Details Page for 0.3163

Complete Solution is Known:

MSV File: q-0.3163.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₅₈(0.3163):

Q = <a,b,c,d,e | a²=1, b³=b, b²c=c, c²=b², b²d=d, d²=b², b²e=e, e²=b²>

P = {a, b²}

Phi = 1 a b b² b ab ab² ab b² c ac ab² b ab² ab ac b² b b² ab ac c b ab² b d b² ab ab² b d bc ab ab² b c abc ab ab² b d abc ab ab² b ab² abc ab b² bc ab² bd b d ac ab² bd b ad ab b² bc c ab² ab d b c ab² ab b² bd ac ab² b c bd c b² bc d ab² b bd abd d abd c b² ab ac bc c bc ab ac bd c abc ab ac bc ac ab² acd c b ac abc acd c bc ac bc cd ad abc c bd c ad abc ac bc cd ab² abc c b cd ad bd c bc ac d b c bc ab² bcd bd cd ab c bcd b² ab² abc c bcd bd bcd bc b² bc abc ac e c bcd ab² ac bc cd ab e be b c abc e d bd ac bc cd c e ac b cd be e ac b bd ab abd c b cd ad e b² bcd ac ab e acd abc cd be bd be ab b² abcd b² ab² b ab² b e ac ab abd ab e be abc c bcd ab² be bc b² ab abd be b d b e be e ac ab ae bc e acd abd ab² be abcd ac b e be ad ab² b e abc e cd bc b² be e be bcd ab² b e cd abcd b² bc e bd abc acd be c be ab b² ab ad acd ad c abc ab² be bcd cd ab ac be bcd bce b c abd ab ac bc ac bc e acd abd c abd d bce bc ac abd ac c bc c abc e bce bc ab² bc ce be abc c abc c be ace ac bd ce bce ae ab² abc c abc bc ac bc ac ab ce c abc ab² be e c ab ac bd e d abc ad b ce ac abd ac bd e d abc c abc ab² be bc c ab e d bc d abd ab² bcd bc cd ab cd be abc ab² abd ab² be abc ac ab ac be abc be bd acd abe e bcde bd ac abcd abc be bd ab² abe e be ab ab² abe e be abc acd abe ab² ac ace ac ab e ab ae c abd d be cde cd ab cd be bcd d ab ab² be e cd abcd acde be e ab² abc ab² be e be ab ab² ab ac abe bcd ab² bcd e be bd ab² ab e be bcd ab² abe d be ace ad ab d be ace acd ab e abe abcd abce bd ac be e d bcd acd abd ab ac ab ad abe e abce abc d bde ab bce ab ac bd e bce ab ab² abce e abce bd ad bd ac ab² bcd d abde ae bce ace ac ab ad be cd ab² abd d be ce ad abc ac bd ac d ab ab² abc e abce ab cd be e d abc ac abd ce bce ab ac bd cd d abc ad abd e bce bd ac bd e bce abd ab²

Monoid Structure