Polytope of Type {92,6}

s0 := (  2, 23)(  3, 22)(  4, 21)(  5, 20)(  6, 19)(  7, 18)(  8, 17)(  9, 16)( 10, 15)( 11, 14)( 12, 13)( 25, 46)( 26, 45)( 27, 44)( 28, 43)( 29, 42)( 30, 41)( 31, 40)( 32, 39)( 33, 38)( 34, 37)( 35, 36)( 48, 69)( 49, 68)( 50, 67)( 51, 66)( 52, 65)( 53, 64)( 54, 63)( 55, 62)( 56, 61)( 57, 60)( 58, 59)( 71, 92)( 72, 91)( 73, 90)( 74, 89)( 75, 88)( 76, 87)( 77, 86)( 78, 85)( 79, 84)( 80, 83)( 81, 82)( 94,115)( 95,114)( 96,113)( 97,112)( 98,111)( 99,110)(100,109)(101,108)(102,107)(103,106)(104,105)(117,138)(118,137)(119,136)(120,135)(121,134)(122,133)(123,132)(124,131)(125,130)(126,129)(127,128)(139,208)(140,230)(141,229)(142,228)(143,227)(144,226)(145,225)(146,224)(147,223)(148,222)(149,221)(150,220)(151,219)(152,218)(153,217)(154,216)(155,215)(156,214)(157,213)(158,212)(159,211)(160,210)(161,209)(162,231)(163,253)(164,252)(165,251)(166,250)(167,249)(168,248)(169,247)(170,246)(171,245)(172,244)(173,243)(174,242)(175,241)(176,240)(177,239)(178,238)(179,237)(180,236)(181,235)(182,234)(183,233)(184,232)(185,254)(186,276)(187,275)(188,274)(189,273)(190,272)(191,271)(192,270)(193,269)(194,268)(195,267)(196,266)(197,265)(198,264)(199,263)(200,262)(201,261)(202,260)(203,259)(204,258)(205,257)(206,256)(207,255);;
s1 := (  1,140)(  2,139)(  3,161)(  4,160)(  5,159)(  6,158)(  7,157)(  8,156)(  9,155)( 10,154)( 11,153)( 12,152)( 13,151)( 14,150)( 15,149)( 16,148)( 17,147)( 18,146)( 19,145)( 20,144)( 21,143)( 22,142)( 23,141)( 24,186)( 25,185)( 26,207)( 27,206)( 28,205)( 29,204)( 30,203)( 31,202)( 32,201)( 33,200)( 34,199)( 35,198)( 36,197)( 37,196)( 38,195)( 39,194)( 40,193)( 41,192)( 42,191)( 43,190)( 44,189)( 45,188)( 46,187)( 47,163)( 48,162)( 49,184)( 50,183)( 51,182)( 52,181)( 53,180)( 54,179)( 55,178)( 56,177)( 57,176)( 58,175)( 59,174)( 60,173)( 61,172)( 62,171)( 63,170)( 64,169)( 65,168)( 66,167)( 67,166)( 68,165)( 69,164)( 70,209)( 71,208)( 72,230)( 73,229)( 74,228)( 75,227)( 76,226)( 77,225)( 78,224)( 79,223)( 80,222)( 81,221)( 82,220)( 83,219)( 84,218)( 85,217)( 86,216)( 87,215)( 88,214)( 89,213)( 90,212)( 91,211)( 92,210)( 93,255)( 94,254)( 95,276)( 96,275)( 97,274)( 98,273)( 99,272)(100,271)(101,270)(102,269)(103,268)(104,267)(105,266)(106,265)(107,264)(108,263)(109,262)(110,261)(111,260)(112,259)(113,258)(114,257)(115,256)(116,232)(117,231)(118,253)(119,252)(120,251)(121,250)(122,249)(123,248)(124,247)(125,246)(126,245)(127,244)(128,243)(129,242)(130,241)(131,240)(132,239)(133,238)(134,237)(135,236)(136,235)(137,234)(138,233);;
s2 := (  1, 24)(  2, 25)(  3, 26)(  4, 27)(  5, 28)(  6, 29)(  7, 30)(  8, 31)(  9, 32)( 10, 33)( 11, 34)( 12, 35)( 13, 36)( 14, 37)( 15, 38)( 16, 39)( 17, 40)( 18, 41)( 19, 42)( 20, 43)( 21, 44)( 22, 45)( 23, 46)( 70, 93)( 71, 94)( 72, 95)( 73, 96)( 74, 97)( 75, 98)( 76, 99)( 77,100)( 78,101)( 79,102)( 80,103)( 81,104)( 82,105)( 83,106)( 84,107)( 85,108)( 86,109)( 87,110)( 88,111)( 89,112)( 90,113)( 91,114)( 92,115)(139,162)(140,163)(141,164)(142,165)(143,166)(144,167)(145,168)(146,169)(147,170)(148,171)(149,172)(150,173)(151,174)(152,175)(153,176)(154,177)(155,178)(156,179)(157,180)(158,181)(159,182)(160,183)(161,184)(208,231)(209,232)(210,233)(211,234)(212,235)(213,236)(214,237)(215,238)(216,239)(217,240)(218,241)(219,242)(220,243)(221,244)(222,245)(223,246)(224,247)(225,248)(226,249)(227,250)(228,251)(229,252)(230,253);;
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, 
s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*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*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*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1 ];;
poly := F / rels;;

s0 := Sym(276)!(  2, 23)(  3, 22)(  4, 21)(  5, 20)(  6, 19)(  7, 18)(  8, 17)(  9, 16)( 10, 15)( 11, 14)( 12, 13)( 25, 46)( 26, 45)( 27, 44)( 28, 43)( 29, 42)( 30, 41)( 31, 40)( 32, 39)( 33, 38)( 34, 37)( 35, 36)( 48, 69)( 49, 68)( 50, 67)( 51, 66)( 52, 65)( 53, 64)( 54, 63)( 55, 62)( 56, 61)( 57, 60)( 58, 59)( 71, 92)( 72, 91)( 73, 90)( 74, 89)( 75, 88)( 76, 87)( 77, 86)( 78, 85)( 79, 84)( 80, 83)( 81, 82)( 94,115)( 95,114)( 96,113)( 97,112)( 98,111)( 99,110)(100,109)(101,108)(102,107)(103,106)(104,105)(117,138)(118,137)(119,136)(120,135)(121,134)(122,133)(123,132)(124,131)(125,130)(126,129)(127,128)(139,208)(140,230)(141,229)(142,228)(143,227)(144,226)(145,225)(146,224)(147,223)(148,222)(149,221)(150,220)(151,219)(152,218)(153,217)(154,216)(155,215)(156,214)(157,213)(158,212)(159,211)(160,210)(161,209)(162,231)(163,253)(164,252)(165,251)(166,250)(167,249)(168,248)(169,247)(170,246)(171,245)(172,244)(173,243)(174,242)(175,241)(176,240)(177,239)(178,238)(179,237)(180,236)(181,235)(182,234)(183,233)(184,232)(185,254)(186,276)(187,275)(188,274)(189,273)(190,272)(191,271)(192,270)(193,269)(194,268)(195,267)(196,266)(197,265)(198,264)(199,263)(200,262)(201,261)(202,260)(203,259)(204,258)(205,257)(206,256)(207,255);
s1 := Sym(276)!(  1,140)(  2,139)(  3,161)(  4,160)(  5,159)(  6,158)(  7,157)(  8,156)(  9,155)( 10,154)( 11,153)( 12,152)( 13,151)( 14,150)( 15,149)( 16,148)( 17,147)( 18,146)( 19,145)( 20,144)( 21,143)( 22,142)( 23,141)( 24,186)( 25,185)( 26,207)( 27,206)( 28,205)( 29,204)( 30,203)( 31,202)( 32,201)( 33,200)( 34,199)( 35,198)( 36,197)( 37,196)( 38,195)( 39,194)( 40,193)( 41,192)( 42,191)( 43,190)( 44,189)( 45,188)( 46,187)( 47,163)( 48,162)( 49,184)( 50,183)( 51,182)( 52,181)( 53,180)( 54,179)( 55,178)( 56,177)( 57,176)( 58,175)( 59,174)( 60,173)( 61,172)( 62,171)( 63,170)( 64,169)( 65,168)( 66,167)( 67,166)( 68,165)( 69,164)( 70,209)( 71,208)( 72,230)( 73,229)( 74,228)( 75,227)( 76,226)( 77,225)( 78,224)( 79,223)( 80,222)( 81,221)( 82,220)( 83,219)( 84,218)( 85,217)( 86,216)( 87,215)( 88,214)( 89,213)( 90,212)( 91,211)( 92,210)( 93,255)( 94,254)( 95,276)( 96,275)( 97,274)( 98,273)( 99,272)(100,271)(101,270)(102,269)(103,268)(104,267)(105,266)(106,265)(107,264)(108,263)(109,262)(110,261)(111,260)(112,259)(113,258)(114,257)(115,256)(116,232)(117,231)(118,253)(119,252)(120,251)(121,250)(122,249)(123,248)(124,247)(125,246)(126,245)(127,244)(128,243)(129,242)(130,241)(131,240)(132,239)(133,238)(134,237)(135,236)(136,235)(137,234)(138,233);
s2 := Sym(276)!(  1, 24)(  2, 25)(  3, 26)(  4, 27)(  5, 28)(  6, 29)(  7, 30)(  8, 31)(  9, 32)( 10, 33)( 11, 34)( 12, 35)( 13, 36)( 14, 37)( 15, 38)( 16, 39)( 17, 40)( 18, 41)( 19, 42)( 20, 43)( 21, 44)( 22, 45)( 23, 46)( 70, 93)( 71, 94)( 72, 95)( 73, 96)( 74, 97)( 75, 98)( 76, 99)( 77,100)( 78,101)( 79,102)( 80,103)( 81,104)( 82,105)( 83,106)( 84,107)( 85,108)( 86,109)( 87,110)( 88,111)( 89,112)( 90,113)( 91,114)( 92,115)(139,162)(140,163)(141,164)(142,165)(143,166)(144,167)(145,168)(146,169)(147,170)(148,171)(149,172)(150,173)(151,174)(152,175)(153,176)(154,177)(155,178)(156,179)(157,180)(158,181)(159,182)(160,183)(161,184)(208,231)(209,232)(210,233)(211,234)(212,235)(213,236)(214,237)(215,238)(216,239)(217,240)(218,241)(219,242)(220,243)(221,244)(222,245)(223,246)(224,247)(225,248)(226,249)(227,250)(228,251)(229,252)(230,253);
poly := sub<Sym(276)|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, 
s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*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*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*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1 >;