Questions?
See the FAQ
or other info.

Polytope of Type {4,6,40}

This page is part of the Atlas of Small Regular Polytopes
Atlas Canonical Name : {4,6,40}*1920a
Also Known As : {{4,6|2},{6,40|2}}. if this polytope has another name.
Group : SmallGroup(1920,182124)
Rank : 4
Schlafli Type : {4,6,40}
Number of vertices, edges, etc : 4, 12, 120, 40
Order of s0s1s2s3 : 120
Order of s0s1s2s3s2s1 : 2
Special Properties :
   Universal
   Orientable
   Flat
Related Polytopes :
   Facet
   Vertex Figure
   Dual
Facet Of :
   None in this Atlas
Vertex Figure Of :
   None in this Atlas
Quotients (Maximal Quotients in Boldface) :
   2-fold quotients : {4,6,20}*960a, {2,6,40}*960
   3-fold quotients : {4,2,40}*640
   4-fold quotients : {2,6,20}*480a, {4,6,10}*480a
   5-fold quotients : {4,6,8}*384a
   6-fold quotients : {4,2,20}*320, {2,2,40}*320
   8-fold quotients : {2,6,10}*240
   10-fold quotients : {4,6,4}*192a, {2,6,8}*192
   12-fold quotients : {2,2,20}*160, {4,2,10}*160
   15-fold quotients : {4,2,8}*128
   20-fold quotients : {2,6,4}*96a, {4,6,2}*96a
   24-fold quotients : {4,2,5}*80, {2,2,10}*80
   30-fold quotients : {4,2,4}*64, {2,2,8}*64
   40-fold quotients : {2,6,2}*48
   48-fold quotients : {2,2,5}*40
   60-fold quotients : {2,2,4}*32, {4,2,2}*32
   80-fold quotients : {2,3,2}*24
   120-fold quotients : {2,2,2}*16
Covers (Minimal Covers in Boldface) :
   None in this atlas.
Permutation Representation (GAP) :
s0 := (  1,241)(  2,242)(  3,243)(  4,244)(  5,245)(  6,246)(  7,247)(  8,248)
(  9,249)( 10,250)( 11,251)( 12,252)( 13,253)( 14,254)( 15,255)( 16,256)
( 17,257)( 18,258)( 19,259)( 20,260)( 21,261)( 22,262)( 23,263)( 24,264)
( 25,265)( 26,266)( 27,267)( 28,268)( 29,269)( 30,270)( 31,271)( 32,272)
( 33,273)( 34,274)( 35,275)( 36,276)( 37,277)( 38,278)( 39,279)( 40,280)
( 41,281)( 42,282)( 43,283)( 44,284)( 45,285)( 46,286)( 47,287)( 48,288)
( 49,289)( 50,290)( 51,291)( 52,292)( 53,293)( 54,294)( 55,295)( 56,296)
( 57,297)( 58,298)( 59,299)( 60,300)( 61,301)( 62,302)( 63,303)( 64,304)
( 65,305)( 66,306)( 67,307)( 68,308)( 69,309)( 70,310)( 71,311)( 72,312)
( 73,313)( 74,314)( 75,315)( 76,316)( 77,317)( 78,318)( 79,319)( 80,320)
( 81,321)( 82,322)( 83,323)( 84,324)( 85,325)( 86,326)( 87,327)( 88,328)
( 89,329)( 90,330)( 91,331)( 92,332)( 93,333)( 94,334)( 95,335)( 96,336)
( 97,337)( 98,338)( 99,339)(100,340)(101,341)(102,342)(103,343)(104,344)
(105,345)(106,346)(107,347)(108,348)(109,349)(110,350)(111,351)(112,352)
(113,353)(114,354)(115,355)(116,356)(117,357)(118,358)(119,359)(120,360)
(121,361)(122,362)(123,363)(124,364)(125,365)(126,366)(127,367)(128,368)
(129,369)(130,370)(131,371)(132,372)(133,373)(134,374)(135,375)(136,376)
(137,377)(138,378)(139,379)(140,380)(141,381)(142,382)(143,383)(144,384)
(145,385)(146,386)(147,387)(148,388)(149,389)(150,390)(151,391)(152,392)
(153,393)(154,394)(155,395)(156,396)(157,397)(158,398)(159,399)(160,400)
(161,401)(162,402)(163,403)(164,404)(165,405)(166,406)(167,407)(168,408)
(169,409)(170,410)(171,411)(172,412)(173,413)(174,414)(175,415)(176,416)
(177,417)(178,418)(179,419)(180,420)(181,421)(182,422)(183,423)(184,424)
(185,425)(186,426)(187,427)(188,428)(189,429)(190,430)(191,431)(192,432)
(193,433)(194,434)(195,435)(196,436)(197,437)(198,438)(199,439)(200,440)
(201,441)(202,442)(203,443)(204,444)(205,445)(206,446)(207,447)(208,448)
(209,449)(210,450)(211,451)(212,452)(213,453)(214,454)(215,455)(216,456)
(217,457)(218,458)(219,459)(220,460)(221,461)(222,462)(223,463)(224,464)
(225,465)(226,466)(227,467)(228,468)(229,469)(230,470)(231,471)(232,472)
(233,473)(234,474)(235,475)(236,476)(237,477)(238,478)(239,479)(240,480)
(481,721)(482,722)(483,723)(484,724)(485,725)(486,726)(487,727)(488,728)
(489,729)(490,730)(491,731)(492,732)(493,733)(494,734)(495,735)(496,736)
(497,737)(498,738)(499,739)(500,740)(501,741)(502,742)(503,743)(504,744)
(505,745)(506,746)(507,747)(508,748)(509,749)(510,750)(511,751)(512,752)
(513,753)(514,754)(515,755)(516,756)(517,757)(518,758)(519,759)(520,760)
(521,761)(522,762)(523,763)(524,764)(525,765)(526,766)(527,767)(528,768)
(529,769)(530,770)(531,771)(532,772)(533,773)(534,774)(535,775)(536,776)
(537,777)(538,778)(539,779)(540,780)(541,781)(542,782)(543,783)(544,784)
(545,785)(546,786)(547,787)(548,788)(549,789)(550,790)(551,791)(552,792)
(553,793)(554,794)(555,795)(556,796)(557,797)(558,798)(559,799)(560,800)
(561,801)(562,802)(563,803)(564,804)(565,805)(566,806)(567,807)(568,808)
(569,809)(570,810)(571,811)(572,812)(573,813)(574,814)(575,815)(576,816)
(577,817)(578,818)(579,819)(580,820)(581,821)(582,822)(583,823)(584,824)
(585,825)(586,826)(587,827)(588,828)(589,829)(590,830)(591,831)(592,832)
(593,833)(594,834)(595,835)(596,836)(597,837)(598,838)(599,839)(600,840)
(601,841)(602,842)(603,843)(604,844)(605,845)(606,846)(607,847)(608,848)
(609,849)(610,850)(611,851)(612,852)(613,853)(614,854)(615,855)(616,856)
(617,857)(618,858)(619,859)(620,860)(621,861)(622,862)(623,863)(624,864)
(625,865)(626,866)(627,867)(628,868)(629,869)(630,870)(631,871)(632,872)
(633,873)(634,874)(635,875)(636,876)(637,877)(638,878)(639,879)(640,880)
(641,881)(642,882)(643,883)(644,884)(645,885)(646,886)(647,887)(648,888)
(649,889)(650,890)(651,891)(652,892)(653,893)(654,894)(655,895)(656,896)
(657,897)(658,898)(659,899)(660,900)(661,901)(662,902)(663,903)(664,904)
(665,905)(666,906)(667,907)(668,908)(669,909)(670,910)(671,911)(672,912)
(673,913)(674,914)(675,915)(676,916)(677,917)(678,918)(679,919)(680,920)
(681,921)(682,922)(683,923)(684,924)(685,925)(686,926)(687,927)(688,928)
(689,929)(690,930)(691,931)(692,932)(693,933)(694,934)(695,935)(696,936)
(697,937)(698,938)(699,939)(700,940)(701,941)(702,942)(703,943)(704,944)
(705,945)(706,946)(707,947)(708,948)(709,949)(710,950)(711,951)(712,952)
(713,953)(714,954)(715,955)(716,956)(717,957)(718,958)(719,959)(720,960);;
s1 := (  1,181)(  2,182)(  3,183)(  4,184)(  5,185)(  6,191)(  7,192)(  8,193)
(  9,194)( 10,195)( 11,186)( 12,187)( 13,188)( 14,189)( 15,190)( 16,196)
( 17,197)( 18,198)( 19,199)( 20,200)( 21,206)( 22,207)( 23,208)( 24,209)
( 25,210)( 26,201)( 27,202)( 28,203)( 29,204)( 30,205)( 31,211)( 32,212)
( 33,213)( 34,214)( 35,215)( 36,221)( 37,222)( 38,223)( 39,224)( 40,225)
( 41,216)( 42,217)( 43,218)( 44,219)( 45,220)( 46,226)( 47,227)( 48,228)
( 49,229)( 50,230)( 51,236)( 52,237)( 53,238)( 54,239)( 55,240)( 56,231)
( 57,232)( 58,233)( 59,234)( 60,235)( 61,136)( 62,137)( 63,138)( 64,139)
( 65,140)( 66,146)( 67,147)( 68,148)( 69,149)( 70,150)( 71,141)( 72,142)
( 73,143)( 74,144)( 75,145)( 76,121)( 77,122)( 78,123)( 79,124)( 80,125)
( 81,131)( 82,132)( 83,133)( 84,134)( 85,135)( 86,126)( 87,127)( 88,128)
( 89,129)( 90,130)( 91,166)( 92,167)( 93,168)( 94,169)( 95,170)( 96,176)
( 97,177)( 98,178)( 99,179)(100,180)(101,171)(102,172)(103,173)(104,174)
(105,175)(106,151)(107,152)(108,153)(109,154)(110,155)(111,161)(112,162)
(113,163)(114,164)(115,165)(116,156)(117,157)(118,158)(119,159)(120,160)
(241,451)(242,452)(243,453)(244,454)(245,455)(246,461)(247,462)(248,463)
(249,464)(250,465)(251,456)(252,457)(253,458)(254,459)(255,460)(256,466)
(257,467)(258,468)(259,469)(260,470)(261,476)(262,477)(263,478)(264,479)
(265,480)(266,471)(267,472)(268,473)(269,474)(270,475)(271,421)(272,422)
(273,423)(274,424)(275,425)(276,431)(277,432)(278,433)(279,434)(280,435)
(281,426)(282,427)(283,428)(284,429)(285,430)(286,436)(287,437)(288,438)
(289,439)(290,440)(291,446)(292,447)(293,448)(294,449)(295,450)(296,441)
(297,442)(298,443)(299,444)(300,445)(301,406)(302,407)(303,408)(304,409)
(305,410)(306,416)(307,417)(308,418)(309,419)(310,420)(311,411)(312,412)
(313,413)(314,414)(315,415)(316,391)(317,392)(318,393)(319,394)(320,395)
(321,401)(322,402)(323,403)(324,404)(325,405)(326,396)(327,397)(328,398)
(329,399)(330,400)(331,376)(332,377)(333,378)(334,379)(335,380)(336,386)
(337,387)(338,388)(339,389)(340,390)(341,381)(342,382)(343,383)(344,384)
(345,385)(346,361)(347,362)(348,363)(349,364)(350,365)(351,371)(352,372)
(353,373)(354,374)(355,375)(356,366)(357,367)(358,368)(359,369)(360,370)
(481,601)(482,602)(483,603)(484,604)(485,605)(486,611)(487,612)(488,613)
(489,614)(490,615)(491,606)(492,607)(493,608)(494,609)(495,610)(496,616)
(497,617)(498,618)(499,619)(500,620)(501,626)(502,627)(503,628)(504,629)
(505,630)(506,621)(507,622)(508,623)(509,624)(510,625)(511,631)(512,632)
(513,633)(514,634)(515,635)(516,641)(517,642)(518,643)(519,644)(520,645)
(521,636)(522,637)(523,638)(524,639)(525,640)(526,646)(527,647)(528,648)
(529,649)(530,650)(531,656)(532,657)(533,658)(534,659)(535,660)(536,651)
(537,652)(538,653)(539,654)(540,655)(541,661)(542,662)(543,663)(544,664)
(545,665)(546,671)(547,672)(548,673)(549,674)(550,675)(551,666)(552,667)
(553,668)(554,669)(555,670)(556,676)(557,677)(558,678)(559,679)(560,680)
(561,686)(562,687)(563,688)(564,689)(565,690)(566,681)(567,682)(568,683)
(569,684)(570,685)(571,691)(572,692)(573,693)(574,694)(575,695)(576,701)
(577,702)(578,703)(579,704)(580,705)(581,696)(582,697)(583,698)(584,699)
(585,700)(586,706)(587,707)(588,708)(589,709)(590,710)(591,716)(592,717)
(593,718)(594,719)(595,720)(596,711)(597,712)(598,713)(599,714)(600,715)
(721,871)(722,872)(723,873)(724,874)(725,875)(726,881)(727,882)(728,883)
(729,884)(730,885)(731,876)(732,877)(733,878)(734,879)(735,880)(736,886)
(737,887)(738,888)(739,889)(740,890)(741,896)(742,897)(743,898)(744,899)
(745,900)(746,891)(747,892)(748,893)(749,894)(750,895)(751,841)(752,842)
(753,843)(754,844)(755,845)(756,851)(757,852)(758,853)(759,854)(760,855)
(761,846)(762,847)(763,848)(764,849)(765,850)(766,856)(767,857)(768,858)
(769,859)(770,860)(771,866)(772,867)(773,868)(774,869)(775,870)(776,861)
(777,862)(778,863)(779,864)(780,865)(781,931)(782,932)(783,933)(784,934)
(785,935)(786,941)(787,942)(788,943)(789,944)(790,945)(791,936)(792,937)
(793,938)(794,939)(795,940)(796,946)(797,947)(798,948)(799,949)(800,950)
(801,956)(802,957)(803,958)(804,959)(805,960)(806,951)(807,952)(808,953)
(809,954)(810,955)(811,901)(812,902)(813,903)(814,904)(815,905)(816,911)
(817,912)(818,913)(819,914)(820,915)(821,906)(822,907)(823,908)(824,909)
(825,910)(826,916)(827,917)(828,918)(829,919)(830,920)(831,926)(832,927)
(833,928)(834,929)(835,930)(836,921)(837,922)(838,923)(839,924)(840,925);;
s2 := (  1,126)(  2,130)(  3,129)(  4,128)(  5,127)(  6,121)(  7,125)(  8,124)
(  9,123)( 10,122)( 11,131)( 12,135)( 13,134)( 14,133)( 15,132)( 16,141)
( 17,145)( 18,144)( 19,143)( 20,142)( 21,136)( 22,140)( 23,139)( 24,138)
( 25,137)( 26,146)( 27,150)( 28,149)( 29,148)( 30,147)( 31,156)( 32,160)
( 33,159)( 34,158)( 35,157)( 36,151)( 37,155)( 38,154)( 39,153)( 40,152)
( 41,161)( 42,165)( 43,164)( 44,163)( 45,162)( 46,171)( 47,175)( 48,174)
( 49,173)( 50,172)( 51,166)( 52,170)( 53,169)( 54,168)( 55,167)( 56,176)
( 57,180)( 58,179)( 59,178)( 60,177)( 61,201)( 62,205)( 63,204)( 64,203)
( 65,202)( 66,196)( 67,200)( 68,199)( 69,198)( 70,197)( 71,206)( 72,210)
( 73,209)( 74,208)( 75,207)( 76,186)( 77,190)( 78,189)( 79,188)( 80,187)
( 81,181)( 82,185)( 83,184)( 84,183)( 85,182)( 86,191)( 87,195)( 88,194)
( 89,193)( 90,192)( 91,231)( 92,235)( 93,234)( 94,233)( 95,232)( 96,226)
( 97,230)( 98,229)( 99,228)(100,227)(101,236)(102,240)(103,239)(104,238)
(105,237)(106,216)(107,220)(108,219)(109,218)(110,217)(111,211)(112,215)
(113,214)(114,213)(115,212)(116,221)(117,225)(118,224)(119,223)(120,222)
(241,366)(242,370)(243,369)(244,368)(245,367)(246,361)(247,365)(248,364)
(249,363)(250,362)(251,371)(252,375)(253,374)(254,373)(255,372)(256,381)
(257,385)(258,384)(259,383)(260,382)(261,376)(262,380)(263,379)(264,378)
(265,377)(266,386)(267,390)(268,389)(269,388)(270,387)(271,396)(272,400)
(273,399)(274,398)(275,397)(276,391)(277,395)(278,394)(279,393)(280,392)
(281,401)(282,405)(283,404)(284,403)(285,402)(286,411)(287,415)(288,414)
(289,413)(290,412)(291,406)(292,410)(293,409)(294,408)(295,407)(296,416)
(297,420)(298,419)(299,418)(300,417)(301,441)(302,445)(303,444)(304,443)
(305,442)(306,436)(307,440)(308,439)(309,438)(310,437)(311,446)(312,450)
(313,449)(314,448)(315,447)(316,426)(317,430)(318,429)(319,428)(320,427)
(321,421)(322,425)(323,424)(324,423)(325,422)(326,431)(327,435)(328,434)
(329,433)(330,432)(331,471)(332,475)(333,474)(334,473)(335,472)(336,466)
(337,470)(338,469)(339,468)(340,467)(341,476)(342,480)(343,479)(344,478)
(345,477)(346,456)(347,460)(348,459)(349,458)(350,457)(351,451)(352,455)
(353,454)(354,453)(355,452)(356,461)(357,465)(358,464)(359,463)(360,462)
(481,606)(482,610)(483,609)(484,608)(485,607)(486,601)(487,605)(488,604)
(489,603)(490,602)(491,611)(492,615)(493,614)(494,613)(495,612)(496,621)
(497,625)(498,624)(499,623)(500,622)(501,616)(502,620)(503,619)(504,618)
(505,617)(506,626)(507,630)(508,629)(509,628)(510,627)(511,636)(512,640)
(513,639)(514,638)(515,637)(516,631)(517,635)(518,634)(519,633)(520,632)
(521,641)(522,645)(523,644)(524,643)(525,642)(526,651)(527,655)(528,654)
(529,653)(530,652)(531,646)(532,650)(533,649)(534,648)(535,647)(536,656)
(537,660)(538,659)(539,658)(540,657)(541,681)(542,685)(543,684)(544,683)
(545,682)(546,676)(547,680)(548,679)(549,678)(550,677)(551,686)(552,690)
(553,689)(554,688)(555,687)(556,666)(557,670)(558,669)(559,668)(560,667)
(561,661)(562,665)(563,664)(564,663)(565,662)(566,671)(567,675)(568,674)
(569,673)(570,672)(571,711)(572,715)(573,714)(574,713)(575,712)(576,706)
(577,710)(578,709)(579,708)(580,707)(581,716)(582,720)(583,719)(584,718)
(585,717)(586,696)(587,700)(588,699)(589,698)(590,697)(591,691)(592,695)
(593,694)(594,693)(595,692)(596,701)(597,705)(598,704)(599,703)(600,702)
(721,846)(722,850)(723,849)(724,848)(725,847)(726,841)(727,845)(728,844)
(729,843)(730,842)(731,851)(732,855)(733,854)(734,853)(735,852)(736,861)
(737,865)(738,864)(739,863)(740,862)(741,856)(742,860)(743,859)(744,858)
(745,857)(746,866)(747,870)(748,869)(749,868)(750,867)(751,876)(752,880)
(753,879)(754,878)(755,877)(756,871)(757,875)(758,874)(759,873)(760,872)
(761,881)(762,885)(763,884)(764,883)(765,882)(766,891)(767,895)(768,894)
(769,893)(770,892)(771,886)(772,890)(773,889)(774,888)(775,887)(776,896)
(777,900)(778,899)(779,898)(780,897)(781,921)(782,925)(783,924)(784,923)
(785,922)(786,916)(787,920)(788,919)(789,918)(790,917)(791,926)(792,930)
(793,929)(794,928)(795,927)(796,906)(797,910)(798,909)(799,908)(800,907)
(801,901)(802,905)(803,904)(804,903)(805,902)(806,911)(807,915)(808,914)
(809,913)(810,912)(811,951)(812,955)(813,954)(814,953)(815,952)(816,946)
(817,950)(818,949)(819,948)(820,947)(821,956)(822,960)(823,959)(824,958)
(825,957)(826,936)(827,940)(828,939)(829,938)(830,937)(831,931)(832,935)
(833,934)(834,933)(835,932)(836,941)(837,945)(838,944)(839,943)(840,942);;
s3 := (  1,482)(  2,481)(  3,485)(  4,484)(  5,483)(  6,487)(  7,486)(  8,490)
(  9,489)( 10,488)( 11,492)( 12,491)( 13,495)( 14,494)( 15,493)( 16,497)
( 17,496)( 18,500)( 19,499)( 20,498)( 21,502)( 22,501)( 23,505)( 24,504)
( 25,503)( 26,507)( 27,506)( 28,510)( 29,509)( 30,508)( 31,512)( 32,511)
( 33,515)( 34,514)( 35,513)( 36,517)( 37,516)( 38,520)( 39,519)( 40,518)
( 41,522)( 42,521)( 43,525)( 44,524)( 45,523)( 46,527)( 47,526)( 48,530)
( 49,529)( 50,528)( 51,532)( 52,531)( 53,535)( 54,534)( 55,533)( 56,537)
( 57,536)( 58,540)( 59,539)( 60,538)( 61,557)( 62,556)( 63,560)( 64,559)
( 65,558)( 66,562)( 67,561)( 68,565)( 69,564)( 70,563)( 71,567)( 72,566)
( 73,570)( 74,569)( 75,568)( 76,542)( 77,541)( 78,545)( 79,544)( 80,543)
( 81,547)( 82,546)( 83,550)( 84,549)( 85,548)( 86,552)( 87,551)( 88,555)
( 89,554)( 90,553)( 91,587)( 92,586)( 93,590)( 94,589)( 95,588)( 96,592)
( 97,591)( 98,595)( 99,594)(100,593)(101,597)(102,596)(103,600)(104,599)
(105,598)(106,572)(107,571)(108,575)(109,574)(110,573)(111,577)(112,576)
(113,580)(114,579)(115,578)(116,582)(117,581)(118,585)(119,584)(120,583)
(121,662)(122,661)(123,665)(124,664)(125,663)(126,667)(127,666)(128,670)
(129,669)(130,668)(131,672)(132,671)(133,675)(134,674)(135,673)(136,677)
(137,676)(138,680)(139,679)(140,678)(141,682)(142,681)(143,685)(144,684)
(145,683)(146,687)(147,686)(148,690)(149,689)(150,688)(151,692)(152,691)
(153,695)(154,694)(155,693)(156,697)(157,696)(158,700)(159,699)(160,698)
(161,702)(162,701)(163,705)(164,704)(165,703)(166,707)(167,706)(168,710)
(169,709)(170,708)(171,712)(172,711)(173,715)(174,714)(175,713)(176,717)
(177,716)(178,720)(179,719)(180,718)(181,602)(182,601)(183,605)(184,604)
(185,603)(186,607)(187,606)(188,610)(189,609)(190,608)(191,612)(192,611)
(193,615)(194,614)(195,613)(196,617)(197,616)(198,620)(199,619)(200,618)
(201,622)(202,621)(203,625)(204,624)(205,623)(206,627)(207,626)(208,630)
(209,629)(210,628)(211,632)(212,631)(213,635)(214,634)(215,633)(216,637)
(217,636)(218,640)(219,639)(220,638)(221,642)(222,641)(223,645)(224,644)
(225,643)(226,647)(227,646)(228,650)(229,649)(230,648)(231,652)(232,651)
(233,655)(234,654)(235,653)(236,657)(237,656)(238,660)(239,659)(240,658)
(241,722)(242,721)(243,725)(244,724)(245,723)(246,727)(247,726)(248,730)
(249,729)(250,728)(251,732)(252,731)(253,735)(254,734)(255,733)(256,737)
(257,736)(258,740)(259,739)(260,738)(261,742)(262,741)(263,745)(264,744)
(265,743)(266,747)(267,746)(268,750)(269,749)(270,748)(271,752)(272,751)
(273,755)(274,754)(275,753)(276,757)(277,756)(278,760)(279,759)(280,758)
(281,762)(282,761)(283,765)(284,764)(285,763)(286,767)(287,766)(288,770)
(289,769)(290,768)(291,772)(292,771)(293,775)(294,774)(295,773)(296,777)
(297,776)(298,780)(299,779)(300,778)(301,797)(302,796)(303,800)(304,799)
(305,798)(306,802)(307,801)(308,805)(309,804)(310,803)(311,807)(312,806)
(313,810)(314,809)(315,808)(316,782)(317,781)(318,785)(319,784)(320,783)
(321,787)(322,786)(323,790)(324,789)(325,788)(326,792)(327,791)(328,795)
(329,794)(330,793)(331,827)(332,826)(333,830)(334,829)(335,828)(336,832)
(337,831)(338,835)(339,834)(340,833)(341,837)(342,836)(343,840)(344,839)
(345,838)(346,812)(347,811)(348,815)(349,814)(350,813)(351,817)(352,816)
(353,820)(354,819)(355,818)(356,822)(357,821)(358,825)(359,824)(360,823)
(361,902)(362,901)(363,905)(364,904)(365,903)(366,907)(367,906)(368,910)
(369,909)(370,908)(371,912)(372,911)(373,915)(374,914)(375,913)(376,917)
(377,916)(378,920)(379,919)(380,918)(381,922)(382,921)(383,925)(384,924)
(385,923)(386,927)(387,926)(388,930)(389,929)(390,928)(391,932)(392,931)
(393,935)(394,934)(395,933)(396,937)(397,936)(398,940)(399,939)(400,938)
(401,942)(402,941)(403,945)(404,944)(405,943)(406,947)(407,946)(408,950)
(409,949)(410,948)(411,952)(412,951)(413,955)(414,954)(415,953)(416,957)
(417,956)(418,960)(419,959)(420,958)(421,842)(422,841)(423,845)(424,844)
(425,843)(426,847)(427,846)(428,850)(429,849)(430,848)(431,852)(432,851)
(433,855)(434,854)(435,853)(436,857)(437,856)(438,860)(439,859)(440,858)
(441,862)(442,861)(443,865)(444,864)(445,863)(446,867)(447,866)(448,870)
(449,869)(450,868)(451,872)(452,871)(453,875)(454,874)(455,873)(456,877)
(457,876)(458,880)(459,879)(460,878)(461,882)(462,881)(463,885)(464,884)
(465,883)(466,887)(467,886)(468,890)(469,889)(470,888)(471,892)(472,891)
(473,895)(474,894)(475,893)(476,897)(477,896)(478,900)(479,899)(480,898);;
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, 
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*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*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)(  6,246)(  7,247)
(  8,248)(  9,249)( 10,250)( 11,251)( 12,252)( 13,253)( 14,254)( 15,255)
( 16,256)( 17,257)( 18,258)( 19,259)( 20,260)( 21,261)( 22,262)( 23,263)
( 24,264)( 25,265)( 26,266)( 27,267)( 28,268)( 29,269)( 30,270)( 31,271)
( 32,272)( 33,273)( 34,274)( 35,275)( 36,276)( 37,277)( 38,278)( 39,279)
( 40,280)( 41,281)( 42,282)( 43,283)( 44,284)( 45,285)( 46,286)( 47,287)
( 48,288)( 49,289)( 50,290)( 51,291)( 52,292)( 53,293)( 54,294)( 55,295)
( 56,296)( 57,297)( 58,298)( 59,299)( 60,300)( 61,301)( 62,302)( 63,303)
( 64,304)( 65,305)( 66,306)( 67,307)( 68,308)( 69,309)( 70,310)( 71,311)
( 72,312)( 73,313)( 74,314)( 75,315)( 76,316)( 77,317)( 78,318)( 79,319)
( 80,320)( 81,321)( 82,322)( 83,323)( 84,324)( 85,325)( 86,326)( 87,327)
( 88,328)( 89,329)( 90,330)( 91,331)( 92,332)( 93,333)( 94,334)( 95,335)
( 96,336)( 97,337)( 98,338)( 99,339)(100,340)(101,341)(102,342)(103,343)
(104,344)(105,345)(106,346)(107,347)(108,348)(109,349)(110,350)(111,351)
(112,352)(113,353)(114,354)(115,355)(116,356)(117,357)(118,358)(119,359)
(120,360)(121,361)(122,362)(123,363)(124,364)(125,365)(126,366)(127,367)
(128,368)(129,369)(130,370)(131,371)(132,372)(133,373)(134,374)(135,375)
(136,376)(137,377)(138,378)(139,379)(140,380)(141,381)(142,382)(143,383)
(144,384)(145,385)(146,386)(147,387)(148,388)(149,389)(150,390)(151,391)
(152,392)(153,393)(154,394)(155,395)(156,396)(157,397)(158,398)(159,399)
(160,400)(161,401)(162,402)(163,403)(164,404)(165,405)(166,406)(167,407)
(168,408)(169,409)(170,410)(171,411)(172,412)(173,413)(174,414)(175,415)
(176,416)(177,417)(178,418)(179,419)(180,420)(181,421)(182,422)(183,423)
(184,424)(185,425)(186,426)(187,427)(188,428)(189,429)(190,430)(191,431)
(192,432)(193,433)(194,434)(195,435)(196,436)(197,437)(198,438)(199,439)
(200,440)(201,441)(202,442)(203,443)(204,444)(205,445)(206,446)(207,447)
(208,448)(209,449)(210,450)(211,451)(212,452)(213,453)(214,454)(215,455)
(216,456)(217,457)(218,458)(219,459)(220,460)(221,461)(222,462)(223,463)
(224,464)(225,465)(226,466)(227,467)(228,468)(229,469)(230,470)(231,471)
(232,472)(233,473)(234,474)(235,475)(236,476)(237,477)(238,478)(239,479)
(240,480)(481,721)(482,722)(483,723)(484,724)(485,725)(486,726)(487,727)
(488,728)(489,729)(490,730)(491,731)(492,732)(493,733)(494,734)(495,735)
(496,736)(497,737)(498,738)(499,739)(500,740)(501,741)(502,742)(503,743)
(504,744)(505,745)(506,746)(507,747)(508,748)(509,749)(510,750)(511,751)
(512,752)(513,753)(514,754)(515,755)(516,756)(517,757)(518,758)(519,759)
(520,760)(521,761)(522,762)(523,763)(524,764)(525,765)(526,766)(527,767)
(528,768)(529,769)(530,770)(531,771)(532,772)(533,773)(534,774)(535,775)
(536,776)(537,777)(538,778)(539,779)(540,780)(541,781)(542,782)(543,783)
(544,784)(545,785)(546,786)(547,787)(548,788)(549,789)(550,790)(551,791)
(552,792)(553,793)(554,794)(555,795)(556,796)(557,797)(558,798)(559,799)
(560,800)(561,801)(562,802)(563,803)(564,804)(565,805)(566,806)(567,807)
(568,808)(569,809)(570,810)(571,811)(572,812)(573,813)(574,814)(575,815)
(576,816)(577,817)(578,818)(579,819)(580,820)(581,821)(582,822)(583,823)
(584,824)(585,825)(586,826)(587,827)(588,828)(589,829)(590,830)(591,831)
(592,832)(593,833)(594,834)(595,835)(596,836)(597,837)(598,838)(599,839)
(600,840)(601,841)(602,842)(603,843)(604,844)(605,845)(606,846)(607,847)
(608,848)(609,849)(610,850)(611,851)(612,852)(613,853)(614,854)(615,855)
(616,856)(617,857)(618,858)(619,859)(620,860)(621,861)(622,862)(623,863)
(624,864)(625,865)(626,866)(627,867)(628,868)(629,869)(630,870)(631,871)
(632,872)(633,873)(634,874)(635,875)(636,876)(637,877)(638,878)(639,879)
(640,880)(641,881)(642,882)(643,883)(644,884)(645,885)(646,886)(647,887)
(648,888)(649,889)(650,890)(651,891)(652,892)(653,893)(654,894)(655,895)
(656,896)(657,897)(658,898)(659,899)(660,900)(661,901)(662,902)(663,903)
(664,904)(665,905)(666,906)(667,907)(668,908)(669,909)(670,910)(671,911)
(672,912)(673,913)(674,914)(675,915)(676,916)(677,917)(678,918)(679,919)
(680,920)(681,921)(682,922)(683,923)(684,924)(685,925)(686,926)(687,927)
(688,928)(689,929)(690,930)(691,931)(692,932)(693,933)(694,934)(695,935)
(696,936)(697,937)(698,938)(699,939)(700,940)(701,941)(702,942)(703,943)
(704,944)(705,945)(706,946)(707,947)(708,948)(709,949)(710,950)(711,951)
(712,952)(713,953)(714,954)(715,955)(716,956)(717,957)(718,958)(719,959)
(720,960);
s1 := Sym(960)!(  1,181)(  2,182)(  3,183)(  4,184)(  5,185)(  6,191)(  7,192)
(  8,193)(  9,194)( 10,195)( 11,186)( 12,187)( 13,188)( 14,189)( 15,190)
( 16,196)( 17,197)( 18,198)( 19,199)( 20,200)( 21,206)( 22,207)( 23,208)
( 24,209)( 25,210)( 26,201)( 27,202)( 28,203)( 29,204)( 30,205)( 31,211)
( 32,212)( 33,213)( 34,214)( 35,215)( 36,221)( 37,222)( 38,223)( 39,224)
( 40,225)( 41,216)( 42,217)( 43,218)( 44,219)( 45,220)( 46,226)( 47,227)
( 48,228)( 49,229)( 50,230)( 51,236)( 52,237)( 53,238)( 54,239)( 55,240)
( 56,231)( 57,232)( 58,233)( 59,234)( 60,235)( 61,136)( 62,137)( 63,138)
( 64,139)( 65,140)( 66,146)( 67,147)( 68,148)( 69,149)( 70,150)( 71,141)
( 72,142)( 73,143)( 74,144)( 75,145)( 76,121)( 77,122)( 78,123)( 79,124)
( 80,125)( 81,131)( 82,132)( 83,133)( 84,134)( 85,135)( 86,126)( 87,127)
( 88,128)( 89,129)( 90,130)( 91,166)( 92,167)( 93,168)( 94,169)( 95,170)
( 96,176)( 97,177)( 98,178)( 99,179)(100,180)(101,171)(102,172)(103,173)
(104,174)(105,175)(106,151)(107,152)(108,153)(109,154)(110,155)(111,161)
(112,162)(113,163)(114,164)(115,165)(116,156)(117,157)(118,158)(119,159)
(120,160)(241,451)(242,452)(243,453)(244,454)(245,455)(246,461)(247,462)
(248,463)(249,464)(250,465)(251,456)(252,457)(253,458)(254,459)(255,460)
(256,466)(257,467)(258,468)(259,469)(260,470)(261,476)(262,477)(263,478)
(264,479)(265,480)(266,471)(267,472)(268,473)(269,474)(270,475)(271,421)
(272,422)(273,423)(274,424)(275,425)(276,431)(277,432)(278,433)(279,434)
(280,435)(281,426)(282,427)(283,428)(284,429)(285,430)(286,436)(287,437)
(288,438)(289,439)(290,440)(291,446)(292,447)(293,448)(294,449)(295,450)
(296,441)(297,442)(298,443)(299,444)(300,445)(301,406)(302,407)(303,408)
(304,409)(305,410)(306,416)(307,417)(308,418)(309,419)(310,420)(311,411)
(312,412)(313,413)(314,414)(315,415)(316,391)(317,392)(318,393)(319,394)
(320,395)(321,401)(322,402)(323,403)(324,404)(325,405)(326,396)(327,397)
(328,398)(329,399)(330,400)(331,376)(332,377)(333,378)(334,379)(335,380)
(336,386)(337,387)(338,388)(339,389)(340,390)(341,381)(342,382)(343,383)
(344,384)(345,385)(346,361)(347,362)(348,363)(349,364)(350,365)(351,371)
(352,372)(353,373)(354,374)(355,375)(356,366)(357,367)(358,368)(359,369)
(360,370)(481,601)(482,602)(483,603)(484,604)(485,605)(486,611)(487,612)
(488,613)(489,614)(490,615)(491,606)(492,607)(493,608)(494,609)(495,610)
(496,616)(497,617)(498,618)(499,619)(500,620)(501,626)(502,627)(503,628)
(504,629)(505,630)(506,621)(507,622)(508,623)(509,624)(510,625)(511,631)
(512,632)(513,633)(514,634)(515,635)(516,641)(517,642)(518,643)(519,644)
(520,645)(521,636)(522,637)(523,638)(524,639)(525,640)(526,646)(527,647)
(528,648)(529,649)(530,650)(531,656)(532,657)(533,658)(534,659)(535,660)
(536,651)(537,652)(538,653)(539,654)(540,655)(541,661)(542,662)(543,663)
(544,664)(545,665)(546,671)(547,672)(548,673)(549,674)(550,675)(551,666)
(552,667)(553,668)(554,669)(555,670)(556,676)(557,677)(558,678)(559,679)
(560,680)(561,686)(562,687)(563,688)(564,689)(565,690)(566,681)(567,682)
(568,683)(569,684)(570,685)(571,691)(572,692)(573,693)(574,694)(575,695)
(576,701)(577,702)(578,703)(579,704)(580,705)(581,696)(582,697)(583,698)
(584,699)(585,700)(586,706)(587,707)(588,708)(589,709)(590,710)(591,716)
(592,717)(593,718)(594,719)(595,720)(596,711)(597,712)(598,713)(599,714)
(600,715)(721,871)(722,872)(723,873)(724,874)(725,875)(726,881)(727,882)
(728,883)(729,884)(730,885)(731,876)(732,877)(733,878)(734,879)(735,880)
(736,886)(737,887)(738,888)(739,889)(740,890)(741,896)(742,897)(743,898)
(744,899)(745,900)(746,891)(747,892)(748,893)(749,894)(750,895)(751,841)
(752,842)(753,843)(754,844)(755,845)(756,851)(757,852)(758,853)(759,854)
(760,855)(761,846)(762,847)(763,848)(764,849)(765,850)(766,856)(767,857)
(768,858)(769,859)(770,860)(771,866)(772,867)(773,868)(774,869)(775,870)
(776,861)(777,862)(778,863)(779,864)(780,865)(781,931)(782,932)(783,933)
(784,934)(785,935)(786,941)(787,942)(788,943)(789,944)(790,945)(791,936)
(792,937)(793,938)(794,939)(795,940)(796,946)(797,947)(798,948)(799,949)
(800,950)(801,956)(802,957)(803,958)(804,959)(805,960)(806,951)(807,952)
(808,953)(809,954)(810,955)(811,901)(812,902)(813,903)(814,904)(815,905)
(816,911)(817,912)(818,913)(819,914)(820,915)(821,906)(822,907)(823,908)
(824,909)(825,910)(826,916)(827,917)(828,918)(829,919)(830,920)(831,926)
(832,927)(833,928)(834,929)(835,930)(836,921)(837,922)(838,923)(839,924)
(840,925);
s2 := Sym(960)!(  1,126)(  2,130)(  3,129)(  4,128)(  5,127)(  6,121)(  7,125)
(  8,124)(  9,123)( 10,122)( 11,131)( 12,135)( 13,134)( 14,133)( 15,132)
( 16,141)( 17,145)( 18,144)( 19,143)( 20,142)( 21,136)( 22,140)( 23,139)
( 24,138)( 25,137)( 26,146)( 27,150)( 28,149)( 29,148)( 30,147)( 31,156)
( 32,160)( 33,159)( 34,158)( 35,157)( 36,151)( 37,155)( 38,154)( 39,153)
( 40,152)( 41,161)( 42,165)( 43,164)( 44,163)( 45,162)( 46,171)( 47,175)
( 48,174)( 49,173)( 50,172)( 51,166)( 52,170)( 53,169)( 54,168)( 55,167)
( 56,176)( 57,180)( 58,179)( 59,178)( 60,177)( 61,201)( 62,205)( 63,204)
( 64,203)( 65,202)( 66,196)( 67,200)( 68,199)( 69,198)( 70,197)( 71,206)
( 72,210)( 73,209)( 74,208)( 75,207)( 76,186)( 77,190)( 78,189)( 79,188)
( 80,187)( 81,181)( 82,185)( 83,184)( 84,183)( 85,182)( 86,191)( 87,195)
( 88,194)( 89,193)( 90,192)( 91,231)( 92,235)( 93,234)( 94,233)( 95,232)
( 96,226)( 97,230)( 98,229)( 99,228)(100,227)(101,236)(102,240)(103,239)
(104,238)(105,237)(106,216)(107,220)(108,219)(109,218)(110,217)(111,211)
(112,215)(113,214)(114,213)(115,212)(116,221)(117,225)(118,224)(119,223)
(120,222)(241,366)(242,370)(243,369)(244,368)(245,367)(246,361)(247,365)
(248,364)(249,363)(250,362)(251,371)(252,375)(253,374)(254,373)(255,372)
(256,381)(257,385)(258,384)(259,383)(260,382)(261,376)(262,380)(263,379)
(264,378)(265,377)(266,386)(267,390)(268,389)(269,388)(270,387)(271,396)
(272,400)(273,399)(274,398)(275,397)(276,391)(277,395)(278,394)(279,393)
(280,392)(281,401)(282,405)(283,404)(284,403)(285,402)(286,411)(287,415)
(288,414)(289,413)(290,412)(291,406)(292,410)(293,409)(294,408)(295,407)
(296,416)(297,420)(298,419)(299,418)(300,417)(301,441)(302,445)(303,444)
(304,443)(305,442)(306,436)(307,440)(308,439)(309,438)(310,437)(311,446)
(312,450)(313,449)(314,448)(315,447)(316,426)(317,430)(318,429)(319,428)
(320,427)(321,421)(322,425)(323,424)(324,423)(325,422)(326,431)(327,435)
(328,434)(329,433)(330,432)(331,471)(332,475)(333,474)(334,473)(335,472)
(336,466)(337,470)(338,469)(339,468)(340,467)(341,476)(342,480)(343,479)
(344,478)(345,477)(346,456)(347,460)(348,459)(349,458)(350,457)(351,451)
(352,455)(353,454)(354,453)(355,452)(356,461)(357,465)(358,464)(359,463)
(360,462)(481,606)(482,610)(483,609)(484,608)(485,607)(486,601)(487,605)
(488,604)(489,603)(490,602)(491,611)(492,615)(493,614)(494,613)(495,612)
(496,621)(497,625)(498,624)(499,623)(500,622)(501,616)(502,620)(503,619)
(504,618)(505,617)(506,626)(507,630)(508,629)(509,628)(510,627)(511,636)
(512,640)(513,639)(514,638)(515,637)(516,631)(517,635)(518,634)(519,633)
(520,632)(521,641)(522,645)(523,644)(524,643)(525,642)(526,651)(527,655)
(528,654)(529,653)(530,652)(531,646)(532,650)(533,649)(534,648)(535,647)
(536,656)(537,660)(538,659)(539,658)(540,657)(541,681)(542,685)(543,684)
(544,683)(545,682)(546,676)(547,680)(548,679)(549,678)(550,677)(551,686)
(552,690)(553,689)(554,688)(555,687)(556,666)(557,670)(558,669)(559,668)
(560,667)(561,661)(562,665)(563,664)(564,663)(565,662)(566,671)(567,675)
(568,674)(569,673)(570,672)(571,711)(572,715)(573,714)(574,713)(575,712)
(576,706)(577,710)(578,709)(579,708)(580,707)(581,716)(582,720)(583,719)
(584,718)(585,717)(586,696)(587,700)(588,699)(589,698)(590,697)(591,691)
(592,695)(593,694)(594,693)(595,692)(596,701)(597,705)(598,704)(599,703)
(600,702)(721,846)(722,850)(723,849)(724,848)(725,847)(726,841)(727,845)
(728,844)(729,843)(730,842)(731,851)(732,855)(733,854)(734,853)(735,852)
(736,861)(737,865)(738,864)(739,863)(740,862)(741,856)(742,860)(743,859)
(744,858)(745,857)(746,866)(747,870)(748,869)(749,868)(750,867)(751,876)
(752,880)(753,879)(754,878)(755,877)(756,871)(757,875)(758,874)(759,873)
(760,872)(761,881)(762,885)(763,884)(764,883)(765,882)(766,891)(767,895)
(768,894)(769,893)(770,892)(771,886)(772,890)(773,889)(774,888)(775,887)
(776,896)(777,900)(778,899)(779,898)(780,897)(781,921)(782,925)(783,924)
(784,923)(785,922)(786,916)(787,920)(788,919)(789,918)(790,917)(791,926)
(792,930)(793,929)(794,928)(795,927)(796,906)(797,910)(798,909)(799,908)
(800,907)(801,901)(802,905)(803,904)(804,903)(805,902)(806,911)(807,915)
(808,914)(809,913)(810,912)(811,951)(812,955)(813,954)(814,953)(815,952)
(816,946)(817,950)(818,949)(819,948)(820,947)(821,956)(822,960)(823,959)
(824,958)(825,957)(826,936)(827,940)(828,939)(829,938)(830,937)(831,931)
(832,935)(833,934)(834,933)(835,932)(836,941)(837,945)(838,944)(839,943)
(840,942);
s3 := Sym(960)!(  1,482)(  2,481)(  3,485)(  4,484)(  5,483)(  6,487)(  7,486)
(  8,490)(  9,489)( 10,488)( 11,492)( 12,491)( 13,495)( 14,494)( 15,493)
( 16,497)( 17,496)( 18,500)( 19,499)( 20,498)( 21,502)( 22,501)( 23,505)
( 24,504)( 25,503)( 26,507)( 27,506)( 28,510)( 29,509)( 30,508)( 31,512)
( 32,511)( 33,515)( 34,514)( 35,513)( 36,517)( 37,516)( 38,520)( 39,519)
( 40,518)( 41,522)( 42,521)( 43,525)( 44,524)( 45,523)( 46,527)( 47,526)
( 48,530)( 49,529)( 50,528)( 51,532)( 52,531)( 53,535)( 54,534)( 55,533)
( 56,537)( 57,536)( 58,540)( 59,539)( 60,538)( 61,557)( 62,556)( 63,560)
( 64,559)( 65,558)( 66,562)( 67,561)( 68,565)( 69,564)( 70,563)( 71,567)
( 72,566)( 73,570)( 74,569)( 75,568)( 76,542)( 77,541)( 78,545)( 79,544)
( 80,543)( 81,547)( 82,546)( 83,550)( 84,549)( 85,548)( 86,552)( 87,551)
( 88,555)( 89,554)( 90,553)( 91,587)( 92,586)( 93,590)( 94,589)( 95,588)
( 96,592)( 97,591)( 98,595)( 99,594)(100,593)(101,597)(102,596)(103,600)
(104,599)(105,598)(106,572)(107,571)(108,575)(109,574)(110,573)(111,577)
(112,576)(113,580)(114,579)(115,578)(116,582)(117,581)(118,585)(119,584)
(120,583)(121,662)(122,661)(123,665)(124,664)(125,663)(126,667)(127,666)
(128,670)(129,669)(130,668)(131,672)(132,671)(133,675)(134,674)(135,673)
(136,677)(137,676)(138,680)(139,679)(140,678)(141,682)(142,681)(143,685)
(144,684)(145,683)(146,687)(147,686)(148,690)(149,689)(150,688)(151,692)
(152,691)(153,695)(154,694)(155,693)(156,697)(157,696)(158,700)(159,699)
(160,698)(161,702)(162,701)(163,705)(164,704)(165,703)(166,707)(167,706)
(168,710)(169,709)(170,708)(171,712)(172,711)(173,715)(174,714)(175,713)
(176,717)(177,716)(178,720)(179,719)(180,718)(181,602)(182,601)(183,605)
(184,604)(185,603)(186,607)(187,606)(188,610)(189,609)(190,608)(191,612)
(192,611)(193,615)(194,614)(195,613)(196,617)(197,616)(198,620)(199,619)
(200,618)(201,622)(202,621)(203,625)(204,624)(205,623)(206,627)(207,626)
(208,630)(209,629)(210,628)(211,632)(212,631)(213,635)(214,634)(215,633)
(216,637)(217,636)(218,640)(219,639)(220,638)(221,642)(222,641)(223,645)
(224,644)(225,643)(226,647)(227,646)(228,650)(229,649)(230,648)(231,652)
(232,651)(233,655)(234,654)(235,653)(236,657)(237,656)(238,660)(239,659)
(240,658)(241,722)(242,721)(243,725)(244,724)(245,723)(246,727)(247,726)
(248,730)(249,729)(250,728)(251,732)(252,731)(253,735)(254,734)(255,733)
(256,737)(257,736)(258,740)(259,739)(260,738)(261,742)(262,741)(263,745)
(264,744)(265,743)(266,747)(267,746)(268,750)(269,749)(270,748)(271,752)
(272,751)(273,755)(274,754)(275,753)(276,757)(277,756)(278,760)(279,759)
(280,758)(281,762)(282,761)(283,765)(284,764)(285,763)(286,767)(287,766)
(288,770)(289,769)(290,768)(291,772)(292,771)(293,775)(294,774)(295,773)
(296,777)(297,776)(298,780)(299,779)(300,778)(301,797)(302,796)(303,800)
(304,799)(305,798)(306,802)(307,801)(308,805)(309,804)(310,803)(311,807)
(312,806)(313,810)(314,809)(315,808)(316,782)(317,781)(318,785)(319,784)
(320,783)(321,787)(322,786)(323,790)(324,789)(325,788)(326,792)(327,791)
(328,795)(329,794)(330,793)(331,827)(332,826)(333,830)(334,829)(335,828)
(336,832)(337,831)(338,835)(339,834)(340,833)(341,837)(342,836)(343,840)
(344,839)(345,838)(346,812)(347,811)(348,815)(349,814)(350,813)(351,817)
(352,816)(353,820)(354,819)(355,818)(356,822)(357,821)(358,825)(359,824)
(360,823)(361,902)(362,901)(363,905)(364,904)(365,903)(366,907)(367,906)
(368,910)(369,909)(370,908)(371,912)(372,911)(373,915)(374,914)(375,913)
(376,917)(377,916)(378,920)(379,919)(380,918)(381,922)(382,921)(383,925)
(384,924)(385,923)(386,927)(387,926)(388,930)(389,929)(390,928)(391,932)
(392,931)(393,935)(394,934)(395,933)(396,937)(397,936)(398,940)(399,939)
(400,938)(401,942)(402,941)(403,945)(404,944)(405,943)(406,947)(407,946)
(408,950)(409,949)(410,948)(411,952)(412,951)(413,955)(414,954)(415,953)
(416,957)(417,956)(418,960)(419,959)(420,958)(421,842)(422,841)(423,845)
(424,844)(425,843)(426,847)(427,846)(428,850)(429,849)(430,848)(431,852)
(432,851)(433,855)(434,854)(435,853)(436,857)(437,856)(438,860)(439,859)
(440,858)(441,862)(442,861)(443,865)(444,864)(445,863)(446,867)(447,866)
(448,870)(449,869)(450,868)(451,872)(452,871)(453,875)(454,874)(455,873)
(456,877)(457,876)(458,880)(459,879)(460,878)(461,882)(462,881)(463,885)
(464,884)(465,883)(466,887)(467,886)(468,890)(469,889)(470,888)(471,892)
(472,891)(473,895)(474,894)(475,893)(476,897)(477,896)(478,900)(479,899)
(480,898);
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, 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*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3 >; 
 
References : None.
to this polytope