Details Page for 0.7662

Complete Solution is Known:

MSV File: q-0.7662.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₃₁₅(0.7662):

Q = <a,b,c,d,e,f,g,h | a²=1, b³=b, c²=b², bd=bc, d²=b², b²e=e, de=ce, e²=b², b²f=f, df=cf, f²=b², b²g=g, dg=cg, g²=b², b²h=h, dh=ch, h²=b²>

P = {a, b², ad}

Phi = 1 a 1 b ab c ac acd bc b ab d ab²c abc bc e ae ab² be abc bc e ab²c b²c ab b bc ab² ab²c b²c ab b e bce be abe ab²c ae f bce abce bf ab b²c ab²c ab² bc b ab b²c ab²c abe bc abc f b ab²c bf ae abc f b²c ab b bc ab² ab²c b²c bf e ae f bef abcf ab²c ace ae ab² abce b ab b²c ab²c ab² bc b ae b²c ab²c abe bc abc abcef b be bce ae abc af b²c ab b bc ae ab²c b²c be cef e cf f abcf ab²c ace ae ab² abce bcf ab b²c ab²c bce bc abcf ae b²c ab²c abce abf abcf f abef be bce ae e af b²c abce bf bc g f b²c bg e ag cf bef abe ab²c acef ae bce abcef bcf aef f acf abef bc ef ae b bef ag bg abcf ab²c abcef be bce ae e ce abe ab acef ae e abcef bce be acef cef e f g bg ace eg abef abce ef aef b²c ab²c abef abcg ef aef bg ab²c g ag abcf cg b be bce abf e abeg abe abce eg cef g abcef bce fg acef ae bcg f abg cg bf abf abef abcef abcf aef b²c abf bce abcg bfg ae b ab²c g ag abcf cg beg be eg bceg bf aceg bcef ab afg cef g abcef bce bg acef cef bcg abce af cg b²c abf bce abcef beg ce abg abf bce abcg ef abfg ab²c bef abef ag abcf cg efg be abceg ae e bcf bcef f cf cef abg be bce ab²c acef abf bcg ag af cg cef abf bce acf beg bg e abf cf abcg bcefg bcf h cefg cf efg abh cg abcef abeg cf bc bf aceg acg afg e cef bf bcfg b²c f h aeg abh abcef b²c ah b bf bce acf e bg h abf cf f ach bcf abcf cefg h ag abh bcf abcf cg cf eh e aef bcef f bfg ae bf aefg b²c f beg ab acef afg b²c cg b abf g ch e beg abcf acfg cf ah bcefg bcf bch acefg aeg bceg bcfg cg ef ah cf g bcfg aceg bce bfg h ae abc bh b²c cg h ab acef ch abeh f bch cef ceh ch abe aceg abc abf fh bh afg ae abcf abch abeh abefg ceh ab abcf ab²c b²c abf g bh abcf be abfg acefg bch bh b²c cg h ab acef ab²c af f ah bh g afh acfh abeh e abch bf bceg abceg ab bch abch beg abefg bcg ab acefg bg aeh beh abeh bfh ceh afh fh abcfh bch aefg acfh f afh ab befh ab²c abe abcef acfg ah acef gh bcef bcf eh abf fh bcefg bce afg bch abch afh bg abh aef abefh bch afh gh bcfh ab ceh abgh h acefg bch eg bcfg bg abfg abf aefh gh b²c ab²c bgh ae e cegh b²c abeh abcgh cef abfg afh beh ab egh abefg abfg ceh bcg bfh ef aeh abg abgh cegh ab af afgh bce acfg bch f bcfg acefh befh abch acef afgh aefg ab²c bch ae acef bcefg b²c befh egh ae abegh fh bce abefh abcegh cfg acef abce befh afg b acefg bce eg g ab ace afh bce abcfh bcfh eg bcfg f abfg cfg aefh cegh b²c ab²c afgh ae bch cegh abe abeh egh cef bce abegh beh abgh abfh abg aefh abce bfgh afg abcf ae bce befgh cefgh ab ceh aefgh abcefgh acefg acfg abcfg bcfg abcef cefg aceg e h abe be bce abeg aeh abcg b²c abefh abcegh ae ceh abgh acefgh bcefg b

Monoid Structure