Polytope of Type {10,6,16}

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