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 Q₅₇₆(0.3163):

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 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 f c abe bd cd bd ac bce abd d abc ab² bce bd d bd ad be e ac abc ce abc e ad bd ce abe e abcd cde d bcd acd ad bd ac abce ce be bd ac abd e be bd ac abcd e d ae ac abd acd be bd ac abcd e abcd abc d f cde be e cd bc cd abcd e c abd acd bcd e abe f ad d e bcde abc ab² be e bde f bf abcd e be bcd d abcd e be de cd abcd e be bcd acd abcd acd b e bde f cd abe e abe bcd bf be ae bce bd abde be e be bcd acd abe ab cd abcd ad abcd e bd f acd bcde e cd abcd ad d e abe abcd acd be ce be ade cd f af be bcd cd bcd d be ce cd abcd acde be bcd acd bcd f cd abcd cd abcd af abe e abce bcd d abd abcd abd bd abf abe ad acd bcd acd af d be abcd ad cf bcd bc ade acd abd e be ace ad bd ad be ce bcf bd d abe abcd cd bd ad be e bcf abd ad abd e bce bd ad bd e abce abd d abd d abce f ad bd ae bce cf d bd e be cde ad abd ad be cde d abd ace be e ac abd ae bd ce bf abd d be ab² ad bd ce abe abc d bd af abe e be bd ad abcd ae bce abd acd f e bce af ad abcd e bce abd bf f acd ac e bf bd ae abcd cde abf af acd ad e ac abcd bf be e abcde abd bf be bd bcde abcd bcf c abd be abc bf bcde ab² bcde f bf abcd e be f acd abcd e be acf cd abcd b² d ae bcf abd acd be ace cd abcd e abe ce acd f bd abe abcd abcde bcd bcf ab² ae bce bcd acd be e bce bd acde f e abe abcd acd be e ad abcd bcf be ce be ac cd acf e be e cd abcd ae be ce bf af ae abc d bdf abcd bcf bd ac bf abd d be e cd bd bcf abe ac abce bcd abcf abe abcd abce acf abdf bde ad be af d df ae be ace abf f b bd abd ad cf e abe ade bf df ce be cf bf af ace abc ace d f bdf abe ce abf af ab be ce ad f bcf bce ce ab f d abce ce ad bd ad abce ce bce abd abcf abce ae be af ad abce ac d bd d cf ace be bd ad df ce d ce d f abcf abe acd bf f ace be abd d af ace be bd be f abf abe cd d af bf be bc abe af bcf bce e be cde bf bce bc be acde abf df ae d abd abf df ae ac bd bf f ae d ae abf f acde be e ad f abc d ac abe af bcdf be ab² be af bcf abe e be f bf ac e be f bf f e d af bf adf e abe abcd bcf abcd e be ade bf af ae be f cd f ae bde acde bf af bf be ae abf af bdf be bcd abce ad e b² d abce f abf bcde ae abde af e acf abcd abc d cd abe ade bd bcd abf acdf e be d cd cf ce be ac bf af bcf abc ae abf be cde bc ce bde f abcf cd e bce acf bcf acd e bde af ab be d abce f ad acf bcd abce af bf bce d abc acf bcf acf ce acd cf bcf af abcd bce acf abf ab² ce be b² bf abd ace bce ace abf bd bcf be ace ab af de bce ce ad f bcdf bce ce ab bd abcf bce e bce af abf acd ce ef cf abcd af bc abcde ae abf cdf ce ab acde bf bce abcdf abe ab² d acf ade be b² bf af ade bde ab² bcde f bcf c b² bcde af bf be ae abcde f bf be e ab f bc abcde bd bcde f abf f ae bcde acf acd ac cde ad acde abf c e be acde bf cdf e ad e abc c abf be ac bf af acde abe e bcde af bcf abe acde abf f bf be bd be f abf bce cde abcde abcd bcf bcde bc abc f bf bcde ae abcde ac bc be ae bce abef bf abcde abd be ce bc abcde acde be c abc cf ae bce ac abde f e be ce abc f e bcde ce bce f bf abcde abcd bdf d abf abcde ace abde f bf acf ce abf f bf f b bce cf bf af abcf bce ade abf af abef abce cf bcf acf abcf bce bd abf acf ade ab² e abcf acf ab bce ce bdf ab² bcf bce ce bde f bcf b² abcd bce f bf ab² ad bce af bf af abcd be adf abf ab² ce bce af bf f abcd cd acf bf acf ce abce ade ab df ce abce bd bf cf bcd acd cde be cd abcd ef cde bcf adf abcf cdf de abe f bf bce e be acd bcf bce de ab af abf acf abcd bcde cde bcd acf abc bde cd abf af bcdf be cde bf af abd d e bf cf bd abe acd abf f bef c abc d cf bf ac bd bcf f abf d abd be af bcf ac bd bcd f abc acf e be af bf af e be ab² bf d abc d bef bf cf bd ac bcef bdf d abd d e bf ad bd ad e abf d abd c e bf df bd acdf cde abc f bf f abd ef acdf bd ad ae cef d bcf af abd cef abcef bd ad bd cef bcef bcf f bcd d acdf bf af cde aef ade bcf acf bcf be de bf af abcdf ad bcef bcf f bcf d bcef aef cf abcf cd de abce abcd bcf bcde cde abce f bcf cd bcef abde cf bcf acd ace cef bcef bf af ab abc bcef bcf cf bcf abce bcef abdf af ab b² abef bcf f bcd bde de bcf acf abcd cd ade bcf acf bcd acd de abcf cd abcd bce de ef acf bdf acd bcd ef cf bcf cd bd acef adf bcd cef abf be cf bcf cd abcd bde bcef bcd acd ade abde b² abcf cf bd ef e bcd acd bcf d e abcd f bcf cd bef abcf acd abdf d e be cf abcd cd bef bcd bdef abcdf acd abc be cd bcf ad bef be acf bcf cdf abd d af abf af bd ad ab² bcf cdf abc be bcef ef af abcd ad bcef bcf cdf bcdf cdf bcef bf abcef abd be e be d bcdf aef e abcde cf abcd ac bd abcde cdf bdf acf abef bcde ac bcdf ad ae ad cdf abcdf acdf abd cef cd bd cdf bd cef bef abcdf d bdef bcde acdf bf ad abdf aef bcef bf acf bcd d bcef ef ad abd aef bef bcd d bdf d cde cef cdf abcf def bef abcdf cdf bf aef bef cef bef abdf cd abef cef cdf abd acd abd acd bdef bd ad bdf cef d abd

Monoid Structure