Polytope of Type {36,6,3}

s0 := (  2,  3)(  4,  9)(  5,  8)(  6,  7)( 11, 12)( 13, 18)( 14, 17)( 15, 16)( 20, 21)( 22, 27)( 23, 26)( 24, 25)( 29, 30)( 31, 36)( 32, 35)( 33, 34)( 38, 39)( 40, 45)( 41, 44)( 42, 43)( 47, 48)( 49, 54)( 50, 53)( 51, 52)( 56, 57)( 58, 63)( 59, 62)( 60, 61)( 65, 66)( 67, 72)( 68, 71)( 69, 70)( 74, 75)( 76, 81)( 77, 80)( 78, 79)( 83, 84)( 85, 90)( 86, 89)( 87, 88)( 92, 93)( 94, 99)( 95, 98)( 96, 97)(101,102)(103,108)(104,107)(105,106)(110,111)(112,117)(113,116)(114,115)(119,120)(121,126)(122,125)(123,124)(128,129)(130,135)(131,134)(132,133)(137,138)(139,144)(140,143)(141,142)(146,147)(148,153)(149,152)(150,151)(155,156)(157,162)(158,161)(159,160)(163,244)(164,246)(165,245)(166,252)(167,251)(168,250)(169,249)(170,248)(171,247)(172,253)(173,255)(174,254)(175,261)(176,260)(177,259)(178,258)(179,257)(180,256)(181,262)(182,264)(183,263)(184,270)(185,269)(186,268)(187,267)(188,266)(189,265)(190,271)(191,273)(192,272)(193,279)(194,278)(195,277)(196,276)(197,275)(198,274)(199,280)(200,282)(201,281)(202,288)(203,287)(204,286)(205,285)(206,284)(207,283)(208,289)(209,291)(210,290)(211,297)(212,296)(213,295)(214,294)(215,293)(216,292)(217,298)(218,300)(219,299)(220,306)(221,305)(222,304)(223,303)(224,302)(225,301)(226,307)(227,309)(228,308)(229,315)(230,314)(231,313)(232,312)(233,311)(234,310)(235,316)(236,318)(237,317)(238,324)(239,323)(240,322)(241,321)(242,320)(243,319)(325,406)(326,408)(327,407)(328,414)(329,413)(330,412)(331,411)(332,410)(333,409)(334,415)(335,417)(336,416)(337,423)(338,422)(339,421)(340,420)(341,419)(342,418)(343,424)(344,426)(345,425)(346,432)(347,431)(348,430)(349,429)(350,428)(351,427)(352,433)(353,435)(354,434)(355,441)(356,440)(357,439)(358,438)(359,437)(360,436)(361,442)(362,444)(363,443)(364,450)(365,449)(366,448)(367,447)(368,446)(369,445)(370,451)(371,453)(372,452)(373,459)(374,458)(375,457)(376,456)(377,455)(378,454)(379,460)(380,462)(381,461)(382,468)(383,467)(384,466)(385,465)(386,464)(387,463)(388,469)(389,471)(390,470)(391,477)(392,476)(393,475)(394,474)(395,473)(396,472)(397,478)(398,480)(399,479)(400,486)(401,485)(402,484)(403,483)(404,482)(405,481)(488,489)(490,495)(491,494)(492,493)(497,498)(499,504)(500,503)(501,502)(506,507)(508,513)(509,512)(510,511)(515,516)(517,522)(518,521)(519,520)(524,525)(526,531)(527,530)(528,529)(533,534)(535,540)(536,539)(537,538)(542,543)(544,549)(545,548)(546,547)(551,552)(553,558)(554,557)(555,556)(560,561)(562,567)(563,566)(564,565)(569,570)(571,576)(572,575)(573,574)(578,579)(580,585)(581,584)(582,583)(587,588)(589,594)(590,593)(591,592)(596,597)(598,603)(599,602)(600,601)(605,606)(607,612)(608,611)(609,610)(614,615)(616,621)(617,620)(618,619)(623,624)(625,630)(626,629)(627,628)(632,633)(634,639)(635,638)(636,637)(641,642)(643,648)(644,647)(645,646);;
s1 := (  1,328)(  2,330)(  3,329)(  4,325)(  5,327)(  6,326)(  7,333)(  8,332)(  9,331)( 10,337)( 11,339)( 12,338)( 13,334)( 14,336)( 15,335)( 16,342)( 17,341)( 18,340)( 19,346)( 20,348)( 21,347)( 22,343)( 23,345)( 24,344)( 25,351)( 26,350)( 27,349)( 28,382)( 29,384)( 30,383)( 31,379)( 32,381)( 33,380)( 34,387)( 35,386)( 36,385)( 37,391)( 38,393)( 39,392)( 40,388)( 41,390)( 42,389)( 43,396)( 44,395)( 45,394)( 46,400)( 47,402)( 48,401)( 49,397)( 50,399)( 51,398)( 52,405)( 53,404)( 54,403)( 55,355)( 56,357)( 57,356)( 58,352)( 59,354)( 60,353)( 61,360)( 62,359)( 63,358)( 64,364)( 65,366)( 66,365)( 67,361)( 68,363)( 69,362)( 70,369)( 71,368)( 72,367)( 73,373)( 74,375)( 75,374)( 76,370)( 77,372)( 78,371)( 79,378)( 80,377)( 81,376)( 82,409)( 83,411)( 84,410)( 85,406)( 86,408)( 87,407)( 88,414)( 89,413)( 90,412)( 91,418)( 92,420)( 93,419)( 94,415)( 95,417)( 96,416)( 97,423)( 98,422)( 99,421)(100,427)(101,429)(102,428)(103,424)(104,426)(105,425)(106,432)(107,431)(108,430)(109,463)(110,465)(111,464)(112,460)(113,462)(114,461)(115,468)(116,467)(117,466)(118,472)(119,474)(120,473)(121,469)(122,471)(123,470)(124,477)(125,476)(126,475)(127,481)(128,483)(129,482)(130,478)(131,480)(132,479)(133,486)(134,485)(135,484)(136,436)(137,438)(138,437)(139,433)(140,435)(141,434)(142,441)(143,440)(144,439)(145,445)(146,447)(147,446)(148,442)(149,444)(150,443)(151,450)(152,449)(153,448)(154,454)(155,456)(156,455)(157,451)(158,453)(159,452)(160,459)(161,458)(162,457)(163,571)(164,573)(165,572)(166,568)(167,570)(168,569)(169,576)(170,575)(171,574)(172,580)(173,582)(174,581)(175,577)(176,579)(177,578)(178,585)(179,584)(180,583)(181,589)(182,591)(183,590)(184,586)(185,588)(186,587)(187,594)(188,593)(189,592)(190,625)(191,627)(192,626)(193,622)(194,624)(195,623)(196,630)(197,629)(198,628)(199,634)(200,636)(201,635)(202,631)(203,633)(204,632)(205,639)(206,638)(207,637)(208,643)(209,645)(210,644)(211,640)(212,642)(213,641)(214,648)(215,647)(216,646)(217,598)(218,600)(219,599)(220,595)(221,597)(222,596)(223,603)(224,602)(225,601)(226,607)(227,609)(228,608)(229,604)(230,606)(231,605)(232,612)(233,611)(234,610)(235,616)(236,618)(237,617)(238,613)(239,615)(240,614)(241,621)(242,620)(243,619)(244,490)(245,492)(246,491)(247,487)(248,489)(249,488)(250,495)(251,494)(252,493)(253,499)(254,501)(255,500)(256,496)(257,498)(258,497)(259,504)(260,503)(261,502)(262,508)(263,510)(264,509)(265,505)(266,507)(267,506)(268,513)(269,512)(270,511)(271,544)(272,546)(273,545)(274,541)(275,543)(276,542)(277,549)(278,548)(279,547)(280,553)(281,555)(282,554)(283,550)(284,552)(285,551)(286,558)(287,557)(288,556)(289,562)(290,564)(291,563)(292,559)(293,561)(294,560)(295,567)(296,566)(297,565)(298,517)(299,519)(300,518)(301,514)(302,516)(303,515)(304,522)(305,521)(306,520)(307,526)(308,528)(309,527)(310,523)(311,525)(312,524)(313,531)(314,530)(315,529)(316,535)(317,537)(318,536)(319,532)(320,534)(321,533)(322,540)(323,539)(324,538);;
s2 := (  1,514)(  2,515)(  3,516)(  4,517)(  5,518)(  6,519)(  7,520)(  8,521)(  9,522)( 10,532)( 11,533)( 12,534)( 13,535)( 14,536)( 15,537)( 16,538)( 17,539)( 18,540)( 19,523)( 20,524)( 21,525)( 22,526)( 23,527)( 24,528)( 25,529)( 26,530)( 27,531)( 28,487)( 29,488)( 30,489)( 31,490)( 32,491)( 33,492)( 34,493)( 35,494)( 36,495)( 37,505)( 38,506)( 39,507)( 40,508)( 41,509)( 42,510)( 43,511)( 44,512)( 45,513)( 46,496)( 47,497)( 48,498)( 49,499)( 50,500)( 51,501)( 52,502)( 53,503)( 54,504)( 55,541)( 56,542)( 57,543)( 58,544)( 59,545)( 60,546)( 61,547)( 62,548)( 63,549)( 64,559)( 65,560)( 66,561)( 67,562)( 68,563)( 69,564)( 70,565)( 71,566)( 72,567)( 73,550)( 74,551)( 75,552)( 76,553)( 77,554)( 78,555)( 79,556)( 80,557)( 81,558)( 82,595)( 83,596)( 84,597)( 85,598)( 86,599)( 87,600)( 88,601)( 89,602)( 90,603)( 91,613)( 92,614)( 93,615)( 94,616)( 95,617)( 96,618)( 97,619)( 98,620)( 99,621)(100,604)(101,605)(102,606)(103,607)(104,608)(105,609)(106,610)(107,611)(108,612)(109,568)(110,569)(111,570)(112,571)(113,572)(114,573)(115,574)(116,575)(117,576)(118,586)(119,587)(120,588)(121,589)(122,590)(123,591)(124,592)(125,593)(126,594)(127,577)(128,578)(129,579)(130,580)(131,581)(132,582)(133,583)(134,584)(135,585)(136,622)(137,623)(138,624)(139,625)(140,626)(141,627)(142,628)(143,629)(144,630)(145,640)(146,641)(147,642)(148,643)(149,644)(150,645)(151,646)(152,647)(153,648)(154,631)(155,632)(156,633)(157,634)(158,635)(159,636)(160,637)(161,638)(162,639)(163,433)(164,434)(165,435)(166,436)(167,437)(168,438)(169,439)(170,440)(171,441)(172,451)(173,452)(174,453)(175,454)(176,455)(177,456)(178,457)(179,458)(180,459)(181,442)(182,443)(183,444)(184,445)(185,446)(186,447)(187,448)(188,449)(189,450)(190,406)(191,407)(192,408)(193,409)(194,410)(195,411)(196,412)(197,413)(198,414)(199,424)(200,425)(201,426)(202,427)(203,428)(204,429)(205,430)(206,431)(207,432)(208,415)(209,416)(210,417)(211,418)(212,419)(213,420)(214,421)(215,422)(216,423)(217,460)(218,461)(219,462)(220,463)(221,464)(222,465)(223,466)(224,467)(225,468)(226,478)(227,479)(228,480)(229,481)(230,482)(231,483)(232,484)(233,485)(234,486)(235,469)(236,470)(237,471)(238,472)(239,473)(240,474)(241,475)(242,476)(243,477)(244,352)(245,353)(246,354)(247,355)(248,356)(249,357)(250,358)(251,359)(252,360)(253,370)(254,371)(255,372)(256,373)(257,374)(258,375)(259,376)(260,377)(261,378)(262,361)(263,362)(264,363)(265,364)(266,365)(267,366)(268,367)(269,368)(270,369)(271,325)(272,326)(273,327)(274,328)(275,329)(276,330)(277,331)(278,332)(279,333)(280,343)(281,344)(282,345)(283,346)(284,347)(285,348)(286,349)(287,350)(288,351)(289,334)(290,335)(291,336)(292,337)(293,338)(294,339)(295,340)(296,341)(297,342)(298,379)(299,380)(300,381)(301,382)(302,383)(303,384)(304,385)(305,386)(306,387)(307,397)(308,398)(309,399)(310,400)(311,401)(312,402)(313,403)(314,404)(315,405)(316,388)(317,389)(318,390)(319,391)(320,392)(321,393)(322,394)(323,395)(324,396);;
s3 := (  1,496)(  2,497)(  3,498)(  4,499)(  5,500)(  6,501)(  7,502)(  8,503)(  9,504)( 10,487)( 11,488)( 12,489)( 13,490)( 14,491)( 15,492)( 16,493)( 17,494)( 18,495)( 19,505)( 20,506)( 21,507)( 22,508)( 23,509)( 24,510)( 25,511)( 26,512)( 27,513)( 28,550)( 29,551)( 30,552)( 31,553)( 32,554)( 33,555)( 34,556)( 35,557)( 36,558)( 37,541)( 38,542)( 39,543)( 40,544)( 41,545)( 42,546)( 43,547)( 44,548)( 45,549)( 46,559)( 47,560)( 48,561)( 49,562)( 50,563)( 51,564)( 52,565)( 53,566)( 54,567)( 55,523)( 56,524)( 57,525)( 58,526)( 59,527)( 60,528)( 61,529)( 62,530)( 63,531)( 64,514)( 65,515)( 66,516)( 67,517)( 68,518)( 69,519)( 70,520)( 71,521)( 72,522)( 73,532)( 74,533)( 75,534)( 76,535)( 77,536)( 78,537)( 79,538)( 80,539)( 81,540)( 82,577)( 83,578)( 84,579)( 85,580)( 86,581)( 87,582)( 88,583)( 89,584)( 90,585)( 91,568)( 92,569)( 93,570)( 94,571)( 95,572)( 96,573)( 97,574)( 98,575)( 99,576)(100,586)(101,587)(102,588)(103,589)(104,590)(105,591)(106,592)(107,593)(108,594)(109,631)(110,632)(111,633)(112,634)(113,635)(114,636)(115,637)(116,638)(117,639)(118,622)(119,623)(120,624)(121,625)(122,626)(123,627)(124,628)(125,629)(126,630)(127,640)(128,641)(129,642)(130,643)(131,644)(132,645)(133,646)(134,647)(135,648)(136,604)(137,605)(138,606)(139,607)(140,608)(141,609)(142,610)(143,611)(144,612)(145,595)(146,596)(147,597)(148,598)(149,599)(150,600)(151,601)(152,602)(153,603)(154,613)(155,614)(156,615)(157,616)(158,617)(159,618)(160,619)(161,620)(162,621)(163,415)(164,416)(165,417)(166,418)(167,419)(168,420)(169,421)(170,422)(171,423)(172,406)(173,407)(174,408)(175,409)(176,410)(177,411)(178,412)(179,413)(180,414)(181,424)(182,425)(183,426)(184,427)(185,428)(186,429)(187,430)(188,431)(189,432)(190,469)(191,470)(192,471)(193,472)(194,473)(195,474)(196,475)(197,476)(198,477)(199,460)(200,461)(201,462)(202,463)(203,464)(204,465)(205,466)(206,467)(207,468)(208,478)(209,479)(210,480)(211,481)(212,482)(213,483)(214,484)(215,485)(216,486)(217,442)(218,443)(219,444)(220,445)(221,446)(222,447)(223,448)(224,449)(225,450)(226,433)(227,434)(228,435)(229,436)(230,437)(231,438)(232,439)(233,440)(234,441)(235,451)(236,452)(237,453)(238,454)(239,455)(240,456)(241,457)(242,458)(243,459)(244,334)(245,335)(246,336)(247,337)(248,338)(249,339)(250,340)(251,341)(252,342)(253,325)(254,326)(255,327)(256,328)(257,329)(258,330)(259,331)(260,332)(261,333)(262,343)(263,344)(264,345)(265,346)(266,347)(267,348)(268,349)(269,350)(270,351)(271,388)(272,389)(273,390)(274,391)(275,392)(276,393)(277,394)(278,395)(279,396)(280,379)(281,380)(282,381)(283,382)(284,383)(285,384)(286,385)(287,386)(288,387)(289,397)(290,398)(291,399)(292,400)(293,401)(294,402)(295,403)(296,404)(297,405)(298,361)(299,362)(300,363)(301,364)(302,365)(303,366)(304,367)(305,368)(306,369)(307,352)(308,353)(309,354)(310,355)(311,356)(312,357)(313,358)(314,359)(315,360)(316,370)(317,371)(318,372)(319,373)(320,374)(321,375)(322,376)(323,377)(324,378);;
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, s2*s3*s2*s3*s2*s3, 
s0*s1*s2*s1*s0*s1*s2*s1, s1*s2*s3*s1*s2*s1*s2*s3*s1*s2, 
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(648)!(  2,  3)(  4,  9)(  5,  8)(  6,  7)( 11, 12)( 13, 18)( 14, 17)( 15, 16)( 20, 21)( 22, 27)( 23, 26)( 24, 25)( 29, 30)( 31, 36)( 32, 35)( 33, 34)( 38, 39)( 40, 45)( 41, 44)( 42, 43)( 47, 48)( 49, 54)( 50, 53)( 51, 52)( 56, 57)( 58, 63)( 59, 62)( 60, 61)( 65, 66)( 67, 72)( 68, 71)( 69, 70)( 74, 75)( 76, 81)( 77, 80)( 78, 79)( 83, 84)( 85, 90)( 86, 89)( 87, 88)( 92, 93)( 94, 99)( 95, 98)( 96, 97)(101,102)(103,108)(104,107)(105,106)(110,111)(112,117)(113,116)(114,115)(119,120)(121,126)(122,125)(123,124)(128,129)(130,135)(131,134)(132,133)(137,138)(139,144)(140,143)(141,142)(146,147)(148,153)(149,152)(150,151)(155,156)(157,162)(158,161)(159,160)(163,244)(164,246)(165,245)(166,252)(167,251)(168,250)(169,249)(170,248)(171,247)(172,253)(173,255)(174,254)(175,261)(176,260)(177,259)(178,258)(179,257)(180,256)(181,262)(182,264)(183,263)(184,270)(185,269)(186,268)(187,267)(188,266)(189,265)(190,271)(191,273)(192,272)(193,279)(194,278)(195,277)(196,276)(197,275)(198,274)(199,280)(200,282)(201,281)(202,288)(203,287)(204,286)(205,285)(206,284)(207,283)(208,289)(209,291)(210,290)(211,297)(212,296)(213,295)(214,294)(215,293)(216,292)(217,298)(218,300)(219,299)(220,306)(221,305)(222,304)(223,303)(224,302)(225,301)(226,307)(227,309)(228,308)(229,315)(230,314)(231,313)(232,312)(233,311)(234,310)(235,316)(236,318)(237,317)(238,324)(239,323)(240,322)(241,321)(242,320)(243,319)(325,406)(326,408)(327,407)(328,414)(329,413)(330,412)(331,411)(332,410)(333,409)(334,415)(335,417)(336,416)(337,423)(338,422)(339,421)(340,420)(341,419)(342,418)(343,424)(344,426)(345,425)(346,432)(347,431)(348,430)(349,429)(350,428)(351,427)(352,433)(353,435)(354,434)(355,441)(356,440)(357,439)(358,438)(359,437)(360,436)(361,442)(362,444)(363,443)(364,450)(365,449)(366,448)(367,447)(368,446)(369,445)(370,451)(371,453)(372,452)(373,459)(374,458)(375,457)(376,456)(377,455)(378,454)(379,460)(380,462)(381,461)(382,468)(383,467)(384,466)(385,465)(386,464)(387,463)(388,469)(389,471)(390,470)(391,477)(392,476)(393,475)(394,474)(395,473)(396,472)(397,478)(398,480)(399,479)(400,486)(401,485)(402,484)(403,483)(404,482)(405,481)(488,489)(490,495)(491,494)(492,493)(497,498)(499,504)(500,503)(501,502)(506,507)(508,513)(509,512)(510,511)(515,516)(517,522)(518,521)(519,520)(524,525)(526,531)(527,530)(528,529)(533,534)(535,540)(536,539)(537,538)(542,543)(544,549)(545,548)(546,547)(551,552)(553,558)(554,557)(555,556)(560,561)(562,567)(563,566)(564,565)(569,570)(571,576)(572,575)(573,574)(578,579)(580,585)(581,584)(582,583)(587,588)(589,594)(590,593)(591,592)(596,597)(598,603)(599,602)(600,601)(605,606)(607,612)(608,611)(609,610)(614,615)(616,621)(617,620)(618,619)(623,624)(625,630)(626,629)(627,628)(632,633)(634,639)(635,638)(636,637)(641,642)(643,648)(644,647)(645,646);
s1 := Sym(648)!(  1,328)(  2,330)(  3,329)(  4,325)(  5,327)(  6,326)(  7,333)(  8,332)(  9,331)( 10,337)( 11,339)( 12,338)( 13,334)( 14,336)( 15,335)( 16,342)( 17,341)( 18,340)( 19,346)( 20,348)( 21,347)( 22,343)( 23,345)( 24,344)( 25,351)( 26,350)( 27,349)( 28,382)( 29,384)( 30,383)( 31,379)( 32,381)( 33,380)( 34,387)( 35,386)( 36,385)( 37,391)( 38,393)( 39,392)( 40,388)( 41,390)( 42,389)( 43,396)( 44,395)( 45,394)( 46,400)( 47,402)( 48,401)( 49,397)( 50,399)( 51,398)( 52,405)( 53,404)( 54,403)( 55,355)( 56,357)( 57,356)( 58,352)( 59,354)( 60,353)( 61,360)( 62,359)( 63,358)( 64,364)( 65,366)( 66,365)( 67,361)( 68,363)( 69,362)( 70,369)( 71,368)( 72,367)( 73,373)( 74,375)( 75,374)( 76,370)( 77,372)( 78,371)( 79,378)( 80,377)( 81,376)( 82,409)( 83,411)( 84,410)( 85,406)( 86,408)( 87,407)( 88,414)( 89,413)( 90,412)( 91,418)( 92,420)( 93,419)( 94,415)( 95,417)( 96,416)( 97,423)( 98,422)( 99,421)(100,427)(101,429)(102,428)(103,424)(104,426)(105,425)(106,432)(107,431)(108,430)(109,463)(110,465)(111,464)(112,460)(113,462)(114,461)(115,468)(116,467)(117,466)(118,472)(119,474)(120,473)(121,469)(122,471)(123,470)(124,477)(125,476)(126,475)(127,481)(128,483)(129,482)(130,478)(131,480)(132,479)(133,486)(134,485)(135,484)(136,436)(137,438)(138,437)(139,433)(140,435)(141,434)(142,441)(143,440)(144,439)(145,445)(146,447)(147,446)(148,442)(149,444)(150,443)(151,450)(152,449)(153,448)(154,454)(155,456)(156,455)(157,451)(158,453)(159,452)(160,459)(161,458)(162,457)(163,571)(164,573)(165,572)(166,568)(167,570)(168,569)(169,576)(170,575)(171,574)(172,580)(173,582)(174,581)(175,577)(176,579)(177,578)(178,585)(179,584)(180,583)(181,589)(182,591)(183,590)(184,586)(185,588)(186,587)(187,594)(188,593)(189,592)(190,625)(191,627)(192,626)(193,622)(194,624)(195,623)(196,630)(197,629)(198,628)(199,634)(200,636)(201,635)(202,631)(203,633)(204,632)(205,639)(206,638)(207,637)(208,643)(209,645)(210,644)(211,640)(212,642)(213,641)(214,648)(215,647)(216,646)(217,598)(218,600)(219,599)(220,595)(221,597)(222,596)(223,603)(224,602)(225,601)(226,607)(227,609)(228,608)(229,604)(230,606)(231,605)(232,612)(233,611)(234,610)(235,616)(236,618)(237,617)(238,613)(239,615)(240,614)(241,621)(242,620)(243,619)(244,490)(245,492)(246,491)(247,487)(248,489)(249,488)(250,495)(251,494)(252,493)(253,499)(254,501)(255,500)(256,496)(257,498)(258,497)(259,504)(260,503)(261,502)(262,508)(263,510)(264,509)(265,505)(266,507)(267,506)(268,513)(269,512)(270,511)(271,544)(272,546)(273,545)(274,541)(275,543)(276,542)(277,549)(278,548)(279,547)(280,553)(281,555)(282,554)(283,550)(284,552)(285,551)(286,558)(287,557)(288,556)(289,562)(290,564)(291,563)(292,559)(293,561)(294,560)(295,567)(296,566)(297,565)(298,517)(299,519)(300,518)(301,514)(302,516)(303,515)(304,522)(305,521)(306,520)(307,526)(308,528)(309,527)(310,523)(311,525)(312,524)(313,531)(314,530)(315,529)(316,535)(317,537)(318,536)(319,532)(320,534)(321,533)(322,540)(323,539)(324,538);
s2 := Sym(648)!(  1,514)(  2,515)(  3,516)(  4,517)(  5,518)(  6,519)(  7,520)(  8,521)(  9,522)( 10,532)( 11,533)( 12,534)( 13,535)( 14,536)( 15,537)( 16,538)( 17,539)( 18,540)( 19,523)( 20,524)( 21,525)( 22,526)( 23,527)( 24,528)( 25,529)( 26,530)( 27,531)( 28,487)( 29,488)( 30,489)( 31,490)( 32,491)( 33,492)( 34,493)( 35,494)( 36,495)( 37,505)( 38,506)( 39,507)( 40,508)( 41,509)( 42,510)( 43,511)( 44,512)( 45,513)( 46,496)( 47,497)( 48,498)( 49,499)( 50,500)( 51,501)( 52,502)( 53,503)( 54,504)( 55,541)( 56,542)( 57,543)( 58,544)( 59,545)( 60,546)( 61,547)( 62,548)( 63,549)( 64,559)( 65,560)( 66,561)( 67,562)( 68,563)( 69,564)( 70,565)( 71,566)( 72,567)( 73,550)( 74,551)( 75,552)( 76,553)( 77,554)( 78,555)( 79,556)( 80,557)( 81,558)( 82,595)( 83,596)( 84,597)( 85,598)( 86,599)( 87,600)( 88,601)( 89,602)( 90,603)( 91,613)( 92,614)( 93,615)( 94,616)( 95,617)( 96,618)( 97,619)( 98,620)( 99,621)(100,604)(101,605)(102,606)(103,607)(104,608)(105,609)(106,610)(107,611)(108,612)(109,568)(110,569)(111,570)(112,571)(113,572)(114,573)(115,574)(116,575)(117,576)(118,586)(119,587)(120,588)(121,589)(122,590)(123,591)(124,592)(125,593)(126,594)(127,577)(128,578)(129,579)(130,580)(131,581)(132,582)(133,583)(134,584)(135,585)(136,622)(137,623)(138,624)(139,625)(140,626)(141,627)(142,628)(143,629)(144,630)(145,640)(146,641)(147,642)(148,643)(149,644)(150,645)(151,646)(152,647)(153,648)(154,631)(155,632)(156,633)(157,634)(158,635)(159,636)(160,637)(161,638)(162,639)(163,433)(164,434)(165,435)(166,436)(167,437)(168,438)(169,439)(170,440)(171,441)(172,451)(173,452)(174,453)(175,454)(176,455)(177,456)(178,457)(179,458)(180,459)(181,442)(182,443)(183,444)(184,445)(185,446)(186,447)(187,448)(188,449)(189,450)(190,406)(191,407)(192,408)(193,409)(194,410)(195,411)(196,412)(197,413)(198,414)(199,424)(200,425)(201,426)(202,427)(203,428)(204,429)(205,430)(206,431)(207,432)(208,415)(209,416)(210,417)(211,418)(212,419)(213,420)(214,421)(215,422)(216,423)(217,460)(218,461)(219,462)(220,463)(221,464)(222,465)(223,466)(224,467)(225,468)(226,478)(227,479)(228,480)(229,481)(230,482)(231,483)(232,484)(233,485)(234,486)(235,469)(236,470)(237,471)(238,472)(239,473)(240,474)(241,475)(242,476)(243,477)(244,352)(245,353)(246,354)(247,355)(248,356)(249,357)(250,358)(251,359)(252,360)(253,370)(254,371)(255,372)(256,373)(257,374)(258,375)(259,376)(260,377)(261,378)(262,361)(263,362)(264,363)(265,364)(266,365)(267,366)(268,367)(269,368)(270,369)(271,325)(272,326)(273,327)(274,328)(275,329)(276,330)(277,331)(278,332)(279,333)(280,343)(281,344)(282,345)(283,346)(284,347)(285,348)(286,349)(287,350)(288,351)(289,334)(290,335)(291,336)(292,337)(293,338)(294,339)(295,340)(296,341)(297,342)(298,379)(299,380)(300,381)(301,382)(302,383)(303,384)(304,385)(305,386)(306,387)(307,397)(308,398)(309,399)(310,400)(311,401)(312,402)(313,403)(314,404)(315,405)(316,388)(317,389)(318,390)(319,391)(320,392)(321,393)(322,394)(323,395)(324,396);
s3 := Sym(648)!(  1,496)(  2,497)(  3,498)(  4,499)(  5,500)(  6,501)(  7,502)(  8,503)(  9,504)( 10,487)( 11,488)( 12,489)( 13,490)( 14,491)( 15,492)( 16,493)( 17,494)( 18,495)( 19,505)( 20,506)( 21,507)( 22,508)( 23,509)( 24,510)( 25,511)( 26,512)( 27,513)( 28,550)( 29,551)( 30,552)( 31,553)( 32,554)( 33,555)( 34,556)( 35,557)( 36,558)( 37,541)( 38,542)( 39,543)( 40,544)( 41,545)( 42,546)( 43,547)( 44,548)( 45,549)( 46,559)( 47,560)( 48,561)( 49,562)( 50,563)( 51,564)( 52,565)( 53,566)( 54,567)( 55,523)( 56,524)( 57,525)( 58,526)( 59,527)( 60,528)( 61,529)( 62,530)( 63,531)( 64,514)( 65,515)( 66,516)( 67,517)( 68,518)( 69,519)( 70,520)( 71,521)( 72,522)( 73,532)( 74,533)( 75,534)( 76,535)( 77,536)( 78,537)( 79,538)( 80,539)( 81,540)( 82,577)( 83,578)( 84,579)( 85,580)( 86,581)( 87,582)( 88,583)( 89,584)( 90,585)( 91,568)( 92,569)( 93,570)( 94,571)( 95,572)( 96,573)( 97,574)( 98,575)( 99,576)(100,586)(101,587)(102,588)(103,589)(104,590)(105,591)(106,592)(107,593)(108,594)(109,631)(110,632)(111,633)(112,634)(113,635)(114,636)(115,637)(116,638)(117,639)(118,622)(119,623)(120,624)(121,625)(122,626)(123,627)(124,628)(125,629)(126,630)(127,640)(128,641)(129,642)(130,643)(131,644)(132,645)(133,646)(134,647)(135,648)(136,604)(137,605)(138,606)(139,607)(140,608)(141,609)(142,610)(143,611)(144,612)(145,595)(146,596)(147,597)(148,598)(149,599)(150,600)(151,601)(152,602)(153,603)(154,613)(155,614)(156,615)(157,616)(158,617)(159,618)(160,619)(161,620)(162,621)(163,415)(164,416)(165,417)(166,418)(167,419)(168,420)(169,421)(170,422)(171,423)(172,406)(173,407)(174,408)(175,409)(176,410)(177,411)(178,412)(179,413)(180,414)(181,424)(182,425)(183,426)(184,427)(185,428)(186,429)(187,430)(188,431)(189,432)(190,469)(191,470)(192,471)(193,472)(194,473)(195,474)(196,475)(197,476)(198,477)(199,460)(200,461)(201,462)(202,463)(203,464)(204,465)(205,466)(206,467)(207,468)(208,478)(209,479)(210,480)(211,481)(212,482)(213,483)(214,484)(215,485)(216,486)(217,442)(218,443)(219,444)(220,445)(221,446)(222,447)(223,448)(224,449)(225,450)(226,433)(227,434)(228,435)(229,436)(230,437)(231,438)(232,439)(233,440)(234,441)(235,451)(236,452)(237,453)(238,454)(239,455)(240,456)(241,457)(242,458)(243,459)(244,334)(245,335)(246,336)(247,337)(248,338)(249,339)(250,340)(251,341)(252,342)(253,325)(254,326)(255,327)(256,328)(257,329)(258,330)(259,331)(260,332)(261,333)(262,343)(263,344)(264,345)(265,346)(266,347)(267,348)(268,349)(269,350)(270,351)(271,388)(272,389)(273,390)(274,391)(275,392)(276,393)(277,394)(278,395)(279,396)(280,379)(281,380)(282,381)(283,382)(284,383)(285,384)(286,385)(287,386)(288,387)(289,397)(290,398)(291,399)(292,400)(293,401)(294,402)(295,403)(296,404)(297,405)(298,361)(299,362)(300,363)(301,364)(302,365)(303,366)(304,367)(305,368)(306,369)(307,352)(308,353)(309,354)(310,355)(311,356)(312,357)(313,358)(314,359)(315,360)(316,370)(317,371)(318,372)(319,373)(320,374)(321,375)(322,376)(323,377)(324,378);
poly := sub<Sym(648)|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, 
s2*s3*s2*s3*s2*s3, s0*s1*s2*s1*s0*s1*s2*s1, 
s1*s2*s3*s1*s2*s1*s2*s3*s1*s2, 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 >;