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Polytope of Type {10,24,4}

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