Polytope of Type {4,8,30}
This page is part of the Atlas of Small Regular Polytopes
Atlas Canonical Name : {4,8,30}*1920a
Also Known As : {{4,8|2},{8,30|2}}. if this polytope has another name.
Group : SmallGroup(1920,148872)
Rank : 4
Schlafli Type : {4,8,30}
Number of vertices, edges, etc : 4, 16, 120, 30
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 : {4,4,30}*960, {2,8,30}*960
3-fold quotients : {4,8,10}*640a
4-fold quotients : {2,4,30}*480a, {4,2,30}*480
5-fold quotients : {4,8,6}*384a
6-fold quotients : {4,4,10}*320, {2,8,10}*320
8-fold quotients : {4,2,15}*240, {2,2,30}*240
10-fold quotients : {4,4,6}*192, {2,8,6}*192
12-fold quotients : {2,4,10}*160, {4,2,10}*160
15-fold quotients : {4,8,2}*128a
16-fold quotients : {2,2,15}*120
20-fold quotients : {2,4,6}*96a, {4,2,6}*96
24-fold quotients : {4,2,5}*80, {2,2,10}*80
30-fold quotients : {4,4,2}*64, {2,8,2}*64
40-fold quotients : {4,2,3}*48, {2,2,6}*48
48-fold quotients : {2,2,5}*40
60-fold quotients : {2,4,2}*32, {4,2,2}*32
80-fold quotients : {2,2,3}*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 := ( 61, 76)( 62, 77)( 63, 78)( 64, 79)( 65, 80)( 66, 81)( 67, 82)( 68, 83)
( 69, 84)( 70, 85)( 71, 86)( 72, 87)( 73, 88)( 74, 89)( 75, 90)( 91,106)
( 92,107)( 93,108)( 94,109)( 95,110)( 96,111)( 97,112)( 98,113)( 99,114)
(100,115)(101,116)(102,117)(103,118)(104,119)(105,120)(181,196)(182,197)
(183,198)(184,199)(185,200)(186,201)(187,202)(188,203)(189,204)(190,205)
(191,206)(192,207)(193,208)(194,209)(195,210)(211,226)(212,227)(213,228)
(214,229)(215,230)(216,231)(217,232)(218,233)(219,234)(220,235)(221,236)
(222,237)(223,238)(224,239)(225,240)(241,271)(242,272)(243,273)(244,274)
(245,275)(246,276)(247,277)(248,278)(249,279)(250,280)(251,281)(252,282)
(253,283)(254,284)(255,285)(256,286)(257,287)(258,288)(259,289)(260,290)
(261,291)(262,292)(263,293)(264,294)(265,295)(266,296)(267,297)(268,298)
(269,299)(270,300)(301,346)(302,347)(303,348)(304,349)(305,350)(306,351)
(307,352)(308,353)(309,354)(310,355)(311,356)(312,357)(313,358)(314,359)
(315,360)(316,331)(317,332)(318,333)(319,334)(320,335)(321,336)(322,337)
(323,338)(324,339)(325,340)(326,341)(327,342)(328,343)(329,344)(330,345)
(361,391)(362,392)(363,393)(364,394)(365,395)(366,396)(367,397)(368,398)
(369,399)(370,400)(371,401)(372,402)(373,403)(374,404)(375,405)(376,406)
(377,407)(378,408)(379,409)(380,410)(381,411)(382,412)(383,413)(384,414)
(385,415)(386,416)(387,417)(388,418)(389,419)(390,420)(421,466)(422,467)
(423,468)(424,469)(425,470)(426,471)(427,472)(428,473)(429,474)(430,475)
(431,476)(432,477)(433,478)(434,479)(435,480)(436,451)(437,452)(438,453)
(439,454)(440,455)(441,456)(442,457)(443,458)(444,459)(445,460)(446,461)
(447,462)(448,463)(449,464)(450,465)(481,541)(482,542)(483,543)(484,544)
(485,545)(486,546)(487,547)(488,548)(489,549)(490,550)(491,551)(492,552)
(493,553)(494,554)(495,555)(496,556)(497,557)(498,558)(499,559)(500,560)
(501,561)(502,562)(503,563)(504,564)(505,565)(506,566)(507,567)(508,568)
(509,569)(510,570)(511,571)(512,572)(513,573)(514,574)(515,575)(516,576)
(517,577)(518,578)(519,579)(520,580)(521,581)(522,582)(523,583)(524,584)
(525,585)(526,586)(527,587)(528,588)(529,589)(530,590)(531,591)(532,592)
(533,593)(534,594)(535,595)(536,596)(537,597)(538,598)(539,599)(540,600)
(601,661)(602,662)(603,663)(604,664)(605,665)(606,666)(607,667)(608,668)
(609,669)(610,670)(611,671)(612,672)(613,673)(614,674)(615,675)(616,676)
(617,677)(618,678)(619,679)(620,680)(621,681)(622,682)(623,683)(624,684)
(625,685)(626,686)(627,687)(628,688)(629,689)(630,690)(631,691)(632,692)
(633,693)(634,694)(635,695)(636,696)(637,697)(638,698)(639,699)(640,700)
(641,701)(642,702)(643,703)(644,704)(645,705)(646,706)(647,707)(648,708)
(649,709)(650,710)(651,711)(652,712)(653,713)(654,714)(655,715)(656,716)
(657,717)(658,718)(659,719)(660,720)(721,811)(722,812)(723,813)(724,814)
(725,815)(726,816)(727,817)(728,818)(729,819)(730,820)(731,821)(732,822)
(733,823)(734,824)(735,825)(736,826)(737,827)(738,828)(739,829)(740,830)
(741,831)(742,832)(743,833)(744,834)(745,835)(746,836)(747,837)(748,838)
(749,839)(750,840)(751,781)(752,782)(753,783)(754,784)(755,785)(756,786)
(757,787)(758,788)(759,789)(760,790)(761,791)(762,792)(763,793)(764,794)
(765,795)(766,796)(767,797)(768,798)(769,799)(770,800)(771,801)(772,802)
(773,803)(774,804)(775,805)(776,806)(777,807)(778,808)(779,809)(780,810)
(841,931)(842,932)(843,933)(844,934)(845,935)(846,936)(847,937)(848,938)
(849,939)(850,940)(851,941)(852,942)(853,943)(854,944)(855,945)(856,946)
(857,947)(858,948)(859,949)(860,950)(861,951)(862,952)(863,953)(864,954)
(865,955)(866,956)(867,957)(868,958)(869,959)(870,960)(871,901)(872,902)
(873,903)(874,904)(875,905)(876,906)(877,907)(878,908)(879,909)(880,910)
(881,911)(882,912)(883,913)(884,914)(885,915)(886,916)(887,917)(888,918)
(889,919)(890,920)(891,921)(892,922)(893,923)(894,924)(895,925)(896,926)
(897,927)(898,928)(899,929)(900,930);;
s2 := ( 1,601)( 2,605)( 3,604)( 4,603)( 5,602)( 6,611)( 7,615)( 8,614)
( 9,613)( 10,612)( 11,606)( 12,610)( 13,609)( 14,608)( 15,607)( 16,616)
( 17,620)( 18,619)( 19,618)( 20,617)( 21,626)( 22,630)( 23,629)( 24,628)
( 25,627)( 26,621)( 27,625)( 28,624)( 29,623)( 30,622)( 31,631)( 32,635)
( 33,634)( 34,633)( 35,632)( 36,641)( 37,645)( 38,644)( 39,643)( 40,642)
( 41,636)( 42,640)( 43,639)( 44,638)( 45,637)( 46,646)( 47,650)( 48,649)
( 49,648)( 50,647)( 51,656)( 52,660)( 53,659)( 54,658)( 55,657)( 56,651)
( 57,655)( 58,654)( 59,653)( 60,652)( 61,676)( 62,680)( 63,679)( 64,678)
( 65,677)( 66,686)( 67,690)( 68,689)( 69,688)( 70,687)( 71,681)( 72,685)
( 73,684)( 74,683)( 75,682)( 76,661)( 77,665)( 78,664)( 79,663)( 80,662)
( 81,671)( 82,675)( 83,674)( 84,673)( 85,672)( 86,666)( 87,670)( 88,669)
( 89,668)( 90,667)( 91,706)( 92,710)( 93,709)( 94,708)( 95,707)( 96,716)
( 97,720)( 98,719)( 99,718)(100,717)(101,711)(102,715)(103,714)(104,713)
(105,712)(106,691)(107,695)(108,694)(109,693)(110,692)(111,701)(112,705)
(113,704)(114,703)(115,702)(116,696)(117,700)(118,699)(119,698)(120,697)
(121,481)(122,485)(123,484)(124,483)(125,482)(126,491)(127,495)(128,494)
(129,493)(130,492)(131,486)(132,490)(133,489)(134,488)(135,487)(136,496)
(137,500)(138,499)(139,498)(140,497)(141,506)(142,510)(143,509)(144,508)
(145,507)(146,501)(147,505)(148,504)(149,503)(150,502)(151,511)(152,515)
(153,514)(154,513)(155,512)(156,521)(157,525)(158,524)(159,523)(160,522)
(161,516)(162,520)(163,519)(164,518)(165,517)(166,526)(167,530)(168,529)
(169,528)(170,527)(171,536)(172,540)(173,539)(174,538)(175,537)(176,531)
(177,535)(178,534)(179,533)(180,532)(181,556)(182,560)(183,559)(184,558)
(185,557)(186,566)(187,570)(188,569)(189,568)(190,567)(191,561)(192,565)
(193,564)(194,563)(195,562)(196,541)(197,545)(198,544)(199,543)(200,542)
(201,551)(202,555)(203,554)(204,553)(205,552)(206,546)(207,550)(208,549)
(209,548)(210,547)(211,586)(212,590)(213,589)(214,588)(215,587)(216,596)
(217,600)(218,599)(219,598)(220,597)(221,591)(222,595)(223,594)(224,593)
(225,592)(226,571)(227,575)(228,574)(229,573)(230,572)(231,581)(232,585)
(233,584)(234,583)(235,582)(236,576)(237,580)(238,579)(239,578)(240,577)
(241,841)(242,845)(243,844)(244,843)(245,842)(246,851)(247,855)(248,854)
(249,853)(250,852)(251,846)(252,850)(253,849)(254,848)(255,847)(256,856)
(257,860)(258,859)(259,858)(260,857)(261,866)(262,870)(263,869)(264,868)
(265,867)(266,861)(267,865)(268,864)(269,863)(270,862)(271,871)(272,875)
(273,874)(274,873)(275,872)(276,881)(277,885)(278,884)(279,883)(280,882)
(281,876)(282,880)(283,879)(284,878)(285,877)(286,886)(287,890)(288,889)
(289,888)(290,887)(291,896)(292,900)(293,899)(294,898)(295,897)(296,891)
(297,895)(298,894)(299,893)(300,892)(301,916)(302,920)(303,919)(304,918)
(305,917)(306,926)(307,930)(308,929)(309,928)(310,927)(311,921)(312,925)
(313,924)(314,923)(315,922)(316,901)(317,905)(318,904)(319,903)(320,902)
(321,911)(322,915)(323,914)(324,913)(325,912)(326,906)(327,910)(328,909)
(329,908)(330,907)(331,946)(332,950)(333,949)(334,948)(335,947)(336,956)
(337,960)(338,959)(339,958)(340,957)(341,951)(342,955)(343,954)(344,953)
(345,952)(346,931)(347,935)(348,934)(349,933)(350,932)(351,941)(352,945)
(353,944)(354,943)(355,942)(356,936)(357,940)(358,939)(359,938)(360,937)
(361,721)(362,725)(363,724)(364,723)(365,722)(366,731)(367,735)(368,734)
(369,733)(370,732)(371,726)(372,730)(373,729)(374,728)(375,727)(376,736)
(377,740)(378,739)(379,738)(380,737)(381,746)(382,750)(383,749)(384,748)
(385,747)(386,741)(387,745)(388,744)(389,743)(390,742)(391,751)(392,755)
(393,754)(394,753)(395,752)(396,761)(397,765)(398,764)(399,763)(400,762)
(401,756)(402,760)(403,759)(404,758)(405,757)(406,766)(407,770)(408,769)
(409,768)(410,767)(411,776)(412,780)(413,779)(414,778)(415,777)(416,771)
(417,775)(418,774)(419,773)(420,772)(421,796)(422,800)(423,799)(424,798)
(425,797)(426,806)(427,810)(428,809)(429,808)(430,807)(431,801)(432,805)
(433,804)(434,803)(435,802)(436,781)(437,785)(438,784)(439,783)(440,782)
(441,791)(442,795)(443,794)(444,793)(445,792)(446,786)(447,790)(448,789)
(449,788)(450,787)(451,826)(452,830)(453,829)(454,828)(455,827)(456,836)
(457,840)(458,839)(459,838)(460,837)(461,831)(462,835)(463,834)(464,833)
(465,832)(466,811)(467,815)(468,814)(469,813)(470,812)(471,821)(472,825)
(473,824)(474,823)(475,822)(476,816)(477,820)(478,819)(479,818)(480,817);;
s3 := ( 1,127)( 2,126)( 3,130)( 4,129)( 5,128)( 6,122)( 7,121)( 8,125)
( 9,124)( 10,123)( 11,132)( 12,131)( 13,135)( 14,134)( 15,133)( 16,142)
( 17,141)( 18,145)( 19,144)( 20,143)( 21,137)( 22,136)( 23,140)( 24,139)
( 25,138)( 26,147)( 27,146)( 28,150)( 29,149)( 30,148)( 31,157)( 32,156)
( 33,160)( 34,159)( 35,158)( 36,152)( 37,151)( 38,155)( 39,154)( 40,153)
( 41,162)( 42,161)( 43,165)( 44,164)( 45,163)( 46,172)( 47,171)( 48,175)
( 49,174)( 50,173)( 51,167)( 52,166)( 53,170)( 54,169)( 55,168)( 56,177)
( 57,176)( 58,180)( 59,179)( 60,178)( 61,187)( 62,186)( 63,190)( 64,189)
( 65,188)( 66,182)( 67,181)( 68,185)( 69,184)( 70,183)( 71,192)( 72,191)
( 73,195)( 74,194)( 75,193)( 76,202)( 77,201)( 78,205)( 79,204)( 80,203)
( 81,197)( 82,196)( 83,200)( 84,199)( 85,198)( 86,207)( 87,206)( 88,210)
( 89,209)( 90,208)( 91,217)( 92,216)( 93,220)( 94,219)( 95,218)( 96,212)
( 97,211)( 98,215)( 99,214)(100,213)(101,222)(102,221)(103,225)(104,224)
(105,223)(106,232)(107,231)(108,235)(109,234)(110,233)(111,227)(112,226)
(113,230)(114,229)(115,228)(116,237)(117,236)(118,240)(119,239)(120,238)
(241,367)(242,366)(243,370)(244,369)(245,368)(246,362)(247,361)(248,365)
(249,364)(250,363)(251,372)(252,371)(253,375)(254,374)(255,373)(256,382)
(257,381)(258,385)(259,384)(260,383)(261,377)(262,376)(263,380)(264,379)
(265,378)(266,387)(267,386)(268,390)(269,389)(270,388)(271,397)(272,396)
(273,400)(274,399)(275,398)(276,392)(277,391)(278,395)(279,394)(280,393)
(281,402)(282,401)(283,405)(284,404)(285,403)(286,412)(287,411)(288,415)
(289,414)(290,413)(291,407)(292,406)(293,410)(294,409)(295,408)(296,417)
(297,416)(298,420)(299,419)(300,418)(301,427)(302,426)(303,430)(304,429)
(305,428)(306,422)(307,421)(308,425)(309,424)(310,423)(311,432)(312,431)
(313,435)(314,434)(315,433)(316,442)(317,441)(318,445)(319,444)(320,443)
(321,437)(322,436)(323,440)(324,439)(325,438)(326,447)(327,446)(328,450)
(329,449)(330,448)(331,457)(332,456)(333,460)(334,459)(335,458)(336,452)
(337,451)(338,455)(339,454)(340,453)(341,462)(342,461)(343,465)(344,464)
(345,463)(346,472)(347,471)(348,475)(349,474)(350,473)(351,467)(352,466)
(353,470)(354,469)(355,468)(356,477)(357,476)(358,480)(359,479)(360,478)
(481,607)(482,606)(483,610)(484,609)(485,608)(486,602)(487,601)(488,605)
(489,604)(490,603)(491,612)(492,611)(493,615)(494,614)(495,613)(496,622)
(497,621)(498,625)(499,624)(500,623)(501,617)(502,616)(503,620)(504,619)
(505,618)(506,627)(507,626)(508,630)(509,629)(510,628)(511,637)(512,636)
(513,640)(514,639)(515,638)(516,632)(517,631)(518,635)(519,634)(520,633)
(521,642)(522,641)(523,645)(524,644)(525,643)(526,652)(527,651)(528,655)
(529,654)(530,653)(531,647)(532,646)(533,650)(534,649)(535,648)(536,657)
(537,656)(538,660)(539,659)(540,658)(541,667)(542,666)(543,670)(544,669)
(545,668)(546,662)(547,661)(548,665)(549,664)(550,663)(551,672)(552,671)
(553,675)(554,674)(555,673)(556,682)(557,681)(558,685)(559,684)(560,683)
(561,677)(562,676)(563,680)(564,679)(565,678)(566,687)(567,686)(568,690)
(569,689)(570,688)(571,697)(572,696)(573,700)(574,699)(575,698)(576,692)
(577,691)(578,695)(579,694)(580,693)(581,702)(582,701)(583,705)(584,704)
(585,703)(586,712)(587,711)(588,715)(589,714)(590,713)(591,707)(592,706)
(593,710)(594,709)(595,708)(596,717)(597,716)(598,720)(599,719)(600,718)
(721,847)(722,846)(723,850)(724,849)(725,848)(726,842)(727,841)(728,845)
(729,844)(730,843)(731,852)(732,851)(733,855)(734,854)(735,853)(736,862)
(737,861)(738,865)(739,864)(740,863)(741,857)(742,856)(743,860)(744,859)
(745,858)(746,867)(747,866)(748,870)(749,869)(750,868)(751,877)(752,876)
(753,880)(754,879)(755,878)(756,872)(757,871)(758,875)(759,874)(760,873)
(761,882)(762,881)(763,885)(764,884)(765,883)(766,892)(767,891)(768,895)
(769,894)(770,893)(771,887)(772,886)(773,890)(774,889)(775,888)(776,897)
(777,896)(778,900)(779,899)(780,898)(781,907)(782,906)(783,910)(784,909)
(785,908)(786,902)(787,901)(788,905)(789,904)(790,903)(791,912)(792,911)
(793,915)(794,914)(795,913)(796,922)(797,921)(798,925)(799,924)(800,923)
(801,917)(802,916)(803,920)(804,919)(805,918)(806,927)(807,926)(808,930)
(809,929)(810,928)(811,937)(812,936)(813,940)(814,939)(815,938)(816,932)
(817,931)(818,935)(819,934)(820,933)(821,942)(822,941)(823,945)(824,944)
(825,943)(826,952)(827,951)(828,955)(829,954)(830,953)(831,947)(832,946)
(833,950)(834,949)(835,948)(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, 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*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 ];;
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)!( 61, 76)( 62, 77)( 63, 78)( 64, 79)( 65, 80)( 66, 81)( 67, 82)
( 68, 83)( 69, 84)( 70, 85)( 71, 86)( 72, 87)( 73, 88)( 74, 89)( 75, 90)
( 91,106)( 92,107)( 93,108)( 94,109)( 95,110)( 96,111)( 97,112)( 98,113)
( 99,114)(100,115)(101,116)(102,117)(103,118)(104,119)(105,120)(181,196)
(182,197)(183,198)(184,199)(185,200)(186,201)(187,202)(188,203)(189,204)
(190,205)(191,206)(192,207)(193,208)(194,209)(195,210)(211,226)(212,227)
(213,228)(214,229)(215,230)(216,231)(217,232)(218,233)(219,234)(220,235)
(221,236)(222,237)(223,238)(224,239)(225,240)(241,271)(242,272)(243,273)
(244,274)(245,275)(246,276)(247,277)(248,278)(249,279)(250,280)(251,281)
(252,282)(253,283)(254,284)(255,285)(256,286)(257,287)(258,288)(259,289)
(260,290)(261,291)(262,292)(263,293)(264,294)(265,295)(266,296)(267,297)
(268,298)(269,299)(270,300)(301,346)(302,347)(303,348)(304,349)(305,350)
(306,351)(307,352)(308,353)(309,354)(310,355)(311,356)(312,357)(313,358)
(314,359)(315,360)(316,331)(317,332)(318,333)(319,334)(320,335)(321,336)
(322,337)(323,338)(324,339)(325,340)(326,341)(327,342)(328,343)(329,344)
(330,345)(361,391)(362,392)(363,393)(364,394)(365,395)(366,396)(367,397)
(368,398)(369,399)(370,400)(371,401)(372,402)(373,403)(374,404)(375,405)
(376,406)(377,407)(378,408)(379,409)(380,410)(381,411)(382,412)(383,413)
(384,414)(385,415)(386,416)(387,417)(388,418)(389,419)(390,420)(421,466)
(422,467)(423,468)(424,469)(425,470)(426,471)(427,472)(428,473)(429,474)
(430,475)(431,476)(432,477)(433,478)(434,479)(435,480)(436,451)(437,452)
(438,453)(439,454)(440,455)(441,456)(442,457)(443,458)(444,459)(445,460)
(446,461)(447,462)(448,463)(449,464)(450,465)(481,541)(482,542)(483,543)
(484,544)(485,545)(486,546)(487,547)(488,548)(489,549)(490,550)(491,551)
(492,552)(493,553)(494,554)(495,555)(496,556)(497,557)(498,558)(499,559)
(500,560)(501,561)(502,562)(503,563)(504,564)(505,565)(506,566)(507,567)
(508,568)(509,569)(510,570)(511,571)(512,572)(513,573)(514,574)(515,575)
(516,576)(517,577)(518,578)(519,579)(520,580)(521,581)(522,582)(523,583)
(524,584)(525,585)(526,586)(527,587)(528,588)(529,589)(530,590)(531,591)
(532,592)(533,593)(534,594)(535,595)(536,596)(537,597)(538,598)(539,599)
(540,600)(601,661)(602,662)(603,663)(604,664)(605,665)(606,666)(607,667)
(608,668)(609,669)(610,670)(611,671)(612,672)(613,673)(614,674)(615,675)
(616,676)(617,677)(618,678)(619,679)(620,680)(621,681)(622,682)(623,683)
(624,684)(625,685)(626,686)(627,687)(628,688)(629,689)(630,690)(631,691)
(632,692)(633,693)(634,694)(635,695)(636,696)(637,697)(638,698)(639,699)
(640,700)(641,701)(642,702)(643,703)(644,704)(645,705)(646,706)(647,707)
(648,708)(649,709)(650,710)(651,711)(652,712)(653,713)(654,714)(655,715)
(656,716)(657,717)(658,718)(659,719)(660,720)(721,811)(722,812)(723,813)
(724,814)(725,815)(726,816)(727,817)(728,818)(729,819)(730,820)(731,821)
(732,822)(733,823)(734,824)(735,825)(736,826)(737,827)(738,828)(739,829)
(740,830)(741,831)(742,832)(743,833)(744,834)(745,835)(746,836)(747,837)
(748,838)(749,839)(750,840)(751,781)(752,782)(753,783)(754,784)(755,785)
(756,786)(757,787)(758,788)(759,789)(760,790)(761,791)(762,792)(763,793)
(764,794)(765,795)(766,796)(767,797)(768,798)(769,799)(770,800)(771,801)
(772,802)(773,803)(774,804)(775,805)(776,806)(777,807)(778,808)(779,809)
(780,810)(841,931)(842,932)(843,933)(844,934)(845,935)(846,936)(847,937)
(848,938)(849,939)(850,940)(851,941)(852,942)(853,943)(854,944)(855,945)
(856,946)(857,947)(858,948)(859,949)(860,950)(861,951)(862,952)(863,953)
(864,954)(865,955)(866,956)(867,957)(868,958)(869,959)(870,960)(871,901)
(872,902)(873,903)(874,904)(875,905)(876,906)(877,907)(878,908)(879,909)
(880,910)(881,911)(882,912)(883,913)(884,914)(885,915)(886,916)(887,917)
(888,918)(889,919)(890,920)(891,921)(892,922)(893,923)(894,924)(895,925)
(896,926)(897,927)(898,928)(899,929)(900,930);
s2 := Sym(960)!( 1,601)( 2,605)( 3,604)( 4,603)( 5,602)( 6,611)( 7,615)
( 8,614)( 9,613)( 10,612)( 11,606)( 12,610)( 13,609)( 14,608)( 15,607)
( 16,616)( 17,620)( 18,619)( 19,618)( 20,617)( 21,626)( 22,630)( 23,629)
( 24,628)( 25,627)( 26,621)( 27,625)( 28,624)( 29,623)( 30,622)( 31,631)
( 32,635)( 33,634)( 34,633)( 35,632)( 36,641)( 37,645)( 38,644)( 39,643)
( 40,642)( 41,636)( 42,640)( 43,639)( 44,638)( 45,637)( 46,646)( 47,650)
( 48,649)( 49,648)( 50,647)( 51,656)( 52,660)( 53,659)( 54,658)( 55,657)
( 56,651)( 57,655)( 58,654)( 59,653)( 60,652)( 61,676)( 62,680)( 63,679)
( 64,678)( 65,677)( 66,686)( 67,690)( 68,689)( 69,688)( 70,687)( 71,681)
( 72,685)( 73,684)( 74,683)( 75,682)( 76,661)( 77,665)( 78,664)( 79,663)
( 80,662)( 81,671)( 82,675)( 83,674)( 84,673)( 85,672)( 86,666)( 87,670)
( 88,669)( 89,668)( 90,667)( 91,706)( 92,710)( 93,709)( 94,708)( 95,707)
( 96,716)( 97,720)( 98,719)( 99,718)(100,717)(101,711)(102,715)(103,714)
(104,713)(105,712)(106,691)(107,695)(108,694)(109,693)(110,692)(111,701)
(112,705)(113,704)(114,703)(115,702)(116,696)(117,700)(118,699)(119,698)
(120,697)(121,481)(122,485)(123,484)(124,483)(125,482)(126,491)(127,495)
(128,494)(129,493)(130,492)(131,486)(132,490)(133,489)(134,488)(135,487)
(136,496)(137,500)(138,499)(139,498)(140,497)(141,506)(142,510)(143,509)
(144,508)(145,507)(146,501)(147,505)(148,504)(149,503)(150,502)(151,511)
(152,515)(153,514)(154,513)(155,512)(156,521)(157,525)(158,524)(159,523)
(160,522)(161,516)(162,520)(163,519)(164,518)(165,517)(166,526)(167,530)
(168,529)(169,528)(170,527)(171,536)(172,540)(173,539)(174,538)(175,537)
(176,531)(177,535)(178,534)(179,533)(180,532)(181,556)(182,560)(183,559)
(184,558)(185,557)(186,566)(187,570)(188,569)(189,568)(190,567)(191,561)
(192,565)(193,564)(194,563)(195,562)(196,541)(197,545)(198,544)(199,543)
(200,542)(201,551)(202,555)(203,554)(204,553)(205,552)(206,546)(207,550)
(208,549)(209,548)(210,547)(211,586)(212,590)(213,589)(214,588)(215,587)
(216,596)(217,600)(218,599)(219,598)(220,597)(221,591)(222,595)(223,594)
(224,593)(225,592)(226,571)(227,575)(228,574)(229,573)(230,572)(231,581)
(232,585)(233,584)(234,583)(235,582)(236,576)(237,580)(238,579)(239,578)
(240,577)(241,841)(242,845)(243,844)(244,843)(245,842)(246,851)(247,855)
(248,854)(249,853)(250,852)(251,846)(252,850)(253,849)(254,848)(255,847)
(256,856)(257,860)(258,859)(259,858)(260,857)(261,866)(262,870)(263,869)
(264,868)(265,867)(266,861)(267,865)(268,864)(269,863)(270,862)(271,871)
(272,875)(273,874)(274,873)(275,872)(276,881)(277,885)(278,884)(279,883)
(280,882)(281,876)(282,880)(283,879)(284,878)(285,877)(286,886)(287,890)
(288,889)(289,888)(290,887)(291,896)(292,900)(293,899)(294,898)(295,897)
(296,891)(297,895)(298,894)(299,893)(300,892)(301,916)(302,920)(303,919)
(304,918)(305,917)(306,926)(307,930)(308,929)(309,928)(310,927)(311,921)
(312,925)(313,924)(314,923)(315,922)(316,901)(317,905)(318,904)(319,903)
(320,902)(321,911)(322,915)(323,914)(324,913)(325,912)(326,906)(327,910)
(328,909)(329,908)(330,907)(331,946)(332,950)(333,949)(334,948)(335,947)
(336,956)(337,960)(338,959)(339,958)(340,957)(341,951)(342,955)(343,954)
(344,953)(345,952)(346,931)(347,935)(348,934)(349,933)(350,932)(351,941)
(352,945)(353,944)(354,943)(355,942)(356,936)(357,940)(358,939)(359,938)
(360,937)(361,721)(362,725)(363,724)(364,723)(365,722)(366,731)(367,735)
(368,734)(369,733)(370,732)(371,726)(372,730)(373,729)(374,728)(375,727)
(376,736)(377,740)(378,739)(379,738)(380,737)(381,746)(382,750)(383,749)
(384,748)(385,747)(386,741)(387,745)(388,744)(389,743)(390,742)(391,751)
(392,755)(393,754)(394,753)(395,752)(396,761)(397,765)(398,764)(399,763)
(400,762)(401,756)(402,760)(403,759)(404,758)(405,757)(406,766)(407,770)
(408,769)(409,768)(410,767)(411,776)(412,780)(413,779)(414,778)(415,777)
(416,771)(417,775)(418,774)(419,773)(420,772)(421,796)(422,800)(423,799)
(424,798)(425,797)(426,806)(427,810)(428,809)(429,808)(430,807)(431,801)
(432,805)(433,804)(434,803)(435,802)(436,781)(437,785)(438,784)(439,783)
(440,782)(441,791)(442,795)(443,794)(444,793)(445,792)(446,786)(447,790)
(448,789)(449,788)(450,787)(451,826)(452,830)(453,829)(454,828)(455,827)
(456,836)(457,840)(458,839)(459,838)(460,837)(461,831)(462,835)(463,834)
(464,833)(465,832)(466,811)(467,815)(468,814)(469,813)(470,812)(471,821)
(472,825)(473,824)(474,823)(475,822)(476,816)(477,820)(478,819)(479,818)
(480,817);
s3 := Sym(960)!( 1,127)( 2,126)( 3,130)( 4,129)( 5,128)( 6,122)( 7,121)
( 8,125)( 9,124)( 10,123)( 11,132)( 12,131)( 13,135)( 14,134)( 15,133)
( 16,142)( 17,141)( 18,145)( 19,144)( 20,143)( 21,137)( 22,136)( 23,140)
( 24,139)( 25,138)( 26,147)( 27,146)( 28,150)( 29,149)( 30,148)( 31,157)
( 32,156)( 33,160)( 34,159)( 35,158)( 36,152)( 37,151)( 38,155)( 39,154)
( 40,153)( 41,162)( 42,161)( 43,165)( 44,164)( 45,163)( 46,172)( 47,171)
( 48,175)( 49,174)( 50,173)( 51,167)( 52,166)( 53,170)( 54,169)( 55,168)
( 56,177)( 57,176)( 58,180)( 59,179)( 60,178)( 61,187)( 62,186)( 63,190)
( 64,189)( 65,188)( 66,182)( 67,181)( 68,185)( 69,184)( 70,183)( 71,192)
( 72,191)( 73,195)( 74,194)( 75,193)( 76,202)( 77,201)( 78,205)( 79,204)
( 80,203)( 81,197)( 82,196)( 83,200)( 84,199)( 85,198)( 86,207)( 87,206)
( 88,210)( 89,209)( 90,208)( 91,217)( 92,216)( 93,220)( 94,219)( 95,218)
( 96,212)( 97,211)( 98,215)( 99,214)(100,213)(101,222)(102,221)(103,225)
(104,224)(105,223)(106,232)(107,231)(108,235)(109,234)(110,233)(111,227)
(112,226)(113,230)(114,229)(115,228)(116,237)(117,236)(118,240)(119,239)
(120,238)(241,367)(242,366)(243,370)(244,369)(245,368)(246,362)(247,361)
(248,365)(249,364)(250,363)(251,372)(252,371)(253,375)(254,374)(255,373)
(256,382)(257,381)(258,385)(259,384)(260,383)(261,377)(262,376)(263,380)
(264,379)(265,378)(266,387)(267,386)(268,390)(269,389)(270,388)(271,397)
(272,396)(273,400)(274,399)(275,398)(276,392)(277,391)(278,395)(279,394)
(280,393)(281,402)(282,401)(283,405)(284,404)(285,403)(286,412)(287,411)
(288,415)(289,414)(290,413)(291,407)(292,406)(293,410)(294,409)(295,408)
(296,417)(297,416)(298,420)(299,419)(300,418)(301,427)(302,426)(303,430)
(304,429)(305,428)(306,422)(307,421)(308,425)(309,424)(310,423)(311,432)
(312,431)(313,435)(314,434)(315,433)(316,442)(317,441)(318,445)(319,444)
(320,443)(321,437)(322,436)(323,440)(324,439)(325,438)(326,447)(327,446)
(328,450)(329,449)(330,448)(331,457)(332,456)(333,460)(334,459)(335,458)
(336,452)(337,451)(338,455)(339,454)(340,453)(341,462)(342,461)(343,465)
(344,464)(345,463)(346,472)(347,471)(348,475)(349,474)(350,473)(351,467)
(352,466)(353,470)(354,469)(355,468)(356,477)(357,476)(358,480)(359,479)
(360,478)(481,607)(482,606)(483,610)(484,609)(485,608)(486,602)(487,601)
(488,605)(489,604)(490,603)(491,612)(492,611)(493,615)(494,614)(495,613)
(496,622)(497,621)(498,625)(499,624)(500,623)(501,617)(502,616)(503,620)
(504,619)(505,618)(506,627)(507,626)(508,630)(509,629)(510,628)(511,637)
(512,636)(513,640)(514,639)(515,638)(516,632)(517,631)(518,635)(519,634)
(520,633)(521,642)(522,641)(523,645)(524,644)(525,643)(526,652)(527,651)
(528,655)(529,654)(530,653)(531,647)(532,646)(533,650)(534,649)(535,648)
(536,657)(537,656)(538,660)(539,659)(540,658)(541,667)(542,666)(543,670)
(544,669)(545,668)(546,662)(547,661)(548,665)(549,664)(550,663)(551,672)
(552,671)(553,675)(554,674)(555,673)(556,682)(557,681)(558,685)(559,684)
(560,683)(561,677)(562,676)(563,680)(564,679)(565,678)(566,687)(567,686)
(568,690)(569,689)(570,688)(571,697)(572,696)(573,700)(574,699)(575,698)
(576,692)(577,691)(578,695)(579,694)(580,693)(581,702)(582,701)(583,705)
(584,704)(585,703)(586,712)(587,711)(588,715)(589,714)(590,713)(591,707)
(592,706)(593,710)(594,709)(595,708)(596,717)(597,716)(598,720)(599,719)
(600,718)(721,847)(722,846)(723,850)(724,849)(725,848)(726,842)(727,841)
(728,845)(729,844)(730,843)(731,852)(732,851)(733,855)(734,854)(735,853)
(736,862)(737,861)(738,865)(739,864)(740,863)(741,857)(742,856)(743,860)
(744,859)(745,858)(746,867)(747,866)(748,870)(749,869)(750,868)(751,877)
(752,876)(753,880)(754,879)(755,878)(756,872)(757,871)(758,875)(759,874)
(760,873)(761,882)(762,881)(763,885)(764,884)(765,883)(766,892)(767,891)
(768,895)(769,894)(770,893)(771,887)(772,886)(773,890)(774,889)(775,888)
(776,897)(777,896)(778,900)(779,899)(780,898)(781,907)(782,906)(783,910)
(784,909)(785,908)(786,902)(787,901)(788,905)(789,904)(790,903)(791,912)
(792,911)(793,915)(794,914)(795,913)(796,922)(797,921)(798,925)(799,924)
(800,923)(801,917)(802,916)(803,920)(804,919)(805,918)(806,927)(807,926)
(808,930)(809,929)(810,928)(811,937)(812,936)(813,940)(814,939)(815,938)
(816,932)(817,931)(818,935)(819,934)(820,933)(821,942)(822,941)(823,945)
(824,944)(825,943)(826,952)(827,951)(828,955)(829,954)(830,953)(831,947)
(832,946)(833,950)(834,949)(835,948)(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,
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*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 >;
References : None.
to this polytope