Polytope of Type {60,4}

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

F := FreeGroup("s0","s1","s2");;
s0 := F.1;;  s1 := F.2;;  s2 := F.3;;  
rels := [ s0*s0, s1*s1, s2*s2, s0*s2*s0*s2, s1*s2*s1*s2*s1*s2*s1*s2, 
s0*s1*s2*s1*s0*s1*s2*s1*s0*s1*s2*s1*s0*s1*s2*s1, 
s0*s1*s0*s1*s0*s2*s1*s2*s1*s0*s1*s2*s0*s1*s2*s0*s1*s2*s1, 
s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1 ];;
poly := F / rels;;
 

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

poly<s0,s1,s2> := Group< s0,s1,s2 | s0*s0, s1*s1, s2*s2, 
s0*s2*s0*s2, s1*s2*s1*s2*s1*s2*s1*s2, 
s0*s1*s2*s1*s0*s1*s2*s1*s0*s1*s2*s1*s0*s1*s2*s1, 
s0*s1*s0*s1*s0*s2*s1*s2*s1*s0*s1*s2*s0*s1*s2*s0*s1*s2*s1, 
s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1 >;