Polytope of Type {18,4,8}

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

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