Polytope of Type {4,24,10}
This page is part of the Atlas of Small Regular Polytopes
Atlas Canonical Name : {4,24,10}*1920a
Also Known As : {{4,24|2},{24,10|2}}. if this polytope has another name.
Group : SmallGroup(1920,148900)
Rank : 4
Schlafli Type : {4,24,10}
Number of vertices, edges, etc : 4, 48, 120, 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 : {4,12,10}*960a, {2,24,10}*960
3-fold quotients : {4,8,10}*640a
4-fold quotients : {2,12,10}*480, {4,6,10}*480a
5-fold quotients : {4,24,2}*384a
6-fold quotients : {4,4,10}*320, {2,8,10}*320
8-fold quotients : {2,6,10}*240
10-fold quotients : {4,12,2}*192a, {2,24,2}*192
12-fold quotients : {2,4,10}*160, {4,2,10}*160
15-fold quotients : {4,8,2}*128a
20-fold quotients : {2,12,2}*96, {4,6,2}*96a
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 : {2,6,2}*48
48-fold quotients : {2,2,5}*40
60-fold quotients : {2,4,2}*32, {4,2,2}*32
80-fold quotients : {2,3,2}*24
120-fold quotients : {2,2,2}*16
Covers (Minimal Covers in Boldface) :
None in this atlas.
Irregular Quotients (of which this is a minimal cover):
None.
Permutation Representation (GAP) :
s0 := ( 1,241)( 2,242)( 3,243)( 4,244)( 5,245)( 6,246)( 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 := ( 6, 11)( 7, 12)( 8, 13)( 9, 14)( 10, 15)( 21, 26)( 22, 27)( 23, 28)( 24, 29)( 25, 30)( 36, 41)( 37, 42)( 38, 43)( 39, 44)( 40, 45)( 51, 56)( 52, 57)( 53, 58)( 54, 59)( 55, 60)
( 61, 76)( 62, 77)( 63, 78)( 64, 79)( 65, 80)( 66, 86)( 67, 87)( 68, 88)( 69, 89)( 70, 90)( 71, 81)( 72, 82)( 73, 83)( 74, 84)( 75, 85)( 91,106)( 92,107)( 93,108)( 94,109)( 95,110)( 96,116)( 97,117)( 98,118)( 99,119)(100,120)(101,111)(102,112)(103,113)(104,114)(105,115)(126,131)(127,132)(128,133)(129,134)(130,135)(141,146)(142,147)(143,148)(144,149)(145,150)(156,161)(157,162)(158,163)(159,164)(160,165)(171,176)(172,177)(173,178)(174,179)(175,180)(181,196)(182,197)(183,198)(184,199)(185,200)(186,206)(187,207)(188,208)(189,209)(190,210)(191,201)(192,202)(193,203)(194,204)(195,205)(211,226)(212,227)(213,228)(214,229)(215,230)(216,236)(217,237)(218,238)(219,239)(220,240)(221,231)(222,232)(223,233)(224,234)(225,235)(241,271)(242,272)(243,273)(244,274)(245,275)(246,281)(247,282)(248,283)(249,284)(250,285)(251,276)(252,277)(253,278)(254,279)(255,280)(256,286)(257,287)(258,288)(259,289)(260,290)(261,296)(262,297)(263,298)(264,299)(265,300)(266,291)(267,292)(268,293)(269,294)(270,295)(301,346)(302,347)(303,348)(304,349)(305,350)(306,356)(307,357)(308,358)(309,359)(310,360)(311,351)(312,352)(313,353)(314,354)(315,355)(316,331)(317,332)(318,333)(319,334)(320,335)(321,341)(322,342)(323,343)(324,344)(325,345)(326,336)(327,337)(328,338)(329,339)(330,340)(361,391)(362,392)(363,393)(364,394)(365,395)(366,401)(367,402)(368,403)(369,404)(370,405)(371,396)(372,397)(373,398)(374,399)(375,400)(376,406)(377,407)(378,408)(379,409)(380,410)(381,416)(382,417)(383,418)(384,419)(385,420)(386,411)(387,412)(388,413)(389,414)(390,415)(421,466)(422,467)(423,468)(424,469)(425,470)(426,476)(427,477)(428,478)(429,479)(430,480)(431,471)(432,472)(433,473)(434,474)(435,475)(436,451)(437,452)(438,453)(439,454)(440,455)(441,461)(442,462)(443,463)(444,464)(445,465)(446,456)(447,457)(448,458)(449,459)(450,460)(481,541)(482,542)(483,543)(484,544)(485,545)(486,551)(487,552)(488,553)(489,554)(490,555)(491,546)(492,547)(493,548)(494,549)(495,550)(496,556)(497,557)(498,558)(499,559)(500,560)(501,566)(502,567)(503,568)(504,569)(505,570)(506,561)(507,562)(508,563)(509,564)(510,565)(511,571)(512,572)(513,573)(514,574)(515,575)(516,581)(517,582)(518,583)(519,584)(520,585)(521,576)(522,577)(523,578)(524,579)(525,580)(526,586)(527,587)(528,588)(529,589)(530,590)(531,596)(532,597)(533,598)(534,599)(535,600)(536,591)(537,592)(538,593)(539,594)(540,595)(601,661)(602,662)(603,663)(604,664)(605,665)(606,671)(607,672)(608,673)(609,674)(610,675)(611,666)(612,667)(613,668)(614,669)(615,670)(616,676)(617,677)(618,678)(619,679)(620,680)(621,686)(622,687)(623,688)(624,689)(625,690)(626,681)(627,682)(628,683)(629,684)(630,685)(631,691)(632,692)(633,693)(634,694)(635,695)(636,701)(637,702)(638,703)(639,704)(640,705)(641,696)(642,697)(643,698)(644,699)(645,700)(646,706)(647,707)(648,708)(649,709)(650,710)(651,716)(652,717)(653,718)(654,719)(655,720)(656,711)(657,712)(658,713)(659,714)(660,715)(721,811)(722,812)(723,813)(724,814)(725,815)(726,821)(727,822)(728,823)(729,824)(730,825)(731,816)(732,817)(733,818)(734,819)(735,820)(736,826)(737,827)(738,828)(739,829)(740,830)(741,836)(742,837)(743,838)(744,839)(745,840)(746,831)(747,832)(748,833)(749,834)(750,835)(751,781)(752,782)(753,783)(754,784)(755,785)(756,791)(757,792)(758,793)(759,794)(760,795)(761,786)(762,787)(763,788)(764,789)(765,790)(766,796)(767,797)(768,798)(769,799)(770,800)(771,806)(772,807)(773,808)(774,809)(775,810)(776,801)(777,802)(778,803)(779,804)(780,805)(841,931)(842,932)(843,933)(844,934)(845,935)(846,941)(847,942)(848,943)(849,944)(850,945)(851,936)(852,937)(853,938)(854,939)(855,940)(856,946)(857,947)(858,948)(859,949)(860,950)(861,956)(862,957)(863,958)(864,959)(865,960)(866,951)(867,952)(868,953)(869,954)(870,955)(871,901)(872,902)(873,903)(874,904)(875,905)(876,911)(877,912)(878,913)(879,914)(880,915)(881,906)(882,907)(883,908)(884,909)(885,910)(886,916)(887,917)(888,918)(889,919)(890,920)(891,926)(892,927)(893,928)(894,929)(895,930)(896,921)(897,922)(898,923)(899,924)(900,925);;
s2 := ( 1,606)( 2,610)( 3,609)( 4,608)( 5,607)( 6,601)( 7,605)( 8,604)( 9,603)( 10,602)( 11,611)( 12,615)( 13,614)( 14,613)( 15,612)( 16,621)( 17,625)( 18,624)( 19,623)( 20,622)
( 21,616)( 22,620)( 23,619)( 24,618)( 25,617)( 26,626)( 27,630)( 28,629)( 29,628)( 30,627)( 31,636)( 32,640)( 33,639)( 34,638)( 35,637)( 36,631)( 37,635)( 38,634)( 39,633)( 40,632)( 41,641)( 42,645)( 43,644)( 44,643)( 45,642)( 46,651)( 47,655)( 48,654)( 49,653)( 50,652)( 51,646)( 52,650)( 53,649)( 54,648)( 55,647)( 56,656)( 57,660)( 58,659)( 59,658)( 60,657)( 61,681)( 62,685)( 63,684)( 64,683)( 65,682)( 66,676)( 67,680)( 68,679)( 69,678)( 70,677)( 71,686)( 72,690)( 73,689)( 74,688)( 75,687)( 76,666)( 77,670)( 78,669)( 79,668)( 80,667)( 81,661)( 82,665)( 83,664)( 84,663)( 85,662)( 86,671)( 87,675)( 88,674)( 89,673)( 90,672)( 91,711)( 92,715)( 93,714)( 94,713)( 95,712)( 96,706)( 97,710)( 98,709)( 99,708)(100,707)(101,716)(102,720)(103,719)(104,718)(105,717)(106,696)(107,700)(108,699)(109,698)(110,697)(111,691)(112,695)(113,694)(114,693)(115,692)(116,701)(117,705)(118,704)(119,703)(120,702)(121,486)(122,490)(123,489)(124,488)(125,487)(126,481)(127,485)(128,484)(129,483)(130,482)(131,491)(132,495)(133,494)(134,493)(135,492)(136,501)(137,505)(138,504)(139,503)(140,502)(141,496)(142,500)(143,499)(144,498)(145,497)(146,506)(147,510)(148,509)(149,508)(150,507)(151,516)(152,520)(153,519)(154,518)(155,517)(156,511)(157,515)(158,514)(159,513)(160,512)(161,521)(162,525)(163,524)(164,523)(165,522)(166,531)(167,535)(168,534)(169,533)(170,532)(171,526)(172,530)(173,529)(174,528)(175,527)(176,536)(177,540)(178,539)(179,538)(180,537)(181,561)(182,565)(183,564)(184,563)(185,562)(186,556)(187,560)(188,559)(189,558)(190,557)(191,566)(192,570)(193,569)(194,568)(195,567)(196,546)(197,550)(198,549)(199,548)(200,547)(201,541)(202,545)(203,544)(204,543)(205,542)(206,551)(207,555)(208,554)(209,553)(210,552)(211,591)(212,595)(213,594)(214,593)(215,592)(216,586)(217,590)(218,589)(219,588)(220,587)(221,596)(222,600)(223,599)(224,598)(225,597)(226,576)(227,580)(228,579)(229,578)(230,577)(231,571)(232,575)(233,574)(234,573)(235,572)(236,581)(237,585)(238,584)(239,583)(240,582)(241,846)(242,850)(243,849)(244,848)(245,847)(246,841)(247,845)(248,844)(249,843)(250,842)(251,851)(252,855)(253,854)(254,853)(255,852)(256,861)(257,865)(258,864)(259,863)(260,862)(261,856)(262,860)(263,859)(264,858)(265,857)(266,866)(267,870)(268,869)(269,868)(270,867)(271,876)(272,880)(273,879)(274,878)(275,877)(276,871)(277,875)(278,874)(279,873)(280,872)(281,881)(282,885)(283,884)(284,883)(285,882)(286,891)(287,895)(288,894)(289,893)(290,892)(291,886)(292,890)(293,889)(294,888)(295,887)(296,896)(297,900)(298,899)(299,898)(300,897)(301,921)(302,925)(303,924)(304,923)(305,922)(306,916)(307,920)(308,919)(309,918)(310,917)(311,926)(312,930)(313,929)(314,928)(315,927)(316,906)(317,910)(318,909)(319,908)(320,907)(321,901)(322,905)(323,904)(324,903)(325,902)(326,911)(327,915)(328,914)(329,913)(330,912)(331,951)(332,955)(333,954)(334,953)(335,952)(336,946)(337,950)(338,949)(339,948)(340,947)(341,956)(342,960)(343,959)(344,958)(345,957)(346,936)(347,940)(348,939)(349,938)(350,937)(351,931)(352,935)(353,934)(354,933)(355,932)(356,941)(357,945)(358,944)(359,943)(360,942)(361,726)(362,730)(363,729)(364,728)(365,727)(366,721)(367,725)(368,724)(369,723)(370,722)(371,731)(372,735)(373,734)(374,733)(375,732)(376,741)(377,745)(378,744)(379,743)(380,742)(381,736)(382,740)(383,739)(384,738)(385,737)(386,746)(387,750)(388,749)(389,748)(390,747)(391,756)(392,760)(393,759)(394,758)(395,757)(396,751)(397,755)(398,754)(399,753)(400,752)(401,761)(402,765)(403,764)(404,763)(405,762)(406,771)(407,775)(408,774)(409,773)(410,772)(411,766)(412,770)(413,769)(414,768)(415,767)(416,776)(417,780)(418,779)(419,778)(420,777)(421,801)(422,805)(423,804)(424,803)(425,802)(426,796)(427,800)(428,799)(429,798)(430,797)(431,806)(432,810)(433,809)(434,808)(435,807)(436,786)(437,790)(438,789)(439,788)(440,787)(441,781)(442,785)(443,784)(444,783)(445,782)(446,791)(447,795)(448,794)(449,793)(450,792)(451,831)(452,835)(453,834)(454,833)(455,832)(456,826)(457,830)(458,829)(459,828)(460,827)(461,836)(462,840)(463,839)(464,838)(465,837)(466,816)(467,820)(468,819)(469,818)(470,817)(471,811)(472,815)(473,814)(474,813)
(475,812)(476,821)(477,825)(478,824)(479,823)(480,822);;
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, s0*s1*s0*s1*s0*s1*s0*s1,
s0*s1*s2*s1*s0*s1*s2*s1, s1*s2*s3*s2*s1*s2*s3*s2,
s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3,
s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2 ];;
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)!( 6, 11)( 7, 12)( 8, 13)( 9, 14)( 10, 15)( 21, 26)( 22, 27)( 23, 28)( 24, 29)( 25, 30)( 36, 41)( 37, 42)( 38, 43)( 39, 44)( 40, 45)( 51, 56)( 52, 57)( 53, 58)( 54, 59)
( 55, 60)( 61, 76)( 62, 77)( 63, 78)( 64, 79)( 65, 80)( 66, 86)( 67, 87)( 68, 88)( 69, 89)( 70, 90)( 71, 81)( 72, 82)( 73, 83)( 74, 84)( 75, 85)( 91,106)( 92,107)( 93,108)( 94,109)( 95,110)( 96,116)( 97,117)( 98,118)( 99,119)(100,120)(101,111)(102,112)(103,113)(104,114)(105,115)(126,131)(127,132)(128,133)(129,134)(130,135)(141,146)(142,147)(143,148)(144,149)(145,150)(156,161)(157,162)(158,163)(159,164)(160,165)(171,176)(172,177)(173,178)(174,179)(175,180)(181,196)(182,197)(183,198)(184,199)(185,200)(186,206)(187,207)(188,208)(189,209)(190,210)(191,201)(192,202)(193,203)(194,204)(195,205)(211,226)(212,227)(213,228)(214,229)(215,230)(216,236)(217,237)(218,238)(219,239)(220,240)(221,231)(222,232)(223,233)(224,234)(225,235)(241,271)(242,272)(243,273)(244,274)(245,275)(246,281)(247,282)(248,283)(249,284)(250,285)(251,276)(252,277)(253,278)(254,279)(255,280)(256,286)(257,287)(258,288)(259,289)(260,290)(261,296)(262,297)(263,298)(264,299)(265,300)(266,291)(267,292)(268,293)(269,294)(270,295)(301,346)(302,347)(303,348)(304,349)(305,350)(306,356)(307,357)(308,358)(309,359)(310,360)(311,351)(312,352)(313,353)(314,354)(315,355)(316,331)(317,332)(318,333)(319,334)(320,335)(321,341)(322,342)(323,343)(324,344)(325,345)(326,336)(327,337)(328,338)(329,339)(330,340)(361,391)(362,392)(363,393)(364,394)(365,395)(366,401)(367,402)(368,403)(369,404)(370,405)(371,396)(372,397)(373,398)(374,399)(375,400)(376,406)(377,407)(378,408)(379,409)(380,410)(381,416)(382,417)(383,418)(384,419)(385,420)(386,411)(387,412)(388,413)(389,414)(390,415)(421,466)(422,467)(423,468)(424,469)(425,470)(426,476)(427,477)(428,478)(429,479)(430,480)(431,471)(432,472)(433,473)(434,474)(435,475)(436,451)(437,452)(438,453)(439,454)(440,455)(441,461)(442,462)(443,463)(444,464)(445,465)(446,456)(447,457)(448,458)(449,459)(450,460)(481,541)(482,542)(483,543)(484,544)(485,545)(486,551)(487,552)(488,553)(489,554)(490,555)(491,546)(492,547)(493,548)(494,549)(495,550)(496,556)(497,557)(498,558)(499,559)(500,560)(501,566)(502,567)(503,568)(504,569)(505,570)(506,561)(507,562)(508,563)(509,564)(510,565)(511,571)(512,572)(513,573)(514,574)(515,575)(516,581)(517,582)(518,583)(519,584)(520,585)(521,576)(522,577)(523,578)(524,579)(525,580)(526,586)(527,587)(528,588)(529,589)(530,590)(531,596)(532,597)(533,598)(534,599)(535,600)(536,591)(537,592)(538,593)(539,594)(540,595)(601,661)(602,662)(603,663)(604,664)(605,665)(606,671)(607,672)(608,673)(609,674)(610,675)(611,666)(612,667)(613,668)(614,669)(615,670)(616,676)(617,677)(618,678)(619,679)(620,680)(621,686)(622,687)(623,688)(624,689)(625,690)(626,681)(627,682)(628,683)(629,684)(630,685)(631,691)(632,692)(633,693)(634,694)(635,695)(636,701)(637,702)(638,703)(639,704)(640,705)(641,696)(642,697)(643,698)(644,699)(645,700)(646,706)(647,707)(648,708)(649,709)(650,710)(651,716)(652,717)(653,718)(654,719)(655,720)(656,711)(657,712)(658,713)(659,714)(660,715)(721,811)(722,812)(723,813)(724,814)(725,815)(726,821)(727,822)(728,823)(729,824)(730,825)(731,816)(732,817)(733,818)(734,819)(735,820)(736,826)(737,827)(738,828)(739,829)(740,830)(741,836)(742,837)(743,838)(744,839)(745,840)(746,831)(747,832)(748,833)(749,834)(750,835)(751,781)(752,782)(753,783)(754,784)(755,785)(756,791)(757,792)(758,793)(759,794)(760,795)(761,786)(762,787)(763,788)(764,789)(765,790)(766,796)(767,797)(768,798)(769,799)(770,800)(771,806)(772,807)(773,808)(774,809)(775,810)(776,801)(777,802)(778,803)(779,804)(780,805)(841,931)(842,932)(843,933)(844,934)(845,935)(846,941)(847,942)(848,943)(849,944)(850,945)(851,936)(852,937)(853,938)(854,939)(855,940)(856,946)(857,947)(858,948)(859,949)(860,950)(861,956)(862,957)(863,958)(864,959)(865,960)(866,951)(867,952)(868,953)(869,954)(870,955)(871,901)(872,902)(873,903)(874,904)(875,905)(876,911)(877,912)(878,913)(879,914)(880,915)(881,906)(882,907)(883,908)(884,909)(885,910)(886,916)(887,917)(888,918)(889,919)(890,920)(891,926)(892,927)(893,928)(894,929)(895,930)(896,921)(897,922)(898,923)(899,924)(900,925);
s2 := Sym(960)!( 1,606)( 2,610)( 3,609)( 4,608)( 5,607)( 6,601)( 7,605)( 8,604)( 9,603)( 10,602)( 11,611)( 12,615)( 13,614)( 14,613)( 15,612)( 16,621)( 17,625)( 18,624)( 19,623)
( 20,622)( 21,616)( 22,620)( 23,619)( 24,618)( 25,617)( 26,626)( 27,630)( 28,629)( 29,628)( 30,627)( 31,636)( 32,640)( 33,639)( 34,638)( 35,637)( 36,631)( 37,635)( 38,634)( 39,633)( 40,632)( 41,641)( 42,645)( 43,644)( 44,643)( 45,642)( 46,651)( 47,655)( 48,654)( 49,653)( 50,652)( 51,646)( 52,650)( 53,649)( 54,648)( 55,647)( 56,656)( 57,660)( 58,659)( 59,658)( 60,657)( 61,681)( 62,685)( 63,684)( 64,683)( 65,682)( 66,676)( 67,680)( 68,679)( 69,678)( 70,677)( 71,686)( 72,690)( 73,689)( 74,688)( 75,687)( 76,666)( 77,670)( 78,669)( 79,668)( 80,667)( 81,661)( 82,665)( 83,664)( 84,663)( 85,662)( 86,671)( 87,675)( 88,674)( 89,673)( 90,672)( 91,711)( 92,715)( 93,714)( 94,713)( 95,712)( 96,706)( 97,710)( 98,709)( 99,708)(100,707)(101,716)(102,720)(103,719)(104,718)(105,717)(106,696)(107,700)(108,699)(109,698)(110,697)(111,691)(112,695)(113,694)(114,693)(115,692)(116,701)(117,705)(118,704)(119,703)(120,702)(121,486)(122,490)(123,489)(124,488)(125,487)(126,481)(127,485)(128,484)(129,483)(130,482)(131,491)(132,495)(133,494)(134,493)(135,492)(136,501)(137,505)(138,504)(139,503)(140,502)(141,496)(142,500)(143,499)(144,498)(145,497)(146,506)(147,510)(148,509)(149,508)(150,507)(151,516)(152,520)(153,519)(154,518)(155,517)(156,511)(157,515)(158,514)(159,513)(160,512)(161,521)(162,525)(163,524)(164,523)(165,522)(166,531)(167,535)(168,534)(169,533)(170,532)(171,526)(172,530)(173,529)(174,528)(175,527)(176,536)(177,540)(178,539)(179,538)(180,537)(181,561)(182,565)(183,564)(184,563)(185,562)(186,556)(187,560)(188,559)(189,558)(190,557)(191,566)(192,570)(193,569)(194,568)(195,567)(196,546)(197,550)(198,549)(199,548)(200,547)(201,541)(202,545)(203,544)(204,543)(205,542)(206,551)(207,555)(208,554)(209,553)(210,552)(211,591)(212,595)(213,594)(214,593)(215,592)(216,586)(217,590)(218,589)(219,588)(220,587)(221,596)(222,600)(223,599)(224,598)(225,597)(226,576)(227,580)(228,579)(229,578)(230,577)(231,571)(232,575)(233,574)(234,573)(235,572)(236,581)(237,585)(238,584)(239,583)(240,582)(241,846)(242,850)(243,849)(244,848)(245,847)(246,841)(247,845)(248,844)(249,843)(250,842)(251,851)(252,855)(253,854)(254,853)(255,852)(256,861)(257,865)(258,864)(259,863)(260,862)(261,856)(262,860)(263,859)(264,858)(265,857)(266,866)(267,870)(268,869)(269,868)(270,867)(271,876)(272,880)(273,879)(274,878)(275,877)(276,871)(277,875)(278,874)(279,873)(280,872)(281,881)(282,885)(283,884)(284,883)(285,882)(286,891)(287,895)(288,894)(289,893)(290,892)(291,886)(292,890)(293,889)(294,888)(295,887)(296,896)(297,900)(298,899)(299,898)(300,897)(301,921)(302,925)(303,924)(304,923)(305,922)(306,916)(307,920)(308,919)(309,918)(310,917)(311,926)(312,930)(313,929)(314,928)(315,927)(316,906)(317,910)(318,909)(319,908)(320,907)(321,901)(322,905)(323,904)(324,903)(325,902)(326,911)(327,915)(328,914)(329,913)(330,912)(331,951)(332,955)(333,954)(334,953)(335,952)(336,946)(337,950)(338,949)(339,948)(340,947)(341,956)(342,960)(343,959)(344,958)(345,957)(346,936)(347,940)(348,939)(349,938)(350,937)(351,931)(352,935)(353,934)(354,933)(355,932)(356,941)(357,945)(358,944)(359,943)(360,942)(361,726)(362,730)(363,729)(364,728)(365,727)(366,721)(367,725)(368,724)(369,723)(370,722)(371,731)(372,735)(373,734)(374,733)(375,732)(376,741)(377,745)(378,744)(379,743)(380,742)(381,736)(382,740)(383,739)(384,738)(385,737)(386,746)(387,750)(388,749)(389,748)(390,747)(391,756)(392,760)(393,759)(394,758)(395,757)(396,751)(397,755)(398,754)(399,753)(400,752)(401,761)(402,765)(403,764)(404,763)(405,762)(406,771)(407,775)(408,774)(409,773)(410,772)(411,766)(412,770)(413,769)(414,768)(415,767)(416,776)(417,780)(418,779)(419,778)(420,777)(421,801)(422,805)(423,804)(424,803)(425,802)(426,796)(427,800)(428,799)(429,798)(430,797)(431,806)(432,810)(433,809)(434,808)(435,807)(436,786)(437,790)(438,789)(439,788)(440,787)(441,781)(442,785)(443,784)(444,783)(445,782)(446,791)(447,795)(448,794)(449,793)(450,792)(451,831)(452,835)(453,834)(454,833)(455,832)(456,826)(457,830)(458,829)(459,828)(460,827)(461,836)(462,840)(463,839)(464,838)(465,837)(466,816)(467,820)(468,819)(469,818)(470,817)(471,811)(472,815)(473,814)
(474,813)(475,812)(476,821)(477,825)(478,824)(479,823)(480,822);
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,
s0*s1*s0*s1*s0*s1*s0*s1, s0*s1*s2*s1*s0*s1*s2*s1,
s1*s2*s3*s2*s1*s2*s3*s2, s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3,
s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2 >;
References : None.
to this polytope