Polytope of Type {24,24} with group SmallGroup(1152,14484)

Overview

Group: SmallGroup(1152,14484)
Rank: 3
Schläfli Type: {24,24}
Vertices, edges, …: 24, 288, 24
Order of s₀s₁s₂: 24
Order of s₀s₁s₂s₁: 4
Also known as: if this polytope has a name.

Special Properties

Compact Hyperbolic Quotient
Locally Spherical
Orientable
Flat
Self-Dual

Quotients maximal quotients in bold

2-fold

3-fold

4-fold

{12,12}*288a

6-fold

8-fold

9-fold

{8,8}*128d

12-fold

16-fold

{6,6}*72a

18-fold

24-fold

36-fold

{4,4}*32

48-fold

72-fold

96-fold

144-fold

{2,2}*8

Covers minimal covers in bold

None in this atlas.

Irregular Quotients of which this is a minimal cover

None.

Representations

Permutation Representation (GAP)

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

Finitely Presented Group Representation (GAP)

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*s2*s0*s1*s0*s1*s2*s1*s2*s0*s1, 
s0*s1*s0*s1*s0*s1*s2*s1*s0*s1*s0*s1*s0*s1*s2*s1, 
s0*s1*s2*s1*s2*s1*s0*s1*s0*s1*s2*s0*s1*s2*s0*s1*s2*s0*s1*s2*s0*s1*s2*s0*s1*s2*s0*s1*s2*s0*s1*s2*s0*s1*s2*s0*s1*s2 ];;
poly := F / rels;;

Permutation Representation (Magma)

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

Finitely Presented Group Representation (Magma)

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

References