Polytope of Type {4,28,8}

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

F := FreeGroup("s0","s1","s2","s3");;
s0 := F.1;;  s1 := F.2;;  s2 := F.3;;  s3 := F.4;;  
rels := [ s0*s0, s1*s1, s2*s2, s3*s3, s0*s2*s0*s2, 
s0*s3*s0*s3, s1*s3*s1*s3, s0*s1*s0*s1*s0*s1*s0*s1, 
s0*s1*s2*s1*s0*s1*s2*s1, s3*s1*s2*s3*s2*s3*s1*s2*s3*s2, 
s1*s2*s1*s2*s1*s2*s3*s2*s1*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*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;;

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

poly<s0,s1,s2,s3> := Group< s0,s1,s2,s3 | s0*s0, s1*s1, s2*s2, 
s3*s3, s0*s2*s0*s2, s0*s3*s0*s3, s1*s3*s1*s3, 
s0*s1*s0*s1*s0*s1*s0*s1, s0*s1*s2*s1*s0*s1*s2*s1, 
s3*s1*s2*s3*s2*s3*s1*s2*s3*s2, s1*s2*s1*s2*s1*s2*s3*s2*s1*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*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 >;