Polytope of Type {4,8,30}
This page is part of the Atlas of Small Regular Polytopes
Atlas Canonical Name : {4,8,30}*1920b
if this polytope has a name.
Group : SmallGroup(1920,150654)
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
3-fold quotients : {4,8,10}*640b
4-fold quotients : {2,4,30}*480a, {4,2,30}*480
5-fold quotients : {4,8,6}*384b
6-fold quotients : {4,4,10}*320
8-fold quotients : {4,2,15}*240, {2,2,30}*240
10-fold quotients : {4,4,6}*192
12-fold quotients : {2,4,10}*160, {4,2,10}*160
15-fold quotients : {4,8,2}*128b
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
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.
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)( 61,316)( 62,317)( 63,318)( 64,319)( 65,320)( 66,321)( 67,322)( 68,323)( 69,324)( 70,325)( 71,326)( 72,327)( 73,328)( 74,329)( 75,330)( 76,301)( 77,302)( 78,303)( 79,304)( 80,305)( 81,306)( 82,307)( 83,308)( 84,309)( 85,310)( 86,311)( 87,312)( 88,313)( 89,314)( 90,315)( 91,346)( 92,347)( 93,348)( 94,349)( 95,350)( 96,351)( 97,352)( 98,353)( 99,354)(100,355)(101,356)(102,357)(103,358)(104,359)(105,360)(106,331)(107,332)(108,333)(109,334)(110,335)(111,336)(112,337)(113,338)(114,339)(115,340)(116,341)(117,342)(118,343)(119,344)(120,345)(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)(181,436)(182,437)(183,438)(184,439)(185,440)(186,441)(187,442)(188,443)(189,444)(190,445)(191,446)(192,447)(193,448)(194,449)(195,450)(196,421)(197,422)(198,423)(199,424)(200,425)(201,426)(202,427)(203,428)(204,429)(205,430)(206,431)(207,432)(208,433)(209,434)(210,435)(211,466)(212,467)(213,468)(214,469)(215,470)(216,471)(217,472)(218,473)(219,474)(220,475)(221,476)(222,477)(223,478)(224,479)(225,480)(226,451)(227,452)(228,453)(229,454)(230,455)(231,456)(232,457)(233,458)(234,459)(235,460)(236,461)(237,462)(238,463)(239,464)(240,465)(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)(541,796)(542,797)(543,798)(544,799)(545,800)(546,801)(547,802)(548,803)(549,804)(550,805)(551,806)(552,807)(553,808)(554,809)(555,810)(556,781)(557,782)(558,783)(559,784)(560,785)(561,786)(562,787)(563,788)(564,789)(565,790)(566,791)(567,792)(568,793)(569,794)(570,795)(571,826)(572,827)(573,828)(574,829)(575,830)(576,831)(577,832)(578,833)(579,834)(580,835)(581,836)(582,837)(583,838)(584,839)(585,840)(586,811)(587,812)(588,813)(589,814)(590,815)(591,816)(592,817)(593,818)(594,819)(595,820)(596,821)(597,822)(598,823)(599,824)(600,825)(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)(661,916)(662,917)(663,918)(664,919)(665,920)(666,921)(667,922)(668,923)(669,924)(670,925)(671,926)(672,927)(673,928)(674,929)(675,930)(676,901)(677,902)(678,903)(679,904)(680,905)(681,906)(682,907)(683,908)(684,909)(685,910)(686,911)(687,912)(688,913)(689,914)(690,915)(691,946)(692,947)(693,948)(694,949)(695,950)(696,951)(697,952)(698,953)(699,954)(700,955)(701,956)(702,957)(703,958)(704,959)(705,960)(706,931)(707,932)(708,933)(709,934)(710,935)(711,936)(712,937)(713,938)(714,939)
(715,940)(716,941)(717,942)(718,943)(719,944)(720,945);;
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)(721,826)(722,827)(723,828)(724,829)(725,830)(726,831)(727,832)(728,833)(729,834)(730,835)(731,836)(732,837)(733,838)(734,839)(735,840)(736,811)(737,812)(738,813)(739,814)(740,815)(741,816)(742,817)(743,818)(744,819)(745,820)(746,821)(747,822)(748,823)(749,824)(750,825)(751,796)(752,797)(753,798)(754,799)(755,800)(756,801)(757,802)(758,803)(759,804)(760,805)(761,806)(762,807)(763,808)(764,809)(765,810)(766,781)(767,782)(768,783)(769,784)(770,785)(771,786)(772,787)(773,788)(774,789)(775,790)(776,791)(777,792)(778,793)(779,794)(780,795)(841,946)(842,947)(843,948)(844,949)(845,950)(846,951)(847,952)(848,953)(849,954)(850,955)(851,956)(852,957)(853,958)(854,959)(855,960)(856,931)(857,932)(858,933)(859,934)(860,935)(861,936)(862,937)(863,938)(864,939)(865,940)(866,941)(867,942)(868,943)(869,944)(870,945)(871,916)(872,917)(873,918)(874,919)(875,920)(876,921)(877,922)(878,923)(879,924)(880,925)(881,926)(882,927)(883,928)(884,929)(885,930)(886,901)(887,902)(888,903)(889,904)(890,905)(891,906)(892,907)(893,908)(894,909)(895,910)(896,911)(897,912)(898,913)(899,914)(900,915);;
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)( 31,646)( 32,650)( 33,649)( 34,648)( 35,647)( 36,656)( 37,660)( 38,659)( 39,658)( 40,657)( 41,651)( 42,655)( 43,654)( 44,653)( 45,652)( 46,631)( 47,635)( 48,634)( 49,633)( 50,632)( 51,641)( 52,645)( 53,644)( 54,643)( 55,642)( 56,636)( 57,640)( 58,639)( 59,638)( 60,637)( 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)( 91,691)( 92,695)( 93,694)( 94,693)( 95,692)( 96,701)( 97,705)( 98,704)( 99,703)(100,702)(101,696)(102,700)(103,699)(104,698)(105,697)(106,706)(107,710)(108,709)(109,708)(110,707)(111,716)(112,720)(113,719)(114,718)(115,717)(116,711)(117,715)(118,714)(119,713)(120,712)(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)(151,526)(152,530)(153,529)(154,528)(155,527)(156,536)(157,540)(158,539)(159,538)(160,537)(161,531)(162,535)(163,534)(164,533)(165,532)(166,511)(167,515)(168,514)(169,513)(170,512)(171,521)(172,525)(173,524)(174,523)(175,522)(176,516)(177,520)(178,519)(179,518)(180,517)(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)(211,571)(212,575)(213,574)(214,573)(215,572)(216,581)(217,585)(218,584)(219,583)(220,582)(221,576)(222,580)(223,579)(224,578)(225,577)(226,586)(227,590)(228,589)(229,588)(230,587)(231,596)(232,600)(233,599)(234,598)(235,597)(236,591)(237,595)(238,594)(239,593)(240,592)(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)(271,886)(272,890)(273,889)(274,888)(275,887)(276,896)(277,900)(278,899)(279,898)(280,897)(281,891)(282,895)(283,894)(284,893)(285,892)(286,871)(287,875)(288,874)(289,873)(290,872)(291,881)(292,885)(293,884)(294,883)(295,882)(296,876)(297,880)(298,879)(299,878)(300,877)(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)(331,931)(332,935)(333,934)(334,933)(335,932)(336,941)(337,945)(338,944)(339,943)(340,942)(341,936)(342,940)(343,939)(344,938)(345,937)(346,946)(347,950)(348,949)(349,948)(350,947)(351,956)(352,960)(353,959)(354,958)(355,957)(356,951)(357,955)(358,954)(359,953)(360,952)(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)(391,766)(392,770)(393,769)(394,768)(395,767)(396,776)(397,780)(398,779)(399,778)(400,777)(401,771)(402,775)(403,774)(404,773)(405,772)(406,751)(407,755)(408,754)(409,753)(410,752)(411,761)(412,765)(413,764)(414,763)(415,762)(416,756)(417,760)(418,759)(419,758)(420,757)(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)(451,811)(452,815)(453,814)(454,813)(455,812)(456,821)(457,825)(458,824)(459,823)(460,822)(461,816)(462,820)(463,819)(464,818)(465,817)(466,826)(467,830)(468,829)(469,828)(470,827)(471,836)(472,840)(473,839)(474,838)
(475,837)(476,831)(477,835)(478,834)(479,833)(480,832);;
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,
s1*s2*s3*s2*s1*s2*s3*s2, s2*s0*s1*s2*s1*s2*s0*s1*s2*s1,
s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*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)( 61,316)( 62,317)( 63,318)( 64,319)( 65,320)( 66,321)( 67,322)( 68,323)( 69,324)( 70,325)( 71,326)( 72,327)( 73,328)( 74,329)( 75,330)( 76,301)( 77,302)( 78,303)( 79,304)( 80,305)( 81,306)( 82,307)( 83,308)( 84,309)( 85,310)( 86,311)( 87,312)( 88,313)( 89,314)( 90,315)( 91,346)( 92,347)( 93,348)( 94,349)( 95,350)( 96,351)( 97,352)( 98,353)( 99,354)(100,355)(101,356)(102,357)(103,358)(104,359)(105,360)(106,331)(107,332)(108,333)(109,334)(110,335)(111,336)(112,337)(113,338)(114,339)(115,340)(116,341)(117,342)(118,343)(119,344)(120,345)(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)(181,436)(182,437)(183,438)(184,439)(185,440)(186,441)(187,442)(188,443)(189,444)(190,445)(191,446)(192,447)(193,448)(194,449)(195,450)(196,421)(197,422)(198,423)(199,424)(200,425)(201,426)(202,427)(203,428)(204,429)(205,430)(206,431)(207,432)(208,433)(209,434)(210,435)(211,466)(212,467)(213,468)(214,469)(215,470)(216,471)(217,472)(218,473)(219,474)(220,475)(221,476)(222,477)(223,478)(224,479)(225,480)(226,451)(227,452)(228,453)(229,454)(230,455)(231,456)(232,457)(233,458)(234,459)(235,460)(236,461)(237,462)(238,463)(239,464)(240,465)(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)(541,796)(542,797)(543,798)(544,799)(545,800)(546,801)(547,802)(548,803)(549,804)(550,805)(551,806)(552,807)(553,808)(554,809)(555,810)(556,781)(557,782)(558,783)(559,784)(560,785)(561,786)(562,787)(563,788)(564,789)(565,790)(566,791)(567,792)(568,793)(569,794)(570,795)(571,826)(572,827)(573,828)(574,829)(575,830)(576,831)(577,832)(578,833)(579,834)(580,835)(581,836)(582,837)(583,838)(584,839)(585,840)(586,811)(587,812)(588,813)(589,814)(590,815)(591,816)(592,817)(593,818)(594,819)(595,820)(596,821)(597,822)(598,823)(599,824)(600,825)(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)(661,916)(662,917)(663,918)(664,919)(665,920)(666,921)(667,922)(668,923)(669,924)(670,925)(671,926)(672,927)(673,928)(674,929)(675,930)(676,901)(677,902)(678,903)(679,904)(680,905)(681,906)(682,907)(683,908)(684,909)(685,910)(686,911)(687,912)(688,913)(689,914)(690,915)(691,946)(692,947)(693,948)(694,949)(695,950)(696,951)(697,952)(698,953)(699,954)(700,955)(701,956)(702,957)(703,958)(704,959)(705,960)(706,931)(707,932)(708,933)(709,934)(710,935)(711,936)(712,937)(713,938)
(714,939)(715,940)(716,941)(717,942)(718,943)(719,944)(720,945);
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)(721,826)(722,827)(723,828)(724,829)(725,830)(726,831)(727,832)(728,833)(729,834)(730,835)(731,836)(732,837)(733,838)(734,839)(735,840)(736,811)(737,812)(738,813)(739,814)(740,815)(741,816)(742,817)(743,818)(744,819)(745,820)(746,821)(747,822)(748,823)(749,824)(750,825)(751,796)(752,797)(753,798)(754,799)(755,800)(756,801)(757,802)(758,803)(759,804)(760,805)(761,806)(762,807)(763,808)(764,809)(765,810)(766,781)(767,782)(768,783)(769,784)(770,785)(771,786)(772,787)(773,788)(774,789)(775,790)(776,791)(777,792)(778,793)(779,794)(780,795)(841,946)(842,947)(843,948)(844,949)(845,950)(846,951)(847,952)(848,953)(849,954)(850,955)(851,956)(852,957)(853,958)(854,959)(855,960)(856,931)(857,932)(858,933)(859,934)(860,935)(861,936)(862,937)(863,938)(864,939)(865,940)(866,941)(867,942)(868,943)(869,944)(870,945)(871,916)(872,917)(873,918)(874,919)(875,920)(876,921)(877,922)(878,923)(879,924)(880,925)(881,926)(882,927)(883,928)(884,929)(885,930)(886,901)(887,902)(888,903)(889,904)(890,905)(891,906)(892,907)(893,908)(894,909)(895,910)(896,911)(897,912)(898,913)(899,914)(900,915);
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)( 31,646)( 32,650)( 33,649)( 34,648)( 35,647)( 36,656)( 37,660)( 38,659)( 39,658)( 40,657)( 41,651)( 42,655)( 43,654)( 44,653)( 45,652)( 46,631)( 47,635)( 48,634)( 49,633)( 50,632)( 51,641)( 52,645)( 53,644)( 54,643)( 55,642)( 56,636)( 57,640)( 58,639)( 59,638)( 60,637)( 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)( 91,691)( 92,695)( 93,694)( 94,693)( 95,692)( 96,701)( 97,705)( 98,704)( 99,703)(100,702)(101,696)(102,700)(103,699)(104,698)(105,697)(106,706)(107,710)(108,709)(109,708)(110,707)(111,716)(112,720)(113,719)(114,718)(115,717)(116,711)(117,715)(118,714)(119,713)(120,712)(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)(151,526)(152,530)(153,529)(154,528)(155,527)(156,536)(157,540)(158,539)(159,538)(160,537)(161,531)(162,535)(163,534)(164,533)(165,532)(166,511)(167,515)(168,514)(169,513)(170,512)(171,521)(172,525)(173,524)(174,523)(175,522)(176,516)(177,520)(178,519)(179,518)(180,517)(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)(211,571)(212,575)(213,574)(214,573)(215,572)(216,581)(217,585)(218,584)(219,583)(220,582)(221,576)(222,580)(223,579)(224,578)(225,577)(226,586)(227,590)(228,589)(229,588)(230,587)(231,596)(232,600)(233,599)(234,598)(235,597)(236,591)(237,595)(238,594)(239,593)(240,592)(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)(271,886)(272,890)(273,889)(274,888)(275,887)(276,896)(277,900)(278,899)(279,898)(280,897)(281,891)(282,895)(283,894)(284,893)(285,892)(286,871)(287,875)(288,874)(289,873)(290,872)(291,881)(292,885)(293,884)(294,883)(295,882)(296,876)(297,880)(298,879)(299,878)(300,877)(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)(331,931)(332,935)(333,934)(334,933)(335,932)(336,941)(337,945)(338,944)(339,943)(340,942)(341,936)(342,940)(343,939)(344,938)(345,937)(346,946)(347,950)(348,949)(349,948)(350,947)(351,956)(352,960)(353,959)(354,958)(355,957)(356,951)(357,955)(358,954)(359,953)(360,952)(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)(391,766)(392,770)(393,769)(394,768)(395,767)(396,776)(397,780)(398,779)(399,778)(400,777)(401,771)(402,775)(403,774)(404,773)(405,772)(406,751)(407,755)(408,754)(409,753)(410,752)(411,761)(412,765)(413,764)(414,763)(415,762)(416,756)(417,760)(418,759)(419,758)(420,757)(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)(451,811)(452,815)(453,814)(454,813)(455,812)(456,821)(457,825)(458,824)(459,823)(460,822)(461,816)(462,820)(463,819)(464,818)(465,817)(466,826)(467,830)(468,829)(469,828)(470,827)(471,836)(472,840)(473,839)
(474,838)(475,837)(476,831)(477,835)(478,834)(479,833)(480,832);
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, s1*s2*s3*s2*s1*s2*s3*s2,
s2*s0*s1*s2*s1*s2*s0*s1*s2*s1, s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*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