Polytope of Type {26,30}

s0 := (  2, 13)(  3, 12)(  4, 11)(  5, 10)(  6,  9)(  7,  8)( 15, 26)( 16, 25)( 17, 24)( 18, 23)( 19, 22)( 20, 21)( 28, 39)( 29, 38)( 30, 37)( 31, 36)( 32, 35)( 33, 34)( 41, 52)( 42, 51)( 43, 50)( 44, 49)( 45, 48)( 46, 47)( 54, 65)( 55, 64)( 56, 63)( 57, 62)( 58, 61)( 59, 60)( 67, 78)( 68, 77)( 69, 76)( 70, 75)( 71, 74)( 72, 73)( 80, 91)( 81, 90)( 82, 89)( 83, 88)( 84, 87)( 85, 86)( 93,104)( 94,103)( 95,102)( 96,101)( 97,100)( 98, 99)(106,117)(107,116)(108,115)(109,114)(110,113)(111,112)(119,130)(120,129)(121,128)(122,127)(123,126)(124,125)(132,143)(133,142)(134,141)(135,140)(136,139)(137,138)(145,156)(146,155)(147,154)(148,153)(149,152)(150,151)(158,169)(159,168)(160,167)(161,166)(162,165)(163,164)(171,182)(172,181)(173,180)(174,179)(175,178)(176,177)(184,195)(185,194)(186,193)(187,192)(188,191)(189,190)(197,208)(198,207)(199,206)(200,205)(201,204)(202,203)(210,221)(211,220)(212,219)(213,218)(214,217)(215,216)(223,234)(224,233)(225,232)(226,231)(227,230)(228,229)(236,247)(237,246)(238,245)(239,244)(240,243)(241,242)(249,260)(250,259)(251,258)(252,257)(253,256)(254,255)(262,273)(263,272)(264,271)(265,270)(266,269)(267,268)(275,286)(276,285)(277,284)(278,283)(279,282)(280,281)(288,299)(289,298)(290,297)(291,296)(292,295)(293,294)(301,312)(302,311)(303,310)(304,309)(305,308)(306,307)(314,325)(315,324)(316,323)(317,322)(318,321)(319,320)(327,338)(328,337)(329,336)(330,335)(331,334)(332,333)(340,351)(341,350)(342,349)(343,348)(344,347)(345,346)(353,364)(354,363)(355,362)(356,361)(357,360)(358,359)(366,377)(367,376)(368,375)(369,374)(370,373)(371,372)(379,390)(380,389)(381,388)(382,387)(383,386)(384,385);;
s1 := (  1,  2)(  3, 13)(  4, 12)(  5, 11)(  6, 10)(  7,  9)( 14, 54)( 15, 53)( 16, 65)( 17, 64)( 18, 63)( 19, 62)( 20, 61)( 21, 60)( 22, 59)( 23, 58)( 24, 57)( 25, 56)( 26, 55)( 27, 41)( 28, 40)( 29, 52)( 30, 51)( 31, 50)( 32, 49)( 33, 48)( 34, 47)( 35, 46)( 36, 45)( 37, 44)( 38, 43)( 39, 42)( 66,132)( 67,131)( 68,143)( 69,142)( 70,141)( 71,140)( 72,139)( 73,138)( 74,137)( 75,136)( 76,135)( 77,134)( 78,133)( 79,184)( 80,183)( 81,195)( 82,194)( 83,193)( 84,192)( 85,191)( 86,190)( 87,189)( 88,188)( 89,187)( 90,186)( 91,185)( 92,171)( 93,170)( 94,182)( 95,181)( 96,180)( 97,179)( 98,178)( 99,177)(100,176)(101,175)(102,174)(103,173)(104,172)(105,158)(106,157)(107,169)(108,168)(109,167)(110,166)(111,165)(112,164)(113,163)(114,162)(115,161)(116,160)(117,159)(118,145)(119,144)(120,156)(121,155)(122,154)(123,153)(124,152)(125,151)(126,150)(127,149)(128,148)(129,147)(130,146)(196,197)(198,208)(199,207)(200,206)(201,205)(202,204)(209,249)(210,248)(211,260)(212,259)(213,258)(214,257)(215,256)(216,255)(217,254)(218,253)(219,252)(220,251)(221,250)(222,236)(223,235)(224,247)(225,246)(226,245)(227,244)(228,243)(229,242)(230,241)(231,240)(232,239)(233,238)(234,237)(261,327)(262,326)(263,338)(264,337)(265,336)(266,335)(267,334)(268,333)(269,332)(270,331)(271,330)(272,329)(273,328)(274,379)(275,378)(276,390)(277,389)(278,388)(279,387)(280,386)(281,385)(282,384)(283,383)(284,382)(285,381)(286,380)(287,366)(288,365)(289,377)(290,376)(291,375)(292,374)(293,373)(294,372)(295,371)(296,370)(297,369)(298,368)(299,367)(300,353)(301,352)(302,364)(303,363)(304,362)(305,361)(306,360)(307,359)(308,358)(309,357)(310,356)(311,355)(312,354)(313,340)(314,339)(315,351)(316,350)(317,349)(318,348)(319,347)(320,346)(321,345)(322,344)(323,343)(324,342)(325,341);;
s2 := (  1,274)(  2,275)(  3,276)(  4,277)(  5,278)(  6,279)(  7,280)(  8,281)(  9,282)( 10,283)( 11,284)( 12,285)( 13,286)( 14,261)( 15,262)( 16,263)( 17,264)( 18,265)( 19,266)( 20,267)( 21,268)( 22,269)( 23,270)( 24,271)( 25,272)( 26,273)( 27,313)( 28,314)( 29,315)( 30,316)( 31,317)( 32,318)( 33,319)( 34,320)( 35,321)( 36,322)( 37,323)( 38,324)( 39,325)( 40,300)( 41,301)( 42,302)( 43,303)( 44,304)( 45,305)( 46,306)( 47,307)( 48,308)( 49,309)( 50,310)( 51,311)( 52,312)( 53,287)( 54,288)( 55,289)( 56,290)( 57,291)( 58,292)( 59,293)( 60,294)( 61,295)( 62,296)( 63,297)( 64,298)( 65,299)( 66,209)( 67,210)( 68,211)( 69,212)( 70,213)( 71,214)( 72,215)( 73,216)( 74,217)( 75,218)( 76,219)( 77,220)( 78,221)( 79,196)( 80,197)( 81,198)( 82,199)( 83,200)( 84,201)( 85,202)( 86,203)( 87,204)( 88,205)( 89,206)( 90,207)( 91,208)( 92,248)( 93,249)( 94,250)( 95,251)( 96,252)( 97,253)( 98,254)( 99,255)(100,256)(101,257)(102,258)(103,259)(104,260)(105,235)(106,236)(107,237)(108,238)(109,239)(110,240)(111,241)(112,242)(113,243)(114,244)(115,245)(116,246)(117,247)(118,222)(119,223)(120,224)(121,225)(122,226)(123,227)(124,228)(125,229)(126,230)(127,231)(128,232)(129,233)(130,234)(131,339)(132,340)(133,341)(134,342)(135,343)(136,344)(137,345)(138,346)(139,347)(140,348)(141,349)(142,350)(143,351)(144,326)(145,327)(146,328)(147,329)(148,330)(149,331)(150,332)(151,333)(152,334)(153,335)(154,336)(155,337)(156,338)(157,378)(158,379)(159,380)(160,381)(161,382)(162,383)(163,384)(164,385)(165,386)(166,387)(167,388)(168,389)(169,390)(170,365)(171,366)(172,367)(173,368)(174,369)(175,370)(176,371)(177,372)(178,373)(179,374)(180,375)(181,376)(182,377)(183,352)(184,353)(185,354)(186,355)(187,356)(188,357)(189,358)(190,359)(191,360)(192,361)(193,362)(194,363)(195,364);;
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, s0*s1*s2*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*s1*s0*s1*s0*s1, 
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*s1*s2*s1*s2 ];;
poly := F / rels;;

s0 := Sym(390)!(  2, 13)(  3, 12)(  4, 11)(  5, 10)(  6,  9)(  7,  8)( 15, 26)( 16, 25)( 17, 24)( 18, 23)( 19, 22)( 20, 21)( 28, 39)( 29, 38)( 30, 37)( 31, 36)( 32, 35)( 33, 34)( 41, 52)( 42, 51)( 43, 50)( 44, 49)( 45, 48)( 46, 47)( 54, 65)( 55, 64)( 56, 63)( 57, 62)( 58, 61)( 59, 60)( 67, 78)( 68, 77)( 69, 76)( 70, 75)( 71, 74)( 72, 73)( 80, 91)( 81, 90)( 82, 89)( 83, 88)( 84, 87)( 85, 86)( 93,104)( 94,103)( 95,102)( 96,101)( 97,100)( 98, 99)(106,117)(107,116)(108,115)(109,114)(110,113)(111,112)(119,130)(120,129)(121,128)(122,127)(123,126)(124,125)(132,143)(133,142)(134,141)(135,140)(136,139)(137,138)(145,156)(146,155)(147,154)(148,153)(149,152)(150,151)(158,169)(159,168)(160,167)(161,166)(162,165)(163,164)(171,182)(172,181)(173,180)(174,179)(175,178)(176,177)(184,195)(185,194)(186,193)(187,192)(188,191)(189,190)(197,208)(198,207)(199,206)(200,205)(201,204)(202,203)(210,221)(211,220)(212,219)(213,218)(214,217)(215,216)(223,234)(224,233)(225,232)(226,231)(227,230)(228,229)(236,247)(237,246)(238,245)(239,244)(240,243)(241,242)(249,260)(250,259)(251,258)(252,257)(253,256)(254,255)(262,273)(263,272)(264,271)(265,270)(266,269)(267,268)(275,286)(276,285)(277,284)(278,283)(279,282)(280,281)(288,299)(289,298)(290,297)(291,296)(292,295)(293,294)(301,312)(302,311)(303,310)(304,309)(305,308)(306,307)(314,325)(315,324)(316,323)(317,322)(318,321)(319,320)(327,338)(328,337)(329,336)(330,335)(331,334)(332,333)(340,351)(341,350)(342,349)(343,348)(344,347)(345,346)(353,364)(354,363)(355,362)(356,361)(357,360)(358,359)(366,377)(367,376)(368,375)(369,374)(370,373)(371,372)(379,390)(380,389)(381,388)(382,387)(383,386)(384,385);
s1 := Sym(390)!(  1,  2)(  3, 13)(  4, 12)(  5, 11)(  6, 10)(  7,  9)( 14, 54)( 15, 53)( 16, 65)( 17, 64)( 18, 63)( 19, 62)( 20, 61)( 21, 60)( 22, 59)( 23, 58)( 24, 57)( 25, 56)( 26, 55)( 27, 41)( 28, 40)( 29, 52)( 30, 51)( 31, 50)( 32, 49)( 33, 48)( 34, 47)( 35, 46)( 36, 45)( 37, 44)( 38, 43)( 39, 42)( 66,132)( 67,131)( 68,143)( 69,142)( 70,141)( 71,140)( 72,139)( 73,138)( 74,137)( 75,136)( 76,135)( 77,134)( 78,133)( 79,184)( 80,183)( 81,195)( 82,194)( 83,193)( 84,192)( 85,191)( 86,190)( 87,189)( 88,188)( 89,187)( 90,186)( 91,185)( 92,171)( 93,170)( 94,182)( 95,181)( 96,180)( 97,179)( 98,178)( 99,177)(100,176)(101,175)(102,174)(103,173)(104,172)(105,158)(106,157)(107,169)(108,168)(109,167)(110,166)(111,165)(112,164)(113,163)(114,162)(115,161)(116,160)(117,159)(118,145)(119,144)(120,156)(121,155)(122,154)(123,153)(124,152)(125,151)(126,150)(127,149)(128,148)(129,147)(130,146)(196,197)(198,208)(199,207)(200,206)(201,205)(202,204)(209,249)(210,248)(211,260)(212,259)(213,258)(214,257)(215,256)(216,255)(217,254)(218,253)(219,252)(220,251)(221,250)(222,236)(223,235)(224,247)(225,246)(226,245)(227,244)(228,243)(229,242)(230,241)(231,240)(232,239)(233,238)(234,237)(261,327)(262,326)(263,338)(264,337)(265,336)(266,335)(267,334)(268,333)(269,332)(270,331)(271,330)(272,329)(273,328)(274,379)(275,378)(276,390)(277,389)(278,388)(279,387)(280,386)(281,385)(282,384)(283,383)(284,382)(285,381)(286,380)(287,366)(288,365)(289,377)(290,376)(291,375)(292,374)(293,373)(294,372)(295,371)(296,370)(297,369)(298,368)(299,367)(300,353)(301,352)(302,364)(303,363)(304,362)(305,361)(306,360)(307,359)(308,358)(309,357)(310,356)(311,355)(312,354)(313,340)(314,339)(315,351)(316,350)(317,349)(318,348)(319,347)(320,346)(321,345)(322,344)(323,343)(324,342)(325,341);
s2 := Sym(390)!(  1,274)(  2,275)(  3,276)(  4,277)(  5,278)(  6,279)(  7,280)(  8,281)(  9,282)( 10,283)( 11,284)( 12,285)( 13,286)( 14,261)( 15,262)( 16,263)( 17,264)( 18,265)( 19,266)( 20,267)( 21,268)( 22,269)( 23,270)( 24,271)( 25,272)( 26,273)( 27,313)( 28,314)( 29,315)( 30,316)( 31,317)( 32,318)( 33,319)( 34,320)( 35,321)( 36,322)( 37,323)( 38,324)( 39,325)( 40,300)( 41,301)( 42,302)( 43,303)( 44,304)( 45,305)( 46,306)( 47,307)( 48,308)( 49,309)( 50,310)( 51,311)( 52,312)( 53,287)( 54,288)( 55,289)( 56,290)( 57,291)( 58,292)( 59,293)( 60,294)( 61,295)( 62,296)( 63,297)( 64,298)( 65,299)( 66,209)( 67,210)( 68,211)( 69,212)( 70,213)( 71,214)( 72,215)( 73,216)( 74,217)( 75,218)( 76,219)( 77,220)( 78,221)( 79,196)( 80,197)( 81,198)( 82,199)( 83,200)( 84,201)( 85,202)( 86,203)( 87,204)( 88,205)( 89,206)( 90,207)( 91,208)( 92,248)( 93,249)( 94,250)( 95,251)( 96,252)( 97,253)( 98,254)( 99,255)(100,256)(101,257)(102,258)(103,259)(104,260)(105,235)(106,236)(107,237)(108,238)(109,239)(110,240)(111,241)(112,242)(113,243)(114,244)(115,245)(116,246)(117,247)(118,222)(119,223)(120,224)(121,225)(122,226)(123,227)(124,228)(125,229)(126,230)(127,231)(128,232)(129,233)(130,234)(131,339)(132,340)(133,341)(134,342)(135,343)(136,344)(137,345)(138,346)(139,347)(140,348)(141,349)(142,350)(143,351)(144,326)(145,327)(146,328)(147,329)(148,330)(149,331)(150,332)(151,333)(152,334)(153,335)(154,336)(155,337)(156,338)(157,378)(158,379)(159,380)(160,381)(161,382)(162,383)(163,384)(164,385)(165,386)(166,387)(167,388)(168,389)(169,390)(170,365)(171,366)(172,367)(173,368)(174,369)(175,370)(176,371)(177,372)(178,373)(179,374)(180,375)(181,376)(182,377)(183,352)(184,353)(185,354)(186,355)(187,356)(188,357)(189,358)(190,359)(191,360)(192,361)(193,362)(194,363)(195,364);
poly := sub<Sym(390)|s0,s1,s2>;

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