(805,863)(806,867)(807,866)(808,870)(809,869)(810,868)(811,887)(812,886)(813,890)(814,889)(815,888)(816,892)(817,891)(818,895)(819,894)(820,893)(821,897)(822,896)(823,900)(824,899)(825,898)(826,872)(827,871)(828,875)(829,874)(830,873)(831,877)(832,876)(833,880)(834,879)
(835,878)(836,882)(837,881)(838,885)(839,884)(840,883);;
s3 := ( 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)( 31,526)( 32,527)( 33,528)( 34,529)( 35,530)( 36,531)( 37,532)( 38,533)( 39,534)( 40,535)( 41,536)( 42,537)( 43,538)( 44,539)( 45,540)( 46,511)( 47,512)( 48,513)( 49,514)( 50,515)( 51,516)( 52,517)( 53,518)( 54,519)( 55,520)( 56,521)( 57,522)( 58,523)( 59,524)( 60,525)( 61,571)( 62,572)( 63,573)( 64,574)( 65,575)( 66,576)( 67,577)( 68,578)( 69,579)( 70,580)( 71,581)( 72,582)( 73,583)( 74,584)( 75,585)( 76,586)( 77,587)( 78,588)( 79,589)( 80,590)( 81,591)( 82,592)( 83,593)( 84,594)( 85,595)( 86,596)( 87,597)( 88,598)( 89,599)( 90,600)( 91,541)( 92,542)( 93,543)( 94,544)( 95,545)( 96,546)( 97,547)( 98,548)( 99,549)(100,550)(101,551)(102,552)(103,553)(104,554)(105,555)(106,556)(107,557)(108,558)(109,559)(110,560)(111,561)(112,562)(113,563)(114,564)(115,565)(116,566)(117,567)(118,568)(119,569)(120,570)(121,601)(122,602)(123,603)(124,604)(125,605)(126,606)(127,607)(128,608)(129,609)(130,610)(131,611)(132,612)(133,613)(134,614)(135,615)(136,616)(137,617)(138,618)(139,619)(140,620)(141,621)(142,622)(143,623)(144,624)(145,625)(146,626)(147,627)(148,628)(149,629)(150,630)(151,646)(152,647)(153,648)(154,649)(155,650)(156,651)(157,652)(158,653)(159,654)(160,655)(161,656)(162,657)(163,658)(164,659)(165,660)(166,631)(167,632)(168,633)(169,634)(170,635)(171,636)(172,637)(173,638)(174,639)(175,640)(176,641)(177,642)(178,643)(179,644)(180,645)(181,691)(182,692)(183,693)(184,694)(185,695)(186,696)(187,697)(188,698)(189,699)(190,700)(191,701)(192,702)(193,703)(194,704)(195,705)(196,706)(197,707)(198,708)(199,709)(200,710)(201,711)(202,712)(203,713)(204,714)(205,715)(206,716)(207,717)(208,718)(209,719)(210,720)(211,661)(212,662)(213,663)(214,664)(215,665)(216,666)(217,667)(218,668)(219,669)(220,670)(221,671)(222,672)(223,673)(224,674)(225,675)(226,676)(227,677)(228,678)(229,679)(230,680)(231,681)(232,682)(233,683)(234,684)(235,685)(236,686)(237,687)(238,688)(239,689)(240,690)(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)(271,766)(272,767)(273,768)(274,769)(275,770)(276,771)(277,772)(278,773)(279,774)(280,775)(281,776)(282,777)(283,778)(284,779)(285,780)(286,751)(287,752)(288,753)(289,754)(290,755)(291,756)(292,757)(293,758)(294,759)(295,760)(296,761)(297,762)(298,763)(299,764)(300,765)(301,811)(302,812)(303,813)(304,814)(305,815)(306,816)(307,817)(308,818)(309,819)(310,820)(311,821)(312,822)(313,823)(314,824)(315,825)(316,826)(317,827)(318,828)(319,829)(320,830)(321,831)(322,832)(323,833)(324,834)(325,835)(326,836)(327,837)(328,838)(329,839)(330,840)(331,781)(332,782)(333,783)(334,784)(335,785)(336,786)(337,787)(338,788)(339,789)(340,790)(341,791)(342,792)(343,793)(344,794)(345,795)(346,796)(347,797)(348,798)(349,799)(350,800)(351,801)(352,802)(353,803)(354,804)(355,805)(356,806)(357,807)(358,808)(359,809)(360,810)(361,841)(362,842)(363,843)(364,844)(365,845)(366,846)(367,847)(368,848)(369,849)(370,850)(371,851)(372,852)(373,853)(374,854)(375,855)(376,856)(377,857)(378,858)(379,859)(380,860)(381,861)(382,862)(383,863)(384,864)(385,865)(386,866)(387,867)(388,868)(389,869)(390,870)(391,886)(392,887)(393,888)(394,889)(395,890)(396,891)(397,892)(398,893)(399,894)(400,895)(401,896)(402,897)(403,898)(404,899)(405,900)(406,871)(407,872)(408,873)(409,874)(410,875)(411,876)(412,877)(413,878)(414,879)(415,880)(416,881)(417,882)(418,883)(419,884)(420,885)(421,931)(422,932)(423,933)(424,934)(425,935)(426,936)(427,937)(428,938)(429,939)(430,940)(431,941)(432,942)(433,943)(434,944)(435,945)(436,946)(437,947)(438,948)(439,949)(440,950)(441,951)(442,952)(443,953)(444,954)(445,955)(446,956)(447,957)(448,958)(449,959)(450,960)(451,901)(452,902)(453,903)(454,904)(455,905)(456,906)(457,907)(458,908)(459,909)(460,910)(461,911)(462,912)(463,913)(464,914)(465,915)(466,916)(467,917)(468,918)(469,919)(470,920)(471,921)(472,922)(473,923)(474,924)
(475,925)(476,926)(477,927)(478,928)(479,929)(480,930);;
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, s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1,
s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2,
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)!( 1,241)( 2,242)( 3,243)( 4,244)( 5,245)( 6,251)( 7,252)( 8,253)( 9,254)( 10,255)( 11,246)( 12,247)( 13,248)( 14,249)( 15,250)( 16,256)( 17,257)( 18,258)( 19,259)
( 20,260)( 21,266)( 22,267)( 23,268)( 24,269)( 25,270)( 26,261)( 27,262)( 28,263)( 29,264)( 30,265)( 31,271)( 32,272)( 33,273)( 34,274)( 35,275)( 36,281)( 37,282)( 38,283)( 39,284)( 40,285)( 41,276)( 42,277)( 43,278)( 44,279)( 45,280)( 46,286)( 47,287)( 48,288)( 49,289)( 50,290)( 51,296)( 52,297)( 53,298)( 54,299)( 55,300)( 56,291)( 57,292)( 58,293)( 59,294)( 60,295)( 61,301)( 62,302)( 63,303)( 64,304)( 65,305)( 66,311)( 67,312)( 68,313)( 69,314)( 70,315)( 71,306)( 72,307)( 73,308)( 74,309)( 75,310)( 76,316)( 77,317)( 78,318)( 79,319)( 80,320)( 81,326)( 82,327)( 83,328)( 84,329)( 85,330)( 86,321)( 87,322)( 88,323)( 89,324)( 90,325)( 91,331)( 92,332)( 93,333)( 94,334)( 95,335)( 96,341)( 97,342)( 98,343)( 99,344)(100,345)(101,336)(102,337)(103,338)(104,339)(105,340)(106,346)(107,347)(108,348)(109,349)(110,350)(111,356)(112,357)(113,358)(114,359)(115,360)(116,351)(117,352)(118,353)(119,354)(120,355)(121,361)(122,362)(123,363)(124,364)(125,365)(126,371)(127,372)(128,373)(129,374)(130,375)(131,366)(132,367)(133,368)(134,369)(135,370)(136,376)(137,377)(138,378)(139,379)(140,380)(141,386)(142,387)(143,388)(144,389)(145,390)(146,381)(147,382)(148,383)(149,384)(150,385)(151,391)(152,392)(153,393)(154,394)(155,395)(156,401)(157,402)(158,403)(159,404)(160,405)(161,396)(162,397)(163,398)(164,399)(165,400)(166,406)(167,407)(168,408)(169,409)(170,410)(171,416)(172,417)(173,418)(174,419)(175,420)(176,411)(177,412)(178,413)(179,414)(180,415)(181,421)(182,422)(183,423)(184,424)(185,425)(186,431)(187,432)(188,433)(189,434)(190,435)(191,426)(192,427)(193,428)(194,429)(195,430)(196,436)(197,437)(198,438)(199,439)(200,440)(201,446)(202,447)(203,448)(204,449)(205,450)(206,441)(207,442)(208,443)(209,444)(210,445)(211,451)(212,452)(213,453)(214,454)(215,455)(216,461)(217,462)(218,463)(219,464)(220,465)(221,456)(222,457)(223,458)(224,459)(225,460)(226,466)(227,467)(228,468)(229,469)(230,470)(231,476)(232,477)(233,478)(234,479)(235,480)(236,471)(237,472)(238,473)(239,474)(240,475)(481,721)(482,722)(483,723)(484,724)(485,725)(486,731)(487,732)(488,733)(489,734)(490,735)(491,726)(492,727)(493,728)(494,729)(495,730)(496,736)(497,737)(498,738)(499,739)(500,740)(501,746)(502,747)(503,748)(504,749)(505,750)(506,741)(507,742)(508,743)(509,744)(510,745)(511,751)(512,752)(513,753)(514,754)(515,755)(516,761)(517,762)(518,763)(519,764)(520,765)(521,756)(522,757)(523,758)(524,759)(525,760)(526,766)(527,767)(528,768)(529,769)(530,770)(531,776)(532,777)(533,778)(534,779)(535,780)(536,771)(537,772)(538,773)(539,774)(540,775)(541,781)(542,782)(543,783)(544,784)(545,785)(546,791)(547,792)(548,793)(549,794)(550,795)(551,786)(552,787)(553,788)(554,789)(555,790)(556,796)(557,797)(558,798)(559,799)(560,800)(561,806)(562,807)(563,808)(564,809)(565,810)(566,801)(567,802)(568,803)(569,804)(570,805)(571,811)(572,812)(573,813)(574,814)(575,815)(576,821)(577,822)(578,823)(579,824)(580,825)(581,816)(582,817)(583,818)(584,819)(585,820)(586,826)(587,827)(588,828)(589,829)(590,830)(591,836)(592,837)(593,838)(594,839)(595,840)(596,831)(597,832)(598,833)(599,834)(600,835)(601,841)(602,842)(603,843)(604,844)(605,845)(606,851)(607,852)(608,853)(609,854)(610,855)(611,846)(612,847)(613,848)(614,849)(615,850)(616,856)(617,857)(618,858)(619,859)(620,860)(621,866)(622,867)(623,868)(624,869)(625,870)(626,861)(627,862)(628,863)(629,864)(630,865)(631,871)(632,872)(633,873)(634,874)(635,875)(636,881)(637,882)(638,883)(639,884)(640,885)(641,876)(642,877)(643,878)(644,879)(645,880)(646,886)(647,887)(648,888)(649,889)(650,890)(651,896)(652,897)(653,898)(654,899)(655,900)(656,891)(657,892)(658,893)(659,894)(660,895)(661,901)(662,902)(663,903)(664,904)(665,905)(666,911)(667,912)(668,913)(669,914)(670,915)(671,906)(672,907)(673,908)(674,909)(675,910)(676,916)(677,917)(678,918)(679,919)(680,920)(681,926)(682,927)(683,928)(684,929)(685,930)(686,921)(687,922)(688,923)(689,924)(690,925)(691,931)(692,932)(693,933)(694,934)(695,935)(696,941)(697,942)(698,943)(699,944)(700,945)(701,936)(702,937)(703,938)(704,939)(705,940)(706,946)(707,947)(708,948)(709,949)(710,950)(711,956)(712,957)(713,958)
(714,959)(715,960)(716,951)(717,952)(718,953)(719,954)(720,955);
s1 := Sym(960)!( 1,366)( 2,370)( 3,369)( 4,368)( 5,367)( 6,361)( 7,365)( 8,364)( 9,363)( 10,362)( 11,371)( 12,375)( 13,374)( 14,373)( 15,372)( 16,381)( 17,385)( 18,384)( 19,383)
( 20,382)( 21,376)( 22,380)( 23,379)( 24,378)( 25,377)( 26,386)( 27,390)( 28,389)( 29,388)( 30,387)( 31,396)( 32,400)( 33,399)( 34,398)( 35,397)( 36,391)( 37,395)( 38,394)( 39,393)( 40,392)( 41,401)( 42,405)( 43,404)( 44,403)( 45,402)( 46,411)( 47,415)( 48,414)( 49,413)( 50,412)( 51,406)( 52,410)( 53,409)( 54,408)( 55,407)( 56,416)( 57,420)( 58,419)( 59,418)( 60,417)( 61,426)( 62,430)( 63,429)( 64,428)( 65,427)( 66,421)( 67,425)( 68,424)( 69,423)( 70,422)( 71,431)( 72,435)( 73,434)( 74,433)( 75,432)( 76,441)( 77,445)( 78,444)( 79,443)( 80,442)( 81,436)( 82,440)( 83,439)( 84,438)( 85,437)( 86,446)( 87,450)( 88,449)( 89,448)( 90,447)( 91,456)( 92,460)( 93,459)( 94,458)( 95,457)( 96,451)( 97,455)( 98,454)( 99,453)(100,452)(101,461)(102,465)(103,464)(104,463)(105,462)(106,471)(107,475)(108,474)(109,473)(110,472)(111,466)(112,470)(113,469)(114,468)(115,467)(116,476)(117,480)(118,479)(119,478)(120,477)(121,246)(122,250)(123,249)(124,248)(125,247)(126,241)(127,245)(128,244)(129,243)(130,242)(131,251)(132,255)(133,254)(134,253)(135,252)(136,261)(137,265)(138,264)(139,263)(140,262)(141,256)(142,260)(143,259)(144,258)(145,257)(146,266)(147,270)(148,269)(149,268)(150,267)(151,276)(152,280)(153,279)(154,278)(155,277)(156,271)(157,275)(158,274)(159,273)(160,272)(161,281)(162,285)(163,284)(164,283)(165,282)(166,291)(167,295)(168,294)(169,293)(170,292)(171,286)(172,290)(173,289)(174,288)(175,287)(176,296)(177,300)(178,299)(179,298)(180,297)(181,306)(182,310)(183,309)(184,308)(185,307)(186,301)(187,305)(188,304)(189,303)(190,302)(191,311)(192,315)(193,314)(194,313)(195,312)(196,321)(197,325)(198,324)(199,323)(200,322)(201,316)(202,320)(203,319)(204,318)(205,317)(206,326)(207,330)(208,329)(209,328)(210,327)(211,336)(212,340)(213,339)(214,338)(215,337)(216,331)(217,335)(218,334)(219,333)(220,332)(221,341)(222,345)(223,344)(224,343)(225,342)(226,351)(227,355)(228,354)(229,353)(230,352)(231,346)(232,350)(233,349)(234,348)(235,347)(236,356)(237,360)(238,359)(239,358)(240,357)(481,846)(482,850)(483,849)(484,848)(485,847)(486,841)(487,845)(488,844)(489,843)(490,842)(491,851)(492,855)(493,854)(494,853)(495,852)(496,861)(497,865)(498,864)(499,863)(500,862)(501,856)(502,860)(503,859)(504,858)(505,857)(506,866)(507,870)(508,869)(509,868)(510,867)(511,876)(512,880)(513,879)(514,878)(515,877)(516,871)(517,875)(518,874)(519,873)(520,872)(521,881)(522,885)(523,884)(524,883)(525,882)(526,891)(527,895)(528,894)(529,893)(530,892)(531,886)(532,890)(533,889)(534,888)(535,887)(536,896)(537,900)(538,899)(539,898)(540,897)(541,906)(542,910)(543,909)(544,908)(545,907)(546,901)(547,905)(548,904)(549,903)(550,902)(551,911)(552,915)(553,914)(554,913)(555,912)(556,921)(557,925)(558,924)(559,923)(560,922)(561,916)(562,920)(563,919)(564,918)(565,917)(566,926)(567,930)(568,929)(569,928)(570,927)(571,936)(572,940)(573,939)(574,938)(575,937)(576,931)(577,935)(578,934)(579,933)(580,932)(581,941)(582,945)(583,944)(584,943)(585,942)(586,951)(587,955)(588,954)(589,953)(590,952)(591,946)(592,950)(593,949)(594,948)(595,947)(596,956)(597,960)(598,959)(599,958)(600,957)(601,726)(602,730)(603,729)(604,728)(605,727)(606,721)(607,725)(608,724)(609,723)(610,722)(611,731)(612,735)(613,734)(614,733)(615,732)(616,741)(617,745)(618,744)(619,743)(620,742)(621,736)(622,740)(623,739)(624,738)(625,737)(626,746)(627,750)(628,749)(629,748)(630,747)(631,756)(632,760)(633,759)(634,758)(635,757)(636,751)(637,755)(638,754)(639,753)(640,752)(641,761)(642,765)(643,764)(644,763)(645,762)(646,771)(647,775)(648,774)(649,773)(650,772)(651,766)(652,770)(653,769)(654,768)(655,767)(656,776)(657,780)(658,779)(659,778)(660,777)(661,786)(662,790)(663,789)(664,788)(665,787)(666,781)(667,785)(668,784)(669,783)(670,782)(671,791)(672,795)(673,794)(674,793)(675,792)(676,801)(677,805)(678,804)(679,803)(680,802)(681,796)(682,800)(683,799)(684,798)(685,797)(686,806)(687,810)(688,809)(689,808)(690,807)(691,816)(692,820)(693,819)(694,818)(695,817)(696,811)(697,815)(698,814)(699,813)(700,812)(701,821)(702,825)(703,824)(704,823)(705,822)(706,831)(707,835)(708,834)(709,833)(710,832)(711,826)(712,830)(713,829)
(714,828)(715,827)(716,836)(717,840)(718,839)(719,838)(720,837);
s2 := Sym(960)!( 1,122)( 2,121)( 3,125)( 4,124)( 5,123)( 6,127)( 7,126)( 8,130)( 9,129)( 10,128)( 11,132)( 12,131)( 13,135)( 14,134)( 15,133)( 16,137)( 17,136)( 18,140)( 19,139)
( 20,138)( 21,142)( 22,141)( 23,145)( 24,144)( 25,143)( 26,147)( 27,146)( 28,150)( 29,149)( 30,148)( 31,167)( 32,166)( 33,170)( 34,169)( 35,168)( 36,172)( 37,171)( 38,175)( 39,174)( 40,173)( 41,177)( 42,176)( 43,180)( 44,179)( 45,178)( 46,152)( 47,151)( 48,155)( 49,154)( 50,153)( 51,157)( 52,156)( 53,160)( 54,159)( 55,158)( 56,162)( 57,161)( 58,165)( 59,164)( 60,163)( 61,212)( 62,211)( 63,215)( 64,214)( 65,213)( 66,217)( 67,216)( 68,220)( 69,219)( 70,218)( 71,222)( 72,221)( 73,225)( 74,224)( 75,223)( 76,227)( 77,226)( 78,230)( 79,229)( 80,228)( 81,232)( 82,231)( 83,235)( 84,234)( 85,233)( 86,237)( 87,236)( 88,240)( 89,239)( 90,238)( 91,182)( 92,181)( 93,185)( 94,184)( 95,183)( 96,187)( 97,186)( 98,190)( 99,189)(100,188)(101,192)(102,191)(103,195)(104,194)(105,193)(106,197)(107,196)(108,200)(109,199)(110,198)(111,202)(112,201)(113,205)(114,204)(115,203)(116,207)(117,206)(118,210)(119,209)(120,208)(241,362)(242,361)(243,365)(244,364)(245,363)(246,367)(247,366)(248,370)(249,369)(250,368)(251,372)(252,371)(253,375)(254,374)(255,373)(256,377)(257,376)(258,380)(259,379)(260,378)(261,382)(262,381)(263,385)(264,384)(265,383)(266,387)(267,386)(268,390)(269,389)(270,388)(271,407)(272,406)(273,410)(274,409)(275,408)(276,412)(277,411)(278,415)(279,414)(280,413)(281,417)(282,416)(283,420)(284,419)(285,418)(286,392)(287,391)(288,395)(289,394)(290,393)(291,397)(292,396)(293,400)(294,399)(295,398)(296,402)(297,401)(298,405)(299,404)(300,403)(301,452)(302,451)(303,455)(304,454)(305,453)(306,457)(307,456)(308,460)(309,459)(310,458)(311,462)(312,461)(313,465)(314,464)(315,463)(316,467)(317,466)(318,470)(319,469)(320,468)(321,472)(322,471)(323,475)(324,474)(325,473)(326,477)(327,476)(328,480)(329,479)(330,478)(331,422)(332,421)(333,425)(334,424)(335,423)(336,427)(337,426)(338,430)(339,429)(340,428)(341,432)(342,431)(343,435)(344,434)(345,433)(346,437)(347,436)(348,440)(349,439)(350,438)(351,442)(352,441)(353,445)(354,444)(355,443)(356,447)(357,446)(358,450)(359,449)(360,448)(481,662)(482,661)(483,665)(484,664)(485,663)(486,667)(487,666)(488,670)(489,669)(490,668)(491,672)(492,671)(493,675)(494,674)(495,673)(496,677)(497,676)(498,680)(499,679)(500,678)(501,682)(502,681)(503,685)(504,684)(505,683)(506,687)(507,686)(508,690)(509,689)(510,688)(511,707)(512,706)(513,710)(514,709)(515,708)(516,712)(517,711)(518,715)(519,714)(520,713)(521,717)(522,716)(523,720)(524,719)(525,718)(526,692)(527,691)(528,695)(529,694)(530,693)(531,697)(532,696)(533,700)(534,699)(535,698)(536,702)(537,701)(538,705)(539,704)(540,703)(541,602)(542,601)(543,605)(544,604)(545,603)(546,607)(547,606)(548,610)(549,609)(550,608)(551,612)(552,611)(553,615)(554,614)(555,613)(556,617)(557,616)(558,620)(559,619)(560,618)(561,622)(562,621)(563,625)(564,624)(565,623)(566,627)(567,626)(568,630)(569,629)(570,628)(571,647)(572,646)(573,650)(574,649)(575,648)(576,652)(577,651)(578,655)(579,654)(580,653)(581,657)(582,656)(583,660)(584,659)(585,658)(586,632)(587,631)(588,635)(589,634)(590,633)(591,637)(592,636)(593,640)(594,639)(595,638)(596,642)(597,641)(598,645)(599,644)(600,643)(721,902)(722,901)(723,905)(724,904)(725,903)(726,907)(727,906)(728,910)(729,909)(730,908)(731,912)(732,911)(733,915)(734,914)(735,913)(736,917)(737,916)(738,920)(739,919)(740,918)(741,922)(742,921)(743,925)(744,924)(745,923)(746,927)(747,926)(748,930)(749,929)(750,928)(751,947)(752,946)(753,950)(754,949)(755,948)(756,952)(757,951)(758,955)(759,954)(760,953)(761,957)(762,956)(763,960)(764,959)(765,958)(766,932)(767,931)(768,935)(769,934)(770,933)(771,937)(772,936)(773,940)(774,939)(775,938)(776,942)(777,941)(778,945)(779,944)(780,943)(781,842)(782,841)(783,845)(784,844)(785,843)(786,847)(787,846)(788,850)(789,849)(790,848)(791,852)(792,851)(793,855)(794,854)(795,853)(796,857)(797,856)(798,860)(799,859)(800,858)(801,862)(802,861)(803,865)(804,864)(805,863)(806,867)(807,866)(808,870)(809,869)(810,868)(811,887)(812,886)(813,890)(814,889)(815,888)(816,892)(817,891)(818,895)(819,894)(820,893)(821,897)(822,896)(823,900)(824,899)(825,898)(826,872)(827,871)(828,875)(829,874)(830,873)(831,877)(832,876)(833,880)
(834,879)(835,878)(836,882)(837,881)(838,885)(839,884)(840,883);
s3 := 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)( 31,526)( 32,527)( 33,528)( 34,529)( 35,530)( 36,531)( 37,532)( 38,533)( 39,534)( 40,535)( 41,536)( 42,537)( 43,538)( 44,539)( 45,540)( 46,511)( 47,512)( 48,513)( 49,514)( 50,515)( 51,516)( 52,517)( 53,518)( 54,519)( 55,520)( 56,521)( 57,522)( 58,523)( 59,524)( 60,525)( 61,571)( 62,572)( 63,573)( 64,574)( 65,575)( 66,576)( 67,577)( 68,578)( 69,579)( 70,580)( 71,581)( 72,582)( 73,583)( 74,584)( 75,585)( 76,586)( 77,587)( 78,588)( 79,589)( 80,590)( 81,591)( 82,592)( 83,593)( 84,594)( 85,595)( 86,596)( 87,597)( 88,598)( 89,599)( 90,600)( 91,541)( 92,542)( 93,543)( 94,544)( 95,545)( 96,546)( 97,547)( 98,548)( 99,549)(100,550)(101,551)(102,552)(103,553)(104,554)(105,555)(106,556)(107,557)(108,558)(109,559)(110,560)(111,561)(112,562)(113,563)(114,564)(115,565)(116,566)(117,567)(118,568)(119,569)(120,570)(121,601)(122,602)(123,603)(124,604)(125,605)(126,606)(127,607)(128,608)(129,609)(130,610)(131,611)(132,612)(133,613)(134,614)(135,615)(136,616)(137,617)(138,618)(139,619)(140,620)(141,621)(142,622)(143,623)(144,624)(145,625)(146,626)(147,627)(148,628)(149,629)(150,630)(151,646)(152,647)(153,648)(154,649)(155,650)(156,651)(157,652)(158,653)(159,654)(160,655)(161,656)(162,657)(163,658)(164,659)(165,660)(166,631)(167,632)(168,633)(169,634)(170,635)(171,636)(172,637)(173,638)(174,639)(175,640)(176,641)(177,642)(178,643)(179,644)(180,645)(181,691)(182,692)(183,693)(184,694)(185,695)(186,696)(187,697)(188,698)(189,699)(190,700)(191,701)(192,702)(193,703)(194,704)(195,705)(196,706)(197,707)(198,708)(199,709)(200,710)(201,711)(202,712)(203,713)(204,714)(205,715)(206,716)(207,717)(208,718)(209,719)(210,720)(211,661)(212,662)(213,663)(214,664)(215,665)(216,666)(217,667)(218,668)(219,669)(220,670)(221,671)(222,672)(223,673)(224,674)(225,675)(226,676)(227,677)(228,678)(229,679)(230,680)(231,681)(232,682)(233,683)(234,684)(235,685)(236,686)(237,687)(238,688)(239,689)(240,690)(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)(271,766)(272,767)(273,768)(274,769)(275,770)(276,771)(277,772)(278,773)(279,774)(280,775)(281,776)(282,777)(283,778)(284,779)(285,780)(286,751)(287,752)(288,753)(289,754)(290,755)(291,756)(292,757)(293,758)(294,759)(295,760)(296,761)(297,762)(298,763)(299,764)(300,765)(301,811)(302,812)(303,813)(304,814)(305,815)(306,816)(307,817)(308,818)(309,819)(310,820)(311,821)(312,822)(313,823)(314,824)(315,825)(316,826)(317,827)(318,828)(319,829)(320,830)(321,831)(322,832)(323,833)(324,834)(325,835)(326,836)(327,837)(328,838)(329,839)(330,840)(331,781)(332,782)(333,783)(334,784)(335,785)(336,786)(337,787)(338,788)(339,789)(340,790)(341,791)(342,792)(343,793)(344,794)(345,795)(346,796)(347,797)(348,798)(349,799)(350,800)(351,801)(352,802)(353,803)(354,804)(355,805)(356,806)(357,807)(358,808)(359,809)(360,810)(361,841)(362,842)(363,843)(364,844)(365,845)(366,846)(367,847)(368,848)(369,849)(370,850)(371,851)(372,852)(373,853)(374,854)(375,855)(376,856)(377,857)(378,858)(379,859)(380,860)(381,861)(382,862)(383,863)(384,864)(385,865)(386,866)(387,867)(388,868)(389,869)(390,870)(391,886)(392,887)(393,888)(394,889)(395,890)(396,891)(397,892)(398,893)(399,894)(400,895)(401,896)(402,897)(403,898)(404,899)(405,900)(406,871)(407,872)(408,873)(409,874)(410,875)(411,876)(412,877)(413,878)(414,879)(415,880)(416,881)(417,882)(418,883)(419,884)(420,885)(421,931)(422,932)(423,933)(424,934)(425,935)(426,936)(427,937)(428,938)(429,939)(430,940)(431,941)(432,942)(433,943)(434,944)(435,945)(436,946)(437,947)(438,948)(439,949)(440,950)(441,951)(442,952)(443,953)(444,954)(445,955)(446,956)(447,957)(448,958)(449,959)(450,960)(451,901)(452,902)(453,903)(454,904)(455,905)(456,906)(457,907)(458,908)(459,909)(460,910)(461,911)(462,912)(463,913)(464,914)(465,915)(466,916)(467,917)(468,918)(469,919)(470,920)(471,921)(472,922)(473,923)
(474,924)(475,925)(476,926)(477,927)(478,928)(479,929)(480,930);
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,
s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1,
s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2,
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