Part of the Atlas of Small Regular Polytopes

Polytope of Type {4,15,4}

Atlas Canonical Name {4,15,4}*1920c

Overview

Group
SmallGroup(1920,240412)
Rank
4
Schläfli Type
{4,15,4}
Vertices, edges, …
8, 120, 120, 8
Order of s0s1s2s3
30
Order of s0s1s2s3s2s1
2
Also known as
if this polytope has a name.

Special Properties

  • Orientable
  • Flat
  • Self-Dual

Quotients maximal quotients in bold

2-fold

4-fold

5-fold

8-fold

10-fold

16-fold

20-fold

40-fold

48-fold

80-fold

Covers minimal covers in bold

None in this atlas.

Irregular Quotients of which this is a minimal cover

Click an entry to reveal its facets and vertex figures.

P/N, where N=<(s1*s2*s3*s2)^2> of order 2

4 facets

8 vertex figures

P/N, where N=<(s0*s1)^2> of order 2

8 facets

4 vertex figures

P/N, where N=<(s1*s0*s1*s2)^2, (s1*s2*s3*s2)^2> of order 4

4 facets

4 vertex figures

P/N, where N=<(s0*s1)^2, (s1*s2*s3*s2)^2> of order 4

4 facets

4 vertex figures

Representations

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