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Polytope of Type {24,4,10}

This page is part of the Atlas of Small Regular Polytopes
Atlas Canonical Name : {24,4,10}*1920b
if this polytope has a name.
Group : SmallGroup(1920,150682)
Rank : 4
Schlafli Type : {24,4,10}
Number of vertices, edges, etc : 24, 48, 20, 10
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 : {12,4,10}*960
   3-fold quotients : {8,4,10}*640b
   4-fold quotients : {12,2,10}*480, {6,4,10}*480
   5-fold quotients : {24,4,2}*384b
   6-fold quotients : {4,4,10}*320
   8-fold quotients : {12,2,5}*240, {6,2,10}*240
   10-fold quotients : {12,4,2}*192a
   12-fold quotients : {2,4,10}*160, {4,2,10}*160
   15-fold quotients : {8,4,2}*128b
   16-fold quotients : {3,2,10}*120, {6,2,5}*120
   20-fold quotients : {12,2,2}*96, {6,4,2}*96a
   24-fold quotients : {4,2,5}*80, {2,2,10}*80
   30-fold quotients : {4,4,2}*64
   32-fold quotients : {3,2,5}*60
   40-fold quotients : {6,2,2}*48
   48-fold quotients : {2,2,5}*40
   60-fold quotients : {2,4,2}*32, {4,2,2}*32
   80-fold quotients : {3,2,2}*24
   120-fold quotients : {2,2,2}*16
Covers (Minimal Covers in Boldface) :
   None in this atlas.
Permutation Representation (GAP) :
s0 := (  1,481)(  2,482)(  3,483)(  4,484)(  5,485)(  6,491)(  7,492)(  8,493)
(  9,494)( 10,495)( 11,486)( 12,487)( 13,488)( 14,489)( 15,490)( 16,496)
( 17,497)( 18,498)( 19,499)( 20,500)( 21,506)( 22,507)( 23,508)( 24,509)
( 25,510)( 26,501)( 27,502)( 28,503)( 29,504)( 30,505)( 31,526)( 32,527)
( 33,528)( 34,529)( 35,530)( 36,536)( 37,537)( 38,538)( 39,539)( 40,540)
( 41,531)( 42,532)( 43,533)( 44,534)( 45,535)( 46,511)( 47,512)( 48,513)
( 49,514)( 50,515)( 51,521)( 52,522)( 53,523)( 54,524)( 55,525)( 56,516)
( 57,517)( 58,518)( 59,519)( 60,520)( 61,556)( 62,557)( 63,558)( 64,559)
( 65,560)( 66,566)( 67,567)( 68,568)( 69,569)( 70,570)( 71,561)( 72,562)
( 73,563)( 74,564)( 75,565)( 76,541)( 77,542)( 78,543)( 79,544)( 80,545)
( 81,551)( 82,552)( 83,553)( 84,554)( 85,555)( 86,546)( 87,547)( 88,548)
( 89,549)( 90,550)( 91,571)( 92,572)( 93,573)( 94,574)( 95,575)( 96,581)
( 97,582)( 98,583)( 99,584)(100,585)(101,576)(102,577)(103,578)(104,579)
(105,580)(106,586)(107,587)(108,588)(109,589)(110,590)(111,596)(112,597)
(113,598)(114,599)(115,600)(116,591)(117,592)(118,593)(119,594)(120,595)
(121,601)(122,602)(123,603)(124,604)(125,605)(126,611)(127,612)(128,613)
(129,614)(130,615)(131,606)(132,607)(133,608)(134,609)(135,610)(136,616)
(137,617)(138,618)(139,619)(140,620)(141,626)(142,627)(143,628)(144,629)
(145,630)(146,621)(147,622)(148,623)(149,624)(150,625)(151,646)(152,647)
(153,648)(154,649)(155,650)(156,656)(157,657)(158,658)(159,659)(160,660)
(161,651)(162,652)(163,653)(164,654)(165,655)(166,631)(167,632)(168,633)
(169,634)(170,635)(171,641)(172,642)(173,643)(174,644)(175,645)(176,636)
(177,637)(178,638)(179,639)(180,640)(181,676)(182,677)(183,678)(184,679)
(185,680)(186,686)(187,687)(188,688)(189,689)(190,690)(191,681)(192,682)
(193,683)(194,684)(195,685)(196,661)(197,662)(198,663)(199,664)(200,665)
(201,671)(202,672)(203,673)(204,674)(205,675)(206,666)(207,667)(208,668)
(209,669)(210,670)(211,691)(212,692)(213,693)(214,694)(215,695)(216,701)
(217,702)(218,703)(219,704)(220,705)(221,696)(222,697)(223,698)(224,699)
(225,700)(226,706)(227,707)(228,708)(229,709)(230,710)(231,716)(232,717)
(233,718)(234,719)(235,720)(236,711)(237,712)(238,713)(239,714)(240,715)
(241,721)(242,722)(243,723)(244,724)(245,725)(246,731)(247,732)(248,733)
(249,734)(250,735)(251,726)(252,727)(253,728)(254,729)(255,730)(256,736)
(257,737)(258,738)(259,739)(260,740)(261,746)(262,747)(263,748)(264,749)
(265,750)(266,741)(267,742)(268,743)(269,744)(270,745)(271,766)(272,767)
(273,768)(274,769)(275,770)(276,776)(277,777)(278,778)(279,779)(280,780)
(281,771)(282,772)(283,773)(284,774)(285,775)(286,751)(287,752)(288,753)
(289,754)(290,755)(291,761)(292,762)(293,763)(294,764)(295,765)(296,756)
(297,757)(298,758)(299,759)(300,760)(301,796)(302,797)(303,798)(304,799)
(305,800)(306,806)(307,807)(308,808)(309,809)(310,810)(311,801)(312,802)
(313,803)(314,804)(315,805)(316,781)(317,782)(318,783)(319,784)(320,785)
(321,791)(322,792)(323,793)(324,794)(325,795)(326,786)(327,787)(328,788)
(329,789)(330,790)(331,811)(332,812)(333,813)(334,814)(335,815)(336,821)
(337,822)(338,823)(339,824)(340,825)(341,816)(342,817)(343,818)(344,819)
(345,820)(346,826)(347,827)(348,828)(349,829)(350,830)(351,836)(352,837)
(353,838)(354,839)(355,840)(356,831)(357,832)(358,833)(359,834)(360,835)
(361,841)(362,842)(363,843)(364,844)(365,845)(366,851)(367,852)(368,853)
(369,854)(370,855)(371,846)(372,847)(373,848)(374,849)(375,850)(376,856)
(377,857)(378,858)(379,859)(380,860)(381,866)(382,867)(383,868)(384,869)
(385,870)(386,861)(387,862)(388,863)(389,864)(390,865)(391,886)(392,887)
(393,888)(394,889)(395,890)(396,896)(397,897)(398,898)(399,899)(400,900)
(401,891)(402,892)(403,893)(404,894)(405,895)(406,871)(407,872)(408,873)
(409,874)(410,875)(411,881)(412,882)(413,883)(414,884)(415,885)(416,876)
(417,877)(418,878)(419,879)(420,880)(421,916)(422,917)(423,918)(424,919)
(425,920)(426,926)(427,927)(428,928)(429,929)(430,930)(431,921)(432,922)
(433,923)(434,924)(435,925)(436,901)(437,902)(438,903)(439,904)(440,905)
(441,911)(442,912)(443,913)(444,914)(445,915)(446,906)(447,907)(448,908)
(449,909)(450,910)(451,931)(452,932)(453,933)(454,934)(455,935)(456,941)
(457,942)(458,943)(459,944)(460,945)(461,936)(462,937)(463,938)(464,939)
(465,940)(466,946)(467,947)(468,948)(469,949)(470,950)(471,956)(472,957)
(473,958)(474,959)(475,960)(476,951)(477,952)(478,953)(479,954)(480,955);;
s1 := (  1,  6)(  2,  7)(  3,  8)(  4,  9)(  5, 10)( 16, 21)( 17, 22)( 18, 23)
( 19, 24)( 20, 25)( 31, 36)( 32, 37)( 33, 38)( 34, 39)( 35, 40)( 46, 51)
( 47, 52)( 48, 53)( 49, 54)( 50, 55)( 61, 81)( 62, 82)( 63, 83)( 64, 84)
( 65, 85)( 66, 76)( 67, 77)( 68, 78)( 69, 79)( 70, 80)( 71, 86)( 72, 87)
( 73, 88)( 74, 89)( 75, 90)( 91,111)( 92,112)( 93,113)( 94,114)( 95,115)
( 96,106)( 97,107)( 98,108)( 99,109)(100,110)(101,116)(102,117)(103,118)
(104,119)(105,120)(121,126)(122,127)(123,128)(124,129)(125,130)(136,141)
(137,142)(138,143)(139,144)(140,145)(151,156)(152,157)(153,158)(154,159)
(155,160)(166,171)(167,172)(168,173)(169,174)(170,175)(181,201)(182,202)
(183,203)(184,204)(185,205)(186,196)(187,197)(188,198)(189,199)(190,200)
(191,206)(192,207)(193,208)(194,209)(195,210)(211,231)(212,232)(213,233)
(214,234)(215,235)(216,226)(217,227)(218,228)(219,229)(220,230)(221,236)
(222,237)(223,238)(224,239)(225,240)(241,276)(242,277)(243,278)(244,279)
(245,280)(246,271)(247,272)(248,273)(249,274)(250,275)(251,281)(252,282)
(253,283)(254,284)(255,285)(256,291)(257,292)(258,293)(259,294)(260,295)
(261,286)(262,287)(263,288)(264,289)(265,290)(266,296)(267,297)(268,298)
(269,299)(270,300)(301,351)(302,352)(303,353)(304,354)(305,355)(306,346)
(307,347)(308,348)(309,349)(310,350)(311,356)(312,357)(313,358)(314,359)
(315,360)(316,336)(317,337)(318,338)(319,339)(320,340)(321,331)(322,332)
(323,333)(324,334)(325,335)(326,341)(327,342)(328,343)(329,344)(330,345)
(361,396)(362,397)(363,398)(364,399)(365,400)(366,391)(367,392)(368,393)
(369,394)(370,395)(371,401)(372,402)(373,403)(374,404)(375,405)(376,411)
(377,412)(378,413)(379,414)(380,415)(381,406)(382,407)(383,408)(384,409)
(385,410)(386,416)(387,417)(388,418)(389,419)(390,420)(421,471)(422,472)
(423,473)(424,474)(425,475)(426,466)(427,467)(428,468)(429,469)(430,470)
(431,476)(432,477)(433,478)(434,479)(435,480)(436,456)(437,457)(438,458)
(439,459)(440,460)(441,451)(442,452)(443,453)(444,454)(445,455)(446,461)
(447,462)(448,463)(449,464)(450,465)(481,546)(482,547)(483,548)(484,549)
(485,550)(486,541)(487,542)(488,543)(489,544)(490,545)(491,551)(492,552)
(493,553)(494,554)(495,555)(496,561)(497,562)(498,563)(499,564)(500,565)
(501,556)(502,557)(503,558)(504,559)(505,560)(506,566)(507,567)(508,568)
(509,569)(510,570)(511,576)(512,577)(513,578)(514,579)(515,580)(516,571)
(517,572)(518,573)(519,574)(520,575)(521,581)(522,582)(523,583)(524,584)
(525,585)(526,591)(527,592)(528,593)(529,594)(530,595)(531,586)(532,587)
(533,588)(534,589)(535,590)(536,596)(537,597)(538,598)(539,599)(540,600)
(601,666)(602,667)(603,668)(604,669)(605,670)(606,661)(607,662)(608,663)
(609,664)(610,665)(611,671)(612,672)(613,673)(614,674)(615,675)(616,681)
(617,682)(618,683)(619,684)(620,685)(621,676)(622,677)(623,678)(624,679)
(625,680)(626,686)(627,687)(628,688)(629,689)(630,690)(631,696)(632,697)
(633,698)(634,699)(635,700)(636,691)(637,692)(638,693)(639,694)(640,695)
(641,701)(642,702)(643,703)(644,704)(645,705)(646,711)(647,712)(648,713)
(649,714)(650,715)(651,706)(652,707)(653,708)(654,709)(655,710)(656,716)
(657,717)(658,718)(659,719)(660,720)(721,831)(722,832)(723,833)(724,834)
(725,835)(726,826)(727,827)(728,828)(729,829)(730,830)(731,836)(732,837)
(733,838)(734,839)(735,840)(736,816)(737,817)(738,818)(739,819)(740,820)
(741,811)(742,812)(743,813)(744,814)(745,815)(746,821)(747,822)(748,823)
(749,824)(750,825)(751,801)(752,802)(753,803)(754,804)(755,805)(756,796)
(757,797)(758,798)(759,799)(760,800)(761,806)(762,807)(763,808)(764,809)
(765,810)(766,786)(767,787)(768,788)(769,789)(770,790)(771,781)(772,782)
(773,783)(774,784)(775,785)(776,791)(777,792)(778,793)(779,794)(780,795)
(841,951)(842,952)(843,953)(844,954)(845,955)(846,946)(847,947)(848,948)
(849,949)(850,950)(851,956)(852,957)(853,958)(854,959)(855,960)(856,936)
(857,937)(858,938)(859,939)(860,940)(861,931)(862,932)(863,933)(864,934)
(865,935)(866,941)(867,942)(868,943)(869,944)(870,945)(871,921)(872,922)
(873,923)(874,924)(875,925)(876,916)(877,917)(878,918)(879,919)(880,920)
(881,926)(882,927)(883,928)(884,929)(885,930)(886,906)(887,907)(888,908)
(889,909)(890,910)(891,901)(892,902)(893,903)(894,904)(895,905)(896,911)
(897,912)(898,913)(899,914)(900,915);;
s2 := (  1,361)(  2,365)(  3,364)(  4,363)(  5,362)(  6,366)(  7,370)(  8,369)
(  9,368)( 10,367)( 11,371)( 12,375)( 13,374)( 14,373)( 15,372)( 16,376)
( 17,380)( 18,379)( 19,378)( 20,377)( 21,381)( 22,385)( 23,384)( 24,383)
( 25,382)( 26,386)( 27,390)( 28,389)( 29,388)( 30,387)( 31,391)( 32,395)
( 33,394)( 34,393)( 35,392)( 36,396)( 37,400)( 38,399)( 39,398)( 40,397)
( 41,401)( 42,405)( 43,404)( 44,403)( 45,402)( 46,406)( 47,410)( 48,409)
( 49,408)( 50,407)( 51,411)( 52,415)( 53,414)( 54,413)( 55,412)( 56,416)
( 57,420)( 58,419)( 59,418)( 60,417)( 61,436)( 62,440)( 63,439)( 64,438)
( 65,437)( 66,441)( 67,445)( 68,444)( 69,443)( 70,442)( 71,446)( 72,450)
( 73,449)( 74,448)( 75,447)( 76,421)( 77,425)( 78,424)( 79,423)( 80,422)
( 81,426)( 82,430)( 83,429)( 84,428)( 85,427)( 86,431)( 87,435)( 88,434)
( 89,433)( 90,432)( 91,466)( 92,470)( 93,469)( 94,468)( 95,467)( 96,471)
( 97,475)( 98,474)( 99,473)(100,472)(101,476)(102,480)(103,479)(104,478)
(105,477)(106,451)(107,455)(108,454)(109,453)(110,452)(111,456)(112,460)
(113,459)(114,458)(115,457)(116,461)(117,465)(118,464)(119,463)(120,462)
(121,241)(122,245)(123,244)(124,243)(125,242)(126,246)(127,250)(128,249)
(129,248)(130,247)(131,251)(132,255)(133,254)(134,253)(135,252)(136,256)
(137,260)(138,259)(139,258)(140,257)(141,261)(142,265)(143,264)(144,263)
(145,262)(146,266)(147,270)(148,269)(149,268)(150,267)(151,271)(152,275)
(153,274)(154,273)(155,272)(156,276)(157,280)(158,279)(159,278)(160,277)
(161,281)(162,285)(163,284)(164,283)(165,282)(166,286)(167,290)(168,289)
(169,288)(170,287)(171,291)(172,295)(173,294)(174,293)(175,292)(176,296)
(177,300)(178,299)(179,298)(180,297)(181,316)(182,320)(183,319)(184,318)
(185,317)(186,321)(187,325)(188,324)(189,323)(190,322)(191,326)(192,330)
(193,329)(194,328)(195,327)(196,301)(197,305)(198,304)(199,303)(200,302)
(201,306)(202,310)(203,309)(204,308)(205,307)(206,311)(207,315)(208,314)
(209,313)(210,312)(211,346)(212,350)(213,349)(214,348)(215,347)(216,351)
(217,355)(218,354)(219,353)(220,352)(221,356)(222,360)(223,359)(224,358)
(225,357)(226,331)(227,335)(228,334)(229,333)(230,332)(231,336)(232,340)
(233,339)(234,338)(235,337)(236,341)(237,345)(238,344)(239,343)(240,342)
(481,841)(482,845)(483,844)(484,843)(485,842)(486,846)(487,850)(488,849)
(489,848)(490,847)(491,851)(492,855)(493,854)(494,853)(495,852)(496,856)
(497,860)(498,859)(499,858)(500,857)(501,861)(502,865)(503,864)(504,863)
(505,862)(506,866)(507,870)(508,869)(509,868)(510,867)(511,871)(512,875)
(513,874)(514,873)(515,872)(516,876)(517,880)(518,879)(519,878)(520,877)
(521,881)(522,885)(523,884)(524,883)(525,882)(526,886)(527,890)(528,889)
(529,888)(530,887)(531,891)(532,895)(533,894)(534,893)(535,892)(536,896)
(537,900)(538,899)(539,898)(540,897)(541,916)(542,920)(543,919)(544,918)
(545,917)(546,921)(547,925)(548,924)(549,923)(550,922)(551,926)(552,930)
(553,929)(554,928)(555,927)(556,901)(557,905)(558,904)(559,903)(560,902)
(561,906)(562,910)(563,909)(564,908)(565,907)(566,911)(567,915)(568,914)
(569,913)(570,912)(571,946)(572,950)(573,949)(574,948)(575,947)(576,951)
(577,955)(578,954)(579,953)(580,952)(581,956)(582,960)(583,959)(584,958)
(585,957)(586,931)(587,935)(588,934)(589,933)(590,932)(591,936)(592,940)
(593,939)(594,938)(595,937)(596,941)(597,945)(598,944)(599,943)(600,942)
(601,721)(602,725)(603,724)(604,723)(605,722)(606,726)(607,730)(608,729)
(609,728)(610,727)(611,731)(612,735)(613,734)(614,733)(615,732)(616,736)
(617,740)(618,739)(619,738)(620,737)(621,741)(622,745)(623,744)(624,743)
(625,742)(626,746)(627,750)(628,749)(629,748)(630,747)(631,751)(632,755)
(633,754)(634,753)(635,752)(636,756)(637,760)(638,759)(639,758)(640,757)
(641,761)(642,765)(643,764)(644,763)(645,762)(646,766)(647,770)(648,769)
(649,768)(650,767)(651,771)(652,775)(653,774)(654,773)(655,772)(656,776)
(657,780)(658,779)(659,778)(660,777)(661,796)(662,800)(663,799)(664,798)
(665,797)(666,801)(667,805)(668,804)(669,803)(670,802)(671,806)(672,810)
(673,809)(674,808)(675,807)(676,781)(677,785)(678,784)(679,783)(680,782)
(681,786)(682,790)(683,789)(684,788)(685,787)(686,791)(687,795)(688,794)
(689,793)(690,792)(691,826)(692,830)(693,829)(694,828)(695,827)(696,831)
(697,835)(698,834)(699,833)(700,832)(701,836)(702,840)(703,839)(704,838)
(705,837)(706,811)(707,815)(708,814)(709,813)(710,812)(711,816)(712,820)
(713,819)(714,818)(715,817)(716,821)(717,825)(718,824)(719,823)(720,822);;
s3 := (  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)( 31,152)( 32,151)
( 33,155)( 34,154)( 35,153)( 36,157)( 37,156)( 38,160)( 39,159)( 40,158)
( 41,162)( 42,161)( 43,165)( 44,164)( 45,163)( 46,167)( 47,166)( 48,170)
( 49,169)( 50,168)( 51,172)( 52,171)( 53,175)( 54,174)( 55,173)( 56,177)
( 57,176)( 58,180)( 59,179)( 60,178)( 61,182)( 62,181)( 63,185)( 64,184)
( 65,183)( 66,187)( 67,186)( 68,190)( 69,189)( 70,188)( 71,192)( 72,191)
( 73,195)( 74,194)( 75,193)( 76,197)( 77,196)( 78,200)( 79,199)( 80,198)
( 81,202)( 82,201)( 83,205)( 84,204)( 85,203)( 86,207)( 87,206)( 88,210)
( 89,209)( 90,208)( 91,212)( 92,211)( 93,215)( 94,214)( 95,213)( 96,217)
( 97,216)( 98,220)( 99,219)(100,218)(101,222)(102,221)(103,225)(104,224)
(105,223)(106,227)(107,226)(108,230)(109,229)(110,228)(111,232)(112,231)
(113,235)(114,234)(115,233)(116,237)(117,236)(118,240)(119,239)(120,238)
(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)(271,392)(272,391)
(273,395)(274,394)(275,393)(276,397)(277,396)(278,400)(279,399)(280,398)
(281,402)(282,401)(283,405)(284,404)(285,403)(286,407)(287,406)(288,410)
(289,409)(290,408)(291,412)(292,411)(293,415)(294,414)(295,413)(296,417)
(297,416)(298,420)(299,419)(300,418)(301,422)(302,421)(303,425)(304,424)
(305,423)(306,427)(307,426)(308,430)(309,429)(310,428)(311,432)(312,431)
(313,435)(314,434)(315,433)(316,437)(317,436)(318,440)(319,439)(320,438)
(321,442)(322,441)(323,445)(324,444)(325,443)(326,447)(327,446)(328,450)
(329,449)(330,448)(331,452)(332,451)(333,455)(334,454)(335,453)(336,457)
(337,456)(338,460)(339,459)(340,458)(341,462)(342,461)(343,465)(344,464)
(345,463)(346,467)(347,466)(348,470)(349,469)(350,468)(351,472)(352,471)
(353,475)(354,474)(355,473)(356,477)(357,476)(358,480)(359,479)(360,478)
(481,602)(482,601)(483,605)(484,604)(485,603)(486,607)(487,606)(488,610)
(489,609)(490,608)(491,612)(492,611)(493,615)(494,614)(495,613)(496,617)
(497,616)(498,620)(499,619)(500,618)(501,622)(502,621)(503,625)(504,624)
(505,623)(506,627)(507,626)(508,630)(509,629)(510,628)(511,632)(512,631)
(513,635)(514,634)(515,633)(516,637)(517,636)(518,640)(519,639)(520,638)
(521,642)(522,641)(523,645)(524,644)(525,643)(526,647)(527,646)(528,650)
(529,649)(530,648)(531,652)(532,651)(533,655)(534,654)(535,653)(536,657)
(537,656)(538,660)(539,659)(540,658)(541,662)(542,661)(543,665)(544,664)
(545,663)(546,667)(547,666)(548,670)(549,669)(550,668)(551,672)(552,671)
(553,675)(554,674)(555,673)(556,677)(557,676)(558,680)(559,679)(560,678)
(561,682)(562,681)(563,685)(564,684)(565,683)(566,687)(567,686)(568,690)
(569,689)(570,688)(571,692)(572,691)(573,695)(574,694)(575,693)(576,697)
(577,696)(578,700)(579,699)(580,698)(581,702)(582,701)(583,705)(584,704)
(585,703)(586,707)(587,706)(588,710)(589,709)(590,708)(591,712)(592,711)
(593,715)(594,714)(595,713)(596,717)(597,716)(598,720)(599,719)(600,718)
(721,842)(722,841)(723,845)(724,844)(725,843)(726,847)(727,846)(728,850)
(729,849)(730,848)(731,852)(732,851)(733,855)(734,854)(735,853)(736,857)
(737,856)(738,860)(739,859)(740,858)(741,862)(742,861)(743,865)(744,864)
(745,863)(746,867)(747,866)(748,870)(749,869)(750,868)(751,872)(752,871)
(753,875)(754,874)(755,873)(756,877)(757,876)(758,880)(759,879)(760,878)
(761,882)(762,881)(763,885)(764,884)(765,883)(766,887)(767,886)(768,890)
(769,889)(770,888)(771,892)(772,891)(773,895)(774,894)(775,893)(776,897)
(777,896)(778,900)(779,899)(780,898)(781,902)(782,901)(783,905)(784,904)
(785,903)(786,907)(787,906)(788,910)(789,909)(790,908)(791,912)(792,911)
(793,915)(794,914)(795,913)(796,917)(797,916)(798,920)(799,919)(800,918)
(801,922)(802,921)(803,925)(804,924)(805,923)(806,927)(807,926)(808,930)
(809,929)(810,928)(811,932)(812,931)(813,935)(814,934)(815,933)(816,937)
(817,936)(818,940)(819,939)(820,938)(821,942)(822,941)(823,945)(824,944)
(825,943)(826,947)(827,946)(828,950)(829,949)(830,948)(831,952)(832,951)
(833,955)(834,954)(835,953)(836,957)(837,956)(838,960)(839,959)(840,958);;
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, s1*s2*s1*s2*s1*s2*s1*s2, 
s1*s2*s3*s2*s1*s2*s3*s2, s0*s2*s1*s2*s1*s0*s1*s0*s2*s1*s2*s1*s0*s1, 
s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3, 
s0*s1*s0*s1*s0*s2*s1*s0*s1*s0*s2*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1 ];;
poly := F / rels;;
 
Permutation Representation (Magma) :
s0 := Sym(960)!(  1,481)(  2,482)(  3,483)(  4,484)(  5,485)(  6,491)(  7,492)
(  8,493)(  9,494)( 10,495)( 11,486)( 12,487)( 13,488)( 14,489)( 15,490)
( 16,496)( 17,497)( 18,498)( 19,499)( 20,500)( 21,506)( 22,507)( 23,508)
( 24,509)( 25,510)( 26,501)( 27,502)( 28,503)( 29,504)( 30,505)( 31,526)
( 32,527)( 33,528)( 34,529)( 35,530)( 36,536)( 37,537)( 38,538)( 39,539)
( 40,540)( 41,531)( 42,532)( 43,533)( 44,534)( 45,535)( 46,511)( 47,512)
( 48,513)( 49,514)( 50,515)( 51,521)( 52,522)( 53,523)( 54,524)( 55,525)
( 56,516)( 57,517)( 58,518)( 59,519)( 60,520)( 61,556)( 62,557)( 63,558)
( 64,559)( 65,560)( 66,566)( 67,567)( 68,568)( 69,569)( 70,570)( 71,561)
( 72,562)( 73,563)( 74,564)( 75,565)( 76,541)( 77,542)( 78,543)( 79,544)
( 80,545)( 81,551)( 82,552)( 83,553)( 84,554)( 85,555)( 86,546)( 87,547)
( 88,548)( 89,549)( 90,550)( 91,571)( 92,572)( 93,573)( 94,574)( 95,575)
( 96,581)( 97,582)( 98,583)( 99,584)(100,585)(101,576)(102,577)(103,578)
(104,579)(105,580)(106,586)(107,587)(108,588)(109,589)(110,590)(111,596)
(112,597)(113,598)(114,599)(115,600)(116,591)(117,592)(118,593)(119,594)
(120,595)(121,601)(122,602)(123,603)(124,604)(125,605)(126,611)(127,612)
(128,613)(129,614)(130,615)(131,606)(132,607)(133,608)(134,609)(135,610)
(136,616)(137,617)(138,618)(139,619)(140,620)(141,626)(142,627)(143,628)
(144,629)(145,630)(146,621)(147,622)(148,623)(149,624)(150,625)(151,646)
(152,647)(153,648)(154,649)(155,650)(156,656)(157,657)(158,658)(159,659)
(160,660)(161,651)(162,652)(163,653)(164,654)(165,655)(166,631)(167,632)
(168,633)(169,634)(170,635)(171,641)(172,642)(173,643)(174,644)(175,645)
(176,636)(177,637)(178,638)(179,639)(180,640)(181,676)(182,677)(183,678)
(184,679)(185,680)(186,686)(187,687)(188,688)(189,689)(190,690)(191,681)
(192,682)(193,683)(194,684)(195,685)(196,661)(197,662)(198,663)(199,664)
(200,665)(201,671)(202,672)(203,673)(204,674)(205,675)(206,666)(207,667)
(208,668)(209,669)(210,670)(211,691)(212,692)(213,693)(214,694)(215,695)
(216,701)(217,702)(218,703)(219,704)(220,705)(221,696)(222,697)(223,698)
(224,699)(225,700)(226,706)(227,707)(228,708)(229,709)(230,710)(231,716)
(232,717)(233,718)(234,719)(235,720)(236,711)(237,712)(238,713)(239,714)
(240,715)(241,721)(242,722)(243,723)(244,724)(245,725)(246,731)(247,732)
(248,733)(249,734)(250,735)(251,726)(252,727)(253,728)(254,729)(255,730)
(256,736)(257,737)(258,738)(259,739)(260,740)(261,746)(262,747)(263,748)
(264,749)(265,750)(266,741)(267,742)(268,743)(269,744)(270,745)(271,766)
(272,767)(273,768)(274,769)(275,770)(276,776)(277,777)(278,778)(279,779)
(280,780)(281,771)(282,772)(283,773)(284,774)(285,775)(286,751)(287,752)
(288,753)(289,754)(290,755)(291,761)(292,762)(293,763)(294,764)(295,765)
(296,756)(297,757)(298,758)(299,759)(300,760)(301,796)(302,797)(303,798)
(304,799)(305,800)(306,806)(307,807)(308,808)(309,809)(310,810)(311,801)
(312,802)(313,803)(314,804)(315,805)(316,781)(317,782)(318,783)(319,784)
(320,785)(321,791)(322,792)(323,793)(324,794)(325,795)(326,786)(327,787)
(328,788)(329,789)(330,790)(331,811)(332,812)(333,813)(334,814)(335,815)
(336,821)(337,822)(338,823)(339,824)(340,825)(341,816)(342,817)(343,818)
(344,819)(345,820)(346,826)(347,827)(348,828)(349,829)(350,830)(351,836)
(352,837)(353,838)(354,839)(355,840)(356,831)(357,832)(358,833)(359,834)
(360,835)(361,841)(362,842)(363,843)(364,844)(365,845)(366,851)(367,852)
(368,853)(369,854)(370,855)(371,846)(372,847)(373,848)(374,849)(375,850)
(376,856)(377,857)(378,858)(379,859)(380,860)(381,866)(382,867)(383,868)
(384,869)(385,870)(386,861)(387,862)(388,863)(389,864)(390,865)(391,886)
(392,887)(393,888)(394,889)(395,890)(396,896)(397,897)(398,898)(399,899)
(400,900)(401,891)(402,892)(403,893)(404,894)(405,895)(406,871)(407,872)
(408,873)(409,874)(410,875)(411,881)(412,882)(413,883)(414,884)(415,885)
(416,876)(417,877)(418,878)(419,879)(420,880)(421,916)(422,917)(423,918)
(424,919)(425,920)(426,926)(427,927)(428,928)(429,929)(430,930)(431,921)
(432,922)(433,923)(434,924)(435,925)(436,901)(437,902)(438,903)(439,904)
(440,905)(441,911)(442,912)(443,913)(444,914)(445,915)(446,906)(447,907)
(448,908)(449,909)(450,910)(451,931)(452,932)(453,933)(454,934)(455,935)
(456,941)(457,942)(458,943)(459,944)(460,945)(461,936)(462,937)(463,938)
(464,939)(465,940)(466,946)(467,947)(468,948)(469,949)(470,950)(471,956)
(472,957)(473,958)(474,959)(475,960)(476,951)(477,952)(478,953)(479,954)
(480,955);
s1 := Sym(960)!(  1,  6)(  2,  7)(  3,  8)(  4,  9)(  5, 10)( 16, 21)( 17, 22)
( 18, 23)( 19, 24)( 20, 25)( 31, 36)( 32, 37)( 33, 38)( 34, 39)( 35, 40)
( 46, 51)( 47, 52)( 48, 53)( 49, 54)( 50, 55)( 61, 81)( 62, 82)( 63, 83)
( 64, 84)( 65, 85)( 66, 76)( 67, 77)( 68, 78)( 69, 79)( 70, 80)( 71, 86)
( 72, 87)( 73, 88)( 74, 89)( 75, 90)( 91,111)( 92,112)( 93,113)( 94,114)
( 95,115)( 96,106)( 97,107)( 98,108)( 99,109)(100,110)(101,116)(102,117)
(103,118)(104,119)(105,120)(121,126)(122,127)(123,128)(124,129)(125,130)
(136,141)(137,142)(138,143)(139,144)(140,145)(151,156)(152,157)(153,158)
(154,159)(155,160)(166,171)(167,172)(168,173)(169,174)(170,175)(181,201)
(182,202)(183,203)(184,204)(185,205)(186,196)(187,197)(188,198)(189,199)
(190,200)(191,206)(192,207)(193,208)(194,209)(195,210)(211,231)(212,232)
(213,233)(214,234)(215,235)(216,226)(217,227)(218,228)(219,229)(220,230)
(221,236)(222,237)(223,238)(224,239)(225,240)(241,276)(242,277)(243,278)
(244,279)(245,280)(246,271)(247,272)(248,273)(249,274)(250,275)(251,281)
(252,282)(253,283)(254,284)(255,285)(256,291)(257,292)(258,293)(259,294)
(260,295)(261,286)(262,287)(263,288)(264,289)(265,290)(266,296)(267,297)
(268,298)(269,299)(270,300)(301,351)(302,352)(303,353)(304,354)(305,355)
(306,346)(307,347)(308,348)(309,349)(310,350)(311,356)(312,357)(313,358)
(314,359)(315,360)(316,336)(317,337)(318,338)(319,339)(320,340)(321,331)
(322,332)(323,333)(324,334)(325,335)(326,341)(327,342)(328,343)(329,344)
(330,345)(361,396)(362,397)(363,398)(364,399)(365,400)(366,391)(367,392)
(368,393)(369,394)(370,395)(371,401)(372,402)(373,403)(374,404)(375,405)
(376,411)(377,412)(378,413)(379,414)(380,415)(381,406)(382,407)(383,408)
(384,409)(385,410)(386,416)(387,417)(388,418)(389,419)(390,420)(421,471)
(422,472)(423,473)(424,474)(425,475)(426,466)(427,467)(428,468)(429,469)
(430,470)(431,476)(432,477)(433,478)(434,479)(435,480)(436,456)(437,457)
(438,458)(439,459)(440,460)(441,451)(442,452)(443,453)(444,454)(445,455)
(446,461)(447,462)(448,463)(449,464)(450,465)(481,546)(482,547)(483,548)
(484,549)(485,550)(486,541)(487,542)(488,543)(489,544)(490,545)(491,551)
(492,552)(493,553)(494,554)(495,555)(496,561)(497,562)(498,563)(499,564)
(500,565)(501,556)(502,557)(503,558)(504,559)(505,560)(506,566)(507,567)
(508,568)(509,569)(510,570)(511,576)(512,577)(513,578)(514,579)(515,580)
(516,571)(517,572)(518,573)(519,574)(520,575)(521,581)(522,582)(523,583)
(524,584)(525,585)(526,591)(527,592)(528,593)(529,594)(530,595)(531,586)
(532,587)(533,588)(534,589)(535,590)(536,596)(537,597)(538,598)(539,599)
(540,600)(601,666)(602,667)(603,668)(604,669)(605,670)(606,661)(607,662)
(608,663)(609,664)(610,665)(611,671)(612,672)(613,673)(614,674)(615,675)
(616,681)(617,682)(618,683)(619,684)(620,685)(621,676)(622,677)(623,678)
(624,679)(625,680)(626,686)(627,687)(628,688)(629,689)(630,690)(631,696)
(632,697)(633,698)(634,699)(635,700)(636,691)(637,692)(638,693)(639,694)
(640,695)(641,701)(642,702)(643,703)(644,704)(645,705)(646,711)(647,712)
(648,713)(649,714)(650,715)(651,706)(652,707)(653,708)(654,709)(655,710)
(656,716)(657,717)(658,718)(659,719)(660,720)(721,831)(722,832)(723,833)
(724,834)(725,835)(726,826)(727,827)(728,828)(729,829)(730,830)(731,836)
(732,837)(733,838)(734,839)(735,840)(736,816)(737,817)(738,818)(739,819)
(740,820)(741,811)(742,812)(743,813)(744,814)(745,815)(746,821)(747,822)
(748,823)(749,824)(750,825)(751,801)(752,802)(753,803)(754,804)(755,805)
(756,796)(757,797)(758,798)(759,799)(760,800)(761,806)(762,807)(763,808)
(764,809)(765,810)(766,786)(767,787)(768,788)(769,789)(770,790)(771,781)
(772,782)(773,783)(774,784)(775,785)(776,791)(777,792)(778,793)(779,794)
(780,795)(841,951)(842,952)(843,953)(844,954)(845,955)(846,946)(847,947)
(848,948)(849,949)(850,950)(851,956)(852,957)(853,958)(854,959)(855,960)
(856,936)(857,937)(858,938)(859,939)(860,940)(861,931)(862,932)(863,933)
(864,934)(865,935)(866,941)(867,942)(868,943)(869,944)(870,945)(871,921)
(872,922)(873,923)(874,924)(875,925)(876,916)(877,917)(878,918)(879,919)
(880,920)(881,926)(882,927)(883,928)(884,929)(885,930)(886,906)(887,907)
(888,908)(889,909)(890,910)(891,901)(892,902)(893,903)(894,904)(895,905)
(896,911)(897,912)(898,913)(899,914)(900,915);
s2 := Sym(960)!(  1,361)(  2,365)(  3,364)(  4,363)(  5,362)(  6,366)(  7,370)
(  8,369)(  9,368)( 10,367)( 11,371)( 12,375)( 13,374)( 14,373)( 15,372)
( 16,376)( 17,380)( 18,379)( 19,378)( 20,377)( 21,381)( 22,385)( 23,384)
( 24,383)( 25,382)( 26,386)( 27,390)( 28,389)( 29,388)( 30,387)( 31,391)
( 32,395)( 33,394)( 34,393)( 35,392)( 36,396)( 37,400)( 38,399)( 39,398)
( 40,397)( 41,401)( 42,405)( 43,404)( 44,403)( 45,402)( 46,406)( 47,410)
( 48,409)( 49,408)( 50,407)( 51,411)( 52,415)( 53,414)( 54,413)( 55,412)
( 56,416)( 57,420)( 58,419)( 59,418)( 60,417)( 61,436)( 62,440)( 63,439)
( 64,438)( 65,437)( 66,441)( 67,445)( 68,444)( 69,443)( 70,442)( 71,446)
( 72,450)( 73,449)( 74,448)( 75,447)( 76,421)( 77,425)( 78,424)( 79,423)
( 80,422)( 81,426)( 82,430)( 83,429)( 84,428)( 85,427)( 86,431)( 87,435)
( 88,434)( 89,433)( 90,432)( 91,466)( 92,470)( 93,469)( 94,468)( 95,467)
( 96,471)( 97,475)( 98,474)( 99,473)(100,472)(101,476)(102,480)(103,479)
(104,478)(105,477)(106,451)(107,455)(108,454)(109,453)(110,452)(111,456)
(112,460)(113,459)(114,458)(115,457)(116,461)(117,465)(118,464)(119,463)
(120,462)(121,241)(122,245)(123,244)(124,243)(125,242)(126,246)(127,250)
(128,249)(129,248)(130,247)(131,251)(132,255)(133,254)(134,253)(135,252)
(136,256)(137,260)(138,259)(139,258)(140,257)(141,261)(142,265)(143,264)
(144,263)(145,262)(146,266)(147,270)(148,269)(149,268)(150,267)(151,271)
(152,275)(153,274)(154,273)(155,272)(156,276)(157,280)(158,279)(159,278)
(160,277)(161,281)(162,285)(163,284)(164,283)(165,282)(166,286)(167,290)
(168,289)(169,288)(170,287)(171,291)(172,295)(173,294)(174,293)(175,292)
(176,296)(177,300)(178,299)(179,298)(180,297)(181,316)(182,320)(183,319)
(184,318)(185,317)(186,321)(187,325)(188,324)(189,323)(190,322)(191,326)
(192,330)(193,329)(194,328)(195,327)(196,301)(197,305)(198,304)(199,303)
(200,302)(201,306)(202,310)(203,309)(204,308)(205,307)(206,311)(207,315)
(208,314)(209,313)(210,312)(211,346)(212,350)(213,349)(214,348)(215,347)
(216,351)(217,355)(218,354)(219,353)(220,352)(221,356)(222,360)(223,359)
(224,358)(225,357)(226,331)(227,335)(228,334)(229,333)(230,332)(231,336)
(232,340)(233,339)(234,338)(235,337)(236,341)(237,345)(238,344)(239,343)
(240,342)(481,841)(482,845)(483,844)(484,843)(485,842)(486,846)(487,850)
(488,849)(489,848)(490,847)(491,851)(492,855)(493,854)(494,853)(495,852)
(496,856)(497,860)(498,859)(499,858)(500,857)(501,861)(502,865)(503,864)
(504,863)(505,862)(506,866)(507,870)(508,869)(509,868)(510,867)(511,871)
(512,875)(513,874)(514,873)(515,872)(516,876)(517,880)(518,879)(519,878)
(520,877)(521,881)(522,885)(523,884)(524,883)(525,882)(526,886)(527,890)
(528,889)(529,888)(530,887)(531,891)(532,895)(533,894)(534,893)(535,892)
(536,896)(537,900)(538,899)(539,898)(540,897)(541,916)(542,920)(543,919)
(544,918)(545,917)(546,921)(547,925)(548,924)(549,923)(550,922)(551,926)
(552,930)(553,929)(554,928)(555,927)(556,901)(557,905)(558,904)(559,903)
(560,902)(561,906)(562,910)(563,909)(564,908)(565,907)(566,911)(567,915)
(568,914)(569,913)(570,912)(571,946)(572,950)(573,949)(574,948)(575,947)
(576,951)(577,955)(578,954)(579,953)(580,952)(581,956)(582,960)(583,959)
(584,958)(585,957)(586,931)(587,935)(588,934)(589,933)(590,932)(591,936)
(592,940)(593,939)(594,938)(595,937)(596,941)(597,945)(598,944)(599,943)
(600,942)(601,721)(602,725)(603,724)(604,723)(605,722)(606,726)(607,730)
(608,729)(609,728)(610,727)(611,731)(612,735)(613,734)(614,733)(615,732)
(616,736)(617,740)(618,739)(619,738)(620,737)(621,741)(622,745)(623,744)
(624,743)(625,742)(626,746)(627,750)(628,749)(629,748)(630,747)(631,751)
(632,755)(633,754)(634,753)(635,752)(636,756)(637,760)(638,759)(639,758)
(640,757)(641,761)(642,765)(643,764)(644,763)(645,762)(646,766)(647,770)
(648,769)(649,768)(650,767)(651,771)(652,775)(653,774)(654,773)(655,772)
(656,776)(657,780)(658,779)(659,778)(660,777)(661,796)(662,800)(663,799)
(664,798)(665,797)(666,801)(667,805)(668,804)(669,803)(670,802)(671,806)
(672,810)(673,809)(674,808)(675,807)(676,781)(677,785)(678,784)(679,783)
(680,782)(681,786)(682,790)(683,789)(684,788)(685,787)(686,791)(687,795)
(688,794)(689,793)(690,792)(691,826)(692,830)(693,829)(694,828)(695,827)
(696,831)(697,835)(698,834)(699,833)(700,832)(701,836)(702,840)(703,839)
(704,838)(705,837)(706,811)(707,815)(708,814)(709,813)(710,812)(711,816)
(712,820)(713,819)(714,818)(715,817)(716,821)(717,825)(718,824)(719,823)
(720,822);
s3 := 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)( 31,152)
( 32,151)( 33,155)( 34,154)( 35,153)( 36,157)( 37,156)( 38,160)( 39,159)
( 40,158)( 41,162)( 42,161)( 43,165)( 44,164)( 45,163)( 46,167)( 47,166)
( 48,170)( 49,169)( 50,168)( 51,172)( 52,171)( 53,175)( 54,174)( 55,173)
( 56,177)( 57,176)( 58,180)( 59,179)( 60,178)( 61,182)( 62,181)( 63,185)
( 64,184)( 65,183)( 66,187)( 67,186)( 68,190)( 69,189)( 70,188)( 71,192)
( 72,191)( 73,195)( 74,194)( 75,193)( 76,197)( 77,196)( 78,200)( 79,199)
( 80,198)( 81,202)( 82,201)( 83,205)( 84,204)( 85,203)( 86,207)( 87,206)
( 88,210)( 89,209)( 90,208)( 91,212)( 92,211)( 93,215)( 94,214)( 95,213)
( 96,217)( 97,216)( 98,220)( 99,219)(100,218)(101,222)(102,221)(103,225)
(104,224)(105,223)(106,227)(107,226)(108,230)(109,229)(110,228)(111,232)
(112,231)(113,235)(114,234)(115,233)(116,237)(117,236)(118,240)(119,239)
(120,238)(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)(271,392)
(272,391)(273,395)(274,394)(275,393)(276,397)(277,396)(278,400)(279,399)
(280,398)(281,402)(282,401)(283,405)(284,404)(285,403)(286,407)(287,406)
(288,410)(289,409)(290,408)(291,412)(292,411)(293,415)(294,414)(295,413)
(296,417)(297,416)(298,420)(299,419)(300,418)(301,422)(302,421)(303,425)
(304,424)(305,423)(306,427)(307,426)(308,430)(309,429)(310,428)(311,432)
(312,431)(313,435)(314,434)(315,433)(316,437)(317,436)(318,440)(319,439)
(320,438)(321,442)(322,441)(323,445)(324,444)(325,443)(326,447)(327,446)
(328,450)(329,449)(330,448)(331,452)(332,451)(333,455)(334,454)(335,453)
(336,457)(337,456)(338,460)(339,459)(340,458)(341,462)(342,461)(343,465)
(344,464)(345,463)(346,467)(347,466)(348,470)(349,469)(350,468)(351,472)
(352,471)(353,475)(354,474)(355,473)(356,477)(357,476)(358,480)(359,479)
(360,478)(481,602)(482,601)(483,605)(484,604)(485,603)(486,607)(487,606)
(488,610)(489,609)(490,608)(491,612)(492,611)(493,615)(494,614)(495,613)
(496,617)(497,616)(498,620)(499,619)(500,618)(501,622)(502,621)(503,625)
(504,624)(505,623)(506,627)(507,626)(508,630)(509,629)(510,628)(511,632)
(512,631)(513,635)(514,634)(515,633)(516,637)(517,636)(518,640)(519,639)
(520,638)(521,642)(522,641)(523,645)(524,644)(525,643)(526,647)(527,646)
(528,650)(529,649)(530,648)(531,652)(532,651)(533,655)(534,654)(535,653)
(536,657)(537,656)(538,660)(539,659)(540,658)(541,662)(542,661)(543,665)
(544,664)(545,663)(546,667)(547,666)(548,670)(549,669)(550,668)(551,672)
(552,671)(553,675)(554,674)(555,673)(556,677)(557,676)(558,680)(559,679)
(560,678)(561,682)(562,681)(563,685)(564,684)(565,683)(566,687)(567,686)
(568,690)(569,689)(570,688)(571,692)(572,691)(573,695)(574,694)(575,693)
(576,697)(577,696)(578,700)(579,699)(580,698)(581,702)(582,701)(583,705)
(584,704)(585,703)(586,707)(587,706)(588,710)(589,709)(590,708)(591,712)
(592,711)(593,715)(594,714)(595,713)(596,717)(597,716)(598,720)(599,719)
(600,718)(721,842)(722,841)(723,845)(724,844)(725,843)(726,847)(727,846)
(728,850)(729,849)(730,848)(731,852)(732,851)(733,855)(734,854)(735,853)
(736,857)(737,856)(738,860)(739,859)(740,858)(741,862)(742,861)(743,865)
(744,864)(745,863)(746,867)(747,866)(748,870)(749,869)(750,868)(751,872)
(752,871)(753,875)(754,874)(755,873)(756,877)(757,876)(758,880)(759,879)
(760,878)(761,882)(762,881)(763,885)(764,884)(765,883)(766,887)(767,886)
(768,890)(769,889)(770,888)(771,892)(772,891)(773,895)(774,894)(775,893)
(776,897)(777,896)(778,900)(779,899)(780,898)(781,902)(782,901)(783,905)
(784,904)(785,903)(786,907)(787,906)(788,910)(789,909)(790,908)(791,912)
(792,911)(793,915)(794,914)(795,913)(796,917)(797,916)(798,920)(799,919)
(800,918)(801,922)(802,921)(803,925)(804,924)(805,923)(806,927)(807,926)
(808,930)(809,929)(810,928)(811,932)(812,931)(813,935)(814,934)(815,933)
(816,937)(817,936)(818,940)(819,939)(820,938)(821,942)(822,941)(823,945)
(824,944)(825,943)(826,947)(827,946)(828,950)(829,949)(830,948)(831,952)
(832,951)(833,955)(834,954)(835,953)(836,957)(837,956)(838,960)(839,959)
(840,958);
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, 
s1*s2*s1*s2*s1*s2*s1*s2, s1*s2*s3*s2*s1*s2*s3*s2, 
s0*s2*s1*s2*s1*s0*s1*s0*s2*s1*s2*s1*s0*s1, 
s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3, 
s0*s1*s0*s1*s0*s2*s1*s0*s1*s0*s2*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1 >; 
 
References : None.
to this polytope