Polytope of Type {850}
This page is part of the Atlas of Small Regular Polytopes
Atlas Canonical Name : {850}*1700
Also Known As : 850-gon, {850}. if this polytope has another name.
Group : SmallGroup(1700,14)
Rank : 2
Schlafli Type : {850}
Number of vertices, edges, etc : 850, 850
Order of s0s1 : 850
Special Properties :
Universal
Spherical
Locally Spherical
Orientable
Self-Dual
Related Polytopes :
Facet
Vertex Figure
Dual
Facet Of :
None in this Atlas
Vertex Figure Of :
None in this Atlas
Quotients (Maximal Quotients in Boldface) :
2-fold quotients : {425}*850
5-fold quotients : {170}*340
10-fold quotients : {85}*170
17-fold quotients : {50}*100
25-fold quotients : {34}*68
34-fold quotients : {25}*50
50-fold quotients : {17}*34
85-fold quotients : {10}*20
170-fold quotients : {5}*10
425-fold quotients : {2}*4
Covers (Minimal Covers in Boldface) :
None in this atlas.
Irregular Quotients (of which this is a minimal cover):
None.
Permutation Representation (GAP) :
s0 := ( 2, 5)( 3, 4)( 6, 81)( 7, 85)( 8, 84)( 9, 83)( 10, 82)( 11, 76)( 12, 80)( 13, 79)( 14, 78)( 15, 77)( 16, 71)( 17, 75)( 18, 74)( 19, 73)( 20, 72)( 21, 66)( 22, 70)( 23, 69)( 24, 68)( 25, 67)( 26, 61)( 27, 65)( 28, 64)( 29, 63)( 30, 62)( 31, 56)( 32, 60)( 33, 59)( 34, 58)( 35, 57)( 36, 51)( 37, 55)( 38, 54)( 39, 53)( 40, 52)( 41, 46)( 42, 50)( 43, 49)( 44, 48)( 45, 47)( 86,342)( 87,341)( 88,345)( 89,344)( 90,343)( 91,422)( 92,421)( 93,425)( 94,424)( 95,423)( 96,417)( 97,416)( 98,420)( 99,419)(100,418)(101,412)(102,411)(103,415)(104,414)(105,413)(106,407)(107,406)(108,410)(109,409)(110,408)(111,402)(112,401)(113,405)(114,404)(115,403)(116,397)(117,396)(118,400)(119,399)(120,398)(121,392)(122,391)(123,395)(124,394)(125,393)(126,387)(127,386)(128,390)(129,389)(130,388)(131,382)(132,381)(133,385)(134,384)(135,383)(136,377)(137,376)(138,380)(139,379)(140,378)(141,372)(142,371)(143,375)(144,374)(145,373)(146,367)(147,366)(148,370)(149,369)(150,368)(151,362)(152,361)(153,365)(154,364)(155,363)(156,357)(157,356)(158,360)(159,359)(160,358)(161,352)(162,351)(163,355)(164,354)(165,353)(166,347)(167,346)(168,350)(169,349)(170,348)(171,257)(172,256)(173,260)(174,259)(175,258)(176,337)(177,336)(178,340)(179,339)(180,338)(181,332)(182,331)(183,335)(184,334)(185,333)(186,327)(187,326)(188,330)(189,329)(190,328)(191,322)(192,321)(193,325)(194,324)(195,323)(196,317)(197,316)(198,320)(199,319)(200,318)(201,312)(202,311)(203,315)(204,314)(205,313)(206,307)(207,306)(208,310)(209,309)(210,308)(211,302)(212,301)(213,305)(214,304)(215,303)(216,297)(217,296)(218,300)(219,299)(220,298)(221,292)(222,291)(223,295)(224,294)(225,293)(226,287)(227,286)(228,290)(229,289)(230,288)(231,282)(232,281)(233,285)(234,284)(235,283)(236,277)(237,276)(238,280)(239,279)(240,278)(241,272)(242,271)(243,275)(244,274)(245,273)(246,267)(247,266)(248,270)(249,269)(250,268)(251,262)(252,261)(253,265)(254,264)(255,263)(427,430)(428,429)(431,506)(432,510)(433,509)(434,508)(435,507)(436,501)(437,505)(438,504)(439,503)(440,502)(441,496)(442,500)(443,499)(444,498)(445,497)(446,491)(447,495)(448,494)(449,493)(450,492)(451,486)(452,490)(453,489)(454,488)(455,487)(456,481)(457,485)(458,484)(459,483)(460,482)(461,476)(462,480)(463,479)(464,478)(465,477)(466,471)(467,475)(468,474)(469,473)(470,472)(511,767)(512,766)(513,770)(514,769)(515,768)(516,847)(517,846)(518,850)(519,849)(520,848)(521,842)(522,841)(523,845)(524,844)(525,843)(526,837)(527,836)(528,840)(529,839)(530,838)(531,832)(532,831)(533,835)(534,834)(535,833)(536,827)(537,826)(538,830)(539,829)(540,828)(541,822)(542,821)(543,825)(544,824)(545,823)(546,817)(547,816)(548,820)(549,819)(550,818)(551,812)(552,811)(553,815)(554,814)(555,813)(556,807)(557,806)(558,810)(559,809)(560,808)(561,802)(562,801)(563,805)(564,804)(565,803)(566,797)(567,796)(568,800)(569,799)(570,798)(571,792)(572,791)(573,795)(574,794)(575,793)(576,787)(577,786)(578,790)(579,789)(580,788)(581,782)(582,781)(583,785)(584,784)(585,783)(586,777)(587,776)(588,780)(589,779)(590,778)(591,772)(592,771)(593,775)(594,774)(595,773)(596,682)(597,681)(598,685)(599,684)(600,683)(601,762)(602,761)(603,765)(604,764)(605,763)(606,757)(607,756)(608,760)(609,759)(610,758)(611,752)(612,751)(613,755)(614,754)(615,753)(616,747)(617,746)(618,750)(619,749)(620,748)(621,742)(622,741)(623,745)(624,744)(625,743)(626,737)(627,736)(628,740)(629,739)(630,738)(631,732)(632,731)(633,735)(634,734)(635,733)(636,727)(637,726)(638,730)(639,729)(640,728)(641,722)(642,721)(643,725)(644,724)(645,723)(646,717)(647,716)(648,720)(649,719)(650,718)(651,712)(652,711)(653,715)(654,714)(655,713)(656,707)(657,706)(658,710)(659,709)(660,708)(661,702)(662,701)(663,705)(664,704)(665,703)(666,697)(667,696)(668,700)(669,699)(670,698)(671,692)(672,691)(673,695)(674,694)(675,693)(676,687)(677,686)(678,690)(679,689)(680,688);;
s1 := ( 1,516)( 2,520)( 3,519)( 4,518)( 5,517)( 6,511)( 7,515)( 8,514)( 9,513)( 10,512)( 11,591)( 12,595)( 13,594)( 14,593)( 15,592)( 16,586)( 17,590)( 18,589)( 19,588)( 20,587)( 21,581)( 22,585)( 23,584)( 24,583)( 25,582)( 26,576)( 27,580)( 28,579)( 29,578)( 30,577)( 31,571)( 32,575)( 33,574)( 34,573)( 35,572)( 36,566)( 37,570)( 38,569)( 39,568)( 40,567)( 41,561)( 42,565)( 43,564)( 44,563)( 45,562)( 46,556)( 47,560)( 48,559)( 49,558)( 50,557)( 51,551)( 52,555)( 53,554)( 54,553)( 55,552)( 56,546)( 57,550)( 58,549)( 59,548)( 60,547)( 61,541)( 62,545)( 63,544)( 64,543)( 65,542)( 66,536)( 67,540)( 68,539)( 69,538)( 70,537)( 71,531)( 72,535)( 73,534)( 74,533)( 75,532)( 76,526)( 77,530)( 78,529)( 79,528)( 80,527)( 81,521)( 82,525)( 83,524)( 84,523)( 85,522)( 86,431)( 87,435)( 88,434)( 89,433)( 90,432)( 91,426)( 92,430)( 93,429)( 94,428)( 95,427)( 96,506)( 97,510)( 98,509)( 99,508)(100,507)(101,501)(102,505)(103,504)(104,503)(105,502)(106,496)(107,500)(108,499)(109,498)(110,497)(111,491)(112,495)(113,494)(114,493)(115,492)(116,486)(117,490)(118,489)(119,488)(120,487)(121,481)(122,485)(123,484)(124,483)(125,482)(126,476)(127,480)(128,479)(129,478)(130,477)(131,471)(132,475)(133,474)(134,473)(135,472)(136,466)(137,470)(138,469)(139,468)(140,467)(141,461)(142,465)(143,464)(144,463)(145,462)(146,456)(147,460)(148,459)(149,458)(150,457)(151,451)(152,455)(153,454)(154,453)(155,452)(156,446)(157,450)(158,449)(159,448)(160,447)(161,441)(162,445)(163,444)(164,443)(165,442)(166,436)(167,440)(168,439)(169,438)(170,437)(171,772)(172,771)(173,775)(174,774)(175,773)(176,767)(177,766)(178,770)(179,769)(180,768)(181,847)(182,846)(183,850)(184,849)(185,848)(186,842)(187,841)(188,845)(189,844)(190,843)(191,837)(192,836)(193,840)(194,839)(195,838)(196,832)(197,831)(198,835)(199,834)(200,833)(201,827)(202,826)(203,830)(204,829)(205,828)(206,822)(207,821)(208,825)(209,824)(210,823)(211,817)(212,816)(213,820)(214,819)(215,818)(216,812)(217,811)(218,815)(219,814)(220,813)(221,807)(222,806)(223,810)(224,809)(225,808)(226,802)(227,801)(228,805)(229,804)(230,803)(231,797)(232,796)(233,800)(234,799)(235,798)(236,792)(237,791)(238,795)(239,794)(240,793)(241,787)(242,786)(243,790)(244,789)(245,788)(246,782)(247,781)(248,785)(249,784)(250,783)(251,777)(252,776)(253,780)(254,779)(255,778)(256,687)(257,686)(258,690)(259,689)(260,688)(261,682)(262,681)(263,685)(264,684)(265,683)(266,762)(267,761)(268,765)(269,764)(270,763)(271,757)(272,756)(273,760)(274,759)(275,758)(276,752)(277,751)(278,755)(279,754)(280,753)(281,747)(282,746)(283,750)(284,749)(285,748)(286,742)(287,741)(288,745)(289,744)(290,743)(291,737)(292,736)(293,740)(294,739)(295,738)(296,732)(297,731)(298,735)(299,734)(300,733)(301,727)(302,726)(303,730)(304,729)(305,728)(306,722)(307,721)(308,725)(309,724)(310,723)(311,717)(312,716)(313,720)(314,719)(315,718)(316,712)(317,711)(318,715)(319,714)(320,713)(321,707)(322,706)(323,710)(324,709)(325,708)(326,702)(327,701)(328,705)(329,704)(330,703)(331,697)(332,696)(333,700)(334,699)(335,698)(336,692)(337,691)(338,695)(339,694)(340,693)(341,602)(342,601)(343,605)(344,604)(345,603)(346,597)(347,596)(348,600)(349,599)(350,598)(351,677)(352,676)(353,680)(354,679)(355,678)(356,672)(357,671)(358,675)(359,674)(360,673)(361,667)(362,666)(363,670)(364,669)(365,668)(366,662)(367,661)(368,665)(369,664)(370,663)(371,657)(372,656)(373,660)(374,659)(375,658)(376,652)(377,651)(378,655)(379,654)(380,653)(381,647)(382,646)(383,650)(384,649)(385,648)(386,642)(387,641)(388,645)(389,644)(390,643)(391,637)(392,636)(393,640)(394,639)(395,638)(396,632)(397,631)(398,635)(399,634)(400,633)(401,627)(402,626)(403,630)(404,629)(405,628)(406,622)(407,621)(408,625)(409,624)(410,623)(411,617)(412,616)(413,620)(414,619)(415,618)(416,612)(417,611)(418,615)(419,614)(420,613)(421,607)(422,606)(423,610)(424,609)(425,608);;
poly := Group([s0,s1]);;
Finitely Presented Group Representation (GAP) :
F := FreeGroup("s0","s1");;
s0 := F.1;; s1 := F.2;;
rels := [ s0*s0, s1*s1, 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*s1*s0*s1*s0*s1*s0*s1*s0*s1*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;;
Permutation Representation (Magma) :
s0 := Sym(850)!( 2, 5)( 3, 4)( 6, 81)( 7, 85)( 8, 84)( 9, 83)( 10, 82)( 11, 76)( 12, 80)( 13, 79)( 14, 78)( 15, 77)( 16, 71)( 17, 75)( 18, 74)( 19, 73)( 20, 72)( 21, 66)( 22, 70)( 23, 69)( 24, 68)( 25, 67)( 26, 61)( 27, 65)( 28, 64)( 29, 63)( 30, 62)( 31, 56)( 32, 60)( 33, 59)( 34, 58)( 35, 57)( 36, 51)( 37, 55)( 38, 54)( 39, 53)( 40, 52)( 41, 46)( 42, 50)( 43, 49)( 44, 48)( 45, 47)( 86,342)( 87,341)( 88,345)( 89,344)( 90,343)( 91,422)( 92,421)( 93,425)( 94,424)( 95,423)( 96,417)( 97,416)( 98,420)( 99,419)(100,418)(101,412)(102,411)(103,415)(104,414)(105,413)(106,407)(107,406)(108,410)(109,409)(110,408)(111,402)(112,401)(113,405)(114,404)(115,403)(116,397)(117,396)(118,400)(119,399)(120,398)(121,392)(122,391)(123,395)(124,394)(125,393)(126,387)(127,386)(128,390)(129,389)(130,388)(131,382)(132,381)(133,385)(134,384)(135,383)(136,377)(137,376)(138,380)(139,379)(140,378)(141,372)(142,371)(143,375)(144,374)(145,373)(146,367)(147,366)(148,370)(149,369)(150,368)(151,362)(152,361)(153,365)(154,364)(155,363)(156,357)(157,356)(158,360)(159,359)(160,358)(161,352)(162,351)(163,355)(164,354)(165,353)(166,347)(167,346)(168,350)(169,349)(170,348)(171,257)(172,256)(173,260)(174,259)(175,258)(176,337)(177,336)(178,340)(179,339)(180,338)(181,332)(182,331)(183,335)(184,334)(185,333)(186,327)(187,326)(188,330)(189,329)(190,328)(191,322)(192,321)(193,325)(194,324)(195,323)(196,317)(197,316)(198,320)(199,319)(200,318)(201,312)(202,311)(203,315)(204,314)(205,313)(206,307)(207,306)(208,310)(209,309)(210,308)(211,302)(212,301)(213,305)(214,304)(215,303)(216,297)(217,296)(218,300)(219,299)(220,298)(221,292)(222,291)(223,295)(224,294)(225,293)(226,287)(227,286)(228,290)(229,289)(230,288)(231,282)(232,281)(233,285)(234,284)(235,283)(236,277)(237,276)(238,280)(239,279)(240,278)(241,272)(242,271)(243,275)(244,274)(245,273)(246,267)(247,266)(248,270)(249,269)(250,268)(251,262)(252,261)(253,265)(254,264)(255,263)(427,430)(428,429)(431,506)(432,510)(433,509)(434,508)(435,507)(436,501)(437,505)(438,504)(439,503)(440,502)(441,496)(442,500)(443,499)(444,498)(445,497)(446,491)(447,495)(448,494)(449,493)(450,492)(451,486)(452,490)(453,489)(454,488)(455,487)(456,481)(457,485)(458,484)(459,483)(460,482)(461,476)(462,480)(463,479)(464,478)(465,477)(466,471)(467,475)(468,474)(469,473)(470,472)(511,767)(512,766)(513,770)(514,769)(515,768)(516,847)(517,846)(518,850)(519,849)(520,848)(521,842)(522,841)(523,845)(524,844)(525,843)(526,837)(527,836)(528,840)(529,839)(530,838)(531,832)(532,831)(533,835)(534,834)(535,833)(536,827)(537,826)(538,830)(539,829)(540,828)(541,822)(542,821)(543,825)(544,824)(545,823)(546,817)(547,816)(548,820)(549,819)(550,818)(551,812)(552,811)(553,815)(554,814)(555,813)(556,807)(557,806)(558,810)(559,809)(560,808)(561,802)(562,801)(563,805)(564,804)(565,803)(566,797)(567,796)(568,800)(569,799)(570,798)(571,792)(572,791)(573,795)(574,794)(575,793)(576,787)(577,786)(578,790)(579,789)(580,788)(581,782)(582,781)(583,785)(584,784)(585,783)(586,777)(587,776)(588,780)(589,779)(590,778)(591,772)(592,771)(593,775)(594,774)(595,773)(596,682)(597,681)(598,685)(599,684)(600,683)(601,762)(602,761)(603,765)(604,764)(605,763)(606,757)(607,756)(608,760)(609,759)(610,758)(611,752)(612,751)(613,755)(614,754)(615,753)(616,747)(617,746)(618,750)(619,749)(620,748)(621,742)(622,741)(623,745)(624,744)(625,743)(626,737)(627,736)(628,740)(629,739)(630,738)(631,732)(632,731)(633,735)(634,734)(635,733)(636,727)(637,726)(638,730)(639,729)(640,728)(641,722)(642,721)(643,725)(644,724)(645,723)(646,717)(647,716)(648,720)(649,719)(650,718)(651,712)(652,711)(653,715)(654,714)(655,713)(656,707)(657,706)(658,710)(659,709)(660,708)(661,702)(662,701)(663,705)(664,704)(665,703)(666,697)(667,696)(668,700)(669,699)(670,698)(671,692)(672,691)(673,695)(674,694)(675,693)(676,687)(677,686)(678,690)(679,689)(680,688);
s1 := Sym(850)!( 1,516)( 2,520)( 3,519)( 4,518)( 5,517)( 6,511)( 7,515)( 8,514)( 9,513)( 10,512)( 11,591)( 12,595)( 13,594)( 14,593)( 15,592)( 16,586)( 17,590)( 18,589)( 19,588)( 20,587)( 21,581)( 22,585)( 23,584)( 24,583)( 25,582)( 26,576)( 27,580)( 28,579)( 29,578)( 30,577)( 31,571)( 32,575)( 33,574)( 34,573)( 35,572)( 36,566)( 37,570)( 38,569)( 39,568)( 40,567)( 41,561)( 42,565)( 43,564)( 44,563)( 45,562)( 46,556)( 47,560)( 48,559)( 49,558)( 50,557)( 51,551)( 52,555)( 53,554)( 54,553)( 55,552)( 56,546)( 57,550)( 58,549)( 59,548)( 60,547)( 61,541)( 62,545)( 63,544)( 64,543)( 65,542)( 66,536)( 67,540)( 68,539)( 69,538)( 70,537)( 71,531)( 72,535)( 73,534)( 74,533)( 75,532)( 76,526)( 77,530)( 78,529)( 79,528)( 80,527)( 81,521)( 82,525)( 83,524)( 84,523)( 85,522)( 86,431)( 87,435)( 88,434)( 89,433)( 90,432)( 91,426)( 92,430)( 93,429)( 94,428)( 95,427)( 96,506)( 97,510)( 98,509)( 99,508)(100,507)(101,501)(102,505)(103,504)(104,503)(105,502)(106,496)(107,500)(108,499)(109,498)(110,497)(111,491)(112,495)(113,494)(114,493)(115,492)(116,486)(117,490)(118,489)(119,488)(120,487)(121,481)(122,485)(123,484)(124,483)(125,482)(126,476)(127,480)(128,479)(129,478)(130,477)(131,471)(132,475)(133,474)(134,473)(135,472)(136,466)(137,470)(138,469)(139,468)(140,467)(141,461)(142,465)(143,464)(144,463)(145,462)(146,456)(147,460)(148,459)(149,458)(150,457)(151,451)(152,455)(153,454)(154,453)(155,452)(156,446)(157,450)(158,449)(159,448)(160,447)(161,441)(162,445)(163,444)(164,443)(165,442)(166,436)(167,440)(168,439)(169,438)(170,437)(171,772)(172,771)(173,775)(174,774)(175,773)(176,767)(177,766)(178,770)(179,769)(180,768)(181,847)(182,846)(183,850)(184,849)(185,848)(186,842)(187,841)(188,845)(189,844)(190,843)(191,837)(192,836)(193,840)(194,839)(195,838)(196,832)(197,831)(198,835)(199,834)(200,833)(201,827)(202,826)(203,830)(204,829)(205,828)(206,822)(207,821)(208,825)(209,824)(210,823)(211,817)(212,816)(213,820)(214,819)(215,818)(216,812)(217,811)(218,815)(219,814)(220,813)(221,807)(222,806)(223,810)(224,809)(225,808)(226,802)(227,801)(228,805)(229,804)(230,803)(231,797)(232,796)(233,800)(234,799)(235,798)(236,792)(237,791)(238,795)(239,794)(240,793)(241,787)(242,786)(243,790)(244,789)(245,788)(246,782)(247,781)(248,785)(249,784)(250,783)(251,777)(252,776)(253,780)(254,779)(255,778)(256,687)(257,686)(258,690)(259,689)(260,688)(261,682)(262,681)(263,685)(264,684)(265,683)(266,762)(267,761)(268,765)(269,764)(270,763)(271,757)(272,756)(273,760)(274,759)(275,758)(276,752)(277,751)(278,755)(279,754)(280,753)(281,747)(282,746)(283,750)(284,749)(285,748)(286,742)(287,741)(288,745)(289,744)(290,743)(291,737)(292,736)(293,740)(294,739)(295,738)(296,732)(297,731)(298,735)(299,734)(300,733)(301,727)(302,726)(303,730)(304,729)(305,728)(306,722)(307,721)(308,725)(309,724)(310,723)(311,717)(312,716)(313,720)(314,719)(315,718)(316,712)(317,711)(318,715)(319,714)(320,713)(321,707)(322,706)(323,710)(324,709)(325,708)(326,702)(327,701)(328,705)(329,704)(330,703)(331,697)(332,696)(333,700)(334,699)(335,698)(336,692)(337,691)(338,695)(339,694)(340,693)(341,602)(342,601)(343,605)(344,604)(345,603)(346,597)(347,596)(348,600)(349,599)(350,598)(351,677)(352,676)(353,680)(354,679)(355,678)(356,672)(357,671)(358,675)(359,674)(360,673)(361,667)(362,666)(363,670)(364,669)(365,668)(366,662)(367,661)(368,665)(369,664)(370,663)(371,657)(372,656)(373,660)(374,659)(375,658)(376,652)(377,651)(378,655)(379,654)(380,653)(381,647)(382,646)(383,650)(384,649)(385,648)(386,642)(387,641)(388,645)(389,644)(390,643)(391,637)(392,636)(393,640)(394,639)(395,638)(396,632)(397,631)(398,635)(399,634)(400,633)(401,627)(402,626)(403,630)(404,629)(405,628)(406,622)(407,621)(408,625)(409,624)(410,623)(411,617)(412,616)(413,620)(414,619)(415,618)(416,612)(417,611)(418,615)(419,614)(420,613)(421,607)(422,606)(423,610)(424,609)(425,608);
poly := sub<Sym(850)|s0,s1>;
Finitely Presented Group Representation (Magma) :
poly<s0,s1> := Group< s0,s1 | s0*s0, s1*s1, s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1 >;
References : None.
to this polytope