Details Page for 0.3167

Complete Solution is Known:

MSV File: q-0.3167.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₇₂(0.3167):

Q = <a,b,c,d,e,f,g | a²=1, b³=b, bc=ab, c²=b², cd=ab²d, d²=b², b²e=e, ce=ae, e²=b², b²f=f, cf=af, f²=b², b²g=g, cg=ag, g²=b²>

P = {a, b², ad}

Phi = 1 a b b² b ab c b²d ab²d d ab bd b e ab² ab ae b e bd b²d ab²d b²d ab²d ab² ab b e abe ab² abe be abd ab de e be b²d abe b e b ab² ab²d abde ab²d bd ae bd de e ab² f af b e ae b²d ab²d b²d f df abd b bf abe bde be b e bd ab²d abde ab²d b²d abe b e f ab² abe ab²d df f b²d e bdf be bde af abf b ae abdf b²d ab²d b²d f ab abd e b ab² af be e bd de bdf be b²d f af b bf ab abe af adf abde de bd b e be abe af bef e ae ef b²d ab²d f bdef ab ade bf abe b²d af f e bd de abde ab²d abde abe b e bf ef af aef f adf ae bd bdf def bde df af e ae abf b²d abef ab²d adf bdef g e abdf abe bde f e de bd bdf abd ab²d b²d abef b e ef g abe af bef ade g abde ab²d def abe af e ag b abf aef abde ab²d b²d bdef abd abdf abe be abef af f ab bd abf abde f b²d bdef g ag ef abe bef af bef ade g ade adef be adf bdef ag ae bf ef af abde f de g def abdf bg af abef af bef abf de b²d abde b²d bd df g adef be abe af f aeg de abdg aef bg bdef df bdef g ag ab aef abe dg f bde def ade abdf bg abg af ab b abf bdf bdg adeg abdef bdef g abeg adef abg bdef f bef abdg beg abdg abde abdef adf b²d g ag bf abdg adeg abef f af dfg bdf abde abg bg abef g f ab bf bdg abdg f abde df beg adef abdf eg bef f bef bdeg abf bdf abdf ab²d df bdef g adef bf adeg abdg bef ab²d dg g bdf bf abg df af ag aef adef abf bdg abdg adf b²d beg afg abdf abg e af f ae abeg abf adfg bdg adf bfg bdef g abdf abf abg af f dg adg aef bdf abdf abg adf af beg ef e aef bdg f abdef b²d bdf abdf adef bg af abef bef beg abf ef adfg deg adf df bdef ag bf abdg ae abe f dg g abf de eg adf df beg ag abdf bf bdg f bfg abde bdef bdf abdf aeg eg abfg abef bfg adg b bf bdg abdef ab²d efg g adef abg ae abef be f dg adfg abf de abdg bfg df g beg aef bg eg f bef abde dg def abdf ade eg abef bfg abe bf b abdg abd adf ab²d b²d bdf abdf aeg eg abef f be adg abdg abf ade

Monoid Structure