Details Page for 0.1732

Complete Solution is Known:

MSV File: q-0.1732.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₈₂₉(0.1732):

Q = <a,b,c,d,e,f | a²=1, b³=b, b²c=c, c²=b², b²d=d, d²=b², b²e=e, e²=b², b²f=f, f²=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 f acd abe abe de bce f acde ab² abe d de abce bd bde ce abe d bce abce bde abd abe abcde ad ae ae abd ce ace ad ad ae abd abd abc abe d e e abd bde be ade d ac abd bd be be d c e abd abd bc ade ab ac bd abd abc abe ad ad c abd abde be ad d e abd bde abc abe d abcde ae bde f bc abe bcde d ae abd bd abe bcde ae ae abd cde bc d ce c ae bd bde ce abcde ad f ae abd be abe ad ac f abce cde abf abe bcde abcd bce bde cd abe ace bcde ade abce bde acd abe de abcd bce bce bde acd ce abcde abcd bce bce acd ce ce abcd bce cde bde ce f de de abf bde abde abe ace abcde acf bde abc abde ace ab² ade f bde bde abf de ad ade f abd cde ace ade ad cf bce abd abcf bf ade de d cde bde ace ade ad df abde abd bdf bf de ad f bde abd cf acf bcde ad f abd bd abc de ade df bde abd ace cf d d abcf bde ab² bdf cf d bcf bde bde ab² bf de abcde af af ab² bc ade ad c adf abd cde abe ad bcde f df bde bdf bdf d abcde f abde cde bdf acf ab abcd bcf ab² cde acf bcde bcde bcd acdf cde cd acf bcde abcd abcf abce cde acd bcde de abcd acde cde bdf acdf bcde bcde abcf bce bde acd abcde bcde f adf abce bdf abf bcde ac bcd cde cde abf bdf de de df bcf abc abf cf abcde f abcf acde abf bdf bcde de df abcdf abde bdf abf de de f abde bde abdf abf c df bcf abde bde cf ade de bcdf abde abd bdf acf de df bcf bde bdf acf ef bcdf bcf abde abd bd acdf de bcdf f bde cdf abdf de ad f bde bde cde bdf de abcde df abde bd bf ade de df df bde cdf cdf ade de bcf ef bde cde bef abcde bcde bcdf bde abce bef ade bcde bcf abcdf bde acf abdf ade bcde bcf af abde cd acf bcde abcd bcdf cde cde cdf bcde bcde bcd ef cde acd acf abcde bcde abcf cde cde acf bcde bcde abcd af cde acd acf bcde bcde bcf cde cde acf abcde bcde abcd adf cde bde bdf bcde ce df acde cde acd abcde de ef abe aef bde acf abef ade bcf af cde bde abf bcde ade abe bcef bde bde abd de de f bde abde acf acf abcde bcf abef ef abde abd ade de bcf bde bd bf aef de abcf bcef bde abc abd bce d abcdf abcef bde bf acef de de d ce bde bf ade de bcf abde bde bdf cef ade abef df bde bde cde ade de bcde abde acde bde abd ade bef bcd abcdf bde cf de bef bcde df cde e acd ade abcde df abcd acde cde bef ade ade df ef cde acd abf abcde bcde bd bde bce cd bcde ace abcd df cde bce acf bcde bcf bcd cde abce cd bcde ace bcf adef be acde abf bcde ce bcd be cde acd ae abcde ce abe cde acde ae e bcde abcf be bde abf e bcde bcdf be be acde ae ae bcde f be acde bde e abcde ade be be bde ae e de be be abef bde e ade ef ad ace ce ae e de be be abcef bde ae bdef de be abcf bde e abdef de de abcf abcef bde bd bdef de bcdf ace ace ae bdf bce de d abcd bde e acd de d bcd ace bdef bce bce abef ace bcdf acde acde abce bce abcde df ace ef bce bce bef ce ace ef cde acd abce abcef ce ace acde bce bce abcde bcde ace ef cf acd e abef ce abe ef bce cd abef ace bcd ef acef bce bce bcde ace abe bcdef bdef cd bce bcdf ce abe ef acd e abcde ce bcd bcdef bcef ae e abcde f be aef bce e e f d be bcef abf e abef f bcd be bf e e f bcd be bcef e e

Monoid Structure