Details Page for 0.1733

Complete Solution is Known:

MSV File: q-0.1733.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₇₀(0.1733):

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 a b b ab c b² ab² ab² b b ab c ab² ab² bc b b c ab² ab² bc ab ab b ab² ab² bc bc ab c b b² ab² bc abc ab c c ab² b² b abc c c ac ab² ab² abc ab c c ab² abc bc ab ac c ab² abc bc bc ab b c d bc bc bd c b d d bc abc c c ac d bc abc abc c c ac d bc abc bd b c d abc bc ab² ac c c abc bc ab² bd c b ab bc b² ab² ab² b ab d bc ab² bd c ab d d ab² ab² bd c ab d bc ab² ab² c ab b b ab² ab² b² c ab b d ab² ab² c bd ab d bcd ab² bd b ab d c ab² ab² bd b ab d ab² ab² abd abd ab ad ab² ab² abd bd ab e b ab² ab² bc bd ab bcd c b² ab² bc abc ab c d ab² ab² b ab c c ab² ab² bc ab ab c ab² ab² bc bc ab c c ab² bc bc bd c c d abcd bc abc bd c ac d bc abc abc c c ab² ad bc abc abd c c ab² abc bc bd ac c d abc bc bd bd c c d abc bc ab² bd c bcd d abc abc ab² c c ad d bc ab² bd c ab d d abc bd bd ab ab d ab² ab² bd c c b bc ae ab² abd c ad ad e bd bd c be d ad ab² bd bd ab be d ab² abc abd bd be d d bcd bd bd cd c b bcd e abd bd be ad d abcd e abd cd acd ad d abcd ab² bd acd ce c bcd e bd cd ab c c abc bc bc cd c c bcd bc bc cd c c ab² bcd bc bd bd c bcd d bc cd abc c c ac abcd bc abc ab c c ab² abc bc ab ac ae bcd abc abc cd bd ac bcd d bc abc bd abd ac d ad abc cd abd ae ac bcd ad bc ab² abd c be ab bc ae ab² bd abe ab abc bc e bd c be d bc e ab² bd be be d ae bd c abd be d ad e bd abd be be d e e bd bd be d d ace bd bd be ad d e e bd bd cd ad d bcd abd abd cd be ad d e abce bd be be ad bcd bd acd cd be ad bcd e de bd cd ace d bcd e abd cd cd ad ab² bcd bce bd cd abe bcd bcd bce cd bd acd bcd bcd abcd bce cd ab ce ace ad abcd abce cd acd ace bcd bcd ae cd cd ace abcd d bce ae bd cd ac bcd d abc cd bd ace ace d bce abc cd acd c bcd ad bce abc abd abd be bcd abc abc cd ab² abe be ad de ae abd bd abe be d ae cd bd abe be d ad ae bd bd abd be d ad e c ace be d d ae abd bd be ad d d e ab² bd be ad d e c bd bd be d d e bd abd cd bc ad e bd ab² cd be ad e bcd c bd bc ce ad bcd e abd cd be ce d c abd cd cd be ad bcd e abd bd acd ace bcd bcd abce cd cd ce bcd bcd abce bce bd be ce bcd bcd bce acd bc ce ab² bcd e bce abc ce abe ab² bce bce cd abc ce bcd bcd bce abce cd acd be bcd abcd e bce abd ce be abcd ad e acd abd ce abcd ad ad ae acd abd abe d ad e bde bd be bcd d abce ae bd abd abe d ad e ae bd abe be d ad bce abd bd be abe d e e c bd be ad d e e bd bd be d d e bd abd abe d d e bd bd be be d e c c abd bc d ad ac e bd be abc ad bcde bcd bde abd bc abe d ac ac abd abe abe ad d ac abd abd abe be ad abcd e abd cd abc ad bcd ac bce acd bc ce ad bcd e bce abd ce abe ab² abcd ac abce abc be bcd bcd e bce ab bc be bcd abcd b cd acd ce ce abcd bce e

Monoid Structure