Details Page for 0.7672

Complete Solution is Known:

MSV File: q-0.7672.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₆₅₈(0.7672):

Q = <a,b,c,d,e,f,g,h,i | 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, b²i=i, di=ci, i²=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 i bcfh abce cgh ce ef efh ab² bceh befgh bcf acef abcegh abef acfg bcfh efh abceg gh fg cfg aefh acfgh bcefg f abcefh ae e i af f abceh abf bce i bcef bi abi bc e abce bci bcf ace bfg bce bef abci ei ceh ai abef bi abci abcfg abcf eg bcfgh abcfgh abfg abcfg abe abefh acfg bc acef acgh b²c abeh ceh cef abfg abgh acg ab²c agh ae abfg bef abegh bcf abcf abcegh bce ab²c fh aef abc bef abef bcefh abegh aef abfh ci beh ae acef bcf abe abcef aefgh ae beg efh af abcfg befh bcfgh e acefg cf ab²c aeh acefh bcfh cfg ah abgh bi cef acfg ai h aef ei bi bei ai cgh bg abcf bfh bcegh cfg abfg acei bcfg h befg afi aei bcf aefg abcei befh acefh abfg ai cgh cfh abi bh bce abei bci fi ace abf ab² ai fh aef cei bcg abeh ch ai bcefg acfgh ci bcegh ae abfg abch fi cgh h abf bf abch bcfh abcfg g bcgh cefg cg ai f egh abf abcfgh afi beg bei abch ab bce i beg abeg bch abcg fi ch ai bg aefg ab²c afgh abefg bci ab cfgh f cf bcefgh afgh afi aefi abcfg abefgh acei abfg bci b²c ah abi cef bce fi bcef abeg abcf bcfg ai gi bci abcfi bch ag aeg ch ai bg fi acefi abei bef gi aceg fi befgh bei abf b bcgi bch abei befh cef acegh bci fi f aefi egh bf fgh ai ce acei ab abh befi abg abefgh bch cefg abcgi ch gi acei abcf abgi abei bef agi ab aeh f abef abcgh abcgi bcgi afi ah cgi abcfi bf acefh ai f acegi acefi acef bcgi abcefi bceh bei afgi cf bcfgh agi ab bch abch bcegh bcei ai abeg abcf abcfh acfi abeh beg efg bgi bei bcg bfg acefi gh ceh abgh cgi abfi aefh aceh fi ah g cfg acef acfh abcefi ah abegi efi cefh bcfgh befh bcfi begi abfgi cfi bcei gi efi abcf abcg efgi abeh abcfgh abcfh abefgh befgh bi cgi abh acefh acegi afgi h ag bf b egi abcef abegi bgi abc abcfgh acegi efgi bch ai acfg aegi fi afg acefgh achi e hi b²c efi b cef ab² bef beh bcf ace bei acfi cfgi afgh ae bgi afi abcefgi abhi efgh aceh abcgi f bceh bhi cefgi aceh af bcefgi acegh ai ehi cfgi b²c efgi h aehi ehi bef bcegh gi efi aceh chi behi bchi acefh cehi cegi acegi bi bchi abcegh aefi bcfgi aeg acgh fgh aceh ceh abcef bce cfg acefi bcgi af bef acegh cefgh fhi cef abcefg afi h aef bcfh acfi agi aefgh aei ah bce bfhi bcehi fgh bcfgi abfgh abcefh acfgi abcgi bcfgh beg efgi bgi abce abcegi ce ef chi bce begi aehi fhi abe acf cfgh ai cfhi efhi bcefgh fgh abhi eh bgh bcefh bce cfh b afhi abei i acfi bcgh acef begh abehi abcef acefi bcfgh acehi chi acefgh abcefhi aehi ce ceg abcg bce abfhi aghi abcefhi i ai acfh abcfi aefh abcehi bcefhi be bghi bcfi acef befgi b²c f cghi abghi abfg bcehi chi acghi abcfi ae bce bceh fh cfh ace bcefgi bce cfg aefh ehi bcfg abcfi bce ah befi ehi bfhi be bce ai acefi bc bcefhi fgi beg abci cefg cefgi abcefhi ab²c cefh bcfgi bce bef bcghi ab²c abcfi aefgi aci ghi aghi ceghi b abhi aeghi afh abgh bcf abfh abcg bce acghi bfgh bg bghi aceg acfh abceghi bcfh abf aeghi ab²c fgi bfhi bf cefgh bcef abcef achi abfhi e abei fghi aceg acef bfh acfghi aefgh bce abci b bfh aeg abce acfghi aef aefg bfghi g acfhi bfi bg bcfghi acf abcefg befghi aefh cefgi bcefhi f afgi acgi bf acefi abcghi bcefg abcgh ae g acgh h aghi b²c cef bchi befgi cf cg efghi efg cefghi

Monoid Structure