Polytope of Type {150,4}

Play with this polytope as a twisty puzzle

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

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

Twisty Puzzle